Home 
/ /
 Upcoming 

Upcoming Scientific Events

  1. Workshop Simons Institute for the Theory of Computing and SLMath Joint Workshop: AI for Mathematics and Theoretical Computer Science

    Organizers: LEAD Jeremy Avigad (Carnegie Mellon University), Maria Ines de Frutos Fernandez (Hausdorff Research Institute for Mathematics, University of Bonn), Marijn Heule (Carnegie Mellon University), Floris van Doorn (Universität Bonn), Adam Wagner (Worcester Polytechnic Institute)
    Logo2

    This is an exciting time for mathematics, as new technologies for mathematical reasoning provide novel opportunities for mathematical research, communication, and discovery. Mathlib, a library of formal mathematics, now contains one-and-a-half million lines of code. Important results like the proof of polynomial Freiman-Ruzsa conjecture by Gowers, Green, Manners, and Tao and the exponential improvement to the upper bound on Ramsey's theorem by Campos, Griffiths, Morris, and Sahasrabudhe were formally verified in the Lean proof assistant even before they were accepted to journals. Open problems in combinatorics have been solved with the help of automated reasoning, and AI introduced by Deepmind was deemed to have performed at the level of a silver medalist at the most recent International Mathematical Olympiad.

    This workshop will introduce mathematicians and theoretical computer scientists to the technologies that underlie these recent successes, namely, proof assistants, automated reasoning, and machine learning. Talks each morning will survey exciting results in the field, and in the afternoons, we will help participants experiment with the tools to get a sense of what they do. We will also encourage participants to think about how they can use the new technologies in their research.

    Updated on Dec 12, 2024 08:49 AM PST
  2. Seminar PSDS & EC Joint Seminar

    Updated on Feb 06, 2025 01:34 PM PST
  3. Seminar EC Seminar

    Updated on Mar 19, 2025 10:27 AM PDT
  4. Seminar EC Seminar

    Updated on Mar 19, 2025 10:28 AM PDT
  5. Seminar EC Seminar

    Updated on Mar 19, 2025 10:30 AM PDT
  6. Seminar EC Seminar

    Updated on Mar 19, 2025 10:32 AM PDT
  7. Seminar EC Seminar

    Updated on Mar 19, 2025 10:33 AM PDT
  8. Seminar PSDS Seminar

    Updated on Feb 06, 2025 01:52 PM PST
  9. Seminar PSDS & EC Joint Seminar

    Updated on Feb 06, 2025 01:34 PM PST
  10. Seminar EC Seminar

    Updated on Feb 06, 2025 01:30 PM PST
  11. Seminar PSDS Seminar

    Updated on Feb 06, 2025 01:52 PM PST
  12. Workshop Detection, Estimation, and Reconstruction in Networks

    Organizers: Po-Ling Loh (University of Cambridge), Gábor Lugosi (ICREA), Sofia Charlotta Olhede (École Polytechnique Fédérale de Lausanne (EPFL)), Roberto Oliveira (Institute of Pure and Applied Mathematics (IMPA)), LEAD Miklós Rácz (Northwestern University)
    Image
    Recovering communities in a network.

    In a growing number of applications, one needs to analyze and interpret data coming from massive networks. The statistical problems arising from such applications led 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 cross-fertilization of ideas.

    Updated on Mar 27, 2025 10:27 AM PDT
  13. Seminar PSDS & EC Joint Seminar

    Updated on Feb 06, 2025 01:34 PM PST
  14. Seminar PSDS Seminar

    Updated on Feb 06, 2025 01:52 PM PST
  15. Seminar EC Seminar

    Updated on Feb 06, 2025 01:30 PM PST
  16. Workshop 2025 Workshop on the Mathematics of Quantitative Justice

