 View all upcoming workshops at MSRI
 MSRI Programmatic Workshops
 How to apply for workshops
 Resources for workshop attendees
 MSRI Policies for Program and Workshop Participants
MSRI Programmatic Workshops
MSRI welcomes registrations for our upcoming workshops, listed below. Established researchers, postdoctoral fellows, and graduate students are invited to apply for funding.
Most MSRI workshops are free of charge to attend, thanks to the support of the National Science Foundation and other institutional sponsors.
Programmatic Workshops related to MSRI's Scientific Programs fall into one of the following three categories:
INTRODUCTORY WORKSHOPS
Introductory workshops set the stage and provide the context for the scientific program, with the intended audience being researchers not in the program. This would include members in the other programs, members of the local mathematical community, and participants from outside the area selected especially for the workshop, particularly from groups underrepresented in research intensive contexts: women, minorities, mathematicians not located at research centers, and graduate students. In selecting participants, priority is given to these latter groups. Introductory Workshops have been effective in broadcasting the goals, ideas and techniques of a particular program to the mathematical public at large, as well as in bringing the MSRI community together as a whole.
CONNECTIONS WORKSHOPS
Connections Workshops have a long, successful history of encouraging earlycareer women and genderexpansive individuals in the profession. Held at the very beginning of semesterlong or yearlong programs at MSRI, these workshops have three overarching goals: (1) to give accessible introductions to the main themes of the program and exciting new directions in related research; (2) to provide participants the opportunity to become acquainted with the work of women in the field; and (3) to connect earlycareer researchers, especially women, genderexpansive individuals, and minorities, to potential senior mentors. A typical workshop consists of introductory lectures, presentations by postdoctoral researchers and graduate students, and a panel discussion addressing the challenges faced by all young researchers, but especially by women, in establishing a career in mathematics.
Throughout the workshops, special effort is made to foster mentoring relationships between established and earlycareer researchers at the lunches, dinners, and coffee breaks. Participants of the Connections Workshop are encouraged to stay for the following week for the Introductory Workshop to the semester’s program. The workshop organizers are also encouraged to propose weekend activities for small groups of women with similar research interests to discuss problems and perhaps to begin work on a joint research project (e.g. forming small research or study groups that would work on predetermined problems, read a paper, or leanr new techniques). As is the case for all MSRI workshops, registration to attend Connections workshop lectures is open to all interested persons.
TOPICAL WORKSHOPS
Directed toward the mathematical community at large, topical workshops are designed to interest and attract young researchers and other mathematicians active in the field.
 MSRI provides a yearly Hot Topics Workshop, to showcase what is new, innovative and interesting to the mathematical sciences community at the present time.
 The Critical Issues in Mathematics Education (CIME) workshop series offers an annual spring workshop designed to engage mathematicians, mathematics education researchers, and K12 teachers to learn about research and development efforts that can enhance their own work and about the contributions they can make to solving the challenges of mathematics education.
How to Apply
Use the calendar below to navigate to the specific workshop you are interested in attending. On the right side menu, you will see a Registration link. Follow the instructions to register for each workshop.
 ORCID ID: In order to register for most MSRI workshops, MSRI needs to collect your ORCID ID as required by the National Science Foundation, the primary funder of these workshops. ORCID is an independent nonprofit organization that provides a persistent identifier – an ORCID ID – that distinguishes you from other researchers and a mechanism for linking your research outputs and activities to your ID. ORCID is integrated into many systems used by publishers, funders, institutions, and other researchrelated services. Learn more and create an ORCID ID account at orcid.org. Questions? Contact coord@msri.org.
Resources for Workshop Attendees
Nursing Room: MSRI is pleased to be able to offer a private room for nursing parents.
Childcare Grants: To allow visitors to fully participate in its scientific activities, MSRI is pleased to be able to offer childcare grants to researchers with children under the age of 17. One of the objectives of MSRI’s family support program is to contribute toward MSRI’s goal of enabling the participation of women and members of other historically underrepresented groups in its programs, workshops, and summer graduate schools
These flexible grants may be used for reimbursement of childcare expenses incurred in Berkeley, or at home, including airfare for children and support for companion caregivers or hired childcare providers in Berkeley or to cover the costs of such help at home. Please note that, because these funds are taxable, they are available only to US Citizens and Permanent Residents, and foreign visitors with a visa status that allows for compensation, such as a J1. We are deeply grateful to our Family Support Donors for their generosity.
If you are interested in receiving a childcare grant, please fill out this form: https://www.surveymonkey.com/r/Z368L3N.
MSRI is unable to offer any onsite childcare services in Berkeley, nor are we able to make recommendations for child care providers. For convenience, participants looking for childcare resources may find the following links useful:
 Bananas offers free referrals to licensed childcare providers and provides information and resources to families with young children.
 Berkeley Parents Network is an iconic website where parents can look for and recommend childcare.
MSRI Policies for Program and Workshop Participants
Funding Opportunities: It is the policy of MSRI to actively support a diverse audience at these workshops. Thus, a strong effort is made to remove barriers that hinder equal opportunity, particularly for those groups that have been historically underrepresented in the mathematical sciences. Women, genderexpansive individuals, minorities, mathematicians not located at research centers, recent PhDs, and graduate students are particularly encouraged to apply for funding to attend.
MSRI Collegiality Statement: MSRI is committed to fostering an atmosphere of respect, collegiality, and sensitivity. Please view the complete statement here.
MSRI Anti Discrimination and Harassment Policy: MSRI is committed to providing a welcoming environment free from discrimination on the basis of race, color, creed, religion, sex, national origin, age, physical or mental disability, family care status, veteran status, marital status, sexual orientation, identification or expression. Likewise, the Institute will not tolerate harassment based on these characteristics, or any form of sexual harassment. Please view the complete statement here.
Current all workshops

Commutative Algebra and its Interaction with Algebraic Geometry (Notre Dame)
Organizers: Steven Cutkosky (University of Missouri), LEAD Claudia Polini (University of Notre Dame), Claudiu Raicu (University of Notre Dame), Steven Sam (University of California, San Diego), Kevin Tucker (University of Illinois at Chicago)Commutative Algebra has seen an extraordinary development in the last few years. Long standing conjectures have been proven and new connections to different areas of mathematics have been built.This summer graduate school will consist of three minicourses (5 lectures each) on fundamental topics in commutative algebra that are not covered in the standard courses. Each course will be accompanied by problem sessions focused on research. Five general colloquiumstyle lectures will be given by invited scholars who will also attend the school and help with afternoon research activities.
Updated on Mar 20, 2023 01:33 PM PDT
Upcoming all workshops

Formalization of Mathematics (SLMath)
Organizers: Jeremy Avigad (Carnegie Mellon University), Heather Macbeth (Fordham University at Lincoln Center), Patrick Massot (Université ParisSaclay)Computational proof assistants now make it possible to develop global, digital mathematical libraries with theorems that are fully checked by computer. This summer school will introduce students to the new technology and the ideas behind it, and will encourage them to think about the goals and benefits of formalized mathematics. Students will learn to use the Lean interactive proof assistant, and by the end of the session they will be in a position to formalize mathematics on their own, join the Lean community, and contribute to its mathematical library.
Updated on May 11, 2023 02:03 PM PDT 
MSRIUP 2023: Topological Data Analysis
Organizers: Federico Ardila (San Francisco State University), LEAD Maria Mercedes Franco (Queensborough Community College (CUNY)), Rebecca Garcia (Sam Houston State University), Jose Perea (Northeastern University), Candice Price (Smith College), Robin Wilson (Loyola Marymount University)The MSRIUP summer program is designed to serve a diverse group of undergraduate students who would like to conduct research in the mathematical sciences.
