Current all workshops
Upcoming all workshops

Hot Topics: MIP* = RE and the Connes’ Embedding Problem
Organizers: Michael Chapman (New York University, Courant Institute), Anand Natarajan (Massachusetts Institute of Technology), William Slofstra (University of Waterloo), John Wright (University of Texas, Austin), Henry Yuen (Columbia University)This workshop is about the recent MIP*=RE result from quantum computational complexity, and the resulting resolution of the Connes embedding problem from the theory of von Neumann algebras. MIP*=RE connects the disparate areas of computational complexity theory, quantum information, operator algebras, and approximate representation theory. The aim of this workshop is to bridge this divide, by giving an indepth exposition of the techniques used in the proof of MIP*=RE, and highlighting perspectives on the MIP*=RE result from operator algebras and approximate representation theory. In particular, this workshop will highlight connections with group stability, something that has not been covered in previous workshops. In addition to increasing understanding of the MIP*=RE proof, we hope that this will open up further applications of the ideas behind MIP*=RE in operator algebras.
Updated on Aug 25, 2023 05:49 PM PDT 
Randomization, Neutrality, and Fairness
Organizers: LEAD Jonathan Mattingly (Duke University), Berk Ustun (UC San Diego), Rachel Ward (University of Texas at Austin)This workshop will look at the idea of fairness and neutrality in algorithms and decisionmaking. How it relates to the idea of randomization and how randomization can be employed in the pursuit of neutrality and fairness. The goal is both to bring together stateoftheart research and explore the implications and limitations of the deployment in the real world.
Updated on Sep 06, 2023 10:54 AM PDT 
Modern Math 2023
Updated on May 26, 2023 09:14 AM PDT 
Algorithms, Approximation, and Learning in Market and Mechanism Design
Organizers: LEAD Martin Bichler (Technical University of Munich), LEAD Péter Biró (KRTK, Eotvos Lorand Research Network)The workshop is aimed at exploring core subjects in the field of market and mechanism design, such as the design of nonconvex auction markets, the design of matching markets with preferences, algorithmic mechanism design, and learning in games. These topics are interrelated and deeply rooted in mathematics and computer science. Each day of the 4day workshop is devoted to one of these topics with talks by leading scholars in the field and panel discussions on major open problems.
Updated on Aug 24, 2023 10:00 AM PDT 
Hot Topics: Recent Progress in Deterministic and Stochastic FluidStructure Interaction
Organizers: Martina Bukac (University of Notre Dame), Suncica Canic (University of California, Berkeley), LEAD Jeffrey Kuan (University of Maryland), Justin Webster (University of Maryland, Baltimore County)This workshop will focus on the coupled dynamical interaction between fluids and elastic/poroelastic structures, with an emphasis on the most recent and cuttingedge mathematical advances in deterministic and stochastic fluidstructure interaction. The goal of this workshop is to bring together a diverse group of mathematicians in the fields of analysis, modeling, numerics, stochastics, and realworld applications in order to showcase an interdisciplinary approach to the study of coupled fluidstructure systems. A major component of this workshop will be to encourage active participation of early career researchers, such as graduate students and postdocs, and foster synergistic collaboration with established leaders in the field.
Updated on Sep 20, 2023 11:15 AM PDT 
Connections Workshop: Commutative Algebra
Organizers: Christine Berkesch (University of Minnesota, Twin Cities), Louiza Fouli (New Mexico State University), Maria Evelina Rossi (Università di Genova), LEAD Alexandra Seceleanu (University of Nebraska)This twoday workshop will feature the work of mathematicians in commutative algebra who identify as women or another marginalized gender. The talks will be appropriate for graduate students, postdocs, and researchers in areas related to the program. This meeting aims to support young researchers. The format will include plenary talks, poster sessions, panel discussions, as well as the opportunity for informal discussions and connections. The workshop is open to all mathematicians, and members of historically excluded groups and identities are especially encouraged to attend.
Updated on Nov 04, 2022 04:05 PM PDT 
Introductory Workshop: Commutative Algebra
Organizers: Srikanth Iyengar (University of Utah), Claudia Miller (Syracuse University), Claudia Polini (University of Notre Dame), LEAD Anurag Singh (University of Utah)The Introductory Workshop will feature lecture series devoted to some recent breakthrough results in commutative algebra, and to new developments in core areas of the field. It will also highlight links to other areas such as arithmetic geometry, representation theory, noncommutative geometry, and singularity theory.
Updated on Oct 31, 2022 04:02 PM PDT 
Connections Workshop: Noncommutative Algebraic Geometry
Organizers: Rina Anno (Kansas State University), Elizabeth Gasparim (Universidad Católica del Norte), LEAD Alice Rizzardo (University of Liverpool)This twoday workshop will feature the work of mathematicians in noncommutative geometry who identify as women or another marginalized gender. The talks will be appropriate for graduate students, postdocs, and researchers in areas related to the program. This meeting aims to support young researchers.
The workshop will focus on recent developments in noncommutative algebraic geometry including Derived Algebraic Geometry, Categorical and Noncommutative Resolutions, Deformation Theory, and Enumerative Geometry.
The format will include plenary talks, a poster session, panel discussions, as well as the opportunity for informal discussions and connections in noncommutative geometry. The workshop is open to all mathematicians, and members of historically excluded groups and identities are especially encouraged to attend.
Updated on Feb 06, 2023 11:36 AM PST 
Introductory Workshop: Noncommutative Algebraic Geometry
Organizers: LEAD Nicolas Addington (University of Oregon), David Favero, Wendy Lowen (Universiteit Antwerpen), Alice Rizzardo (University of Liverpool)This introductory workshop will consist of a combination of minicourses addressing core topics in noncommutative algebraic geometry and research lectures describing recent developments in the field. The workshop will focus on subjects connected to algebraic geometry, category theory, and mirror symmetry such as categorical and noncommutative resolutions, deformation theory, derived categories in algebraic geometry, derived algebraic geometry, infinity categories, and enumerative geometry.
Updated on Feb 22, 2023 03:13 PM PST 
Hot Topics: Artin Groups and Arrangements  Topology, Geometry, and Combinatorics
Organizers: Christin Bibby (Louisiana State University), Ruth Charney (Brandeis University), Giovanni Paolini (California Institute of Technology), Mario Salvetti (Università di Pisa)This workshop brings together experts from different areas to discuss and foster collaboration on several topics of current interest related to Artin groups such as the K(π, 1) conjecture, hyperplane arrangements and abelian arrangements, combinatorial structures associated with dual Coxeter systems, and complexes of nonpositive curvature.