    Organizers: Nathan Alexander (Howard University), Ron Buckmire (Marist College), Carrie Diaz Eaton (Bates College), Kari Kokka (University of Nevada, Las Vegas), Omayra Ortega (Sonoma State University), Victor Piercey (Ferris State University), Robin Wilson (California State Polytechnic University, Pomona), Tian An Wong (University of British Columbia)
    Img 1786

    Mathematics is often viewed as one of the main tools responsible for scientific progress, and developments in mathematics are behind some of society’s most significant technological advancements. More recently, mathematicians have increasingly been addressing issues of quantitative justice in their research, their teaching, and their institutions. Quantitative justice is a field that uses the tools of mathematics to interrogate and address the inequities faced by marginalized communities. This workshop is a part of that movement and will bring together mathematicians, statisticians, computer scientists, STEM educators, and members of the general public interested in using the tools of these disciplines to critically examine and address fairness and disparities in society.

    Updated on Mar 27, 2025 01:28 PM PDT
  17. Seminar EC Seminar

    Updated on Feb 06, 2025 01:30 PM PST
  18. Seminar PSDS Seminar

    Updated on Feb 06, 2025 01:53 PM PST
  19. Summer Graduate School Local Limits of Random Graphs (Paris-Saclay University, France)

    Organizers: Ainhoa Aparicio-Monforte (Fondation Mathématique Jacques Hadamard (FMJH)), Alexandra Genesco (Fondation Mathématique Jacques Hadamard (FMJH)), LEAD Pascal Massart (Fondation Mathématique Jacques Hadamard (FMJH))
    1099 image
    <p>A display of the evolution of an Erdos-Renyi random graph .&nbsp;</p>

    Random graphs are ubiquitous in modern probability theory. Besides their intrinsic mathematical beauty, they are also used to model complex networks. In the early 2000’s, I. Benjamini and O. Schramm introduced a mathematical framework in which they endowed the set of locally finite rooted connected graphs with the structure of a Polish space, called the local topology. The goal of this summer school is to introduce the framework of local limits of random graphs, the concepts of Benjamini-Schramm (or unbiased) limits and unimodularity, as well as the most important applications. The lectures will be delivered by Nicolas Curien (Prof. Paris-Saclay University) and Justin Salez (Prof. Université Paris-Dauphine) and will be complemented by many problem sessions, where students will work in small groups under the guidance of teaching assistants, who are researchers in the field. 

    Updated on Jul 12, 2024 01:18 PM PDT
  20. Summer Graduate School 2025 PIMS-CRM Summer School in Probability (Vancouver, Canada)

    Organizers: Louigi Addario-Berry (McGill University), Omer Angel (University of British Columbia), Mathav Murugan (University of British Columbia), Gordon Slade (University of British Columbia)

    The Summer Schools in Probability are a highlight of Canadian probability and are internationally significant.  Launched by PIMS in 2004, the school takes the form of two main 4-week courses along with three mini-courses. The schools have played a major role in the development of an exceptionally strong community of young probabilist in Canada, North America and overseas. This will be the 13th time this school has run.

    Updated on Feb 19, 2025 03:30 PM PST
  21. Summer Graduate School Séminaire de Mathématiques Supérieures 2025: An Introduction to Recent Trends in Commutative Algebra (Toronto, Canada)

    Organizers: Sergio Da Silva (Virginia State University), Federico Galetto (Cleveland State University), Elena Guardo (Università di Catania), Megumi Harada (McMaster University), Patricia Klein (Texas A & M University), Jenna Rajchgot (McMaster University), Adam Van Tuyl (McMaster University)
    1078 image
    <p>A minimal free resolution supported on a simplicial complex</p>

    The 2025 SMS will allow graduate students to learn about a number of recent trends and advances in the field of commutative algebra. The aim of the SMS is to provide an “on-ramp” for graduate students interested in algebra, combinatorics, and/or algebraic combinatorics to learn more about commutative algebra’s interaction with these fields. The introductory courses will introduce fundamental skills in commutative algebra, the more intermediate courses will expose students to cutting-edge research in the field. The school will focus on four topics within commutative algebra: Combinatorial Methods, Homological Methods, Computational Methods, and Characteristic p Methods. The SMS will provide both a series of introductory lectures and intermediate/advanced lectures from leaders in one of the four areas. The lectures will include a series of problem sessions that will allow participants to develop and hone their skills in these areas, which will be especially helpful for new people to the field. Participants will be encouraged to work collaboratively, both to enhance their own mathematical networks as well as to promote future collaborations beyond the school.