In 2023, MSRIUP will focus on Topological Data Analysis. The research program will be led by Dr. Jose Perea, Associate Professor in the Department of Mathematics and the Khoury College of Computer Sciences at Northeastern University.
Updated on Mar 20, 2023 08:50 AM PDT 
Algebraic Methods for Biochemical Reaction Networks (Leipzig, Germany)
Organizers: Timo de Wolff (TU Braunschweig), LEAD Alicia Dickenstein (University of Buenos Aires), Elisenda Feliu (University of Copenhagen)The aim of the course is to learn how tools from algebraic geometry (in particular, from computational and real algebraic geometry) can be used to analyze standard models in molecular biology. Particularly, these models are key ingredients in the development of Systems and Synthetic biology, two active research areas focusing on understanding, modifying, and implementing the design principles of living systems.
We will focus on the mathematical aspects of the methods, and exemplify and apply the theory to real networks, thereby introducing the participants to relevant problems and mechanisms in molecular biology. As a counterpart, however, the participants will also see how this field has in the past challenged current methods, mainly in the realm of real algebraic geometry, and has given rise to new general and purely theoretical results on polynomial equations. We will end our lectures with an overview of open questions in both fields.
Updated on Apr 24, 2023 03:46 PM PDT 
Séminaire de Mathématiques Supérieures 2023: Periodic and Ergodic Spectral Problems (Montréal, Canada)
Organizers: Alexander Elgart (Virginia Polytechnic Institute and State University), Vojkan Jaksic (McGill University), Svetlana Jitomirskaya (University of California, Irvine), Ilya Kachkovskiy (Michigan State University), Jean Lagacé (King's College London), Leonid Parnovski (University College London)This two week school will focus on spectral theory of periodic, almostperiodic, and random operators. The main aim of this school is to teach the students who work in one of these areas, methods used in parallel problems, explain the similarities between all these areas and show them the `big picture'.
Updated on Apr 06, 2023 06:24 PM PDT 
Mathematics and Computer Science of Market and Mechanism Design (SLMath)
Organizers: Yannai Gonczarowski (Harvard University), Irene Lo (Stanford University), Ran Shorrer (Pennsylvania State University), LEAD Inbal TalgamCohen (TechnionIsrael Institute of Technology)This school is associated with an upcoming research program at MSRI under the same title. The goal of the school is to equip students unfamiliar with these topics with the mathematical and theoretical computer science toolbox that forms the foundation of market and mechanism design.
Updated on May 11, 2023 12:37 PM PDT 
Topics in Geometric Flows and Minimal Surfaces (St. Mary's College)
Organizers: Ailana Fraser (University of British Columbia), LanHsuan Huang (University of Connecticut), Catherine Searle (Wichita State University), Lu Wang (Yale University)This graduate summer school will introduce students to two important and interrelated fields of differential geometry: geometric flows and minimal surfaces.
Geometric flows have had far reaching influences on numerous branches of mathematics and other scientific disciplines. An outstanding example is the completion of Hamilton’s Ricci flow program by Perelman, leading to the resolution of the Poincare conjecture and Thurston’s geometrization conjecture for 3manifolds. In this part of the summer school, students will be guided through basic topics and ideas in the study of geometric flows.
Since Penrose used variations of volume to formulate and study black holes in general relativity (in his Nobel prizewinning work), the intriguing connections between minimal surfaces and general relativity have been a strong driving force for the modern developments of both research areas. This part of the summer school will introduce students to the basic theory of minimal submanifolds and its applications in Riemannian geometry and general relativity.
The curriculum of this program will be accessible and will have a broad appeal to graduate students from a variety of mathematical areas, introducing some of the latest developments in each area and the remaining open problems therein, while simultaneously emphasizing their synergy.
Updated on Apr 27, 2023 12:13 PM PDT 
Machine Learning (UC San Diego)
Organizers: Ery AriasCastro (University of California, San Diego), Mikhail Belkin (University of California, San Diego), Yusu Wang (Univ. California, San Diego), Lily Weng (University of California, San Diego)The overarching goal of this summer school is to expose the students both to modern forms of unsupervised learning — in the form of geometrical and topological data analysis — and to supervised learning — in the form of (deep) neural networks applied to regression/classification problems. The organizers have opted for a lighter exposure to a broader range of topics. Using the metaphor of a meal, we are offering 2 + 2 samplers — geometry and topology for data analysis + theoretical and practical deep learning — rather than 1 + 1 main dishes. The main goal, thus, is to inspire the students to learn more about one or several of the topics covered in the school.
The expected learning outcomes for students attending the school are the following:
1. An introduction to how concepts and tools from geometry and topology can be leveraged to perform data analysis in situations where the data are not labeled.
2. An introduction to recent and ongoing theoretical and methodological/practical developments in the use of neural networks for data analysis (deep learning).
Updated on Mar 19, 2023 06:44 PM PDT 
Introduction to Derived Algebraic Geometry (UC Berkeley)
Organizers: Benjamin Antieau (Northwestern University), Dmytro Arinkin (University of WisconsinMadison)Derived algebraic geometry is an ‘update’ of algebraic geometry using ‘derived’ (roughly speaking, homological) techniques. This requires recasting the very foundations of the field: rings have to be replaced by differential graded algebras (or other forms of derived rings), categories by higher categories, and so on. The result is a powerful set of new tools, useful both within algebraic geometry and in related areas. The school serves as an introduction to these techniques, focusing on their applications.
The school is built around two related courses on geometric (‘derived spaces’) and categorical (‘derived categories’) aspects of the theory. Our goal is to explain the key ideas and concepts, while trying to keep technicalities to a minimum.
Updated on May 17, 2023 04:21 PM PDT 
Concentration Inequalities and Localization Techniques in High Dimensional Probability and Geometry (SLMath)
Organizers: Max Fathi (Université Paris Cité), Dan Mikulincer (Massachusetts Institute of Technology)The goal of the summer school is for the students to first become familiar with the concept of concentration of measure in different settings (Euclidean, Riemannian and discrete), and the main open problems surrounding it. The students will later become familiar with the proof techniques that involve the different types of localization and obtain expertise on the ways to apply the localization techniques. After attending the graduate school, the students are expected to have the necessary background that would give them a chance to both conduct research around open problems in concentration of measure, find new applications to existing localization techniques and perhaps also develop new localization techniques.
Updated on Mar 13, 2023 11:34 AM PDT 
Mathematics of Big Data: Sketching and (Multi) Linear Algebra (IBM Almaden)
Organizers: Kenneth Clarkson (IBM Research Division), Lior Horesh (IBM Thomas J. Watson Research Center), Misha Kilmer (Tufts University), Tamara Kolda (MathSci.ai), Shashanka Ubaru (IBM Thomas J. Watson Research Center)This summer school will introduce graduate students to sketchingbased approaches to computational linear and multilinear algebra. Sketching here refers to a set of techniques for compressing a matrix, to one with fewer rows, or columns, or entries, usually via various kinds of random linear maps. We will discuss matrix computations, tensor algebras, and such sketching techniques, together with their applications and analysis.
Updated on Nov 03, 2022 11:59 AM PDT 
Foundations and Frontiers of Probabilistic Proofs (Zürich, Switzerland)
Organizers: Alessandro Chiesa (École Polytechnique Fédérale de Lausanne (EPFL))Proofs are at the foundations of mathematics. Viewed through the lens of theoretical computer science, verifying the correctness of a mathematical proof is a fundamental computational task. Indeed, the P versus NP problem, which deals precisely with the complexity of proof verification, is one of the most important open problems in all of mathematics.
The complexitytheoretic study of proof verification has led to exciting reenvisionings of mathematical proofs. For example, probabilistically checkable proofs (PCPs) admit localtoglobal structure that allows verifying a proof by reading only a minuscule portion of it. As another example, interactive proofs allow for verification via a conversation between a prover and a verifier, instead of the traditional static sequence of logical statements. The study of such proof systems has drawn upon deep mathematical tools to derive numerous applications to the theory of computation and beyond.
