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.
Current all workshops

Modern Math Workshop 2017
Organizers: Hélène Barcelo (MSRI  Mathematical Sciences Research 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))As part of the Mathematical Sciences Collaborative Diversity Initiatives, nine mathematics institutes are pleased to offer their annual SACNAS preconference event, the 2017 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. The Modern Math Workshop is part of the SACNAS National Conference; the workshop and the conference take place in the Salt Palace Convention Center in Salt Lake City, Utah. The MMW starts at 1:00 pm on Wednesday, October 18 with registration beginning at noon.
Updated on Oct 12, 2017 02:36 PM PDT
Upcoming all workshops

Bay Area Differential Geometry Seminar (BADGS) Fall 2017
Organizers: David Bao (San Francisco State University), Joel Hass (University of California, Davis), David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)Description
The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from midmorning until late afternoon, with 34 speakers. Lunch will be available and the final talk will be followed by dinner. Here is the seminar schedule with abstracts and other information: BADG October 2017Berkeley, CA
Updated on Oct 18, 2017 01:33 PM PDT 
Geometric functional analysis and applications
Organizers: Franck Barthe (Université de Toulouse III (Paul Sabatier)), Rafal Latala (University of Warsaw), Emanuel Milman (TechnionIsrael Institute of Technology), Assaf Naor (Princeton University), LEAD Gideon Schechtman (Weizmann Institute of Science)This is the main workshop of the program "Geometric functional analysis and applications". It will focus on the main topics of the program. These include: Convex geometry, Asymptotic geometric analysis, Interaction with computer science, Signal processing, Random matrix theory and other aspects of Probability.Updated on Oct 10, 2017 10:04 AM PDT 
Women in Topology
Organizers: Maria Basterra (University of New Hampshire), Kristine Bauer (University of Calgary), LEAD Kathryn Hess (École Polytechnique Fédérale de Lausanne (EPFL)), Brenda Johnson (Union CollegeUnion University)The Women in Topology (WIT) network is an international group of female mathematicians interested in homotopy theory whose main goal is to increase the retention of women in the field by providing both unique collaborative research opportunities and mentorship between colleagues. The MSRI WIT meeting will be organized as an afternoon of short talks from participants, followed by two days of open problem seminars and working groups designed to stimulate new collaborations, as well as to strengthen those already ongoing among the participants
Updated on Oct 05, 2017 01:47 PM PDT 
Connections for Women: Enumerative Geometry Beyond Numbers
Organizers: Barbara Fantechi (Sissa), LEAD ChiuChu Melissa Liu (Columbia University)This twoday workshop will provide an overview of significant developments and open problems in modern enumerative geometry, from the perspectives of both algebraic geometry and symplectic topology.
This workshop is open to all mathematicians.
Updated on Jul 30, 2017 11:34 PM PDT 
Introductory Workshop: Enumerative Geometry Beyond Numbers
Organizers: Denis Auroux (University of California, Berkeley), LEAD ChiuChu Melissa Liu (Columbia University), Andrei Okounkov (Columbia University)This workshop will consist of expository minicourses and lectures introducing various aspects of modern enumerative geometry, among which: enumeration via intersection theory on moduli spaces of curves or sheaves, including GromovWitten and DonaldsonThomas invariants; motivic and Ktheoretic refinement of these invariants; and categorical invariants (derived categories of coherent sheaves, Fukaya categories).
Updated on Jul 30, 2017 11:34 PM PDT 
Connections for Women: Group Representation Theory and Applications
Organizers: Karin Erdmann (University of Oxford), Julia Pevtsova (University of Washington)This intensive two day workshop will introduce graduate students and recent PhD’s to some current topics of research in Representation Theory. It will consists of a mixture of survey talks on the hot topics in the area given by leading experts and research talks by junior mathematicians covering subjects such as new developments in character theory, group cohomology, representations of Lie algebras and algebraic groups, geometric representation theory, and categorification.
This workshop is open to all mathematicians.
Updated on Aug 08, 2017 01:13 PM PDT 
Introductory Workshop: Group Representation Theory and Applications
Organizers: Robert Guralnick (University of Southern California), Gunter Malle (TU Kaiserslautern)The workshop will survey various important and active areas of the representation theory of finite and algebraic groups, and introduce the audience to several basic open problems in the area. It will consist of 6 series of 3 lectures each given by top experts in the field. The lectures are designed for a diverse audience and will be accessible to nonspecialists and graduate students with some background in representation theory. Topics covered include Representation theory of algebraic groups, Decomposition numbers of finite groups of Lie type, DeligneLusztig theory, Block theory, Categorification, and Localglobalconjectures.
