Programmatic Workshops
Workshops related to MSRI's Scientific Programs fall into one of the following three categories:
Introductory Workshop: The idea of these workshops is to set the stage and provide the context for the 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. When done well, these 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 for Women: This is a twoday workshop held immediately preceding the week of the Introductory Workshop. While different programs have approached these workshops in diverse ways, one of the principal objectives, strongly supported by the SAC and HRAC, is to provide an enhanced opportunity for female researchers to interact with other women with similar research interests. There is considerable flexibility for the organization of this twoday event, but MSRI does require good coordination between the Connections and Introductory workshop organizers so that as many female researchers as possible are supported to stay on for the Introductory Workshop. It is therefore customary to have one person be simultaneously on the organizing committees for both of these workshops. As is the case for all MSRI workshops, registration to attend Connections workshop lectures is open to all interested persons.
Topical Workshop: Also directed toward the mathematical community at large, these 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.
Resources for Workshop Attendees
Mother's Room: MSRI is pleased to be able to offer a private room for nursing mothers.
Childcare Grants for Workshop Participants: As part of our dedication to supporting participation from all researchers in mathematics, we are excited to have generous donations from private funders to support child care grants to help enable participation in any of our workshops for mothers of young children. Recipients of these funds (available to women researchers with children 14 years old or under) can decide the best arrangement for themselves (e.g. support for companion caregivers or hired nannies here at Berkeley or to cover the costs of such help back at home) to ensure that their families are well cared for while they are able to focus on the Workshop activities.
Please note that because these funds are taxable, they are available only to U.S. Citizens and Permanent Residents. All recipients will be required to submit a completed W9 upon their arrival at MSRI.
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
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

Introductory Workshop: Holomorphic Differentials in Mathematics and Physics
Organizers: LEAD Jayadev Athreya (University of Washington), Sergei Gukov (California Institute of Technology), Andrew Neitzke (University of Texas, Austin), Anna Wienhard (RuprechtKarlsUniversität Heidelberg)Holomorphic differentials on Riemann surfaces have long held a distinguished place in low dimensional geometry, dynamics and representation theory. Recently it has become apparent that they constitute a common feature of several other highly active areas of current research in mathematics and also at the interface with physics. In this introductory workshop, we will bring junior and senior researchers from this diverse range of subjects together in order to explore common themes and unexpected connections.
Updated on Aug 22, 2019 10:50 AM PDT
Upcoming all workshops

Connections for Women: Microlocal Analysis
Organizers: Tanya Christiansen (University of Missouri), LEAD Raluca Felea (Rochester Institute of Technology)This workshop will provide a gentle introduction to a selection of applications of microlocal analysis. These may be drawn from among geometric microlocal analysis, inverse problems, scattering theory, hyperbolic dynamical systems, quantum chaos and relativity. The workshop will also provide a panel discussion, a poster session and an introduction/research session.
This workshop is open to all mathematicians.
Updated on Aug 01, 2019 04:19 PM PDT 
Introductory Workshop: Microlocal Analysis
Organizers: Pierre Albin (University of Illinois at UrbanaChampaign), LEAD Raluca Felea (Rochester Institute of Technology), Andras Vasy (Stanford University)Microlocal analysis provides tools for the precise analysis of problems arising in areas such as partial differential equations or integral geometry by working in the phase space, i.e. the cotangent bundle, of the underlying manifold. It has origins in areas such as quantum mechanics and hyperbolic equations, in addition to the development of a general PDE theory, and has expanded tremendously over the last 40 years to the analysis of singular spaces, integral geometry, nonlinear equations, scattering theory… This workshop will provide a comprehensive introduction to the field for postdocs and graduate students as well as specialists outside the field, building up from standard facts about the Fourier transform, distributions and basic functional analysis.
Updated on Aug 16, 2019 09:49 AM PDT 
Neural Theories of Cognition
Organizers: David Eisenbud (MSRI  Mathematical Sciences Research Institute), Adrienne Fairhall (University of Washington), John Maunsell (University of Chicago), Bruno Olshausen (University of California, Berkeley)The objective of the meeting is to bring theorists and theoreticallymotivated experimentalists together to discuss promising theoretical frameworks for understanding cognitive processes and how these may be brought to bear on interpreting neural data or formulating new experiments. We hope that this meeting will be a chance to discuss future goals for theory in neuroscience: what are missing areas and emerging approaches that might help the field to make real progress in developing theories of brain function.
Updated on Jul 26, 2019 01:00 PM PDT 
Recent developments in microlocal analysis
Organizers: LEAD Pierre Albin (University of Illinois at UrbanaChampaign), Nalini Anantharaman (Université de Strasbourg), Colin Guillarmou (Université de Paris XI (ParisSud))Microlocal analysis provides tools for the precise analysis of problems arising in areas such as partial differential equations or integral geometry by working in the phase space, i.e. the cotangent bundle, of the underlying manifold. It has origins in areas such as quantum mechanics and hyperbolic equations, in addition to the development of a general PDE theory, and has expanded tremendously over the last 40 years to the analysis of singular spaces, integral geometry, nonlinear equations, scattering theory, hyperbolic dynamical systems, probability… As this description shows microlocal analysis has become a very broad area. Due to its breadth, it is a challenge for researchers to be aware of what is happening in other parts of the field, and the impact this may have in their own research area. The purpose of this workshop is thus to bring together researchers from different parts of microlocal analysis and its applications to facilitate the transfer of new ideas.
Updated on May 08, 2018 03:21 PM PDT 
Modern Math Workshop 2019
Organizers: Sudipta Dasmohapatra (SAMSI  Statistical and Applied Mathematical Sciences Institute), Christian Ratsch (University of California, Los Angeles; Institute of Pure and Applied Mathematics (IPAM)), Michael Singer (MSRI  Mathematical Sciences Research Institute), Ulrica Wilson (Morehouse College; Institute for Computational and Experimental Research in Mathematics (ICERM))As part of the Mathematical Sciences Collaborative Diversity Initiatives, six mathematics institutes are pleased to host their annual SACNAS preconference event, the 2019 Modern Math Workshop (MMW). The Modern Math Workshop is intended to encourage minority undergraduates to pursue careers in the mathematical sciences and to assist undergraduates, graduate students and recent PhDs in building their research networks.