In recent years, such probabilistic proofs received much attention due to a new motivation, delegation of computation, which is the emphasis of this summer school. This paradigm admits ultrafast protocols that allow one party to check the correctness of the computation performed by another, untrusted, party. These protocols have even been realized within recentlydeployed technology, for example, as part of cryptographic constructions known as succinct noninteractive arguments of knowledge (SNARKs).
This summer school will provide an introduction to the field of probabilistic proofs and the beautiful mathematics behind it, as well as prepare students for conducting cuttingedge research in this area.
Updated on Apr 18, 2023 02:28 PM PDT 
Connections Workshop: Algorithms, Fairness, and Equity
Organizers: Vincent Conitzer (Carnegie Mellon University), LEAD Rachel Cummings (Columbia University), AnaAndreea Stoica (University of California, Berkeley)The Connections Workshop will welcome participants of all genders and identities, with the scope of fostering a sense of community, amplifying voices of those who identify as women, and providing avenues to allies to be helpful. The workshop particularly aims to increase visibility among junior women in fields adjacent to the topics of the general program, including but not limited to gametheoretic fairness, mechanism design, partition, networks, redistricting, and fairness in machine learning. This twoday workshop will include keynote speakers, lightning talks from participants, panel discussions on career advancement, breakout sessions by research areas, opportunities for networking, and other mentoring activities.
Updated on Jun 01, 2023 12:11 PM PDT 
Introductory Workshop: Algorithms, Fairness, and Equity
Organizers: Vincent Conitzer (Carnegie Mellon University), LEAD Moon Duchin (Tufts University), Wesley Pegden (Carnegie Mellon University), Dana Randall (Georgia Institute of Technology), LEAD Soledad Villar (Johns Hopkins University)In this workshop, we will bring together speakers who are engaged in the active areas of scholarship around algorithmic fairness, the disparate impacts of facially impartial systems, and the ways that algorithms can be enmeshed in governance and decisionmaking—for better and worse. The speakers will introduce themes that will be picked up throughout the semester program on "Algorithms, Fairness, and Equity."
Updated on Jun 01, 2023 11:32 AM PDT 
Connections Workshop: Mathematics and Computer Science of Market and Mechanism Design
Organizers: Michal Feldman (TelAviv University), LEAD Nicole Immorlica (Microsoft Research)The Connections Workshop will consist of invited talks from leading researchers at all career stages in the field of market design. Particular attention will be paid to realworld applications. There will also be an AMA focused on career paths with highly visible individuals in the field, and a social event intended to help workshop attendees network with each other.
Updated on Jun 01, 2023 12:10 PM PDT 
Introductory Workshop: Mathematics and Computer Science of Market and Mechanism Design
Organizers: Scott Kominers (Harvard Business School), Paul Milgrom (Stanford University), Alvin Roth (Stanford University), Eva Tardos (Cornell University)This workshop is multifaceted. In addition to familiarizing graduate students and other junior participants to the topics of the program, the workshop will also reinforce common ground and language among computer scientists and economists and provide an onramp introduction for interested mathematicians.
Updated on Jun 01, 2023 12:10 PM PDT 
Hot Topics: MIP* = RE and the Connes’ Embedding Problem
Organizers: Michael Chapman (New York University, Courant Institute), Anand Natarajan (Massachusetts Institute of Technology), William Slofstra (University of Waterloo), John Wright (University of Texas, Austin), Henry Yuen (Columbia University)This workshop is about the recent MIP*=RE result from quantum computational complexity, and the resulting resolution of the Connes embedding problem from the theory of von Neumann algebras. MIP*=RE connects the disparate areas of computational complexity theory, quantum information, operator algebras, and approximate representation theory. The aim of this workshop is to bridge this divide, by giving an indepth exposition of the techniques used in the proof of MIP*=RE, and highlighting perspectives on the MIP*=RE result from operator algebras and approximate representation theory. In particular, this workshop will highlight connections with group stability, something that has not been covered in previous workshops. In addition to increasing understanding of the MIP*=RE proof, we hope that this will open up further applications of the ideas behind MIP*=RE in operator algebras.
Updated on Mar 30, 2023 04:00 PM PDT 
Randomization, Neutrality, and Fairness
Organizers: LEAD Jonathan Mattingly (Duke University), Berk Ustun (UC San Diego), Rachel WardThis workshop will look at the idea of fairness and neutrality in algorithms and decisionmaking. How it relates to the idea of randomization and how randomization can be employed in the pursuit of neutrality and fairness. The goal is both to bring together stateoftheart research and explore the implications and limitations of the deployment in the real world.
Updated on Mar 27, 2023 09:29 AM PDT 
Modern Math 2023
Updated on May 26, 2023 09:14 AM PDT 
Algorithms, Approximation, and Learning in Market and Mechanism Design
Organizers: LEAD Martin Bichler (Technical University of Munich), LEAD Péter Biró (KRTK, Eotvos Lorand Research Network), Michal Feldman (TelAviv University), Nicole Immorlica (Microsoft Research), Scott Kominers (Harvard Business School), Shengwu Li (Harvard University), Paul Milgrom (Stanford University), Alvin Roth (Stanford University), Eva Tardos (Cornell University)The workshop is aimed at exploring core subjects in the field of market and mechanism design, such as the design of nonconvex auction markets, the design of matching markets with preferences, algorithmic mechanism design, and learning in games. These topics are interrelated and deeply rooted in mathematics and computer science. Each day of the 4day workshop is devoted to one of these topics with talks by leading scholars in the field and panel discussions on major open problems.
Updated on Jun 01, 2023 12:06 PM PDT 
Hot Topics: Recent Progress in Deterministic and Stochastic FluidStructure Interaction
Organizers: Suncica Canic (University of California, Berkeley), LEAD Jeffrey Kuan (University of California, Berkeley)This workshop will focus on the coupled dynamical interaction between fluids and elastic/poroelastic structures, with an emphasis on the most recent and cuttingedge mathematical advances in deterministic and stochastic fluidstructure interaction. The goal of this workshop is to bring together a diverse group of mathematicians in the fields of analysis, modeling, numerics, stochastics, and realworld applications in order to showcase an interdisciplinary approach to the study of coupled fluidstructure systems. A major component of this workshop will be to encourage active participation of early career researchers, such as graduate students and postdocs, and foster synergistic collaboration with established leaders in the field.
Updated on Apr 03, 2023 02:57 PM PDT 
Connections Workshop: Commutative Algebra
Organizers: Christine Berkesch (University of Minnesota, Twin Cities), Louiza Fouli (New Mexico State University), Maria Evelina Rossi (Università di Genova), LEAD Alexandra Seceleanu (University of Nebraska)This twoday workshop will feature the work of mathematicians in commutative algebra who identify as women or another marginalized gender. The talks will be appropriate for graduate students, postdocs, and researchers in areas related to the program. This meeting aims to support young researchers. The format will include plenary talks, poster sessions, panel discussions, as well as the opportunity for informal discussions and connections. The workshop is open to all mathematicians, and members of historically excluded groups and identities are especially encouraged to attend.
Updated on Nov 04, 2022 04:05 PM PDT 
Introductory Workshop: Commutative Algebra
Organizers: Srikanth Iyengar (University of Utah), Claudia Miller (Syracuse University), Claudia Polini (University of Notre Dame), LEAD Anurag Singh (University of Utah)The Introductory Workshop will feature lecture series devoted to some recent breakthrough results in commutative algebra, and to new developments in core areas of the field. It will also highlight links to other areas such as arithmetic geometry, representation theory, noncommutative geometry, and singularity theory.