Updated on Jul 30, 2017 11:34 PM PDT 
Critical Issues in Mathematics Education 2018: Access to mathematics by opening doors for students currently excluded from mathematics
Organizers: Aditya Adiredja (University of Arizona), LEAD Julia Aguirre (University of Washington  Tacoma), Kate Belin (Fannie Lou Hamer Freedom High School), LEAD Ricardo Cortez (Tulane University), Michael Driskill (Math for America ), Nicole Joseph (Vanderbilt University), Katherine Stevenson (California State University, Northridge), Francis Su (Harvey Mudd College), Maria del Rosario Zavala (San Francisco State University)Our mathematics education system is inequitable. It operates in ways that leave a significant proportion of students with negative mathematics experiences and inadequate mathematical preparation. The problem is historical and systemic, and the students most disaffected by the current system are overwhelmingly Black and Latino, Indigenous, poor, women, immigrant or first generation college students. If our mathematics community is to sustainably grow and thrive, mathematics education at all levels must be transformed.
This workshop focuses on students for whom we do not yet successfully ensure access to and advancement in mathematics. Sessions will share relevant programmatic efforts and innovative research that have been shown to maintain or increase students’ engagement and interests in mathematics across k12, undergraduate and graduate education. The sessions will focus particularly on reproducible efforts that affirm those students’ identities and their diverse intellectual resources and lived experiences. These efforts at various levels of mathematics education will highlight ways in which meaningful experiences in mathematics can disrupt ongoing systemic oppression. Participants will leave with conceptual and practical ways to open up and elevate mathematics education where all students thrive.
Updated on Sep 29, 2017 09:35 AM PDT 
Hot Topics: The Homological Conjectures
Organizers: Bhargav Bhatt (University of Michigan), Srikanth Iyengar (University of Utah), Wieslawa Niziol (CNRS, ENSLyon), LEAD Anurag Singh (University of Utah)The homological conjectures in commutative algebra are a network of conjectures that have generated a tremendous amount of activity in the last 50 years. They had largely been resolved for commutative rings that contain a field, but, with the exception of some low dimensional cases, several remained open in mixed characteristic  until recently, when Yves André announced a proof of Hochster's Direct Summand Conjecture. The progress comes from systematically applying Scholze's theory of perfectoid spaces, which had already shown its value by solving formidable problems in number theory and representation theory. One of the goals of the workshop is to cover the ingredients going into the proofs of the Direct Summand Conjecture.
Updated on Sep 25, 2017 12:01 PM PDT 
Structures in Enumerative Geometry
Organizers: Mina Aganagic (University of California, Berkeley), Jim Bryan (University of British Columbia), LEAD Davesh Maulik (Massachusetts Institute of Technology), Balazs Szendroi (University of Oxford), Richard Thomas (Imperial College, London)The purpose of the workshop is to bring together specialists to work on understanding the manyfaceted mathematical structures underlying problems in enumerative geometry. Topics represented at the workshop will include: geometric representation theory, supersymmetric gauge theory, string theory, knot theory, and derived geometry, all of which have had a profound effect on the development of modern enumerative geometry.