    Updated on Feb 19, 2025 04:14 PM PST
  22. Summer Research in Mathematics 2025 Summer Research in Mathematics

    SLMath's Summer Research in Mathematics (SRiM) program provides space, funding, and the opportunity for in-person collaboration to small groups of mathematicians, whose ongoing research may have been disproportionately affected by various obstacles including family obligations, professional isolation, or access to funding. Through this effort, SLMath aims to mitigate the obstacles faced by these groups, improve the odds of research project completion, and deepen their research experience. The ultimate goal of this program is to enhance the mathematical sciences as a whole by positively affecting the research and careers of all of its participants and assisting their efforts to maintain involvement in the research community.

    Updated on Jan 28, 2025 01:37 PM PST
  23. Summer Graduate School Statistical Optimal Transport (SLMath)

    Organizers: LEAD Promit Ghosal (Brandeis University), Jonathan Niles Weed (New York University, Courant Institute), Marcel NUTZ (Columbia University)
    Image

    This summer school offers an exceptional opportunity for participants to delve into the intricate realm of statistical optimal transport theory. This captivating field stands at the crossroads of multiple disciplines, drawing from a rich tapestry of mathematical insights from diverse subjects, including partial differential equations, stochastic analysis, convex geometry, statistics, and machine learning, crafting a vibrant and interdisciplinary landscape. The foremost objective of this summer school is to create a dynamic learning environment that unites students from diverse backgrounds such as PDE theory, probability, or optimal transport. 

    Updated on Oct 18, 2024 10:27 AM PDT
  24. MSRI-UP MSRI-UP 2025: Quantitative Justice

    Organizers: Alexander Diaz-Lopez (Villanova University), Maria Mercedes Franco (Queensborough Community College (CUNY)), Rebecca Garcia (Colorado College), Omayra Ortega (Sonoma State University), Candice Price (Smith College), LEAD Robin Wilson (California State Polytechnic University, Pomona)

    The MSRI-UP summer program is designed to serve a diverse group of undergraduate students who would like to conduct research in the mathematical sciences.

    In 2025, MSRI-UP will focus on Quantitative Justice. The research program will be led by Dr. Omayra Y. Ortega, Associate Professor in the Department of Mathematics at Sonoma State University.

    Updated on Mar 19, 2025 12:18 PM PDT
  25. Summer Graduate School Mathematics of Climate, Sea Ice, and Polar Ecosystems (Fairbanks, Alaska)

    Organizers: Kenneth Golden (University of Utah), Jody Reimer (University of Utah)
    Poster image
    From micro to macro, sea ice supports life in the polar regions. Left: illustration of the porous sea ice microstructure, home to a microbial community of ice endemic organisms including bacteria and algae. Right: two penguins on Antarctic sea ice.

    In this summer school, students will be introduced to mathematical and computational modeling of sea ice and polar ecosystems in a warming climate. As a material, sea ice is a multiscale composite structured on length scales ranging from tenths of millimeters to tens of kilometers. From tiny brine inclusions and surface melt ponds of increasing complexity, to ice floes of varying sizes in a seawater host, a principal challenge is how to find sea ice effective properties that are relevant to larger scale climate and process models, given data on smaller scale structures. Similarly, the sea ice ecosystem ranges from algae living in the brine inclusions to charismatic megafauna like penguins and polar bears, whose diets depend critically, down the line, on the tiny sea ice extremophiles. The dynamics of sea ice microbial communities are regulated by the physics of the ice microstructure, and, in turn, many of these microbes modify their environment by secreting extracellular polymeric substances. In addition to sea ice and its ecosystems, we will consider mathematical modeling of the broader climate system, including energy balance models, climate and ecological tipping points, and global circulation models.