Updated on Sep 21, 2023 03:05 PM PDT 
Recent Developments in Noncommutative Algebraic Geometry
Organizers: Arend Bayer (University of Edinburgh), Graham Leuschke (Syracuse University), Alexander Polishchuk (University of Oregon), Susan Sierra (University of Edinburgh), Spela Spenko (Université Libre de Bruxelles), Gregory Stevenson (Aarhus University)This workshop will give an overview of recent developments in noncommutative algebraic geometry, including NC projective AG, NC resolutions, semiorthogonal decompositions, enhancements of derived categories, and connections to homological mirror symmetry, to enumerative AG, to moduli spaces and to birational geometry. It will in particular focus on speakers who have built new bridges between these topics.
Updated on Nov 30, 2022 09:03 AM PST 
Recent Developments in Commutative Algebra
Organizers: Daniel Erman (University of Hawaii at Manoa), Linquan Ma (Purdue University), LEAD Karl Schwede (University of Utah), Karen Smith (University of Michigan), Andrew Snowden (University of Michigan), Irena Swanson (Purdue University)Many longstanding conjectures in commutative algebra have been solved in recent years, often through the introduction of new methods that are quickly becoming central to the field. This workshop will bring together a wide array of researchers in commutative algebra and related fields, with the goal of forging new connections among topics, and with a particular emphasis on transformative new methods.
Created on Jul 27, 2022 02:01 PM PDT 
Advances in Lie Theory, Representation Theory, and Combinatorics: Inspired by the work of Georgia M. Benkart
Organizers: Hélène Barcelo (MSRI / Simons Laufer Mathematical Sciences Institute (SLMath)), Ellen Kirkman (Wake Forest University), Gail Letzter (Retired ), Daniel Nakano (University of Georgia), Arun Ram (University of Melbourne)This workshop will have a view to the future of a broad spectrum of topics including
 structure and classification of finite dimensional Lie algebras and superalgebras in characteristic p
 structure of infinite dimensional Lie algebras and their representations
 deformation theory of algebras, double constructions and elemental Lie algebras
 diagram algebras and combinatorial representation theory
 algebraic combinatorics of groups of Lie type:characters, SchurWeyl duality, Bratteli diagrams, and McKay correspondences
 quantum groups and crystal bases, particularly for superalgebras and affine algebras
 examples of fusion categories arising from representations of Drinfeld doubles and other algebras
 cohomology for finite tensor categories with applications to its underlying geometry
This meeting will feature principal contributors in these areas in a celebration of the work of Georgia Benkart. With the same focus and tenacity that Georgia always had, we will strive to provide a conference full of beautiful mathematics, incredible inspiration, and the warmth of Georgia’s welcoming personality to our field and our community.
Updated on Aug 24, 2023 09:01 AM PDT 
Séminaire de Mathématiques Supérieures 2024: Flows and variational methods in Riemannian and Complex geometry: classical and modern methods (Montréal, Canada)
Organizers: Vestislav Apostolov (Université du Québec à Montréal), Eleonora Di Nezza (Institut de Mathématiques de Jussieu), Pengfei Guan (McGill University), Spiro Karigiannis (University of Waterloo), Julien Keller (Université du Québec à Montréal), Alina Stancu (Concordia University), Valentino Tosatti (New York University, Courant Institute)This school will present various developments in Riemannian and Kähler geometry around the notion of curvature seen as a tool to describe and understand the geometry of the objects. The school will give graduate students the opportunity to learn key ideas and techniques of the field, with an emphasis on solidifying foundations in view of potential future research. The first week will be centered around the question of the existence of Kähler metrics with special curvature properties and the famous YauTianDonaldson conjecture. The second week will focus on geometric flows in Riemannian and complex geometry.
Updated on Aug 14, 2023 12:57 PM PDT 
MSRIUP 2024: Mathematical Endocrinology
Organizers: Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Mercedes Franco (Queensborough Community College (CUNY)), Rebecca Garcia (Sam Houston State University), Candice Price (Smith College)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 2024, MSRIUP will focus on Mathematical Endocrinology. The research program will be led by Dr. Erica J. Graham, Associate Professor in the Department of Mathematics at Bryn Mawr College.
Updated on Sep 13, 2023 04:12 PM PDT 
Particle interactive systems: Analysis and computational methods (SLMath)
Organizers: LEAD Irene M. Gamba (University of Texas, Austin), Francois Golse (École Polytechnique), LEAD Qin Li (University of WisconsinMadison), Chiara Saffirio (Universität Basel)This summer school will focus on the introductory notions related to the passage of Newtonian and quantum manybody dynamics to kinetic collisional models of Boltzmann flow models arising in statistical sciences in connection to model reductions when continuum macro dynamics arises; and their numerical schemes associated to transport of kinetic processes in classical and data driven mean field dynamics incorporating recent tools from computational kinetics and data science tools. There will be two sets of lectures: “From Newton to Boltzmann to Fluid dynamics”, and “Kinetic collisional theory in mean field regimes: analysis, discrete approximations, and applications”. Each lecture series will be accompanied by a collaboration session, led by the lecturer and teaching assistants. The purpose of the collaboration sessions is to encourage and strengthen higherlevel thinking of the materials taught in the lectures and to direct further reading for interested students. Interactive learning activities will be conducted. For example, students will be given problem sets associated with the lectures and will work in small groups to discuss concepts and/or find solutions to assigned problems. The students will also be encouraged to give oral or poster presentations on their solutions or other materials relevant to the course.
Updated on Sep 01, 2023 03:41 PM PDT 
Special Geometric Structures and Analysis (St. Mary's College)
Organizers: Costante Bellettini (University College London), LEAD Eleonora Di Nezza (Institut de Mathématiques de Jussieu), Song Sun (University of California, Berkeley)This summer school will serve as an introduction to the SLMath program "Special geometric structures and analysis". There will be two minicourses: one in Geometric Measure theory and the other in Microlocal Analysis. The aim is to give the basic notions of two subjects also treated during the program.
Updated on Aug 16, 2023 12:08 PM PDT 
Introduction to QuantumSafe Cryptography (IBM Zurich)
Organizers: Jonathan Bootle (IBM Zürich Research Laboratory), Luca De Feo (IBM Zürich Research Laboratory)This two week summer school, jointly organized by SLMath with IBM Zurich, will introduce students to the mathematics and algorithms used in the design and analysis of quantumsafe cryptosystems. Each week will be dedicated to two of the four families of quantumsafe schemes.