Updated on Jul 30, 2017 11:34 PM PDT 
Representations of Finite and Algebraic Groups
Organizers: Robert Guralnick (University of Southern California), Alexander Kleshchev (University of Oregon), Gunter Malle (TU Kaiserslautern), Gabriel Navarro (University of Valencia), LEAD Pham Tiep (University of Arizona)The workshop will bring together key researchers working in various areas of Group Representation Theory to strengthen the interaction and collaboration between them and to make further progress on a number of basic problems and conjectures in the field. Topics of the workshop include
 Globallocal conjectures in the representation theory of finite groups
 Representations and cohomology of simple, algebraic and finite groups
 Connections to Lie theory and categorification, and
 Applications to group theory, number theory, algebraic geometry, and combinatorics.Updated on Jul 30, 2017 11:34 PM PDT 
The ∂Problem in the TwentyFirst Century
Organizers: Debraj Chakrabarti (Central Michigan University), Jeffery McNeal (Ohio State University)This Summer Graduate School will introduce students to the modern theory of the inhomogeneous CauchyRiemann equation, the fundamental partial differential equation of Complex Analysis. This theory uses powerful tools of partial differential equations, differential geometry and functional analysis to obtain a refined understanding of holomorphic functions on complex manifolds. Besides students planning to work in complex analysis, this course will be valuable to those planning to study partial differential equations, complex differential and algebraic geometry, and operator theory. The exposition will be selfcontained and the prerequisites will be kept at a minimum
Updated on Jul 20, 2017 11:48 AM PDT 
Séminaire de Mathématiques Supérieures 2018: Derived Geometry and Higher Categorical Structures in Geometry and Physics
Organizers: Anton Alekseev (Université de Genève), Ruxandra Moraru (University of Waterloo), Chenchang Zhu (Universität Göttingen)Higher categorical structures and homotopy methods have made significant influence on geometry in recent years. This summer school is aimed at transferring these ideas and fundamental technical tools to the next generation of mathematicians.
The summer school will focus on the following four topics: higher categorical structures in geometry, derived geometry, factorization algebras, and their application in physics. There will be eight to ten mini courses on these topics, including mini courses led by Chirs Brav, Kevin Costello, Jacob Lurie, and Ezra Getzler. The prerequisites will be kept at a minimum, however, a introductory courses in differential geometry, algebraic topology and abstract algebra are recommended.Updated on Oct 11, 2017 10:49 AM PDT 
MSRIUP 2018: The Mathematics of Data Science
Organizers: Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), LEAD Maria Mercedes Franco (Queensborough Community College (CUNY)), Rebecca Garcia (Sam Houston State University), David Uminsky (University of San Francisco), 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 2018, MSRIUP will focus on the core role of (linear) algebra in current research and application areas of Data Science ranging from unsupervised learning, clustering and networks, to algebraic signal processing and feature extraction, to the central role linear algebra plays in deep machine learning. The research program will be led by Dr. David Uminsky, Associate Professor of Mathematics and Statistics at the University of San Francisco.
Updated on Oct 11, 2017 10:55 AM PDT 
Mathematical Analysis of Behavior
Organizers: Ann Hermundstad (Janelia Research Campus, HHMI), Vivek Jayaraman (Janelia Research Campus, HHMI), Eva Kanso (University of Southern California), L. Mahadevan (Harvard University)Explore Outstanding Phenomena in Animal Behavior
Jointly hosted by Janelia and the Mathematical Sciences Research Institute (MSRI), this program will bring together 1520 advanced PhD students with complementary expertise who are interested in working at the interface of mathematics and biology. Emphasis will be placed on linking behavior to neural dynamics and exploring the coupling between these processes and the natural sensory environment of the organism. The aim is to educate a new type of global scientist that will work collaboratively in tackling complex problems in cellular, circuit and behavioral biology by combining experimental and computational techniques with rigorous mathematics and physics.
Updated on Sep 29, 2017 09:49 AM PDT 
Derived Categories
Organizers: Nicolas Addington (University of Oregon), LEAD Alexander Polishchuk (University of Oregon)The goal of the school is to give an introduction to basic techniques for working with derived categories, with an emphasis on the derived categories of coherent sheaves on algebraic varieties. A particular goal will be to understand Orlov’s equivalence relating the derived category of a projective hypersurface with matrix factorizations of the corresponding polynomial.Updated on Jul 20, 2017 12:29 PM PDT 
Hprinciple
Organizers: 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, and foliation theory.