Updated on Oct 31, 2022 04:02 PM PDT 
Connections Workshop: Noncommutative Algebraic Geometry
Organizers: Rina Anno (Kansas State University), Elizabeth Gasparim (Universidad Católica del Norte), LEAD Alice Rizzardo (University of Liverpool)This twoday workshop will feature the work of mathematicians in noncommutative geometry who identify as women or another marginalized gender. The talks will be appropriate for graduate students, postdocs, and researchers in areas related to the program. This meeting aims to support young researchers.
The workshop will focus on recent developments in noncommutative algebraic geometry including Derived Algebraic Geometry, Categorical and Noncommutative Resolutions, Deformation Theory, and Enumerative Geometry.
The format will include plenary talks, a poster session, panel discussions, as well as the opportunity for informal discussions and connections in noncommutative geometry. The workshop is open to all mathematicians, and members of historically excluded groups and identities are especially encouraged to attend.
Updated on Feb 06, 2023 11:36 AM PST 
Introductory Workshop: Noncommutative Algebraic Geometry
Organizers: LEAD Nicolas Addington (University of Oregon), David Favero, Wendy Lowen (Universiteit Antwerp), Alice Rizzardo (University of Liverpool)This introductory workshop will consist of a combination of minicourses addressing core topics in noncommutative algebraic geometry and research lectures describing recent developments in the field. The workshop will focus on subjects connected to algebraic geometry, category theory, and mirror symmetry such as categorical and noncommutative resolutions, deformation theory, derived categories in algebraic geometry, derived algebraic geometry, infinity categories, and enumerative geometry.
Updated on Feb 22, 2023 03:13 PM PST 
Hot Topics: Artin Groups and Arrangements  Topology, Geometry, and Combinatorics
Organizers: Christin Bibby (Louisiana State University), Ruth Charney (Brandeis University), Giovanni Paolini (California Institute of Technology), Mario Salvetti (Università di Pisa)This workshop brings together experts from different areas to discuss and foster collaboration on several topics of current interest related to Artin groups such as the K(π, 1) conjecture, hyperplane arrangements and abelian arrangements, combinatorial structures associated with dual Coxeter systems, and complexes of nonpositive curvature.
Updated on Mar 30, 2023 04:00 PM PDT 
Recent Developments in Noncommutative Algebraic Geometry
Organizers: Arend Bayer (University of Edinburgh), Graham Leuschke (Syracuse University), Alexander Polishchuk (University of Oregon), Susan Sierra (University of Edinburgh), Spela Spenko (Université Libre de Bruxelles), Gregory Stevenson (Aarhus University)This workshop will give an overview of recent developments in noncommutative algebraic geometry, including NC projective AG, NC resolutions, semiorthogonal decompositions, enhancements of derived categories, and connections to homological mirror symmetry, to enumerative AG, to moduli spaces and to birational geometry. It will in particular focus on speakers who have built new bridges between these topics.
Updated on Nov 30, 2022 09:03 AM PST 
Recent Developments in Commutative Algebra
Organizers: Daniel Erman (University of WisconsinMadison), Linquan Ma (Purdue University), LEAD Karl Schwede (University of Utah), Karen Smith (University of Michigan), Andrew Snowden (University of Michigan), Irena Swanson (Purdue University)Many longstanding conjectures in commutative algebra have been solved in recent years, often through the introduction of new methods that are quickly becoming central to the field. This workshop will bring together a wide array of researchers in commutative algebra and related fields, with the goal of forging new connections among topics, and with a particular emphasis on transformative new methods.
Created on Jul 27, 2022 02:01 PM PDT 
Advances in Lie Theory, Representation Theory and Combinatorics: Inspired by the work of Georgia M. Benkart
Organizers: Hélène Barcelo (MSRI / Simons Laufer Mathematical Sciences Institute (SLMath)), Ellen Kirkman (Wake Forest University), Gail Letzter, Daniel Nakano (University of Georgia), Arun Ram (University of Melbourne)This workshop will have a view to the future of a broad spectrum of topics including
 structure and classification of finite dimensional Lie algebras and superalgebras in characteristic p
 structure of infinite dimensional Lie algebras and their representations
 deformation theory of algebras, double constructions and elemental Lie algebras
 diagram algebras and combinatorial representation theory
 algebraic combinatorics of groups of Lie type:characters, SchurWeyl duality, Bratteli diagrams, and McKay correspondences
 quantum groups and crystal bases, particularly for superalgebras and affine algebras
 examples of fusion categories arising from representations of Drinfeld doubles and other algebras
 cohomology for finite tensor categories with applications to its underlying geometry
This meeting will feature principal contributors in these areas in a celebration of the work of Georgia Benkart. With the same focus and tenacity that Georgia always had, we will strive to provide a conference full of beautiful mathematics, incredible inspiration, and the warmth of Georgia’s welcoming personality to our field and our community.
Updated on Apr 24, 2023 08:41 AM PDT 
Stochastic Quantization
Organizers: Massimiliano Gubinelli (University of Oxford), Martina Hofmanova (Universität Bielefeld), LEAD Hao Shen (University of WisconsinMadison), Lorenzo Zambotti (Université de Paris VI (Pierre et Marie Curie))This summer school will familiarize students with the basic problems of the mathematical theory of Euclidean quantum fields. The lectures will introduce some of its prominent models and analyze them via the so called “stochastic quantization” methods, involving recently developed stochastic and PDE techniques. This is an area which is highly interdisciplinary combining ideas ranging from the theory of partial differential equations, to stochastic analysis, to mathematical physics. Our goal is to bring together students which are maybe familiar with some but not all of these subjects and teach them how to integrate these different tools to solve cuttingedge problems of Euclidean quantum field theory.
Updated on May 30, 2023 11:26 AM PDT 
Connections Workshop: Probability and Statistics of Discrete Structures
Organizers: Christina Goldschmidt (University of Oxford), PoLing Loh (University of Cambridge), Kavita Ramanan (Brown University), Dana Randall (Georgia Institute of Technology), LEAD Nike Sun (Massachusetts Institute of Technology)This twoday workshop will bring together researchers from discrete mathematics, probability theory, theoretical computer science, and statistics to explore topics at their interface. The focus will be on probability and statistics of random discrete structures, as well as their applications, including in computer science and physical systems. The workshop will celebrate academic and gender diversity, bringing together women and men at junior and senior levels of their careers from mathematics, physics, and computer science.
Updated on May 30, 2023 03:32 PM PDT 
Introductory Workshop: Probability and Statistics of Discrete Structures
Organizers: Louigi AddarioBerry (McGill University), LEAD Shankar Bhamidi (University of North Carolina), Dana Randall (Georgia Institute of Technology), Perla Sousi (University of Cambridge), Remco van der Hofstad (Technische Universiteit Eindhoven)Networks, graph driven algorithms, and dynamics on graphs such as epidemics, random walks and centrality measures all play a major role, both in our daily lives as well as many scientific and engineering disciplines. This introductory workshop will bring together experts and junior researchers in combinatorics, probability, and statistics to share a broad vision of major challenges and objectives, with a primary focus on models of random graphs and their limits, network inference, dynamic processes on networks and algorithms and optimization on random structures.
Updated on May 30, 2023 11:38 AM PDT 
Connections Workshop: Extremal Combinatorics
Organizers: Julia Boettcher (London School of Economics and Political Science), Anita Liebenau (University of New South Wales), LEAD Maya Stein (Universidad de Chile)The purpose of this workshop is to bring together promising earlycareer researchers in extremal combinatorics who are women or from underrepresented minorities so that they can meet with, forge connections with, and be inspired by the leading figures in the area. The workshop will include lectures, time for collaborative research, and an informal panel discussion session among female and minority researchers on career issues.