Updated on Sep 01, 2023 04:20 PM PDT 
Stochastic Quantization (SLMath)
Organizers: Massimiliano Gubinelli (University of Oxford), Martina Hofmanova (Universität Bielefeld), LEAD Hao Shen (University of WisconsinMadison), Lorenzo Zambotti (Université de Paris VI (Pierre et Marie Curie))This summer school will familiarize students with the basic problems of the mathematical theory of Euclidean quantum fields. The lectures will introduce some of its prominent models and analyze them via the so called “stochastic quantization” methods, involving recently developed stochastic and PDE techniques. This is an area which is highly interdisciplinary combining ideas ranging from the theory of partial differential equations, to stochastic analysis, to mathematical physics. Our goal is to bring together students who are perhaps familiar with some but not all of these subjects and teach them how to integrate these different tools to solve cuttingedge problems of Euclidean quantum field theory.
Updated on Sep 22, 2023 10:32 AM PDT 
Koszul Duality in the Local Langlands Program (St. Mary's College)
Organizers: Clifton Cunningham (University of Calgary), LEAD Sarah Dijols (University of Calgary)This summer school provides the mathematical background to recognize Koszul duality in representation theory. The school is especially oriented toward applications in the local Langlands program, with an emphasis on real groups. As Koszul duality patterns have been initially observed in the context of Hecke algebras, our school will also introduce the students to Hecke algebras and their categorifications.
Updated on Sep 01, 2023 03:37 PM PDT 
Hprinciple (Sendai, Japan)
Organizers: Emmy Murphy (Princeton University), Takashi Tsuboi (RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program)This two week summer school, jointly organized by SLMath with RIKEN, 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.
hprinciples in smooth topology (Emmy Murphy)
Riemannian geometry and applications to fluid dynamics (Dominik Inauen)
Contact and symplectic flexibility (Emmy Murphy)
Foliation theory and diffeomorphism groups (Takashi Tsuboi)Updated on Aug 14, 2023 11:09 AM PDT 
Introduction to the Theory of Algebraic Curves (UC Berkeley)
Organizers: Izzet Coskun (University of Illinois, Chicago), Eric Larson (Brown University), LEAD Hannah Larson (University of California, Berkeley), Isabel Vogt (Brown University)In the last few years, there have been extraordinary developments in many aspects of curve theory. Beginning with many examples in low genus, this summer school will introduce the participants to the background behind these developments in the following areas:
 moduli spaces of stable curves
 Brill–Noether theory
 the extrinsic geometry of the curves in projective space
We will also include an introduction to some open problems at the forefront of these active areas.
Updated on Aug 17, 2023 11:37 AM PDT 
Mathematics of General Relativity and Fluids (FORTH, Greece)
Organizers: LEAD Mihalis Dafermos (Princeton University), Grigorios Fournodavlos (University of Crete), Juhi Jang (University of Southern California), Igor Rodnianski (Princeton University)This summer school will give an accessible introduction to the mathematical study of general relativity, a field which in the past has had barriers to entry due to its interdisciplinary nature, and whose study has been concentrated at specific institutions, to a wider audience of students studying at institutions throughout the U.S., Europe and Greece. Another goal of the summer school will be to demonstrate the common underlying mathematical themes in many problems which traditionally have been studied by separate research communities.
Updated on Aug 21, 2023 08:44 AM PDT 
Structure and representation theory of reductive padic groups (St. Mary's College)
Organizers: LEAD Jessica Fintzen (Universität Bonn), LEAD Tasho Kaletha (University of Michigan)The summer school is an introduction to the representation theory and harmonic analysis of reductive padic groups and will feature several lecture series covering the structure of reductive padic groups, the classification of their representations, key results from harmonic analysis, an introduction to the local Langlands conjectures, as well as connections to automorphic forms, real reductive groups, and finite groups of Lie type. Active engagement of the student through problem and Q&A sessions will be an important component. The goal is to equip students with knowledge that would help them to perform research in this area or apply these tools in nearby areas.
Updated on Aug 10, 2023 09:36 AM PDT 
Analysis of Partial Differential Equations (Okinawa Institute of Science and Technology)
Organizers: Ugur Abdulla (Okinawa Institute of Science and Technology), GuiQiang Chen (University of Oxford)This two week summer school, jointly organized by SLMath with OIST, will offer the following two minicourses:
 Measuretheoretical analysis, divergencemeasure fields, and nonlinear PDEs of divergence form
This course will present some recent developments in the theory of divergencemeasure fields via measuretheoretic analysis and its applications to the analysis of nonlinear PDEs of conservative form – nonlinear conservation laws.  Perron’s method and Wienertype criteria in the potential theory of elliptic and parabolic PDEs
This course will present some recent developments precisely characterizing the regularity of the point at ∞ for second order elliptic and parabolic PDEs and broadly extending the role of the Wiener test in classical analysis.
Updated on Aug 17, 2023 04:12 PM PDT  Measuretheoretical analysis, divergencemeasure fields, and nonlinear PDEs of divergence form

Mathematical Spin Glass Theory (Courant, NY)
Organizers: Antonio Auffinger (Northwestern University), WeiKuo Chen (University of Minnesota), LEAD Eliran Subag (Weizmann Institute of Science)While their original aim was to explain the strange behavior of certain magnetic alloys, the study of spin glass models has led to a farreaching and beautiful physical theory whose techniques have been applied to a myriad of problems in theoretical computer science, statistics, optimization and biology. As many of the physical predictions can be formulated as purely mathematical questions, often extremely hard, about large random systems in high dimensions, in recent decades a new area of research has emerged in probability theory around these problems.
Mathematically, a meanfield spin glass model is a Gaussian process (random function) on the discrete hypercube or the sphere in high dimensions. A fundamental challenge in their analysis is, roughly speaking, to understand the size and structure of their superlevel sets as the dimension tends to infinity, which are often studied through smooth objects like the free energy and Gibbs measure whose origin is in statistical physics. The aim of the summer school is to introduce students to landmark results on the latter while emphasizing the techniques an ideas that were developed to obtain them, as well as exposing the students to some recent research topics.
Updated on Aug 17, 2023 02:47 PM PDT 
Connections Workshop: New Frontiers in Curvature & Special Geometric Structures and Analysis
Organizers: SunYung Chang (Princeton University), LanHsuan Huang (University of Connecticut), Chikako Mese (Johns Hopkins University), Ilaria Mondello (Université ParisEst Créteil ValdeMarne), LEAD Guofang Wei (University of California, Santa Barbara), LEAD Xuwen Zhu (Northeastern University)This threeday workshop will consist of various talks given by prominent female mathematicians on topics of differential geometry and geometric analysis. These will be appropriate for graduate students, postdocs, and researchers in areas related to the two programs. The workshop will also include activities to promote interaction and connection between participants. This workshop is open to all mathematicians.