Updated on May 16, 2019 05:33 PM PDT 
Holomorphic Differentials in Mathematics and Physics
Organizers: LEAD Jayadev Athreya (University of Washington), Steven Bradlow (University of Illinois at UrbanaChampaign), Sergei Gukov (California Institute of Technology), Andrew Neitzke (University of Texas, Austin), Laura Schaposnik (University of Illinois at Chicago), Gabriela WeitzeSchmithuesen (Universität des Saarlandes), Anton Zorich (Institut de Mathematiques de Jussieu)Holomorphic differentials on Riemann surfaces have long held a distinguished place in low dimensional geometry, dynamics and representation theory. Recently it has become apparent that they constitute a common feature of several other highly active areas of current research in mathematics and also at the interface with physics. In some cases the areas themselves (such as stability conditions on Fukayatype categories, links to quantum integrable systems, or the physically derived construction of socalled spectral networks) are new, while in others the novelty lies more in the role of the holomorphic differentials (for example in the study of billiards in polygons, special  Hitchin or higher Teichmuller  components of representation varieties, asymptotic properties of Higgs bundle moduli spaces, or in new interactions with algebraic geometry).
It is remarkable how widely scattered are the motivating questions in these areas, and how diverse are the backgrounds of the researchers pursuing them. Bringing together experts in this wide variety of fields to explore common interests and discover unexpected connections is the main goal of our program. Our workshop will be of interest to those working in many different fields, including lowdimensional dynamical systems (via the connection to billiards); differential geometry (Higgs bundles and related moduli spaces); and different types of theoretical physics (electron transport and supersymmetric quantum field theory).
Updated on May 14, 2018 02:00 PM PDT 
Symposium in Honor of Julia Robinson’s 100th Birthday
Organizers: Hélène Barcelo (MSRI  Mathematical Sciences Research Institute), Thomas Scanlon (University of California, Berkeley), Carol Wood (Wesleyan University)A Symposium on the occasion of Julia Robinson’s 100th birthday will be held on Monday December 9, 2019 at MSRI. Julia Robinson (19191985) was a leading mathematical logician of the twentieth century, and notably a first in many ways, including the first woman president of the American Mathematical Society and the first woman mathematician elected to membership in the National Academy of Sciences. Her most famous work, together with Martin Davis and Hilary Putnam, led to Yuri Matiyasevich's solution in the negative of Hilbert’s Tenth Problem, showing that there is no general algorithmic solution for Diophantine equations. She contributed in other topics as well. Her 1948 thesis linked the undecidability of the field of rational numbers to Godel’s proof of undecidability of the ring of integers. Confirmed participants in this daylong celebration of her work and of current mathematics insprired by her research include: Lenore Blum, who will give a public lecture, Lou van den Dries, Martin Davis, Kirsten Eisentrager, and Yuri Matiyasevich.
Updated on Aug 14, 2019 12:48 PM PDT 
Connections for Women: Quantum Symmetries
Organizers: Emily Peters (Loyola University), LEAD Chelsea Walton (University of Illinois at UrbanaChampaign)This workshop will feature several talks by experts, along with numerous 5minute presentations by junior mathematicians, on topics related to Quantum Symmetry. Such topics will include tensor categories, subfactors, Hopf algebras, topological quantum field theory and more. There will also be a panel discussion 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 Aug 01, 2019 04:19 PM PDT 
Introductory Workshop: Quantum Symmetries
Organizers: Vaughan Jones (Vanderbilt University), Victor Ostrik (University of Oregon), Emily Peters (Loyola University), LEAD Noah Snyder (Indiana University)This workshop will consist of introductory minicourses on key topics in Quantum Symmetry: fusion categories, modular tensor categories, Hopf algebras, subfactors and planar algebras, topological field theories, conformal nets, and topological phases of matter. These minicourses will be introductory and are aimed at giving semester participants exposure to the main ideas of subfields other than their own.
Updated on Apr 09, 2018 02:20 PM PDT 
Connections for Women: Higher Categories and Categorification
Organizers: Emily Riehl (Johns Hopkins University), LEAD Marcy Robertson (University of Melbourne)This twoday workshop will survey notable developments in the foundations and applications of higher category theory. It will consist of two minicourses given by emerging female leaders in the subject: Claudia Scheimbauer and Nathalie Wahl. This will be paired with a problem sessions lead by selected "TA's", themselves experts in higher structures. Each lecture series will be tailored to a diverse audience, accessible to graduate students and nonexpert researchers with some background in homological algebra.
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 Aug 01, 2019 04:20 PM PDT 
Introductory Workshop: Higher Categories and Categorification
Organizers: LEAD David Ayala (Montana State University), Emily Riehl (Johns Hopkins University), Christopher SchommerPries (University of Notre Dame), Peter Teichner (MaxPlanckInstitut für Mathematik)This workshop will survey notable developments and applications of higher category theory; it will be a venue for endusers to share their vision of how to apply the theory, as well as developers to share technical advancements. It will consist of 6 series of 3 lectures, each given by instrumental endusers & developers of higher category theory, together with a few questionanswer sessions. Each lecture series will be tailored to a diverse audience, accessible to graduate students and nonexpert researchers with some background in homological also algebra. The content of these lecture series will concern the following topics.
 Ktheory: categorification, noncommutative motives, trace methods;
 TQFT: functorial field theories, factorization homology.
 Parametrized higher category theory: stratifications, equivariant homotopy theory, operads, deformation theory and Koszul duality.
 Synthetic higher category theory: modelindependent characterizations, cosmoi.
Updated on Sep 14, 2018 02:08 PM PDT 
Critical Issues in Mathematics Education 2020: Today’s Mathematics, Social Justice, and Implications for Schools
Organizers: Michael Driskill (Math for America ), LEAD Katherine Stevenson (California State University, Northridge)Sophisticated computational and quantitative techniques drive important decisionmaking in modern society. Such methods and algorithms are meant to improve the efficiency with which we work and the ways in which we live. An understanding the mathematical underpinnings of these techniques can be used either to disrupt or to purpetuate inequities, and thus such knowledge constitutes power in the modern world. How does this powerful knowledge get used for the common good and get passed on to our children equitably? What does it imply about the kinds of mathematical skills, practices, and dispositions students should learn in schools, colleges, and universities?