Updated on Apr 04, 2023 08:43 AM PDT 
Introductory Workshop  Graph Theory: Extremal, Probabilistic and Structural
Organizers: LEAD Penny Haxell (University of Waterloo), Michael Krivelevich (Tel Aviv University), Alex Scott (University of Oxford)This workshop will feature leading experts in several major areas of graph theory, including extremal, probabilistic and structural aspects of the field. Introductory lectures will form an important part of the program, providing background and motivation, and aimed at a general mathematical audience. Complementing these, research talks will share exciting recent developments in graph theory.
Updated on Mar 31, 2023 03:48 PM PDT 
Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory
Organizers: Dubi Kelmer (Boston College), LEAD Amir Mohammadi (University of California, San Diego), Hong Wang (University of California, Los Angeles)In recent years techniques from harmonic analysis viz. projection theorems have found striking applications in finitary analysis on homogenous spaces. Such quantitative results have many potential applications to analytic number theory. This workshop will bring together researchers in these areas to further explore these connections.
Updated on May 31, 2023 02:29 PM PDT
Past all workshops

MSRIUP Mathematically Advancing Young Undergraduates Program (MAYUP) [2023 Pilot Program]
Organizers: Duane Cooper (Morehouse College), Shelby Wilson (Morehouse College; Johns Hopkins University Applied Physics Lab)2023 Pilot Program: The goal of MAYUP is to provide students with a glimpse into Linear Algebra; and the ways in which this topic may arise both theoretically and computationally in their future studies. Material will include an introduction to matrices as well as basic matrix operations. We will also provide students with introductory programming skills in Python, including development environment setup and matrix manipulations via code.
Updated on Feb 23, 2023 04:27 PM PST 
Workshop May 12, a Celebration for Women in Mathematics (2023)
Organizers: Ini Adinya (University of Ibadan), Masha Albrecht (Berkeley High School), Romina Arroyo (Universidad Nacional de Cordoba), MariaGrazia Ascenzi (University of California Los Angeles), Mirela Ciperiani (University of Texas, Austin), Donatella Danielli (Arizona State University), Shanna Dobson (University of California, Riverside), Malena Espanol (Arizona State University), Olubunmi FadipeJoseph (University of Ilorin), Anna Fino (Università di Torino), Natalia GarciaFritz (Pontificia Universidad Católica de Chile), Adi Glucksam (Northwestern University), M.E. Hogan (Texas Tech University), KueiNuan Lin (Pennsylvania State University), Zheng Liu (University of California, Santa Barbara), Liangbing Luo (Lehigh University), LEAD Ornella Mattei (San Francisco State University), Julia Plavnik (Indiana University), Palina Salanevich (Universiteit Utrecht), Ramdorai Sujatha (University of British Columbia)The Simons Laufer Mathematical Sciences Institute (SLMath), formerly MSRI, celebrates May 12 with a panel discussion and social event open to all on the topic "Pathways in Mathematics". This is a hybrid event taking place on Zoom and in person at SLMath and satellite institutions.
Updated on May 17, 2023 02:43 PM PDT 
Workshop Degeneracy of Algebraic Points
Organizers: Jennifer Balakrishnan (Boston University), LEAD Mirela Ciperiani (University of Texas, Austin), Philipp Habegger (University of Basel), Wei Ho (Institute for Advanced Study), Hector Pasten (Pontificia Universidad Católica de Chile), Yunqing Tang (University of California, Berkeley), ShouWu Zhang (Princeton University)In recent years, a number of techniques have led to outstanding progress on LangVojta conjectures, such as the Subspace Theorem, padic approaches to finiteness, and modular methods. Similarly, spectacular progress has been achieved on unlikely intersection conjectures thanks to new methods and tools, such as height formulas for special points, connections to model theory, refined counting results, and new theorems of AxShanuel type (bialgebraic geometry). The goal of this workshop is to create the opportunity for these two groups to interact, to share their techniques, to update on the most recent progress, and to attack the outstanding open questions in the field.
Updated on May 15, 2023 09:42 AM PDT 
Workshop MSRI / SLMath 40th Anniversary Symposium
Organizers: Hélène Barcelo (MSRI / Simons Laufer Mathematical Sciences Institute (SLMath)), Charles Fefferman (Princeton University), Dan Freed (University of Texas, Austin), Kristin Lauter (Facebook AI Research (FAIR) North America at Meta), Dusa McDuff (Barnard College), Andrei Okounkov (Columbia University; University of California, Berkeley), Tatiana Toro (MSRI / Simons Laufer Mathematical Sciences Institute (SLMath))In 202223, SLMath (formerly MSRI) celebrates 40 years of serving the mathematical sciences community through our topicfocused programs and workshops, and the general public via our national and global outreach initiatives. Director Tatiana Toro and Deputy Director Hélène Barcelo invite the community to join us for a symposium to reflect upon these four decades of extraordinary activity. This celebration will feature special guest speakers, panel discussions and an evening reception.
This event is free and open to the public. To register, log into MSRI.org or create an account. Funding for attendance is extremely limited. Click below to expand the event description and schedule.
Updated on May 15, 2023 01:23 PM PDT 
Workshop Critical Issues in Mathematics Education 2023: Mentoring for Equity
Organizers: Pamela Harris (University of WisconsinMilwaukee), Abbe Herzig (TPSEMath), LEAD Aris Winger (Georgia Gwinnett College), Michael Young (Carnegie Mellon University)The workshop Critical Issues in Mathematics Education: Mentoring for Equity aims to reach a broad audience of faculty and students in postsecondary mathematical sciences. Participants will learn about the evidence base for effective mentoring, with a focus on culturally responsive mentoring that supports all students and faculty along their mathematical paths. The workshop includes a combination of discussion of research evidence, review and adaptation of practical tools, and explicit training in effective mentoring, including how to bring these tools back to participants’ home institutions. The workshop intertwines objectives of increasing participants’ knowledge of the scholarship on effective mentoring, and engages participants in interactive activities to develop tangible skills as mentors and as mentortrainers. Participants should come with a growth mindset, prepared to reflect on their experiences as mentors and mentees, and actively contribute to activities that build skills for implementing best mentoring practices. This workshop will cultivate local and national mentoring communities that bring effective tools and strategies to mentoring, so that mentees can persist and thrive in research, teaching, education, and throughout their education and careers. One focus will be on addressing the individual mentoring needs of all faculty and students, including those who have been historicallymarginalized in mathematics education and careers.
Updated on Mar 30, 2023 01:00 PM PDT 
Workshop Shimura Varieties and LFunctions
Organizers: Michael Harris (Columbia University), David Loeffler (University of Warwick), Elena Mantovan (California Institute of Technology), Christopher Skinner (Princeton University), Sarah Zerbes (ETH Zürich), LEAD Wei Zhang (Massachusetts Institute of Technology)The topical workshop will be dedicated to Shouwu Zhang, to mark the occasion of his 60th birthday, and to honour his numerous beautiful contributions to the theory of Shimura varieties and special values of Lfunctions. It will highlight cutting edge work on topics such as the construction of Euler systems; relations between special cycles on Shimura varieties and Lfunctions, such as generalized GrossZagier formulas and the Tate conjecture; the construction of Galois representations in cohomology; and related aspects of the theory of automorphic forms.
Updated on Mar 30, 2023 12:40 PM PDT 
Workshop Introductory Workshop: Diophantine Geometry
Organizers: Hector Pasten (Pontificia Universidad Católica de Chile), Yunqing Tang (University of California, Berkeley), LEAD ShouWu Zhang (Princeton University)This will be a hybrid workshop with both inperson and virtual participation.