Updated on Sep 22, 2023 09:28 AM PDT 
Introductory Workshop: New Frontiers in Curvature
Organizers: Ailana Fraser (University of British Columbia), Karsten Grove (University of Notre Dame), Richard Schoen (University of California, Irvine), Catherine Searle (Wichita State University), LEAD Lu Wang (Yale University)This workshop will include introductory lectures on each of the four main topics of the program: geometric flows, geometric problems in mathematical relativity, global Riemannian geometry, and minimal submanifolds. The workshop will also have semiexpository lectures on recent advances and breakthroughs involving interactions between the four main topics. This will set the stage and provide important context for the semesterlong program itself.
Updated on Aug 25, 2023 05:46 AM PDT 
Introductory Workshop: Special Geometric Structures and Analysis
Organizers: Anda Degeratu (Universität Stuttgart), LEAD Eleonora Di Nezza (Institut de Mathématiques de Jussieu), Luca Spolaor (University of California, San Diego), Song Sun (University of California, Berkeley)This workshop aims to prepare the participants for the main program: Special Geometric Structures and Analysis.
There will be introductory lectures to recent results in geometry and analysis; more precisely in Kähler geometry, special holonomy, microlocal analysis and geometric measure theoryUpdated on Jun 12, 2023 09:49 AM PDT 
Recent progress on geometric analysis and Riemannian geometry
Organizers: LEAD LanHsuan Huang (University of Connecticut), Bruce Kleiner (New York University, Courant Institute), Andre Neves (Imperial College, London), Richard Schoen (University of California, Irvine), LEAD Catherine Searle (Wichita State University), Guofang Wei (University of California, Santa Barbara)This workshop will bring together researchers at the frontiers of geometric analysis and Riemannian geometry, with a focus on recent advances on geometric flows, geometric problems in mathematical relativity, global Riemannian geometry, and minimal submanifolds. These areas have shown highly intriguing interactions in recent years and we expect this workshop will provide a unique opportunity to facilitate these emerging links.
Updated on Sep 18, 2023 12:49 PM PDT 
Connections Workshop: Probability and Statistics of Discrete Structures
Organizers: Christina Goldschmidt (University of Oxford), PoLing Loh (University of Cambridge), Kavita Ramanan (Brown University), Dana Randall (Georgia Institute of Technology), LEAD Nike Sun (Massachusetts Institute of Technology)This twoday workshop will bring together researchers from discrete mathematics, probability theory, theoretical computer science, and statistics to explore topics at their interface. The focus will be on probability and statistics of random discrete structures, as well as their applications, including in computer science and physical systems. The workshop will celebrate academic and gender diversity, bringing together women and men at junior and senior levels of their careers from mathematics, physics, and computer science.
Updated on May 30, 2023 03:32 PM PDT 
Introductory Workshop: Probability and Statistics of Discrete Structures
Organizers: Louigi AddarioBerry (McGill University), LEAD Shankar Bhamidi (University of North Carolina), Christina Goldschmidt (University of Oxford), Dana Randall (Georgia Institute of Technology), Perla Sousi (University of Cambridge), Remco van der Hofstad (Technische Universiteit Eindhoven)Networks, graph driven algorithms, and dynamics on graphs such as epidemics, random walks and centrality measures all play a major role, both in our daily lives as well as many scientific and engineering disciplines. This introductory workshop will bring together experts and junior researchers in combinatorics, probability, and statistics to share a broad vision of major challenges and objectives, with a primary focus on models of random graphs and their limits, network inference, dynamic processes on networks and algorithms and optimization on random structures.
Updated on May 30, 2023 11:38 AM PDT 
Connections Workshop: Extremal Combinatorics
Organizers: Julia Boettcher (London School of Economics and Political Science), Anita Liebenau (University of New South Wales), LEAD Maya Stein (Universidad de Chile)The purpose of this workshop is to bring together promising earlycareer researchers in extremal combinatorics who are women or from underrepresented minorities so that they can meet with, forge connections with, and be inspired by the leading figures in the area. The workshop will include lectures, time for collaborative research, and an informal panel discussion session among female and minority researchers on career issues.
Updated on Apr 04, 2023 08:43 AM PDT 
Introductory Workshop  Graph Theory: Extremal, Probabilistic and Structural
Organizers: LEAD Penny Haxell (University of Waterloo), Michael Krivelevich (Tel Aviv University), Alex Scott (University of Oxford)This workshop will feature leading experts in several major areas of graph theory, including extremal, probabilistic and structural aspects of the field. Introductory lectures will form an important part of the program, providing background and motivation, and aimed at a general mathematical audience. Complementing these, research talks will share exciting recent developments in graph theory.
Updated on Mar 31, 2023 03:48 PM PDT 
Algebraic and Analytic Methods in Combinatorics
Organizers: Janos Pach (Alfréd Rényi Institute of Mathematics), Andrew Suk (University of California, San Diego), LEAD Yufei Zhao (Massachusetts Institute of Technology)Many exciting breakthroughs in combinatorics involve innovative applications of techniques from a wide range of areas such as harmonic analysis, polynomial and linear algebraic methods, spectral graph theory, and representation theory. This workshop will present recent developments in this area and facilitate discussions of research problems.
Updated on Jul 19, 2023 04:10 PM PDT 
Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory
Organizers: Dubi Kelmer (Boston College), LEAD Amir Mohammadi (University of California, San Diego), Hong Wang (New York University, Courant Institute)In recent years techniques from harmonic analysis viz. projection theorems have found striking applications in finitary analysis on homogenous spaces. Such quantitative results have many potential applications to analytic number theory. This workshop will bring together researchers in these areas to further explore these connections.
Updated on Sep 18, 2023 02:09 PM PDT 
Detection, Estimation, and Reconstruction in Networks
Organizers: PoLing Loh (University of Cambridge), Gabor Lugosi (Barcelona School of Economics), Sofia Olhede (École Polytechnique Fédérale de Lausanne (EPFL)), Roberto Oliveira (Institute of Pure and Applied Mathematics (IMPA)), LEAD Miklos Racz (Northwestern University)In a growing number of applications, one needs to analyze and interpret data coming from massive networks. The statistical problems arising from such applications lead to important mathematical challenges: building novel probabilistic models, understanding the possibilities and limitations for statistical detection and inference, designing efficient algorithms, and understanding the inherent limitations of fast algorithms. The workshop will bring together leading researchers in combinatorial statistics, machine learning, and random graphs in the hope of crossfertilization of ideas.