Updated on Sep 28, 2017 03:55 PM PDT 
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)Created on Oct 09, 2017 01:36 PM PDT 
Representations of High Dimensional Data
Organizers: Blake Hunter (Claremont McKenna College), 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 20, 2017 01:46 PM PDT 
From Symplectic Geometry to Chaos
Organizers: Marcel Guardia (Universitat Politecnica de Catalunya), 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 Oct 03, 2017 01:40 PM PDT 
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 M. Seara (Universitat Politecnica de Catalunya)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 Jul 30, 2017 11:34 PM PDT 
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)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 Sep 26, 2017 09:18 AM PDT 
Hamiltonian systems, from topology to applications through analysis I
Organizers: Alessandra Celletti (University of Rome 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 at Austin), Serge 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 Sep 12, 2017 11:19 AM PDT 
Hamiltonian systems, from topology to applications through analysis II
Organizers: Alessandra Celletti (University of Rome Tor Vergata), Rafael de la Llave (Georgia Institute of Technology), Diego DelCastilloNegrete (Oak Ridge National Laboratory), Lawrence Evans (University of California, Berkeley), Philip Morrison (University of Texas at Austin), Serge 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 Sep 12, 2017 11:24 AM PDT 
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 Jul 30, 2017 11:34 PM PDT 
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 Aug 28, 2017 09:13 AM PDT 
Derived algebraic geometry and its applications
Organizers: Dennis Gaitsgory (Harvard University), David Nadler (University of California, Berkeley), LEAD Nikita Rozenblyum (University of Chicago), Peter Scholze (Universität Bonn), Brooke Shipley (University of Illinois at Chicago), Bertrand Toen (Centre National de la Recherche Scientifique (CNRS))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 Jul 30, 2017 11:34 PM PDT 
Recent Progress in Moduli Theory
Organizers: Lucia Caporaso (University of Rome, Roma 3), 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 Jul 30, 2017 11:34 PM PDT
Past all workshops

Workshop Geometric and topological combinatorics: Modern techniques and methods
Organizers: Patricia Hersh (North Carolina State University), LEAD Victor Reiner (University of Minnesota Twin Cities), Bernd Sturmfels (University of California, Berkeley), Frank Vallentin (Universität zu Köln), Günter Ziegler (Freie Universität Berlin)This workshop will focus on the interaction between Combinatorics, Geometry and Topology, including recent developments and techniques in areas such as
 polytopes and cell complexes,
 simplicial complexes and higher order graph theory,
 methods from equivariant topology and configuration spaces,
 geometric combinatorics in optimization and social choice theory,
 algebraic and algebrogeometric methods.Updated on Oct 13, 2017 04:18 PM PDT 
Workshop Introductory Workshop: Geometric and Topological Combinatorics
Organizers: Imre Barany (Renyi Institute of Mathematics), Anders Björner (Royal Institute of Technology (KTH)), LEAD Benjamin Braun (University of Kentucky), Isabella Novik (University of Washington), Francis Su (Harvey Mudd College), Rekha Thomas (University of Washington)The introductory workshop will present the main topics that will be the subject of much of the Geometric and Topological Combinatorics Program at MSRI. Key areas of interest are point configurations and matroids, hyperplane and subspace arrangements, polytopes and polyhedra, lattices, convex bodies, and sphere packings. This workshop will consist of introductory talks on a variety of topics, intended for a broad audience.
Updated on Sep 26, 2017 02:39 PM PDT 
Workshop Connections for Women Workshop: Geometric and Topological Combinatorics
Organizers: Federico Ardila (San Francisco State University), Margaret Bayer (University of Kansas), Francisco Santos (University of Cantabria), LEAD Cynthia Vinzant (North Carolina State University)This workshop will feature lectures on a variety of topics in geometric and topological combinatorics, given by prominent women and men in the field. It precedes the introductory workshop and will preview the major research themes of the semester program. There will be a panel discussion focusing on issues particularly relevant to junior researchers, women, and minorities, as well as other social events. This workshop is open to all mathematicians.
Updated on Sep 06, 2017 08:32 AM PDT 
Workshop Introductory Workshop: phenomena in high dimensions
Organizers: LEAD Alexander Koldobsky (University of Missouri), Michel Ledoux (University of Toulouse), Monika Ludwig (Technische Universität Wien), Alain Pajor (Université de Paris Est MarnelaVallée), Stanislaw Szarek (Case Western Reserve University), Roman Vershynin (University of Michigan)This workshop will consist of several short courses related to high dimensional convex geometry, high dimensional probability, and applications in data science. The lectures will be accessible for graduate students.
Updated on Sep 05, 2017 11:18 AM PDT 
Workshop Connections for Women: geometry and probability in high dimensions
Organizers: LEAD Shiri Artstein (Tel Aviv University), Marianna Csornyei (University of Chicago), Eva Kopecka (LeopoldFranzens Universität Innsbruck), Elisabeth Werner (Case Western Reserve University)This workshop will be on topics connected with Asymptotic Geometric Analysis  a relatively new field, the young finite dimensional cousin of Banach Space theory, functional analysis and classical convexity. We study high, but finite, dimensional objects, where the disorder of many parameters and many dimensions is regularized by convexity assumptions. This workshop is open to all mathematicians.