Updated on Aug 14, 2019 12:29 PM PDT 
Tensor categories and topological quantum field theories
Organizers: Scott Morrison (Australian National University), Eric Rowell (Texas A & M University), LEAD Claudia Scheimbauer (Norwegian University of Science and Technology (NTNU)), Christopher SchommerPries (University of Notre Dame)The workshop will concern the latest developments in the mathematical study of quantum field theories. The focus will be on the interplay among topics such as higher category theory, as illustrated by the cobordism hypothesis, conformal field theory, tensor categories describing the quantum symmetries, and the relation to topological phases of matter.
Updated on Jul 03, 2018 04:02 PM PDT 
(∞, n)categories,factorization homology, and algebraic Ktheory
Organizers: LEAD Clark Barwick (University of Edinburgh), David Gepner (University of Melbourne), David Nadler (University of California, Berkeley), Marcy Robertson (University of Melbourne)This workshop will focus on recent developments in factorization homology, parametrized homotopy theory, and algebraic Ktheory. These seemingly disparate topics are unified by a common methodology, which leverages universal properties and unforeseen descent by way of higher category theory. Furthermore, they enjoy powerful and complementary roles in application to the cyclotomic trace. This workshop will be a venue for experts in these areas to present new results, make substantive connections across fields, and suggest and contextualize outstanding questions and problems. It will consist of 9 speakers, each delivering a 1hour morning talk and a 1hour afternoon talk, in addition to a session reserved for drawing attention to an assortment of outstanding problems.
Updated on Jun 25, 2018 10:56 AM PDT 
Hot Topics: Optimal transport and applications to machine learning and statistics
Organizers: Luigi Ambrosio (Scuola Normale Superiore), Francis Bach (École Normale Supérieure), LEAD Katy Craig (University of California, Santa Barbara), CarolaBibiane Schönlieb (University of Cambridge), Stefano Soatto (University of California, Los Angeles)The goal of the workshop is to explore the many emerging connections between the theory of Optimal Transport and models and algorithms currently used in the Machine Learning community. In particular, the use of Wasserstein metrics and the relation between discrete models and their continuous counterparts will be presented and discussed.
Updated on Aug 09, 2019 12:06 PM PDT 
Combinatorial and DGAlgebra Techniques for Free Resolutions (Tianjin, China)
Organizers: Chengming Bai (Chern Institute of Mathematics), LEAD Dave Bayer (Barnard College), Claudia Miller (Syracuse University)The two topics, combinatorial theory of free resolutions and differential graded algebra techniques in homological algebra, each have a long and rich history in commutative algebra and its applications to algebraic geometry. Free resolutions are at the center of much of the study in the field and these two approaches give powerful tools for their study and their application to other problems. Neither of these topics is generally covered in graduate courses. Furthermore, recent developments have exhibited exciting interplay between the two subjects. The purpose of the school is to introduce the graduate students to these subjects and these new developments. The school will consist of two lectures each day and carefully planned problem sessions designed to reinforce the foundational material and to give them a chance to experiment with problems involving the interplay between the two subjects.
Updated on Jul 26, 2019 03:43 PM PDT 
Geometric Flows (Athens, 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]
The purpose of the workshop is to introduce graduate students to some of the most important geometric evolution equations.
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 Aug 02, 2019 12:19 PM PDT 
Algebraic Theory of Differential and Difference Equations, Model Theory and their Applications
Organizers: LEAD Alexey Ovchinnikov (City University of New York (CUNY)), Anand Pillay (University of Notre Dame), Gleb Pogudin (New York University, Courant Institute), Thomas Scanlon (University of California, Berkeley), Michael Wibmer (University of Notre Dame)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 Jul 26, 2019 03:42 PM PDT 
New Directions in Representation Theory (AMSI, Brisbane, Australia)
Organizers: Tim Brown (Australian Mathematical Sciences Institute), Joseph Grotowski (University of Queensland), Chloe Pearse (Australian Mathematical Sciences Institute), Jacqui Ramagge (University of Sydney), Ole Warnaar (University of Queensland), Geordie Williamson (University of Sydney)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 08, 2019 09:36 AM PDT 
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 26, 2019 03:40 PM PDT 
Séminaire de Mathématiques Supérieures 2020: Discrete Probability, Physics and Algorithms (Montréal, Canada)
Organizers: Gerard Ben Arous (New York University, Courant Institute), LEAD Alexander Fribergh (University of Montreal), Lea Popovic (Concordia University)Proofs are at the foundations of mathematics. Viewed through the lens of theoretical computer science, verifying the correctness of a mathematical proof is a fundamentalÂ 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.
Updated on Aug 14, 2019 02:24 PM PDT 
Algebraic Curves (Hainan, China)
Organizers: David Eisenbud (MSRI  Mathematical Sciences Research Institute), Joseph Harris (Harvard University)[Image: The simplest interesting case of linkage (liaison) of curves in projective 3space. We see two quadric surfaces, one of which is a cone, meeting in the union of a line (vertical in the illustration) and a twisted cubic (snaking up from the bottom left to the upper right, tangent to the line at the origin.]
The theory of algebraic curves, arguably the oldest branch of algebraic geometry, has seen major developments in recent years, for example in the study of syzygies, and around questions about moduli spaces and Hilbert schemes of curves. The theory is rich in research activity and unsolved problems. There is an encyclopedic work by Arbarello, Cornalba, Griffiths and Harris, but there is no modern text that could be used as a textbook and that goes beyond the basics of the theory. We have embarked on a project to write a book at roughly the level of the wonderful book on complex algebraic surfaces by Arnaud Beauville. The intent can be seen from a list of some major topics it will treat:
 Linear series and BrillNoether theory
 Personalities: curves in projective space with low genus and degree
 Overview of moduli and Jacobians
 Hilbert schemes
 Syzygies and linkage
The school will have two series of lectures, one by Harris and one by Eisenbud. Harris’ lectures will focus on the more geometric side of the theory, including BrillNoether theory, families of curves and Jacobians; while Eisenbud’s lectures will focus on the more algebraic side of the theory, including properties of the homogeneous coordinate rings of curves (CohenMacaulay, Gorenstein, free resolutions, scrolls, ...) Both lecturers will rely on chapters from the forthcoming book, which should be finished in large part by the time of the school. In addition, some of Eisenbud’s lectures will treat the use of Macaulay2 to investigate the projective embeddings of curves.