    Updated on Sep 06, 2024 02:19 PM PDT
  26. Summer Graduate School Graphical Models in Algebraic Combinatorics (SLMath)

    Organizers: Christian Gaetz (University of California, Berkeley), David Keating (University of Illinois at Urbana-Champaign), Melissa Sherman-Bennett (University of California, Davis), LEAD Anna Weigandt (University of Minnesota)
    1121 image
    <p>A plane partition and an hourglass plabic graph</p>

    This school will introduce students to a range of powerful combinatorial tools used to understand algebraic objects ranging from the homogeneous coordinate ring of the Grassmannian to symmetric functions.   The summer school will center around two main lecture series "Webs and Plabic Graphs" and "Vertex Models and Applications".   While the exact applications differ, both courses will center on graphical models for algebraic problems closely related to Grassmannian and its generalizations.  This school will be accessible to a wide range of students.  Students will leave the school with a solid grasp of the combinatorics of webs, plabic graphs, and the six-vertex model, an understanding of their algebraic applications, and a taste of current research directions.

    Updated on Mar 28, 2025 02:04 PM PDT
  27. Summer Graduate School New Perspectives on Discriminants and Applications (Leipzig, Germany)

    Organizers: Eliana Duarte (Centro de Matemática da Universidade do Porto), Serkan Hosten (San Francisco State University), Simon Telen (Max-Planck-Institut)
    1129 image
    <p>The discriminant ∆ detects singular varieties. The picture shows three different scenarios: solutions of quadratic polynomials, cubic plane curves and cubic surfaces.</p>

    This summer school will offer a hands-on introduction to discriminants, with a view towards modern applications. Starting from the basics of computational algebraic geometry and toric geometry, the school will gently introduce participants to the foundations of discriminants. A particular emphasis will be put on computing discriminants of polynomial systems using computer algebra software. Then, we will dive into three applications of discriminants: algebraic statistics, geometric modeling, and particle physics. Here, discriminants contribute to the study of maximum likelihood estimation, to finding practical parametrizations of geometric objects, and to computations of scattering amplitudes. We will explain recently discovered unexpected connections between these three applications. In addition to lectures, the summer school will have daily collaborative exercise sessions which will be guided by the teaching assistants and will include software demonstrations.

    Updated on Aug 26, 2024 11:54 AM PDT
  28. African Diaspora Joint Mathematics ADJOINT 2025

    ADJOINT is a yearlong program that provides opportunities for U.S. mathematicians to conduct collaborative research on topics at the forefront of mathematical and statistical research. Participants will spend two weeks taking part in an intensive collaborative summer session at SLMath. The two-week summer session for ADJOINT 2025 will take place June 30 - July 11, 2025 in Berkeley, California. Researchers can participate in either of the following ways: (1) joining ADJOINT small groups under the guidance of some of the nation's foremost mathematicians and statisticians to expand their research portfolio into new areas, or (2) applying to Self-ADJOINT as part of an existing or newly-formed independent research group ((three-to-five participants is preferred) to work on a new or established research project. Throughout the following academic year, the program provides conference and travel support to increase opportunities for collaboration, maximize researcher visibility, and engender a sense of community among participants. 