Updated on Aug 05, 2023 10:06 AM PDT
Past all workshops

Workshop Introductory Workshop: Mathematics and Computer Science of Market and Mechanism Design
Organizers: Scott Kominers (Harvard Business School), Paul Milgrom (Stanford University), Alvin Roth (Stanford University), Eva Tardos (Cornell University)This workshop is multifaceted. In addition to familiarizing graduate students and other junior participants to the topics of the program, the workshop will also reinforce common ground and language among computer scientists and economists and provide an onramp introduction for interested mathematicians.
Updated on Sep 14, 2023 02:08 PM PDT 
Workshop Connections Workshop: Mathematics and Computer Science of Market and Mechanism Design
Organizers: Michal Feldman (TelAviv University), LEAD Nicole Immorlica (Microsoft Research)The Connections Workshop will consist of invited talks from leading researchers at all career stages in the field of market design. Particular attention will be paid to realworld applications. There will also be an AMA focused on career paths with highly visible individuals in the field, and a social event intended to help workshop attendees network with each other.
Updated on Sep 07, 2023 08:43 AM PDT 
Workshop Introductory Workshop: Algorithms, Fairness, and Equity
Organizers: Vincent Conitzer (Carnegie Mellon University), LEAD Moon Duchin (Tufts University), Wesley Pegden (Carnegie Mellon University), Dana Randall (Georgia Institute of Technology), LEAD Soledad Villar (Johns Hopkins University)In this workshop, we will bring together speakers who are engaged in the active areas of scholarship around algorithmic fairness, the disparate impacts of facially impartial systems, and the ways that algorithms can be enmeshed in governance and decisionmaking—for better and worse. The speakers will introduce themes that will be picked up throughout the semester program on "Algorithms, Fairness, and Equity."
Updated on Sep 05, 2023 10:23 AM PDT 
Workshop Connections Workshop: Algorithms, Fairness, and Equity
Organizers: Vincent Conitzer (Carnegie Mellon University), LEAD Rachel Cummings (Columbia University), AnaAndreea Stoica (Max Planck for Intelligent Systems)The Connections Workshop will welcome participants of all genders and identities, with the scope of fostering a sense of community, amplifying voices of those who identify as women, and providing avenues to allies to be helpful. The workshop particularly aims to increase visibility among junior women in fields adjacent to the topics of the general program, including but not limited to gametheoretic fairness, mechanism design, partition, networks, redistricting, and fairness in machine learning. This twoday workshop will include keynote speakers, lightning talks from participants, panel discussions on career advancement, breakout sessions by research areas, opportunities for networking, and other mentoring activities.
Updated on Aug 30, 2023 02:37 PM PDT 
Summer Graduate School Foundations and Frontiers of Probabilistic Proofs (Zürich, Switzerland)
Organizers: Alessandro Chiesa (École Polytechnique Fédérale de Lausanne (EPFL))Proofs are at the foundations of mathematics. Viewed through the lens of theoretical computer science, verifying the correctness of a mathematical proof is a fundamental computational task. Indeed, the P versus NP problem, which deals precisely with the complexity of proof verification, is one of the most important open problems in all of mathematics.
The complexitytheoretic study of proof verification has led to exciting reenvisionings of mathematical proofs. For example, probabilistically checkable proofs (PCPs) admit localtoglobal structure that allows verifying a proof by reading only a minuscule portion of it. As another example, interactive proofs allow for verification via a conversation between a prover and a verifier, instead of the traditional static sequence of logical statements. The study of such proof systems has drawn upon deep mathematical tools to derive numerous applications to the theory of computation and beyond.
In recent years, such probabilistic proofs received much attention due to a new motivation, delegation of computation, which is the emphasis of this summer school. This paradigm admits ultrafast protocols that allow one party to check the correctness of the computation performed by another, untrusted, party. These protocols have even been realized within recentlydeployed technology, for example, as part of cryptographic constructions known as succinct noninteractive arguments of knowledge (SNARKs).
This summer school will provide an introduction to the field of probabilistic proofs and the beautiful mathematics behind it, as well as prepare students for conducting cuttingedge research in this area.
Updated on Sep 18, 2023 01:12 PM PDT 
Summer Graduate School Mathematics of Big Data: Sketching and (Multi) Linear Algebra (IBM Almaden)
Organizers: Kenneth Clarkson (IBM Research Division), Lior Horesh (IBM Thomas J. Watson Research Center), Misha Kilmer (Tufts University), Tamara Kolda (MathSci.ai), Shashanka Ubaru (IBM Thomas J. Watson Research Center)This summer school will introduce graduate students to sketchingbased approaches to computational linear and multilinear algebra. Sketching here refers to a set of techniques for compressing a matrix, to one with fewer rows, or columns, or entries, usually via various kinds of random linear maps. We will discuss matrix computations, tensor algebras, and such sketching techniques, together with their applications and analysis.
Updated on Nov 03, 2022 11:59 AM PDT 
Summer Graduate School Concentration Inequalities and Localization Techniques in High Dimensional Probability and Geometry (SLMath)
Organizers: Max Fathi (Université Paris Cité), Dan Mikulincer (Massachusetts Institute of Technology)The goal of the summer school is for the students to first become familiar with the concept of concentration of measure in different settings (Euclidean, Riemannian and discrete), and the main open problems surrounding it. The students will later become familiar with the proof techniques that involve the different types of localization and obtain expertise on the ways to apply the localization techniques. After attending the graduate school, the students are expected to have the necessary background that would give them a chance to both conduct research around open problems in concentration of measure, find new applications to existing localization techniques and perhaps also develop new localization techniques.
Updated on Jul 18, 2023 08:26 AM PDT 
Summer Graduate School Machine Learning (UC San Diego)
Organizers: Ery AriasCastro (University of California, San Diego), Mikhail Belkin (University of California, San Diego), Yusu Wang (Univ. California, San Diego), Lily Weng (University of California, San Diego)The overarching goal of this summer school is to expose the students both to modern forms of unsupervised learning — in the form of geometrical and topological data analysis — and to supervised learning — in the form of (deep) neural networks applied to regression/classification problems. The organizers have opted for a lighter exposure to a broader range of topics. Using the metaphor of a meal, we are offering 2 + 2 samplers — geometry and topology for data analysis + theoretical and practical deep learning — rather than 1 + 1 main dishes. The main goal, thus, is to inspire the students to learn more about one or several of the topics covered in the school.
The expected learning outcomes for students attending the school are the following:
1. An introduction to how concepts and tools from geometry and topology can be leveraged to perform data analysis in situations where the data are not labeled.
2. An introduction to recent and ongoing theoretical and methodological/practical developments in the use of neural networks for data analysis (deep learning).