Updated on Aug 14, 2019 03:45 PM PDT 
Foundations and Frontiers of Probabilistic Proofs (Zurich, Switzerland)
Organizers: Alessandro Chiesa (University of California, Berkeley), Tom Gur (University of Warwick)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 Aug 14, 2019 12:41 PM PDT 
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 Jul 31, 2019 11:07 AM PDT 
Sums of Squares Method in Geometry, Combinatorics and Optimization
Organizers: LEAD Grigoriy Blekherman (Georgia Institute of Technology), Annie Raymond (University of Massachusetts Amherst), Rekha Thomas (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 Jul 26, 2019 03:40 PM PDT 
Introduction to water waves
Organizers: Mihaela Ifrim (University of WisconsinMadison), Daniel Tataru (University of California, Berkeley)The purpose of this two weeks school is to introduce graduate students to the state of the art methods and results in the study of incompressible Euler’s equations in general, and water waves in particular. This is a research area which is highly relevant to many real life problems, and in which substantial progress has been made in the last decade.
The goal is to present the main current research directions in water waves. We will begin with the physical derivation of the equations, and present some of the analytic tools needed in study. The final goal will be twofold, namely (i) to understand the local solvability of the Cauchy problem for water waves, as well as (ii) to describe the long time behavior of solutions.
Through the lectures and associated problem sessions, students will learn about a number of new analysis tools which are not routinely taught in a graduate school curriculum. The goal is to help students acquire the knowledge needed in order to start research in water waves and Euler equations.
Updated on Jul 26, 2019 03:40 PM PDT 
Connections for Women: Decidability, definability and computability in number theory
Organizers: LEAD Valentina Harizanov (George Washington University), David Marker (University of Illinois, Chicago), Russell Miller (Queens College, CUNY; CUNY, Graduate Center), Jennifer Park (Massachusetts Institute of Technology), Alexandra Shlapentokh (East Carolina University)The aim of the workshop is to discover how the problems in number theory and algebraic geometry arising from the Hilbert’s tenth problem for rationals interact with the ideas and techniques in mathematical logic, such as definability from model theory and decidability and degreetheoretic complexity from computability theory. This interaction includes various analogues of Hilbert’s tenth problem and related questions, focusing on the connections of algebraic, numbertheoretic, modeltheoretic, and computabilitytheoretic properties of structures and objects in algebraic number theory, anabelian geometry, field arithmetic, and differential algebra.
Updated on Apr 11, 2019 01:47 PM PDT 
Introductory Workshop: Decidability, definability and computability in number theory
Organizers: Maryanthe Malliaris (University of Chicago), Russell Miller (Queens College, CUNY; CUNY, Graduate Center), LEAD Jonathan Pila (University of Oxford), Alexandra Shlapentokh (East Carolina University)Our workshop will focus research efforts on the interaction of numbertheoretic questions with questions of decidability, definability, and computability, bringing together researchers approaching these questions from various sides to work on the core issues. This Introductory Workshop will serve as the introductory event of the MSRI semester program and is designed to introduce the basic structures and ideas of the different communities, and to highlight problems of active current interest.
Updated on Apr 23, 2019 01:30 PM PDT 
Connections for Women: Random and Arithmetic Structures in Topology
Organizers: LEAD Ursula Hamenstädt (Rheinische FriedrichWilhelmsUniversität Bonn), LEAD Fanny Kassel (Institut des Hautes Études Scientifiques (IHES))This twoday workshop will consist of various talks given by prominent female mathematicians in the field. These will be appropriate for graduate students, postdocs, and researchers in areas related to the program. The workshop will also include a professional development session.
This workshop is open to all mathematicians.
Updated on Jun 12, 2018 09:17 AM PDT 
Introductory Workshop: Random and Arithmetic Structures in Topology
Organizers: Jeffrey Brock (Brown University), Michelle Bucher (Université de Genève), LEAD Alan Reid (Rice University)The use of dynamical invariants has long been a staple of geometry and topology, from rigidity theorems, to classification theorems, to the general study of lattices and of the mapping class group. More recently, random structures in topology and notions of probabilistic geometric convergence have played a critical role in
testing the robustness of conjectures in the arithmetic setting.
In this introductory workshop, we will bring together junior and senior researchers in order to provide a mix of introductory lectures as well as reporting on more recent progress in topics from this diverse range of subjects.Updated on Jun 17, 2019 08:13 AM PDT 
Structure and randomness in locally symmetric spaces
Organizers: Nicolas Bergeron (Université de Paris VI (Pierre et Marie Curie)), Lewis Bowen, Tsachik Gelander (Weizmann Institute of Science), LEAD Alan Reid (Rice University), Abigail Thompson (University of California, Davis)The study of discrete subgroups of Lie groups and the associated locally symmetric manifolds has a long and rich history, with powerful interconnections between the geometry of the locally symmetric space, topology of towers of its finite covers, and numbertheoretic aspects. More recently dynamical and probabilistic techniques have been fruitfully employed to study these groups and spaces. The workshop will take stock of recent developments in these highly active fields from a variety of backgrounds.
Updated on Jun 06, 2019 09:08 AM PDT 
Recent Developments in Fluid Dynamics
Organizers: Thomas Alazard (École Normale Supérieure; Centre National de la Recherche Scientifique (CNRS)), Hajer Bahouri (Université ParisEst Créteil ValdeMarne; Centre National de la Recherche Scientifique (CNRS)), Mihaela Ifrim (University of WisconsinMadison), Igor Kukavica (University of Southern California), David Lannes (Université de Bordeaux I; Centre National de la Recherche Scientifique (CNRS)), LEAD Daniel Tataru (University of California, Berkeley)The aim of the workshop is to bring together a broad array of researchers working on incompressible fluid dynamics. Some of the key topics to be covered are Euler flows, Navier Stokes equations as well as water wave flows and associated model equations. Some emphasis will also be placed on numerical analysis of the above evolutions.