This workshop will feature expository lectures about current developments in Diophantine geometry. This includes the uniform Mordell—Lang for rational points on curves, the Andre—Oort conjecture for special points on Shimura varieties, and effective results via Chabauty method, and related topics in Arakelov theory, unlikely intersections, arithmetic statistics, arithmetic dynamics, and padic Hodge theory.
Updated on Feb 24, 2023 12:21 PM PST 
Workshop Connections Workshop: Diophantine Geometry
Organizers: Jennifer Balakrishnan (Boston University), LEAD Yunqing Tang (University of California, Berkeley)This will be a hybrid workshop with both inperson and virtual participation.
This workshop will highlight talks on various aspects of Diophantine Geometry. The goal of the workshop is to bring together researchers at different career stages and of various backgrounds in order to establish new collaborations and mentoring relationships. Although we will showcase the research of mathematicians who identify as women or gender minorities, this workshop is open to all.
Updated on Feb 10, 2023 12:45 PM PST 
Workshop Introductory Workshop: Algebraic Cycles, LValues, and Euler Systems
Organizers: Henri Darmon (McGill University), LEAD Ellen Eischen (University of Oregon), Benjamin Howard (Boston College), Elena Mantovan (California Institute of Technology)This will be a hybrid workshop with both inperson and virtual participation.
The Introductory Workshop aims to provide a coherent overview of current research in algebraic cycles, Lvalues, Euler systems, and the many connections between them. This includes the study of special cycles on Shimura varieties and moduli spaces of shtukas, integral representations of Lvalues and the construction of padic Lfunctions, and the construction of Euler systems from special elements in Chow groups or higher Chow groups of Shimura varieties. Workshop lectures will be organized into short lecture series, so as to allow each series to begin with expository lectures on foundational results before moving on to current research. This workshop is held in honor of mathematician Bernadette PerrinRiou.
Updated on Feb 09, 2023 01:40 PM PST 
Workshop Connections Workshop: Algebraic Cycles, LValues, and Euler Systems
Organizers: Henri Darmon (McGill University), Ellen Eischen (University of Oregon), Benjamin Howard (Boston College), LEAD Elena Mantovan (California Institute of Technology)This will be a hybrid workshop with both inperson and virtual participation.
The Connections Workshop features presentations by both leading researchers and promising newcomers whose research has contact with the interrelated topics of algebraic cycles, Lvalues, and Euler systems. The goal is to present a variety of diverse results, so as to forge new connections, foster collaborative projects, and establish mentoring relationships. While emphasis will be placed on the work of women mathematicians, the workshop is open to all researchers. This workshop is held in honor of mathematician Bernadette PerrinRiou.
Updated on Jan 27, 2023 02:45 PM PST 
Workshop [HYBRID WORKSHOP] Floer Homotopical Methods in Low Dimensional and Symplectic Topology
Organizers: LEAD Mohammed Abouzaid (Columbia University), Andrew Blumberg (Columbia University), Jennifer Hom (Georgia Institute of Technology), Emmy Murphy (Northwestern University), Sucharit Sarkar (University of California, Los Angeles)This will be a hybrid workshop with inperson participation only available to members of the semesterlong program and invited guests. Online participation will be open to all who register. Due to limited capacity, mathematicians who have not received an official invitation will not be permitted to enter the institute.
The workshop will focus on the interaction between homotopy theory and symplectic topology and low dimensional topology that is mediated by Floer theory. Among the topics covered are foundational questions, applications to concrete geometric questions, and the relationship with finite dimensional approaches.
Updated on Nov 23, 2022 09:29 AM PST 
Workshop Modern Math Workshop 2022
Organizers: Hélène Barcelo (MSRI / Simons Laufer Mathematical Sciences Institute (SLMath)), Philip Hammer (Institute for Mathematical and Statistical Innovation), Christian Ratsch (University of California, Los Angeles; Institute of Pure and Applied Mathematics (IPAM)), Ulrica Wilson (Morehouse College; Institute for Computational and Experimental Research in Mathematics (ICERM))ALL FUNDING FOR THIS WORKSHOP HAS BEEN ALLOCATED
As part of the Mathematical Sciences Collaborative Diversity Initiatives, the six NSFfunded U.S. mathematics institutes will host their annual SACNAS preconference event, the 2022 Modern Math Workshop (MMW). The Modern Math Workshop encourages undergraduates from underrepresented groups to pursue careers in the mathematical sciences, and builds research and networking opportunities among undergraduates, graduate students and recent PhDs.
Updated on Nov 29, 2022 08:49 AM PST 
Workshop [HYBRID WORKSHOP] New FourDimensional Gauge Theories
Organizers: Andriy Haydys (Université Libre de Bruxelles), Lotte Hollands (HeriotWatt University, Riccarton Campus), LEAD ElenyNicoleta Ionel (Stanford University), Richard Thomas (Imperial College, London), Thomas Walpuski (HumboldtUniversität)This will be a hybrid workshop with inperson participation only available to members of the semesterlong program and invited guests. Online participation will be open to all who register. Due to limited capacity, mathematicians who have not received an official invitation will not be permitted to enter the institute.
This workshop will bring together researchers working on new fourdimensional gauge theories from the perspectives of differential geometry, algebraic geometry, and physics. Over the last 25 years, physicists have made tantalizing conjectures relating the Vafa–Witten equation to modular forms and the Kapustin–Witten and Haydys–Witten equations to knot theory and the geometric Langlands programme. The analytical challenges in the way of establishing these predictions are now being pursued vigorously. More recently, algebraic geometers have had enormous success in confirming and refining Vafa–Witten's predictions for projective surfaces. The workshop will serve as a platform for reporting on recent progress and exchanging ideas in all of these areas, with the aim of strengthening existing and fostering new interactions.
Updated on Nov 01, 2022 09:11 AM PDT 
Workshop [HYBRID WORKSHOP] Introductory Workshop: Floer Homotopy Theory
Organizers: Sheel Ganatra (University of Southern California), Tyler Lawson (University of Minnesota Twin Cities), LEAD Robert Lipshitz (University of Oregon), Nathalie Wahl (University of Copenhagen)This will be a hybrid workshop with inperson participation by members of the semesterlong program and speakers. Online participation will be open to all who register.
Over the last decade, there has been a wealth of new applications of homotopytheoretic techniques to Floer homology in lowdimensional topology and symplectic geometry, including Manolescu’s disproof of the highdimensional Triangulation Conjecture and AbouzaidBlumberg’s proof of the Arnol’d Conjecture in finite characteristic. Conversely, results in Floer theory and categorification have opened new directions of research in homotopy theory, from string topology to SLie algebras. The goal of this workshop is to introduce researchers in Floer theory to modern techniques and questions in homotopy theory and, conversely, introduce researchers in homotopy theory to ideas underlying Floer theory and its applications.
Updated on Sep 15, 2022 10:52 AM PDT 
Workshop [HYBRID WORKSHOP] Connections Workshop: Floer Homotopy Theory
Organizers: Teena Gerhardt (Michigan State University), LEAD Kristen Hendricks (Rutgers University), Ailsa Keating (University of Cambridge)This will be a hybrid workshop with inperson participation by members of the semesterlong program, speakers and a limited number of invited participants. Online participation will be open to all who register.
This workshop will feature talks by experts in Floer theory (and its applications to lowdimensional topology) and homotopy theory. It will include two expository lectures aimed at graduate students and other researchers who are new to the field, as well as a sequence of research talks and a contributed talks session. There will also be a panel discussion focusing on professional development. The majority of the speakers and panelists for this event will be women and gender minorities, and members of these groups and of other underrepresented groups are especially encouraged to attend. This workshop is open to all mathematicians.