    Updated on Mar 31, 2025 04:44 PM PDT
  29. Summer Graduate School Noncommutative Algebraic Geometry (Antwerp, Belgium)

    Organizers: Pieter Belmans (University of Luxembourg), Lander Hermans (Universiteit Antwerp), Wendy Lowen (Universiteit Antwerpen), Arne Mertens (Universiteit Antwerp), Michel VAN DEN BERGH (Hasselt University), Špela Špenko (Université Libre de Bruxelles)
    Antwerp

    The school will consist of two courses: Homological Mirror Symmetry and Algebraic Models for Spaces. These courses will be planned and taught by organisers with the help of teaching assistants for the problem sessions. The school will be aimed at a wide range of graduate students, from students with a Bachelor degree to beginning PhD students. The lectures and problem sessions will be complemented by a poster session in week one and a total of four introductory research talks on Friday afternoons. 

    Updated on Nov 19, 2024 10:47 AM PST
  30. Summer Graduate School Computer Assisted Proofs in Applied Mathematics (SLMath)

    Organizers: LEAD Jonathan Jaquette (New Jersey Institute of Technology), Evelyn Sander (George Mason University)
    Capprettypicture

    One of the core elements of applied mathematics is mathematical modeling consisting of nonlinear equations such as ODEs, and PDEs. A fundamental difficulty which arises is that most nonlinear models cannot be solved in closed form. Computer assisted proofs are at the forefront of modern mathematics and have led to many important recent mathematical advances. They provide a way of melding analytical techniques with numerical methods, in order to provide rigorous statements for mathematical models that could not be treated by either method alone. In this summer school, students will review standard computational and analytical techniques, learn to combine these techniques with more specialized methods of interval arithmetic, and apply these methods to establish rigorous results in otherwise intractable problems

    Updated on Oct 18, 2024 06:03 PM PDT
  31. Summer Graduate School Principled Scientific Discovery with Formal Methods (IBM, Yorktown)

    Organizers: Kenneth Clarkson (IBM Research Division), Cristina Cornelio, Claudia D'Ambrosio (Centre National de la Recherche Scientifique (CNRS); École Polytechnique), Sanjeeb Dash (IBM Thomas J. Watson Research Center), Lior Horesh (IBM Thomas J. Watson Research Center)
    Sci method
    <p>The traditional scientific method cycle, with Francis Bacon and Rene Descartes, its concievers in the center, alongside formal and statistical AI machinary, as a propsective evolution of the method.&nbsp;<br />&nbsp;</p>

    The summer school aims to expose participants to formal methods that can facilitate principled scientific discovery. The school will cover some of the basic automated statistical inference (in the form of machine learning techniques) and reasoning methods that are commonly used in scientific discovery, as well as novel techniques developed to tackle open questions and issues. This summer school will address novel computational methods for scientific discovery and focus on fusing axiomatic knowledge and experimental data to enable principled derivations of models of natural phenomena along with certificates of the consistency of these models with background knowledge specified as axioms.

    Updated on Feb 03, 2025 03:19 PM PST
  32. Summer Graduate School Geometry and Dynamics in Higher Rank Lie Groups (UC Berkeley)

    Organizers: Richard Canary (University of Michigan), Sara Maloni (University of Virginia), Wenyu Pan (University of Toronto; University of Toronto), Cagri Sert (University of Zurich), LEAD Tengren Zhang (National University of Singapore)
    Image
    <p>Flats and hyperbolic planes in a higher rank symmetric space</p> Drawn by Steve Trettel.

    Lie groups are central objects in modern mathematics; they arise as the automorphism groups of many homogeneous spaces, such as flag manifolds and Riemannian symmetric spaces. Often, one can construct manifolds locally modelled on these homogeneous spaces by taking quotients of their subsets by discrete subgroups of their automorphism groups. Studying such discrete subgroups of Lie groups is an active and growing area of mathematical research. The objective of this summer school is to introduce young researchers to a class of discrete subgroups of Lie groups, called Anosov subgroups.