Updated on Jun 18, 2019 09:54 AM PDT 
Integrable structures in random matrix theory and beyond
Organizers: LEAD Jinho Baik (University of Michigan), Alexei Borodin (Massachusetts Institute of Technology), Tamara Grava (University of Bristol; SISSA), Alexander Its (Indiana UniversityPurdue University Indianapolis), Sandrine Péché (Université de Paris VII (Denis Diderot))This workshop will focus on the integrable aspect of random matrix theory and other related probability models such as random tilings, directed polymers, and interacting particle systems. The emphasis is on communicating diverse algebraic structures in these areas which allow the asymptotic analysis possible. Some of such structures are determinantal point processes, Toeplitz and Hankel determinants, Bethe ansatz, YangBaxter equation, KarlinMcGregor formula, Macdonald process, and stochastic six vertex model.
Updated on Jul 31, 2019 03:22 PM PDT
Past all workshops

Workshop Connections for Women: Holomorphic Differentials in Mathematics and Physics
Organizers: Laura Fredrickson (Stanford University), Lotte Hollands (HeriotWatt University, Riccarton Campus), LEAD Qiongling Li (Chern Institute of Mathematics), Anna Wienhard (RuprechtKarlsUniversität Heidelberg), Grace Work (Massachusetts Institute of Technology)This twoday workshop will consist of various talks given by prominent female mathematicians on topics of new developments in the role of holomorphic differentials on Riemann surfaces. These will be appropriate for graduate students, postdocs, and researchers in areas related to the program.
This workshop is open to all mathematicians.Updated on Aug 15, 2019 03:25 PM PDT 
Summer Graduate School Toric Varieties (National Center for Theoretical Sciences, Taipei)
Organizers: David Cox (Amherst College), Henry Schenck (Iowa State University)Toric varieties are algebraic varieties defined by combinatorial data, and there is a wonderful interplay between algebra, combinatorics and geometry involved in their study. Many of the key concepts of abstract algebraic geometry (for example, constructing a variety by gluing affine pieces) have very concrete interpretations in the toric case, making toric varieties an ideal tool for introducing students to abstruse concepts.
Updated on Aug 08, 2019 09:27 AM PDT 
Summer Graduate School Mathematics of Machine Learning
Organizers: Sebastien Bubeck (Microsoft Research), Anna Karlin (University of Washington), Adith Swaminathan (Microsoft Research)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 01, 2019 10:00 AM PDT 
Summer Graduate School HPrinciple (INdAM, Cortona, Italy)
Organizers: LEAD Emmy Murphy (Northwestern University), Takashi Tsuboi (University of Tokyo)This two week summer school will introduce graduate students to the theory of hprinciples. After building up the theory from basic smooth topology, we will focus on more recent developments of the theory, particularly applications to symplectic and contact geometry, fluid dynamics, and foliation theory.
Updated on Aug 08, 2019 09:31 AM PDT 
Summer Graduate School Recent topics on wellposedness and stability of incompressible fluid and related topics
Organizers: LEAD Yoshikazu Giga (University of Tokyo), Maria Schonbek (University of California, Santa Cruz), Tsuyoshi Yoneda (University of Tokyo)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 19, 2019 04:17 PM PDT 
Summer Graduate School Polynomial Method
Organizers: Adam Sheffer (Bernard M. Baruch College, CUNY), LEAD Joshua Zahl (University of British Columbia)In the past eight years, a number of longstanding open problems in combinatorics were resolved using a new set of algebraic techniques. In this summer school, we will discuss these new techniques as well as some exciting recent developments.
Updated on Jul 12, 2019 03:36 PM PDT 
Summer Graduate School Séminaire de Mathématiques Supérieures 2019: Current trends in Symplectic Topology
Organizers: Octav Cornea (Université de Montréal), Yakov Eliashberg (Stanford University), Michael Hutchings (University of California, Berkeley), Egor Shelukhin (Université de Montréal)Symplectic topology is a fast developing branch of geometry that has seen phenomenal growth in the last twenty years. This two weeks long summer school, organized in the setting of the Séminaire de Mathématiques Supérieures, intends to survey some of the key directions of development in the subject today thus covering: advances in homological mirror symmetry; applications to hamiltonian dynamics; persistent homology phenomena; implications of flexibility and the dichotomy flexibility/rigidity; legendrian contact homology; embedded contact homology and fourdimensional holomorphic techniques and others. With the collaboration of many of the top researchers in the field today, the school intends to serve as an introduction and guideline to students and young researchers who are interested in accessing this diverse subject.
Updated on Dec 10, 2018 04:21 PM PST 
Summer Graduate School Geometric Group Theory
Organizers: LEAD Rita Jiménez Rolland (Instituto de Matematicás, UNAMOaxaca), LEAD Pierre Py (Instituto de Matematicás, UNAMCiudad Universitaria)Geometric group theory studies discrete groups by understanding the connections between algebraic properties of these groups and topological and geometric properties of the spaces on which they act. The aim of this summer school is to introduce graduate students to specific central topics and recent developments in geometric group theory. The school will also include students presentations to give the participants an opportunity to practice their speaking skills in mathematics. Finally, we hope that this meeting will help connect Latin American students with their American and Canadian counterparts in an environment that encourages discussion and collaboration.
Updated on Jul 03, 2019 11:35 AM PDT 
Summer Graduate School Representation stability
Organizers: Thomas Church (Stanford University), LEAD Andrew Snowden (University of Michigan), Jenny Wilson (University of Michigan)This summer school will give an introduction to representation stability, the study of algebraic structural properties and stability phenomena exhibited by sequences of representations of finite or classical groups  including sequences arising in connection to hyperplane arrangements, configuration spaces, mapping class groups, arithmetic groups, classical representation theory, Deligne categories, and twisted commutative algebras. Representation stability incorporates tools from commutative algebra, category theory, representation theory, algebraic combinatorics, algebraic geometry, and algebraic topology. This workshop will assume minimal prerequisites, and students in varied disciplines are encouraged to apply.