Updated on Aug 29, 2023 11:59 AM PDT 
Summer Graduate School Introduction to Derived Algebraic Geometry (UC Berkeley)
Organizers: Benjamin Antieau (Northwestern University), Dmytro Arinkin (University of WisconsinMadison)Derived algebraic geometry is an ‘update’ of algebraic geometry using ‘derived’ (roughly speaking, homological) techniques. This requires recasting the very foundations of the field: rings have to be replaced by differential graded algebras (or other forms of derived rings), categories by higher categories, and so on. The result is a powerful set of new tools, useful both within algebraic geometry and in related areas. The school serves as an introduction to these techniques, focusing on their applications.
The school is built around two related courses on geometric (‘derived spaces’) and categorical (‘derived categories’) aspects of the theory. Our goal is to explain the key ideas and concepts, while trying to keep technicalities to a minimum.
Updated on Jun 28, 2023 04:05 PM PDT 
Summer Graduate School Topics in Geometric Flows and Minimal Surfaces (St. Mary's College)
Organizers: Ailana Fraser (University of British Columbia), LanHsuan Huang (University of Connecticut), Catherine Searle (Wichita State University), Lu Wang (Yale University)This graduate summer school will introduce students to two important and interrelated fields of differential geometry: geometric flows and minimal surfaces.
Geometric flows have had far reaching influences on numerous branches of mathematics and other scientific disciplines. An outstanding example is the completion of Hamilton’s Ricci flow program by Perelman, leading to the resolution of the Poincare conjecture and Thurston’s geometrization conjecture for 3manifolds. In this part of the summer school, students will be guided through basic topics and ideas in the study of geometric flows.
Since Penrose used variations of volume to formulate and study black holes in general relativity (in his Nobel prizewinning work), the intriguing connections between minimal surfaces and general relativity have been a strong driving force for the modern developments of both research areas. This part of the summer school will introduce students to the basic theory of minimal submanifolds and its applications in Riemannian geometry and general relativity.
The curriculum of this program will be accessible and will have a broad appeal to graduate students from a variety of mathematical areas, introducing some of the latest developments in each area and the remaining open problems therein, while simultaneously emphasizing their synergy.
Updated on Jun 29, 2023 10:56 AM PDT 
Summer Graduate School Séminaire de Mathématiques Supérieures 2023: Periodic and Ergodic Spectral Problems (Montréal, Canada)
Organizers: Alexander Elgart (Virginia Polytechnic Institute and State University), Vojkan Jaksic (McGill University), Svetlana Jitomirskaya (University of California, Irvine), Ilya Kachkovskiy (Michigan State University), Jean Lagacé (King's College London), Leonid Parnovski (University College London)This two week school will focus on spectral theory of periodic, almostperiodic, and random operators. The main aim of this school is to teach the students who work in one of these areas, methods used in parallel problems, explain the similarities between all these areas and show them the `big picture'.
Updated on Apr 06, 2023 06:24 PM PDT 
Summer Graduate School Mathematics and Computer Science of Market and Mechanism Design (SLMath)
Organizers: Yannai Gonczarowski (Harvard University), Irene Lo (Stanford University), Ran Shorrer (Pennsylvania State University), LEAD Inbal TalgamCohen (TechnionIsrael Institute of Technology)This school is associated with an upcoming research program at MSRI under the same title. The goal of the school is to equip students unfamiliar with these topics with the mathematical and theoretical computer science toolbox that forms the foundation of market and mechanism design.
Updated on Jun 28, 2023 01:19 PM PDT 
Summer Graduate School Algebraic Methods for Biochemical Reaction Networks (Leipzig, Germany)
Organizers: Timo de Wolff (TU Braunschweig), LEAD Alicia Dickenstein (University of Buenos Aires), Elisenda Feliu (University of Copenhagen)The aim of the course is to learn how tools from algebraic geometry (in particular, from computational and real algebraic geometry) can be used to analyze standard models in molecular biology. Particularly, these models are key ingredients in the development of Systems and Synthetic biology, two active research areas focusing on understanding, modifying, and implementing the design principles of living systems.
We will focus on the mathematical aspects of the methods, and exemplify and apply the theory to real networks, thereby introducing the participants to relevant problems and mechanisms in molecular biology. As a counterpart, however, the participants will also see how this field has in the past challenged current methods, mainly in the realm of real algebraic geometry, and has given rise to new general and purely theoretical results on polynomial equations. We will end our lectures with an overview of open questions in both fields.
Updated on Jun 15, 2023 08:39 AM PDT 
MSRIUP MSRIUP 2023: Topological Data Analysis
Organizers: Federico Ardila (San Francisco State University), LEAD Maria Mercedes Franco (Queensborough Community College (CUNY)), Rebecca Garcia (Sam Houston State University), Jose Perea (Northeastern University), Candice Price (Smith College), Robin Wilson (Loyola Marymount University)The MSRIUP summer program is designed to serve a diverse group of undergraduate students who would like to conduct research in the mathematical sciences.
In 2023, MSRIUP will focus on Topological Data Analysis. The research program will be led by Dr. Jose Perea, Associate Professor in the Department of Mathematics and the Khoury College of Computer Sciences at Northeastern University.
Updated on Mar 20, 2023 08:50 AM PDT 
Summer Graduate School Formalization of Mathematics (SLMath)
Organizers: Jeremy Avigad (Carnegie Mellon University), Heather Macbeth (Fordham University at Lincoln Center), Patrick Massot (Université ParisSaclay)Computational proof assistants now make it possible to develop global, digital mathematical libraries with theorems that are fully checked by computer. This summer school will introduce students to the new technology and the ideas behind it, and will encourage them to think about the goals and benefits of formalized mathematics. Students will learn to use the Lean interactive proof assistant, and by the end of the session they will be in a position to formalize mathematics on their own, join the Lean community, and contribute to its mathematical library.
Updated on Jun 15, 2023 03:45 PM PDT 
Summer Graduate School Commutative Algebra and its Interaction with Algebraic Geometry (Notre Dame)
Organizers: Steven Cutkosky (University of Missouri), LEAD Claudia Polini (University of Notre Dame), Claudiu Raicu (University of Notre Dame), Steven Sam (University of California, San Diego), Kevin Tucker (University of Illinois at Chicago)Commutative Algebra has seen an extraordinary development in the last few years. Long standing conjectures have been proven and new connections to different areas of mathematics have been built.This summer graduate school will consist of three minicourses (5 lectures each) on fundamental topics in commutative algebra that are not covered in the standard courses. Each course will be accompanied by problem sessions focused on research. Five general colloquiumstyle lectures will be given by invited scholars who will also attend the school and help with afternoon research activities.