Updated on Aug 29, 2017 10:40 AM PDT 
Summer Graduate School Automorphic Forms and the Langlands Program
Organizers: LEAD Kevin Buzzard (Imperial College, London)The summer school will be an introduction to the more algebraic aspects of the theory of automorphic forms and representations. One of the goals will be to understand the statements of the main conjectures in the Langlands programme. Another will be to gain a good working understanding of the fundamental definitions in the theory, such as principal series representations, the Satake isomorphism, and of course automorphic forms and representations for groups such as GL_n and its inner forms.
Updated on Aug 04, 2017 11:02 AM PDT 
Summer Graduate School Nonlinear dispersive PDE, quantum many particle systems and the world between
Organizers: Natasa Pavlovic (University of Texas), Gigliola Staffilani (Massachusetts Institute of Technology), Nikolaos Tzirakis (University of Illinois at UrbanaChampaign)The purpose of the summer school is to introduce graduate students to the recent developments in the area of dispersive partial differential equations (PDE), which have received a great deal of attention from mathematicians, in part due to ubiquitous applications to nonlinear optics, water wave theory and plasma physics.
Recently remarkable progress has been made in understanding existence and uniqueness of solutions to nonlinear Schrodinger (NLS) and KdV equations, and properties of those solutions. We will outline the basic tools that were developed to address these questions. Also we will present some of recent results on derivation of NLS equations from quantum many particle systems and will discuss how methods developed to study the NLS can be relevant in the context of the derivation of this nonlinear equation.
Updated on Sep 12, 2017 02:02 PM PDT 
Summer Graduate School Séminaire de Mathématiques Supérieures 2017: Contemporary Dynamical Systems
Organizers: Sylvain Crovisier (Université de Paris VI (Pierre et Marie Curie)Université de Paris XI (ParisSud)), LEAD Konstantin Khanin (University of Toronto), Andrés Navas Flores (University of Santiago de Chile), Christiane Rousseau (Université de Montréal), Marcelo Viana (Institute of Pure and Applied Mathematics (IMPA)), Amie Wilkinson (University of Chicago)The theory of dynamical systems has witnessed very significant developments in the last decades, including the work of two 2014 Fields medalists, Artur Avila and Maryam Mirzakhani. The school will concentrate on the recent significant developments in the field of dynamical systems and present some of the present main streams of research. Two central themes will be those of partial hyperbolicity on one side, and rigidity, group actions and renormalization on the other side. Other themes will include homogeneous dynamics and geometry and dynamics on infinitely flat surfaces (both providing connections to the work of Maryam Mirzakhani), topological dynamics, thermodynamical formalism, singularities and bifurcations in analytic dynamical systems.
Updated on May 06, 2017 01:18 AM PDT 
Summer Graduate School Positivity Questions in Geometric Combinatorics
Organizers: Eran Nevo (The Hebrew University of Jerusalem), Raman Sanyal (Johann Wolfgang GoetheUniversität Frankfurt)McMullen’s gConjecture from 1970 is a shining example of mathematical foresight that combined all results available at that time to conjure a complete characterization of face numbers of convex simple/simplicial polytopes. The key statement in its verification is that certain combinatorial numbers associated to geometric (or topological) objects are nonnegative. The aim of this workshop is to introduce graduate students to selected contemporary topics in geometric combinatorics with an emphasis on positivity questions. It is fascinating that the dual notions of simple and simplicial polytopes lead to different but equally powerful algebraic frameworks to treat such questions. A key feature of the lectures will be the simultaneous development of these algebraic frameworks from complementary perspectives: combinatorialtopological and convexgeometric. General concepts (such as Lefschetz elements, Hodge–Riemann–Minkowski inequalities) will be developed sidebyside, and analogies will be drawn to concepts in algebraic geometry, Fourier analysis, rigidity theory and measure theory. This allows for entry points for students with varying backgrounds. The courses will be supplemented with guest lectures highlighting further connections to other fields.