Updated on Jul 03, 2019 03:47 PM PDT 
MSRIUP MSRIUP 2019: Combinatorics and Discrete Mathematics
Organizers: Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Franco (Queensborough Community College (CUNY); MSRI  Mathematical Sciences Research Institute), LEAD Rebecca Garcia (Sam Houston State University), Pamela Harris (Williams College), Suzanne Weekes (Worcester Polytechnic Institute)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 2019, MSRIUp will focus on the application of combinatorial arguments and techniques to enumerate, examine, and investigate the existence of discrete mathematical structures with certain properties. The areas of interest for these applications encompass a wide range of mathematical fields and will include algebra, number theory, and graph theory, through weight multiplicity computations, the study of vector partition functions, and graph domination problems, respectively. The research program will be led by Dr. Pamela E. Harris, Assistant Professor of Mathematics at Williams College.
Updated on May 02, 2019 02:40 PM PDT 
Summer Graduate School Random and arithmetic structures in topology
Organizers: LEAD Alexander Furman (University of Illinois at Chicago), Tsachik Gelander (Weizmann Institute of Science)The study of locally symmetric manifolds, such as closed hyperbolic manifolds, involves geometry of the corresponding symmetric space, topology of towers of its finite covers, and numbertheoretic aspects that are relevant to possible constructions.The workshop will provide an introduction to these and closely related topics such as lattices, invariant random subgroups, and homological methods.Updated on Jul 09, 2019 08:17 AM PDT 
Workshop Improving the Preparation of Graduate Students to Teach Undergraduate Mathematics
Organizers: Jack Bookman (Duke University), Shandy Hauk (WestEd), LEAD Dave Kung (St. Mary's College of Maryland), LEAD Natasha Speer (University of Maine)Is your department interested in helping graduate students learn to teach? Perhaps your department is considering starting a teachingfocused professional development program. Or maybe your department has a program but is interested in updating and enhancing it.
Many departments now offer presemester orientations, semesterlong seminars, and other opportunities for graduate students who are new to teaching so they will be wellequipped to provide highquality instruction to undergraduates. The purpose of this workshop is to support faculty from departments that are considering starting a teachingfocused professional development program or, for departments that have a program, to learn ways to improve it.
Updated on Mar 04, 2019 04:57 PM PST 
Summer Graduate School Commutative Algebra and its Interaction with Algebraic Geometry
Organizers: Craig Huneke (University of Virginia), Sonja Mapes (University of Notre Dame), Juan Migliore (University of Notre Dame), LEAD Claudia Polini (University of Notre Dame), Claudiu Raicu (University of Notre Dame)Linkage is a method for classifying ideals in local rings. Residual intersections is a generalization of linkage to the case where the two `linked' ideals need not have the same codimension. Residual intersections are ubiquitous: they play an important role in the study of blowups, branch and multiple point loci, secant varieties, and Gauss images; they appear naturally in intersection theory; and they have close connections with integral closures of ideals.
Commutative algebraists have long used the Frobenius or pth power map to study commutative rings containing a finite field. The theory of tight closure and test ideals has widespread applications to the study of symbolic powers and to BrianconSkoda type theorems for equicharacteristic rings.
Numerical conditions for the integral dependence of ideals and modules have a wealth of applications, not the least of which is in equisingularity theory. There is a long history of generalized criteria for integral dependence of ideals and modules based on variants of the HilbertSamuel and the BuchsbaumRim multiplicity that still require some remnants of finite length assumptions.
The Rees ring and the special fiber ring of an ideal arise in the process of blowing up a variety along a subvariety. Rees rings and special fiber rings also describe, respectively, the graphs and the images of rational maps between projective spaces. A difficult open problem in commutative algebra, algebraic geometry, elimination theory, and geometric modeling is to determine explicitly the equations defining graphs and images of rational maps.
The school will consist of the following four courses with exercise sessions plus a Macaulay2 workshop
 Linkage and residual intersections
 Characteristic p methods and applications
 Blowup algebras
 Multiplicity theory
Updated on May 29, 2019 09:11 AM PDT 
Workshop Recent Progress in Moduli Theory
Organizers: Lucia Caporaso (Terza Università di Roma), LEAD Sándor Kovács (University of Washington), Martin Olsson (University of California, Berkeley)This workshop will be focused on presenting the latest developments in moduli theory, including (but not restricted to) recent advances in compactifications of moduli spaces of higher dimensional varieties, the birational geometry of moduli spaces, abstract methods including stacks, stability criteria, and applications in other disciplines.Updated on May 09, 2019 01:26 PM PDT 
Workshop 2019 Spring Opportunities Workshop
Organizers: Brianna Donaldson (AIM  American Institute of Mathematics), Leslie Hogben, Michael Young (Iowa State University)GOAL: To highlight careers and opportunities in the mathematical sciences, and to prepare women
and underrepresented minorities for work in academia, industry, and government laboratories.Updated on Mar 08, 2019 11:08 AM PST 
Workshop Hot Topics: Recent progress in Langlands Program
Organizers: Mark Kisin (Harvard University), Elena Mantovan (California Institute of Technology), LEAD Xinwen Zhu (California Institute of Technology)The purpose of the workshop is to explain Vincent Lafforgue's ground breaking work, constructing the automorphic to Galois direction of the Langlands correspondence for function fields. There will also be a number of talks on more recent developments and related results.
Updated on Apr 24, 2019 02:17 PM PDT 
Workshop Derived algebraic geometry and its applications
Organizers: Dennis Gaitsgory (Harvard University), David Nadler (University of California, Berkeley), LEAD Nick Rozenblyum (University of Chicago), Peter Scholze (Universität Bonn), Brooke Shipley (University of Illinois at Chicago)This workshop will bring together researchers at various frontiers, including arithmetic geometry, representation theory, mathematical physics, and homotopy theory, where derived algebraic geometry has had recent impact. The aim will be to explain the ideas and tools behind recent progress and to advertise appealing questions. A focus will be on moduli spaces, for example of principal bundles with decorations as arise in many settings, and their natural structures.