Updated on Sep 15, 2022 08:32 AM PDT 
Workshop [HYBRID WORKSHOP] Introductory Workshop: Analytic and Geometric Aspects of Gauge Theory
Organizers: LEAD Aleksander Doan (University of Cambridge; University College London), Lorenzo Foscolo (University College London), Laura Fredrickson (University of Oregon), Ruxandra Moraru (University of Waterloo), Michael Singer (University College London)This will be a hybrid workshop with inperson participation by members of the semesterlong program and speakers. Online participation will be open to all who register.
The workshop will highlight the utility and impact of gauge theory in other areas of math. Minicourses will cover the historical utility and impact of gauge theory in areas including lowdimensional topology, algebraic geometry, and the analysis of PDE; additional talks will cover more recent directions.
Updated on Sep 01, 2022 11:06 AM PDT 
Workshop [HYBRID WORKSHOP] Connections Workshop: Analytic and Geometric Aspects of Gauge Theory
Organizers: Lara Anderson (Virginia Polytechnic Institute and State University), LEAD Laura Schaposnik (University of Illinois at Chicago)This will be a hybrid workshop with inperson participation by members of the semesterlong program, speakers and a limited number of invited participants. Online participation will be open to all who register.
This twoday workshop will consist of various talks given by prominent female mathematicians on topics of analytic and geometric aspects of gauge theory. These will be appropriate for graduate students, postdocs, and researchers in areas related to the program. The meeting aims to support young researchers working in analytic and geometric aspects of gauge theory by facilitating mentoring from senior colleagues and helping towards the development of crucial professional skills. The format will include mentoring pairings, panel discussions, and Q&A sessions as well as the opportunity for informal discussions and connections.
Updated on Sep 01, 2022 11:02 AM PDT 
Summer Graduate School Sums of Squares Method in Geometry, Combinatorics and Optimization (BIRS)
Organizers: LEAD Grigoriy Blekherman (Georgia Institute of Technology), Annie Raymond (University of Massachusetts Amherst), Cynthia Vinzant (University of Washington)The study of nonnegative polynomials and sums of squares is a classical area of real algebraic geometry dating back to Hilbert’s 17th problem. It also has rich connections to real analysis via duality and moment problems. In the last 15 years, sums of squares relaxations have found a wide array of applications from very applied areas (e.g., robotics, computer vision, and machine learning) to theoretical applications (e.g., extremal combinatorics, theoretical computer science). Also, an intimate connection between sums of squares and classical algebraic geometry has been found. Work in this area requires a blend of ideas and techniques from algebraic geometry, convex geometry and representation theory. After an introduction to nonnegative polynomials, sums of squares and semidefinite optimization, we will focus on the following three topics:
 Sums of squares on real varieties (sets defined by real polynomial equations) and connections with classical algebraic geometry.
 Sums of squares method for proving graph density inequalities in extremal combinatorics. Here addition and multiplication take place in the gluing algebra of partially labelled graphs.
 Sums of squares relaxations for convex hulls of real varieties and thetabodies with applications in optimization.
The summer school will give a selfcontained introduction aimed at beginning graduate students, and introduce participants to the latest developments. In addition to attending the lectures, students will meet in intensive problem and discussion sessions that will explore and extend the topics developed in the lectures.
Updated on Apr 07, 2022 02:41 PM PDT 
Summer Graduate School Tropical Geometry
Organizers: Renzo Cavalieri (Colorado State University), Hannah Markwig (EberhardKarlsUniversität Tübingen), Dhruv Ranganathan (University of Cambridge)Enumerative geometry and the theory of moduli spaces of curves are two cornerstones of modern algebraic geometry; the two subjects have had a significant influence on each other. In the last 15 years, discrete and combinatorial methods, systematized within tropical geometry, have begun to provide new avenues of access into these two subjects. The goal of this summer school is to give students crash courses in tropical and logarithmic geometry, with a particular focus on the applications in enumerative geometry and moduli theory. The school will consist of three courses of seven lectures each:
 Enumeration of tropical curves/ by Hannah Markwig
 Curve counting in tropical and algebraic geometry by Renzo Cavalieri
 Logarithmic geometry and stable map/s by Dhruv Ranganathan
Updated on Aug 12, 2022 03:03 PM PDT 
Summer Graduate School Mathematics of Machine Learning (INdAM and Courant Institute)
Organizers: Sebastien Bubeck (Microsoft Research)This school is offered in partnership with Istituto Nazionale di Alta Matematica (INdAM) and the Courant Institute of Mathematical Sciences.
Learning theory is a rich field at the intersection of statistics, probability, computer science, and optimization. Over the last decades the statistical learning approach has been successfully applied to many problems of great interest, such as bioinformatics, computer vision, speech processing, robotics, and information retrieval. These impressive successes relied crucially on the mathematical foundation of statistical learning.
Recently, deep neural networks have demonstrated stunning empirical results across many applications like vision, natural language processing, and reinforcement learning. The field is now booming with new mathematical problems, and in particular, the challenge of providing theoretical foundations for deep learning techniques is still largely open. On the other hand, learning theory already has a rich history, with many beautiful connections to various areas of mathematics (e.g., probability theory, high dimensional geometry, game theory). The purpose of the summer school is to introduce graduate students (and advanced undergraduates) to these foundational results, as well as to expose them to the new and exciting modern challenges that arise in deep learning and reinforcement learning.
Updated on Aug 12, 2022 11:42 AM PDT 
Summer Graduate School Topological Methods for the Discrete Mathematician
Organizers: Pavle Blagojevic (Freie Universität Berlin), Florian Frick (Carnegie Mellon University), Shira Zerbib (Iowa State University)Recently, progress in the field of topological methods in discrete mathematics has been rapid and has generated a lot of activity with the resolution of major open problems, the emergence of new lines of inquiry, and the development of new tools. These exciting new developments have not been digested into a textbook treatment. The two main goals of this school are to:
 Provide graduate students with a thorough introduction to novel topological techniques and to a handful of their applications in the fields of combinatorics and discrete geometry with short glimpses into mathematical mechanics and algorithm complexity.
 Expose students to current research, and guide them in research on open problems in discrete mathematics using modern topological tools.
The summer school will lead participants from appealing, simpletostate problems at confluence of combinatorics, geometry, and topology to sophisticated topological methods that are required for their resolution. In recent years topological methods have found numerous novel applications in mathematics and beyond, such as in data science, machine learning, economics, the social sciences, and biology. The problems we will discuss are particularly wellsuited to rapidly put students in a position to approach related research questions.
Updated on Feb 14, 2023 01:39 PM PST 
Summer Graduate School MSRINCTS Joint Summer School: Recent Topics in Well Posedness
Organizers: Jungkai Chen (National Taiwan University), Mimi Dai (University of Illinois at Chicago), Yoshikazu Giga (University of Tokyo), Tsuyoshi Yoneda (Hitotsubashi University)This school is offered in partnership with the National Center for Theoretical Sciences.
The purpose of the workshop is to introduce graduate students to fundamental results on the NavierStokes and the Euler equations, with special emphasis on the solvability of its initial value problem with rough initial data as well as the large time behavior of a solution. These topics have long research history. However, recent studies clarify the problems from a broad point of view, not only from analysis but also from detailed studies of orbit of the flow.
Updated on Aug 12, 2022 11:40 AM PDT 
Summer Graduate School 2022 Joint PCMI School: Number Theory Informed by Computation
Organizers: Jennifer Balakrishnan (Boston University), Rafe Mazzeo (Stanford University), Bjorn Poonen (Massachusetts Institute of Technology), Akshay Venkatesh (Institute for Advanced Study)The PCMI graduate summer school program in 2022 will consist of a sequence of 11 minicourses. The lecturers and topics for these minicourses are listed below. Each minicourse is accompanied by a problem session. The topics are arranged so that there is good material and opportunities for learning both for less experienced students as well as more advanced students. Beyond their attendance in these minicourse sessions, all graduate participants will be able to take part in the substantial other benefits of a PCMI session. This includes the opportunity to interact with the researchers in residence and take part in the research seminar component of PCMI. Many graduate students also interact in significant ways with the undergraduate cohort,,the undergraduate faculty cohort, and may also participate in the many pedagogically focused activities which form part of the K12 Teacher Leadership Program and the Workshop for Equity in Mathematics Education. PCMI includes numerous crossprogram activities to help members from all these groups interact with one another.