Updated on Jul 21, 2017 10:13 AM PDT 
Workshop Algebraic Combinatorixx 2: Followup to BIRS Workshop
Updated on Aug 14, 2017 08:45 AM PDT 
Summer Graduate School Soergel Bimodules
Organizers: LEAD Ben Elias (University of Oregon), Geordie Williamson (University of Sydney)We will give an introduction to categorical representation theory, focusing on the example of Soergel bimodules, which is a categorification of the IwahoriHecke algebra. We will give a comprehensive introduction to the "tool box" of modern (higher) representation theory: diagrammatics, homotopy categories, categorical diagonalization, module categories, Drinfeld center, algebraic Hodge theory.
Updated on Jul 10, 2017 01:18 PM PDT 
MSRIUP MSRIUP 2017: Solving Systems of Polynomial Equations
Organizers: LEAD Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Mercedes Franco (Queensborough Community College (CUNY)), Herbert Medina (Loyola Marymount University), J. Maurice Rojas (Texas A & M University), 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 2017, MSRIUP will focus on Solving Systems of Polynomial Equations, a topic at the heart of almost every computational problem in the physical and life sciences. We will pay special attention to complexity issues, highlighting connections with tropical geometry, number theory, and the P vs. NP problem. The research program will be led by Prof. J. Maurice Rojas of Texas A&M University.Students who have had a linear algebra course and a course in which they have had to write proofs are eligible to apply. Due to funding restrictions, only U.S. citizens and permanent residents may apply regardless of funding. Members of underrepresented groups are especially encouraged to apply.Updated on Aug 17, 2017 11:42 AM PDT 
Summer Graduate School Subfactors: planar algebras, quantum symmetries, and random matrices
Organizers: LEAD Scott Morrison (Australian National University), Emily Peters (Loyola University), Noah Snyder (Indiana University)Subfactor theory is a subject from operator algebras, with many surprising connections to other areas of mathematics. This summer school will be devoted to understanding the representation theory of subfactors, with a particular emphasis on connections to quantum symmetries, fusion categories, planar algebras, and random matrices
Updated on Jun 20, 2017 03:34 PM PDT 
Workshop Career in Academia
Organizers: Hélène Barcelo (MSRI  Mathematical Sciences Research Institute), Estelle Basor (AIM  American Institute of Mathematics), David Farmer (AIM  American Institute of Mathematics), Sally Koutsoliotas (Bucknell University)This workshop will focus on preparing each participant for a successful career as a mathematician at a college or university. Beginning with the hiring process, a thorough discussion of the various elements of the application packet will take place in the context of each participant's materials. Working individually with experienced faculty, participants will review and refine their cover letters, C.V., research, and teaching statements. This will be followed by activities related to the interview. The primary goals of the workshop are to develop an understanding of the hiring process from the institutions' perspective, to refine the application packet, to learn what to expect during the interview process (including the job talk), and to prepare for negotiating salary and startup packages.
Additional time will be spent on aspects of the pretenure years including the development of a research program, writing grant proposals, and mentoring research students. The threeday workshop will consist of oneonone work with experienced mentors, small group discussions, critique of written materials, plenary sessions, and time for individual work and consultation.
Updated on May 06, 2017 01:18 AM PDT 
Summer Graduate School Commutative Algebra and Related Topics
Organizers: Shinobu Hikami (Okinawa Institute of Science and Technology), LEAD Shihoko Ishii (Tokyo Woman's Christian University), Kazuhiko Kurano (Meiji University), Kenichi Yoshida (Nihon University)The purpose of the school will be to introduce graduate students to foundational results in commutative algebra, with particular emphasis of the diversity of the related topics with commutative algebra. Some of these topics are developing remarkably in this decade and through learning those subjects the graduate students will be stimulated toward future research.
Updated on Jun 21, 2017 04:53 PM PDT 
Workshop Recent Developments in Harmonic Analysis
Organizers: Michael Christ (University of California, Berkeley), Steven Hofmann (University of Missouri), LEAD Michael Lacey (Georgia Institute of Technology), Betsy Stovall (University of WisconsinMadison), Brian Street (University of WisconsinMadison)Topics for this workshop will be drawn from the main research directions of this conference, including:(1) Restriction, Kakeya, and geometric incidence problems(2) Analysis on nonhomogenous spaces(3) Weighted estimates(4) Quantitative rectifiability and other topics in PDEUpdated on May 26, 2017 12:27 PM PDT 
Workshop Recent developments in Analytic Number Theory
Organizers: Tim Browning (University of Bristol), Chantal David (Concordia University), Kannan Soundararajan (Stanford University), LEAD Terence Tao (University of California, Los Angeles)This workshop will be focused on presenting the latest developments in analytic number theory, including (but not restricted to) recent advances in sieve theory, multiplicative number theory, exponential sums, arithmetic statistics, estimates on automorphic forms, and the HardyLittlewood circle method.