Updated on Apr 03, 2019 11:24 AM PDT 
Workshop Critical Issues in Mathematics Education 2019: Mathematical Modeling in K16: Community and Cultural Contexts
Organizers: Julia Aguirre (University of Washington  Tacoma), LEAD Cynthia Anhalt (University of Arizona), Staffas Broussard (The Algebra Project), Ricardo Cortez (Tulane University), Michael Driskill (Math for America ), Sol Garfunkel (Consortium for Mathematics and Its Applications (COMAP)), Genetha Gray (Salesforce), Maria Hernandez (North Carolina School of Science and Mathematics), LEAD Rachel Levy (MAA  Mathematical Association of America), Javier Rojo (Oregon State)Mathematical Modeling (MM) now has increased visibility in the education system and in the public domain. It appears as a content standard for high school mathematics and a mathematical practice standard across the K12 curriculum (Common Core Standards; and other states’ standards in mathematics education). Job opportunities are increasing in business, industry and government for those trained in the mathematical sciences. Quantitative reasoning is foundational for civic engagement and decisionmaking for addressing complex social, economic, and technological issues. Therefore, we must take action to support and sustain a significant increase in the teaching and learning of mathematical modeling from Kindergarten through Graduate School.
Mathematical modeling is an iterative process by which mathematical concepts and structures are used to analyze or gain qualitative and quantitative understanding of real world situations. Through modeling students can make genuine mathematical choices and decisions that take into consideration relevant contexts and experiences.
Mathematical modeling can be a vehicle to accomplish multiple pedagogical and mathematical goals. Modeling can be used to introduce new material, solidify student understanding of previously learned concepts, connect the world to the classroom, make concrete the usefulness (maybe even the advantages) of being mathematically proficient, and provide a rich context to promote awareness of issues of equity, sociopolitical injustices, and cultural relevance in mathematics.
A critical issue in math education is that although mathematical modeling is part of the K12 curriculum, the great majority of teachers have little experience with mathematical modeling as learners of mathematics or in their teacher preparation. In some cases, mathematics teacher educators have limited experience with mathematical modeling while being largely responsible for preparing future teachers.
Currently, the knowledge in teaching and learning MM is underdeveloped and underexplored. Very few MM resources seem to reach the K16 classrooms. Collective efforts to build a cohesive curriculum in MM and exploration of effective teaching practices based on research are necessary to make mathematical modeling accessible to teacher educators, teachers and students.
At the undergraduate level, mathematical modeling has traditionally been reserved for university courses for students in STEM majors beyond their sophomore year. Many of these courses introduce models but limit the students’ experience to using models that were developed by others rather than giving students the opportunity to generate their own models as is common in everyday life, in modeling competitions and in industry.
The CIME workshop on MM will bring together mathematicians, teacher educators, K12 teachers, faculty and people in STEM disciplines. As partners we can address ways to realize mathematical modeling in the K12 classrooms, teacher preparation, and lower and upper division coursework at universities. The content and pedagogy associated with teaching mathematical modeling needs special attention due to the nature of modeling as a process and as a body of content knowledge.Updated on Mar 08, 2019 01:46 PM PST 
Workshop Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces
Organizers: Julie Bergner (University of Virginia), Bhargav Bhatt (University of Michigan), Christopher Hacon (University of Utah), LEAD Mircea Mustaţă (University of Michigan), Gabriele Vezzosi (Università di Firenze)The workshop will survey several areas of algebraic geometry, providing an introduction to the two main programs hosted by MSRI in Spring 2019. It will consist of 7 expository minicourses and 7 separate lectures, each given by top experts in the field.
The focus of the workshop will be the recent progress in derived algebraic geometry, birational geometry and moduli spaces. The lectures will be aimed at a wide audience including advanced graduate students and postdocs with a background in algebraic geometry.Updated on Feb 13, 2019 03:55 PM PST 
Workshop Connections for Women: Derived Algebraic Geometry, Birational Geometry and Moduli Spaces
Organizers: Julie Bergner (University of Virginia), LEAD Antonella Grassi (University of Pennsylvania), Bianca Viray (University of Washington), Kirsten Wickelgren (Georgia Institute of Technology)This workshop will be on different aspects of Algebraic Geometry relating Derived Algebraic Geometry and Birational Geometry. In particular the workshop will focus on connections to other branches of mathematics and open problems. There will be some colloquium style lectures as well as shorter research talks. The workshop is open to all.
Updated on Jan 29, 2019 10:47 AM PST 
Workshop Hamiltonian systems, from topology to applications through analysis II
Organizers: Alessandra Celletti (Seconda Università di Roma "Tor Vergata''), Rafael de la Llave (Georgia Institute of Technology), Diego delCastilloNegrete (Oak Ridge National Laboratory), Lawrence Evans (University of California, Berkeley), LEAD Philip Morrison (University of Texas, Austin), Sergei Tabachnikov (Pennsylvania State University), Amie Wilkinson (University of Chicago)This is a main workshop of the program “Hamiltonian systems, from topology to applications through analysis.” It will feature current developments pertaining to finite and infinitedimensional Hamiltonian systems, with a mix of rigorous theory and applications. A broad range of topics will be included, e.g., existence of and transport about invariant sets (Arnold diffusion, KAM, etc.), techniques for projection/reduction of infinite to finite systems, and the role of topological invariants in applications.
Updated on Dec 14, 2018 12:29 PM PST 
Workshop 2018 BlackwellTapia Conference and Award Banquet
The NSF Mathematical Sciences Institutes Diversity Committee hosts the 2018 BlackwellTapia Conference and Awards Ceremony. This is the ninth conference since 2000, held every other year, with the location rotating among NSF Mathematics Institutes. The conference and prize honors David Blackwell, the first AfricanAmerican member of the National Academy of Science, and Richard Tapia, winner of the National Medal of Science in 2010, two seminal figures who inspired a generation of AfricanAmerican, Native American and Latino/Latina students to pursue careers in mathematics. The BlackwellTapia Prize recognizes a mathematician who has contributed significantly to research in his or her area of expertise, and who has served as a role model for mathematical scientists and students from underrepresented minority groups, or has contributed in other significant ways to addressing the problem of underrepresentation of minorities in math.
The 2018 recipient of the BlackwellTapia Prize is Dr. Ronald E. Mickens, the Distinguished Fuller E. Callaway Professor in the Department of Physics at Clark Atlanta University.
The conference will include scientific talks, poster presentations, panel discussions, ample opportunities for networking, and the awarding of the BlackwellTapia Prize. Participants are invited from all career stages and will represent institutions of all sizes across the country, including Puerto Rico.