Updated on Mar 20, 2023 01:33 PM PDT 
MSRIUP Mathematically Advancing Young Undergraduates Program (MAYUP) [2023 Pilot Program]
Organizers: Duane Cooper (Morehouse College), Shelby Wilson (Morehouse College; Johns Hopkins University Applied Physics Lab)2023 Pilot Program: The goal of MAYUP is to provide students with a glimpse into Linear Algebra; and the ways in which this topic may arise both theoretically and computationally in their future studies. Material will include an introduction to matrices as well as basic matrix operations. We will also provide students with introductory programming skills in Python, including development environment setup and matrix manipulations via code.
Updated on Jun 06, 2023 11:33 AM PDT 
Workshop May 12, a Celebration for Women in Mathematics (2023)
Organizers: Ini Adinya (University of Ibadan), Masha Albrecht (Berkeley High School), Romina Arroyo (Universidad Nacional de Cordoba), MariaGrazia Ascenzi (University of California Los Angeles), Mirela Ciperiani (University of Texas, Austin), Donatella Danielli (Arizona State University), Shanna Dobson (University of California, Riverside), Malena Espanol (Arizona State University), Olubunmi FadipeJoseph (University of Ilorin), Anna Fino (Università di Torino), Natalia GarciaFritz (Pontificia Universidad Católica de Chile), Adi Glucksam (Northwestern University), M.E. Hogan (Texas Tech University), KueiNuan Lin (Pennsylvania State University), Zheng Liu (University of California, Santa Barbara), Liangbing Luo (Lehigh University), LEAD Ornella Mattei (San Francisco State University), Julia Plavnik (Indiana University), Palina Salanevich (Universiteit Utrecht), Ramdorai Sujatha (University of British Columbia)The Simons Laufer Mathematical Sciences Institute (SLMath), formerly MSRI, celebrates May 12 with a panel discussion and social event open to all on the topic "Pathways in Mathematics". This is a hybrid event taking place on Zoom and in person at SLMath and satellite institutions.
Updated on May 17, 2023 02:43 PM PDT 
Workshop Degeneracy of Algebraic Points
Organizers: Jennifer Balakrishnan (Boston University), LEAD Mirela Ciperiani (University of Texas, Austin), Philipp Habegger (University of Basel), Wei Ho (Institute for Advanced Study), Hector Pasten (Pontificia Universidad Católica de Chile), Yunqing Tang (University of California, Berkeley), ShouWu Zhang (Princeton University)In recent years, a number of techniques have led to outstanding progress on LangVojta conjectures, such as the Subspace Theorem, padic approaches to finiteness, and modular methods. Similarly, spectacular progress has been achieved on unlikely intersection conjectures thanks to new methods and tools, such as height formulas for special points, connections to model theory, refined counting results, and new theorems of AxShanuel type (bialgebraic geometry). The goal of this workshop is to create the opportunity for these two groups to interact, to share their techniques, to update on the most recent progress, and to attack the outstanding open questions in the field.
Updated on May 15, 2023 09:42 AM PDT 
Workshop MSRI / SLMath 40th Anniversary Symposium
Organizers: Hélène Barcelo (MSRI / Simons Laufer Mathematical Sciences Institute (SLMath)), Charles Fefferman (Princeton University), Dan Freed (Harvard University), Kristin Lauter (Facebook AI Research (FAIR) North America at Meta), Dusa McDuff (Barnard College), Andrei Okounkov (Columbia University; University of California, Berkeley), Tatiana Toro (MSRI / Simons Laufer Mathematical Sciences Institute (SLMath))In 202223, SLMath (formerly MSRI) celebrates 40 years of serving the mathematical sciences community through our topicfocused programs and workshops, and the general public via our national and global outreach initiatives. Director Tatiana Toro and Deputy Director Hélène Barcelo invite the community to join us for a symposium to reflect upon these four decades of extraordinary activity. This celebration will feature special guest speakers, panel discussions and an evening reception.
Updated on Sep 14, 2023 05:24 PM PDT 
Workshop Critical Issues in Mathematics Education 2023: Mentoring for Equity
Organizers: Pamela Harris (University of WisconsinMilwaukee), Abbe Herzig (TPSEMath), LEAD Aris Winger (Georgia Gwinnett College), Michael Young (Carnegie Mellon University)The workshop Critical Issues in Mathematics Education: Mentoring for Equity aims to reach a broad audience of faculty and students in postsecondary mathematical sciences. Participants will learn about the evidence base for effective mentoring, with a focus on culturally responsive mentoring that supports all students and faculty along their mathematical paths. The workshop includes a combination of discussion of research evidence, review and adaptation of practical tools, and explicit training in effective mentoring, including how to bring these tools back to participants’ home institutions. The workshop intertwines objectives of increasing participants’ knowledge of the scholarship on effective mentoring, and engages participants in interactive activities to develop tangible skills as mentors and as mentortrainers. Participants should come with a growth mindset, prepared to reflect on their experiences as mentors and mentees, and actively contribute to activities that build skills for implementing best mentoring practices. This workshop will cultivate local and national mentoring communities that bring effective tools and strategies to mentoring, so that mentees can persist and thrive in research, teaching, education, and throughout their education and careers. One focus will be on addressing the individual mentoring needs of all faculty and students, including those who have been historicallymarginalized in mathematics education and careers.
Updated on Mar 30, 2023 01:00 PM PDT 
Workshop Shimura Varieties and LFunctions
Organizers: Michael Harris (Columbia University), David Loeffler (University of Warwick), Elena Mantovan (California Institute of Technology), Christopher Skinner (Princeton University), Sarah Zerbes (ETH Zürich), LEAD Wei Zhang (Massachusetts Institute of Technology)The topical workshop will be dedicated to Shouwu Zhang, to mark the occasion of his 60th birthday, and to honour his numerous beautiful contributions to the theory of Shimura varieties and special values of Lfunctions. It will highlight cutting edge work on topics such as the construction of Euler systems; relations between special cycles on Shimura varieties and Lfunctions, such as generalized GrossZagier formulas and the Tate conjecture; the construction of Galois representations in cohomology; and related aspects of the theory of automorphic forms.
Updated on Mar 30, 2023 12:40 PM PDT 
Workshop Introductory Workshop: Diophantine Geometry
Organizers: Hector Pasten (Pontificia Universidad Católica de Chile), Yunqing Tang (University of California, Berkeley), LEAD ShouWu Zhang (Princeton University)This will be a hybrid workshop with both inperson and virtual participation.
This workshop will feature expository lectures about current developments in Diophantine geometry. This includes the uniform Mordell—Lang for rational points on curves, the Andre—Oort conjecture for special points on Shimura varieties, and effective results via Chabauty method, and related topics in Arakelov theory, unlikely intersections, arithmetic statistics, arithmetic dynamics, and padic Hodge theory.