    Updated on Dec 04, 2024 08:57 AM PST
  33. Summer Graduate School Topological and Geometric Structures in Low Dimensions (SLMath)

    Organizers: LEAD Kenneth Bromberg (University of Utah), Kathryn Mann (Cornell University)
    Image
    <p>Laminations arise naturally in hyperbolic geometry and (pseudo-) Anosov flows [Image by Jeffrey Brock]</p>

    This school will serve as an introduction to the SLMath semester “Topological and Geometric Structures in Low-Dimensions”.  The school consists of two mini-courses: one on Teichmüller Theory and Hyperbolic 3-Manifolds and the other on Anosov Flows on Geometric 3-Manifolds.  Both topics lie at the interface of low-dimensional geometric topology (specifically, surfaces, foliations, and 3-manifolds) and low-dimensional dynamics.  The first course will be targeted towards students who have completed the standard first year graduate courses in geometry, topology, and analysis while the second course will geared towards more advanced students who are closer to beginning research. However, we expect that all students will benefit from both courses.

    Updated on Oct 21, 2024 02:30 PM PDT
  34. Program Kinetic Theory: Novel Statistical, Stochastic and Analytical Methods

    Organizers: Laurent Desvillettes (Université Paris Cité), Irene M. Gamba (University of Texas, Austin), Francois Golse (Centre de Mathématiques Laurent Schwartz, École Polytechnique), Cyril Imbert (École Normale Supérieure), LEAD Pierre-Emmanuel Jabin (Pennsylvania State University), Qin Li (University of Wisconsin-Madison), Chiara Saffirio (Universität Basel), Weiran Sun (Simon Fraser University), Lexing Ying (Stanford University)
    357 image
    Top: Neutrino interactions and neutrino-atom interactions. Bottom: Collision of two "waves"

    The focus of the proposed program is on so-called kinetic equations, describing the evolution of the of many-particle interacting systems. These models have the form of statistical flows, with their solutions being either a single or multiple point probability density functions or measures, supported in a space of attributes. The attributes are problem-dependent and can be molecular velocity, energy, opinion, wealth, and many others. The flow then predicts the evolution of the probability measure in time, position in space, and the interchanging of the particles' states by the transition probability.

    The program will strive to give an overview of the novel mathematical tools used in kinetic theory through a broad range of classical and more recent applications.

    Updated on Aug 29, 2024 07:56 PM PDT
  35. Program Recent Trends in Stochastic Partial Differential Equations

    Organizers: Sandra Cerrai (University of Maryland), Yu Gu (University of Maryland), Massimiliano Gubinelli (University of Oxford), Davar Khoshnevisan (University of Utah), Andrea Nahmod (University of Massachusetts, Amherst), Hao Shen (University of Wisconsin-Madison), LEAD Lorenzo Zambotti (Sorbonne Université)
    Frame1
    Solution to the geometric stochastic heat equation on the sphere at a fixed time

    The topic Singular Stochastic Partial Differential Equations (singular SPDE) has rapidly grown to be an active research area at the interface of Stochastic Analysis and PDEs on one hand, and Mathematical Physics on the other hand. During this decade we have witnessed a series of tremendous breakthroughs in the solution theories of SPDEs, universality problems, large-scale asymptotic behaviors of solutions, and foundational relations with quantum field theories and geometry. Many long-standing problems have been resolved via newly developed methods – notably the theories of regularity structures and paracontrolled distributions – and deep connections with other fields are quickly emerging.

    It is a natural time to convene a large-scale semester program.

    Updated on Jul 09, 2024 04:18 PM PDT
  36. Program Complementary Program 2025-26

    The Complementary Program has a limited number of memberships that are open to mathematicians whose interests are not closely related to the core programs; special consideration is given to mathematicians who are partners of an invited member of a core program.