Updated on Jun 05, 2017 10:26 AM PDT 
Workshop A View Towards Algebraic Geometry, in honor of David Eisenbud’s birthday
Updated on May 06, 2017 01:18 AM PDT 
Workshop Bay Area Differential Geometry Seminar (BADGS) Spring 2017
Organizers: David Bao (San Francisco State University), Joel Hass (University of California, Davis), David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from midmorning until late afternoon, with 34 speakers. Lunch will be available and the final talk will be followed by dinner.
Updated on May 06, 2017 01:18 AM PDT 
Workshop Hot Topics: Galois Theory of Periods and Applications
Organizers: LEAD Francis Brown (University of Oxford), Clément Dupont (Université de Montpellier), Richard Hain (Duke University), Vadim Vologodsky (University of Oregon)Periods are integrals of algebraic differential forms over algebraicallydefined domains and are ubiquitous in mathematics and physics. A deep idea, originating with Grothendieck, is that there should be a Galois theory of periods. This general principle provides a unifying approach to several problems in the theory of motives, quantum groups and geometric group theory. This conference will bring together leading experts around this subject and cover topics such as the theory of multiple zeta values, modular forms, and motivic fundamental groups.Updated on May 06, 2017 01:18 AM PDT 
Workshop Critical Issues in Mathematics Education 2017: Observing for Access, Power, and Participation in Mathematics Classrooms as a Strategy to Improve Mathematics Teaching and Learning
Organizers: Michael Driskill (Math for America ), Esther Enright (Boise State University), Rochelle Gutierrez (University of Illinois), LEAD Jodie Novak (University of Northern Colorado), LEAD Miriam Sherin (Northwestern University), Joi Spencer (University of San Diego), Elizabeth van Es (University of California, Irvine)Success rates in mathematics as well as recruitment and retention rates in the mathematics pipeline are low at all education levels and are, across predictable demographics, disproportionately low for students who are women, Latin@, Black, American Indian, recent immigrants, emergent bilinguals/multilinguals, and poor. Efforts to address these low rates often focus on programmatic solutions such as creating mentoring or bridge programs to address perceived deficiencies. While these programs achieve some success, evidence suggests that they may not substantially improve students’ subsequent success in mathematics or meaningfully address the ways that students experience mathematics instruction.
The 2017 CIME workshop will focus on observations of mathematics classrooms through the lens of equity. Specifically, we will use observation as a tool for understanding and improving imbalances of access, participation, and power in mathematics teaching and learning. In doing so, we seek to better understand students’ experiences in mathematics classrooms in order to improve academic success, recruitment and retention, and meaningful experiences for historically marginalized populations.
Five questions structure the highly interactive design of the workshop:
 What does it mean to create an equitable classroom environment? How can the structure of classroom interactions lead to imbalances of access, identity, and power in mathematics teaching and learning? How can such structures be rebuilt to better serve all students?
 How might observations of mathematics instruction help us to identify power dynamics in classrooms? What language is helpful to describe interactions in mathematics classrooms? What might we learn from observations about how culture and identity are developed for some students but not others? What do classroom observations reveal about how instruction supports or discourages engagement in mathematics for students of different backgrounds?
 What does it mean to observe interactions in a mathematics classroom with an eye towards equity? What language is helpful to describe interactions in mathematics classrooms? How do we observe and describe interactions among students, between students and mathematics, between students and instructors, and between students and resources (i.e., textbooks, computers, chalkboards, manipulatives)?
 What professional experiences can support mathematics instructors to learn how to observe for, describe, interpret, and productively address interactions in the mathematics classroom from the lens of equity? What professional experiences can support mathematics instructors to increase the number of equitable interactions and decrease the number of inequitable ones in their classrooms?
 What measures might be useful in tracking our progress in learning to see, describe, interpret, and productively address (in)equitable interactions in mathematics classrooms? What measures and tools might be useful in tracking the impacts on instruction and student learning? How might we develop infrastructure to help with this work (video library, faculty resources, etc.)?