Updated on Feb 24, 2023 12:21 PM PST 
Workshop Connections Workshop: Diophantine Geometry
Organizers: Jennifer Balakrishnan (Boston University), LEAD Yunqing Tang (University of California, Berkeley)This will be a hybrid workshop with both inperson and virtual participation.
This workshop will highlight talks on various aspects of Diophantine Geometry. The goal of the workshop is to bring together researchers at different career stages and of various backgrounds in order to establish new collaborations and mentoring relationships. Although we will showcase the research of mathematicians who identify as women or gender minorities, this workshop is open to all.
Updated on Feb 10, 2023 12:45 PM PST 
Workshop Introductory Workshop: Algebraic Cycles, LValues, and Euler Systems
Organizers: Henri Darmon (McGill University), LEAD Ellen Eischen (University of Oregon), Benjamin Howard (Boston College), Elena Mantovan (California Institute of Technology)This will be a hybrid workshop with both inperson and virtual participation.
The Introductory Workshop aims to provide a coherent overview of current research in algebraic cycles, Lvalues, Euler systems, and the many connections between them. This includes the study of special cycles on Shimura varieties and moduli spaces of shtukas, integral representations of Lvalues and the construction of padic Lfunctions, and the construction of Euler systems from special elements in Chow groups or higher Chow groups of Shimura varieties. Workshop lectures will be organized into short lecture series, so as to allow each series to begin with expository lectures on foundational results before moving on to current research. This workshop is held in honor of mathematician Bernadette PerrinRiou.
Updated on Feb 09, 2023 01:40 PM PST 
Workshop Connections Workshop: Algebraic Cycles, LValues, and Euler Systems
Organizers: Henri Darmon (McGill University), Ellen Eischen (University of Oregon), Benjamin Howard (Boston College), LEAD Elena Mantovan (California Institute of Technology)This will be a hybrid workshop with both inperson and virtual participation.
The Connections Workshop features presentations by both leading researchers and promising newcomers whose research has contact with the interrelated topics of algebraic cycles, Lvalues, and Euler systems. The goal is to present a variety of diverse results, so as to forge new connections, foster collaborative projects, and establish mentoring relationships. While emphasis will be placed on the work of women mathematicians, the workshop is open to all researchers. This workshop is held in honor of mathematician Bernadette PerrinRiou.
Updated on Jan 27, 2023 02:45 PM PST 
Workshop [HYBRID WORKSHOP] Floer Homotopical Methods in Low Dimensional and Symplectic Topology
Organizers: LEAD Mohammed Abouzaid (Columbia University), Andrew Blumberg (Columbia University), Jennifer Hom (Georgia Institute of Technology), Emmy Murphy (Princeton University), Sucharit Sarkar (University of California, Los Angeles)This will be a hybrid workshop with inperson participation only available to members of the semesterlong program and invited guests. Online participation will be open to all who register. Due to limited capacity, mathematicians who have not received an official invitation will not be permitted to enter the institute.
The workshop will focus on the interaction between homotopy theory and symplectic topology and low dimensional topology that is mediated by Floer theory. Among the topics covered are foundational questions, applications to concrete geometric questions, and the relationship with finite dimensional approaches.
Updated on Nov 23, 2022 09:29 AM PST 
Workshop Modern Math Workshop 2022
Organizers: Hélène Barcelo (MSRI / Simons Laufer Mathematical Sciences Institute (SLMath)), Philip Hammer (Institute for Mathematical and Statistical Innovation), Christian Ratsch (University of California, Los Angeles; Institute of Pure and Applied Mathematics (IPAM)), Ulrica Wilson (Morehouse College; Institute for Computational and Experimental Research in Mathematics (ICERM))ALL FUNDING FOR THIS WORKSHOP HAS BEEN ALLOCATED
As part of the Mathematical Sciences Collaborative Diversity Initiatives, the six NSFfunded U.S. mathematics institutes will host their annual SACNAS preconference event, the 2022 Modern Math Workshop (MMW). The Modern Math Workshop encourages undergraduates from underrepresented groups to pursue careers in the mathematical sciences, and builds research and networking opportunities among undergraduates, graduate students and recent PhDs.
Updated on Nov 29, 2022 08:49 AM PST 
Workshop [HYBRID WORKSHOP] New FourDimensional Gauge Theories
Organizers: Andriy Haydys (Université Libre de Bruxelles), Lotte Hollands (HeriotWatt University, Riccarton Campus), LEAD ElenyNicoleta Ionel (Stanford University), Richard Thomas (Imperial College, London), Thomas Walpuski (HumboldtUniversität)This will be a hybrid workshop with inperson participation only available to members of the semesterlong program and invited guests. Online participation will be open to all who register. Due to limited capacity, mathematicians who have not received an official invitation will not be permitted to enter the institute.
This workshop will bring together researchers working on new fourdimensional gauge theories from the perspectives of differential geometry, algebraic geometry, and physics. Over the last 25 years, physicists have made tantalizing conjectures relating the Vafa–Witten equation to modular forms and the Kapustin–Witten and Haydys–Witten equations to knot theory and the geometric Langlands programme. The analytical challenges in the way of establishing these predictions are now being pursued vigorously. More recently, algebraic geometers have had enormous success in confirming and refining Vafa–Witten's predictions for projective surfaces. The workshop will serve as a platform for reporting on recent progress and exchanging ideas in all of these areas, with the aim of strengthening existing and fostering new interactions.
Updated on Nov 01, 2022 09:11 AM PDT 
Workshop [HYBRID WORKSHOP] Introductory Workshop: Floer Homotopy Theory
Organizers: Sheel Ganatra (University of Southern California), Tyler Lawson (University of Minnesota Twin Cities), LEAD Robert Lipshitz (University of Oregon), Nathalie Wahl (University of Copenhagen)This will be a hybrid workshop with inperson participation by members of the semesterlong program and speakers. Online participation will be open to all who register.
Over the last decade, there has been a wealth of new applications of homotopytheoretic techniques to Floer homology in lowdimensional topology and symplectic geometry, including Manolescu’s disproof of the highdimensional Triangulation Conjecture and AbouzaidBlumberg’s proof of the Arnol’d Conjecture in finite characteristic. Conversely, results in Floer theory and categorification have opened new directions of research in homotopy theory, from string topology to SLie algebras. The goal of this workshop is to introduce researchers in Floer theory to modern techniques and questions in homotopy theory and, conversely, introduce researchers in homotopy theory to ideas underlying Floer theory and its applications.
Updated on Sep 15, 2022 10:52 AM PDT