Updated on May 08, 2018 12:46 PM PDT 
Workshop 2018 Modern Math Workshop
Organizers: Hélène Barcelo (MSRI  Mathematical Sciences Research Institute), LEAD Elvan Ceyhan (SAMSI  Statistical and Applied Mathematical Sciences Institute), Leslie McClure (SAMSI  Statistical and Applied Mathematical Sciences Institute), 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))The Mathematical Sciences Diversity Initiative holds a Modern Math Workshop (MMW) prior to the SACNAS National Conference each year. The 2018 MMW will be hosted by SAMSI at the Henry B. Gonzalez Convention Center, San Antonio, Texas on October 10th and 11th, 2018. This workshop is intended to encourage undergraduates, graduate students and recent PhDs from underrepresented minority groups to pursue careers in the mathematical sciences and build research and mentoring networks. The Modern Math Workshop is a preconference event at the SACNAS National Conference. The MMW includes a keynote lecture, minicourses, research talks, a question and answer session and a reception.
Updated on Mar 15, 2018 12:33 PM PDT 
Workshop Hamiltonian systems, from topology to applications through analysis I
Organizers: Alessandra Celletti (Seconda Università di Roma "Tor Vergata''), Rafael de la Llave (Georgia Institute of Technology), Diego delCastilloNegrete (Oak Ridge National Laboratory), Lawrence Evans (University of California, Berkeley), LEAD Philip Morrison (University of Texas, Austin), Sergei Tabachnikov (Pennsylvania State University), Amie Wilkinson (University of Chicago)This is a main workshop of the program “Hamiltonian systems, from topology to applications through analysis” and is a companion to the workshop next month (November 2630). Both workshops will feature current developments pertaining to finite and infinitedimensional Hamiltonian systems, with a mix of rigorous theory and applications. A broad range of topics will be included, e.g., existence of and transport about invariant sets (Arnold diffusion, KAM, etc.), techniques for projection/reduction of infinite to finite systems, and the role of topological invariants in applications.
Updated on Oct 15, 2018 12:28 PM PDT 
Workshop Hot Topics: Shape and Structure of Materials
Organizers: Myfanwy Evans (TU Berlin), LEAD Frank Lutz (TU Berlin), Dmitriy Morozov (Lawrence Berkeley National Laboratory), James Sethian (University of California, Berkeley), Ileana Streinu (Smith College)The fascinating and complicated microstructures of materials that are now visible through advanced imaging techniques challenge the frontiers of characterisation and understanding. At the same time, developments in modern geometric and topological techniques are beginning to illuminate important features of material structures, while the microstructures themselves and the analysis and prediction of their macroscopic properties are inspiring new directions in pure and applied mathematics. In a collaboration with the Lawrence Berkeley National Laboratory (LBNL), this workshop aims at intensifying the interaction of mathematicians with material scientists, physicists and chemists on the structural description and design of materials.
Updated on Oct 05, 2018 03:08 PM PDT 
Workshop Introductory Workshop: Hamiltonian systems, from topology to applications through analysis
Organizers: MarieClaude Arnaud (Université d'Avignon), Wilfrid Gangbo (University of California, Los Angeles), LEAD vadim kaloshin (University of Maryland), Robert Littlejohn (University of California, Berkeley), Philip Morrison (University of Texas, Austin)The introductory workshop will cover the large variety of topics of the semester: weak KAM theory, Mather theory, HamiltonJacobi equations, integrable systems and integrable planar billiards, instability formation for nearly integrable systems, celestial mechanics, billiards, spectral rigidity, Astrodynamics, motion of satellites, Plasma Physics, Accelerator Physics, Theoretical Chemistry, and Atomic Physics.
The workshop will consist of approximately 18 lectures to introduce the main topics relevant to the semester. That will leave time for discussions and exchange between the participants.Updated on Oct 05, 2018 02:51 PM PDT 
Workshop Connections for Women: Hamiltonian Systems, from topology to applications through analysis
Organizers: MarieClaude Arnaud (Université d'Avignon), LEAD Basak Gurel (University of Central Florida), Tere Seara (Polytechnical University of Cataluña (Barcelona))This workshop will feature lectures on a variety of topics in Hamiltonian dynamics given by leading researchers in the area. The talks will focus on recent developments in subjects closely related to the program such as Arnold diffusion, celestial mechanics, HamiltonJacobi equations, KAM methods, AubryMather theory and symplectic topological techniques, and on applications. The workshop is open to all mathematicians in areas related to the program.
Updated on Dec 05, 2018 03:43 PM PST 
Summer Graduate School From Symplectic Geometry to Chaos
Organizers: Marcel Guardia (Polytechnical University of Cataluña (Barcelona) ), vadim kaloshin (University of Maryland), Leonid Polterovich (Tel Aviv University)The purpose of the summer school is to introduce graduate students to stateoftheart methods and results in Hamiltonian systems and symplectic geometry. We focus on recent developments on the study of chaotic motion in Hamiltonian systems and its applications to models in Celestial Mechanics.
Updated on Jul 31, 2018 12:12 PM PDT 
Summer Graduate School Representations of High Dimensional Data
Organizers: Blake Hunter (Microsoft), Deanna Needell (University of California, Los Angeles)In today's world, data is exploding at a faster rate than computer architectures can handle. This summer school will introduce students to modern and innovative mathematical techniques that address this phenomenon. Handson topics will include data mining, compression, classification, topic modeling, largescale stochastic optimization, and more.Updated on Jul 19, 2018 11:45 AM PDT 
Summer Graduate School IAS/PCMI 2018: Harmonic Analysis
Organizers: Carlos Kenig (University of Chicago), Fanghua Lin (New York University, Courant Institute), Svitlana Mayboroda (University of Minnesota, Twin Cities), Tatiana Toro (University of Washington)Harmonic analysis is a central field of mathematics with a number of applications to geometry, partial differential equations, probability, and number theory, as well as physics, biology, and engineering. The Graduate Summer School will feature minicourses in geometric measure theory, homogenization, localization, free boundary problems, and partial differential equations as they apply to questions in or draw techniques from harmonic analysis. The goal of the program is to bring together students and researchers at all levels interested in these areas to share exciting recent developments in these subjects, stimulate further interactions, and inspire the new generation to pursue research in harmonic analysis and its applications.
Updated on Jun 20, 2018 12:17 PM PDT