Updated on Feb 02, 2022 03:52 PM PST 
Summer Graduate School Metric Geometry and Geometric Analysis (Oxford, United Kingdom)
Organizers: LEAD Cornelia Drutu (University of Oxford), Panos Papazoglou (University of Oxford)The purpose of the summer school is to introduce graduate students to key mainstream directions in the recent development of geometry, which sprang from Riemannian Geometry in an attempt to use its methods in various contexts of nonsmooth geometry. This concerns recent developments in metric generalizations of the theory of nonpositively curved spaces and discretizations of methods in geometry, geometric measure theory and global analysis. The metric geometry perspective gave rise to new results and problems in Riemannian Geometry as well.
All these themes are intertwined and have developed either together or greatly influencing one another. The summer school will introduce some of the latest developments and the remaining open problems in these very modern areas, and will emphasize their synergy.
Updated on Feb 14, 2022 12:29 PM PST 
Summer Graduate School Séminaire de Mathématiques Supérieures 2022: Floer Homotopy Theory
Organizers: Kristen Hendricks (Rutgers University), Ailsa Keating (University of Cambridge), Robert Lipshitz (University of Oregon), Liam Watson (University of British Columbia), Ben Williams (University of British Columbia)The idea of stable homotopy refinements of Floer homology was first introduced by Cohen, Jones, and Segal in a 1994 paper, but it was only in the last decade that this idea became a key tool in lowdimensional and symplectic topology. The two crowning achievements of these techniques so far are Manolescu's use of his Pin(2)equivariant SeibergWitten Floer homotopy type to resolve the Triangulation Conjecture and AbouzaidBlumberg's use of Floer homotopy theory and Morava Ktheory to prove the general Arnol'd Conjecture in finite characteristic. During this period, a range of related techniques, included under the umbrella of Floer homotopy theory, have also led to important advances, including involutive Heegaard Floer homology, Smith theory for Lagrangian intersections, homotopy coherence, and further connections between string topology and Floer theory. These in turn have sparked developments in algebraic topology, ranging from developments on Lie algebras in derived algebraic geometry to new computations of equivariant Mahowald invariants to new results on topological Hochschild homology.
The goal of the summer school is to provide participants the tools in symplectic geometry and stable homotopy theory required to work on Floer homotopy theory. Students will come away with a basic understanding of some of the key techniques, questions, and challenges in both of these fields. The summer school may be particularly valuable for participants with a solid understanding of one of the two fields who want to learn more about the other and the connections between them.Updated on May 27, 2022 09:41 AM PDT 
Summer Graduate School Random Graphs
Organizers: Louigi AddarioBerry (McGill University), Remco van der Hofstad (Technische Universiteit Eindhoven)The topic of random graphs is at the forefront of applied probability, and it is one of the central topics in multidisciplinary science where mathematical ideas are used to model and understand the real world. At the same time, random graphs pose challenging mathematical problems that have attracted the attention from probabilists and combinatorialists since the 1960, with the pioneering work of Erdös and Rényi. Around the turn of the millennium, very large data sets started to become available, and several applied disciplines started to realize that many realworld networks, even though they are from various different origins, share many fascinating features. In particular, many of such networks are small worlds, meaning that graph distances in them are typically quite small, and they are scalefree, in the sense that there are enormous differences in the number of connections that their elements make. In particular, such networks are quite different from the classical random graph models, such as proposed by Erdös and Rényi.
Updated on Jul 14, 2022 09:37 AM PDT 
Summer Graduate School Algebraic Theory of Differential and Difference Equations, Model Theory and their Applications
Organizers: LEAD Alexey Ovchinnikov (Queens College, CUNY), Anand Pillay (University of Notre Dame), Thomas Scanlon (University of California, Berkeley)The purpose of the summer school will be to introduce graduate students to effective methods in algebraic theories of differential and difference equations with emphasis on their modeltheoretic foundations and to demonstrate recent applications of these techniques to studying dynamic models arising in sciences. While these topics comprise a coherent and rich subject, they appear in graduate coursework in at best a piecemeal way, and then only as components of classes for other aims. With this Summer Graduate School, students will learn both the theoretical basis of differential and difference algebra and how to use these methods to solve practical problems. Beyond the lectures, the graduate students will meet daily in problem sessions and will participate in oneonone mentoring sessions with the lecturers and organizers.
Updated on Jan 11, 2023 02:38 PM PST 
Summer Graduate School New Directions in Representation Theory (AMSI and U. of Hawaii, Hilo)
Organizers: Angela Coughlin (Australian Mathematical Sciences Institute), Joseph Grotowski (University of Queensland), Tim Marchant (Australian Mathematical Sciences Institute), Ole Warnaar (University of Queensland), Geordie Williamson (University of Sydney)This school is offered in partnership with the Australian Mathematical Sciences Institute and the University of Hawaii, Hilo.
Representation Theory has undergone a revolution in recent years, with the development of what is now known as higher representation theory. In particular, the notion of categorification has led to the resolution of many problems previously considered to be intractable.
The school will begin by providing students with a brief but thorough introduction to what could be termed the “bread and butter of modern representation theory”, i.e., compact Lie groups and their representation theory; character theory; structure theory of algebraic groups.
We will then continue on to a number of more specialized topics. The final mix will depend on discussions with the prospective lecturers, but we envisage such topics as:
• modular representation theory of finite groups (blocks, defect groups, Broué’s conjecture);
• perverse sheaves and the geometric Satake correspondence;
• the representation theory of real Lie groups.
Updated on Aug 12, 2022 11:38 AM PDT 
Summer Graduate School Geometric Flows (Crete, Greece)
Organizers: Nicholas Alikakos (National and Kapodistrian University of Athens (University of Athens)), Panagiota Daskalopoulos (Columbia University)[The image on this vase from Minoan Crete, dated on 15002000 BC, resembles an ancient solution to the Curve shortening flow  one of the most basic geometric flows. The vase is at Heraklion Archaeological Museum]
This summer graduate school is a collaboration between MSRI and the FORTHIACM Institute in Crete. The purpose of the school is to introduce graduate students to some of the most important geometric evolution equations. Information about the location of the summer school can be found here.
This is an area of geometric analysis that lies at the interface of differential geometry and partial differential equations. The lectures will begin with an introduction to nonlinear diffusion equations and continue with classical results on the Ricci Flow, the Mean curvature flow and other fully nonlinear extrinsic flows such as the Gauss curvature flow. The lectures will also include geometric applications such as isoperimetric inequalities, topological applications such as the Poincaré onjecture, as well as recent important developments related to the study of singularities and ancient solutions.
Updated on Sep 30, 2022 12:18 PM PDT 
MSRIUP MSRIUP 2022: Algebraic Methods in Mathematical Biology
Organizers: LEAD Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Mercedes Franco (Queensborough Community College (CUNY)), Rebecca Garcia (Sam Houston State University), Candice Price (Smith College), Anne Shiu (Texas A & M University; Texas A&M University)The MSRIUP summer program is designed to serve a diverse group of undergraduate students who would like to conduct research in the mathematical sciences.
In 2022, MSRIUP will focus on Algebraic Methods in Mathematical Biology. The research program will be led by Dr. Anne Shiu, Associate Professor of Mathematics at Texas A&M University.
Updated on Mar 17, 2023 02:38 PM PDT