Updated on May 06, 2017 01:18 AM PDT 
Workshop Academic Sponsors Day
Updated on May 06, 2017 01:18 AM PDT 
Workshop Bay Area Differential Geometry Seminar (BADGS) Spring 2017
Organizers: David Bao (San Francisco State University), Joel Hass (University of California, Davis), David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from midmorning until late afternoon, with 34 speakers. Lunch will be available and the final talk will be followed by dinner.
Updated on May 06, 2017 01:18 AM PDT 
Workshop Introductory Workshop: Analytic Number Theory
Organizers: Andrew Granville (Université de Montréal), LEAD Emmanuel Kowalski (ETH Zurich), Kaisa Matomäki (University of Turku), Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL))The introductory workshop will present, through short minicourses and introductory lectures, the main topics that will be the subject of much of the Analytic Number Theory Programme at MSRI. These topics include the theory of multiplicative functions, the theory of modular forms and Lfunctions, the circle method, sieve methods, and the theory of exponential sums over finite fields
Updated on May 06, 2017 01:18 AM PDT 
Workshop Connections for Women: Analytic Number Theory
Organizers: LEAD Chantal David (Concordia University), Kaisa Matomäki (University of Turku), Lillian Pierce (Duke University), Kannan Soundararajan (Stanford University), Terence Tao (University of California, Los Angeles)This workshop will consist of lectures on the current state of research in analytic number theory, given by prominent women and men in the field. The workshop is open to all graduate students, postdocs, and researchers in areas related to the program; it will also include a panel discussion session among female researchers on career issues, as well as other social events
Updated on May 06, 2017 01:18 AM PDT 
Workshop Introductory Workshop: Harmonic Analysis
Organizers: Allan Greenleaf (University of Rochester), LEAD Michael Lacey (Georgia Institute of Technology), Svitlana Mayboroda (University of Minnesota, Twin Cities), Betsy Stovall (University of WisconsinMadison), Brian Street (University of WisconsinMadison)This weeklong workshop will serve as an introduction for graduate students, postdocs, and other researchers to the main themes of the program. It will feature accessible talks by a number of leading harmonic analysts, including several short courses on the core ideas and techniques in the field. There will also be a problem session, to which all participants are encouraged to contribute.
Updated on May 06, 2017 01:18 AM PDT 
Workshop Connections for Women: Harmonic Analysis
Organizers: Svitlana Mayboroda (University of Minnesota, Twin Cities), LEAD Betsy Stovall (University of WisconsinMadison)This workshop will highlight the work of several prominent women working in harmonic analysis, including some of the field's rising stars. There will also be a panel discussion. There will also be a contributed poster session. This workshop is open to, and poster contributions are welcome from all mathematicians.
Updated on May 06, 2017 01:18 AM PDT 
Workshop Amenability, coarse embeddability and fixed point properties
Organizers: Goulnara Arzhantseva (University of Vienna), LEAD Cornelia Drutu (University of Oxford), Graham Niblo (University of Southampton), Piotr Nowak (Polish Academy of Sciences)The main theme of the workshop is the spectrum of analytic properties running from Kazhdan's property (T) at one end to von Neumann's amenability at the other, that forms a foundational organizing structure for infinite groups and spaces. These properties can be described both analytically, via unitary representation theory, and geometrically, using embedding properties for discrete spaces. Connections with probability and combinatorics will likewise be addressed during the meeting.
Updated on May 06, 2017 01:18 AM PDT 
Workshop Insect Navigation
Organizers: Larry Abbott (Columbia University), David Eisenbud (MSRI  Mathematical Sciences Research Institute), Mimi Koehl (University of California, Berkeley)A 3day joint workshop of MSRI and Janelia Research Campus of the Howard Hughes Medical Institute
Navigation in flies, mosquitos and ants is an interesting scientific problem that has considerable societal importance because of their role as disease vectors. This meeting will address two important aspects of navigation: 1) how are locations and orientations in space computed, represented and used in the insect brain, and 2) how do interactions between an organism and its environment affect its ability to navigate.
Updated on May 06, 2017 01:18 AM PDT 
Workshop Bay Area Differential Geometry Seminar (BADGS) Winter 2016
Organizers: David Bao (San Francisco State University), Joel Hass (University of California, Davis), LEAD David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from midmorning until late afternoon, with 34 speakers. Lunch will be available and the final talk will be followed by dinner.
Updated on May 06, 2017 01:18 AM PDT