    Updated on Dec 03, 2024 03:13 PM PST
  37. Workshop Connections Workshop: Kinetic theory & Stochastic Partial Differential Equations

    Organizers: LEAD Raluca Balan (University of Ottawa), Francois Golse (Centre de Mathématiques Laurent Schwartz, École Polytechnique), Qin Li (University of Wisconsin-Madison), Xiaoming Song (Drexel University), Rongchan Zhu (Beijing Institute of Technology)
    1116 image

    The Connections workshop will bring together leading experts working at the intersection of kinetic theory and stochastic partial differential equations (SPDEs).

    Updated on Jul 24, 2024 09:38 AM PDT
  38. Workshop Introductory Workshop: Kinetic theory & Stochastic Partial Differential Equations

    Organizers: Davar Khoshnevisan (University of Utah), Qin Li (University of Wisconsin-Madison), LEAD Konstantin Matetski (Columbia University; Michigan State University), Andrea Nahmod (University of Massachusetts, Amherst), Chiara Saffirio (Universität Basel), Xiangchan Zhu (Chinese Academy of Sciences)
    Image
    Parameter scan for deploying external electric field to control two-stream instability for Vlasov-Poisson.

    The goal of the workshop is to introduce non-experts to two active research areas: kinetic theory and stochastic partial differential equations. Kinetic theory studies the properties of interacting particle systems modeling various processes in non-equilibrium statistical mechanics. Stochastic partial differential equations describe dynamics subjected to random noises. The methods from the two areas complement each other in studies of the phenomena arising in physics, economics, life sciences, etc.

    Updated on Jul 30, 2024 09:11 AM PDT
  39. Workshop Kinetic theory: Novel statistical, stochastic and analytical method

    Organizers: Irene M. Gamba (University of Texas, Austin), LEAD Weiran Sun (Simon Fraser University)
    357 image
    Top: Neutrino interactions and neutrino-atom interactions. Bottom: Collision of two "waves"

    This workshop will explore the latest advances in kinetic theory and stochastic particle dynamics in mean field regimes, covering both classical themes and emerging areas. Topics will include the derivation of kinetic type equations from particle and plasma systems, state-of-the-art numerical methods, studies of multiscale phenomena, and the applications of kinetic equations in physics, chemistry, computer sciences appearing in  life sciences, social sciences, and machine learning. This workshop will offer an exciting opportunity to connect researchers from all stages and sub-areas and spark new ideas.

    Updated on Dec 03, 2024 09:16 AM PST
  40. Workshop Recent Trends in Stochastic Partial Differential Equations

    Organizers: Sandra Cerrai (University of Maryland), LEAD Ilya Chevyrev (University of Edinburgh), Yu Deng (University of Chicago), Martina Hofmanova (Universität Bielefeld)
    Frame1
    The motion of a random string.

    The workshop aims to bring together researchers working on different facets of stochastic PDEs. The field of stochastic PDEs has seen many new techniques recently appear to tackle different problems, including renormalization, large scale and long-time behaviours, stochastic fluid dynamics, and homogenization. The goal of the workshop is to facilitate discussions and allow different communities to engage with one another one.

    Updated on Aug 01, 2024 09:24 AM PDT
  41. Workshop Revisiting Fundamental Problems Workshop: Infinite-Dimensional Division Algebras - Algebraicity and Freeness

    Organizers: Agatha Atkarskaya (The Hebrew University of Jerusalem), Jason Bell (University of Waterloo), LEAD Be'eri Greenfeld (University of Washington), Susan Sierra (University of Edinburgh), LEAD James Zhang (University of Washington)
    Slmath msri revisiting fundamental problems workshop suggested photo
    Tribute to Hamilton's graffiti of the Quaternion Division Algebra, County Dublin, Ireland. Photo: Professor Peter Gallagher, Director Dublin Institute for Advanced Studies Dunsink Observatory (courtesy DIAS)

    Infinite-dimensional division algebras are essential in noncommutative algebra and noncommutative algebraic geometry, yet they have remained cryptic and largely unclassified. This workshop will address three key classical open problems concerning them: the Kurosh Problem, the Free Subalgebra Problem and Artin's Conjecture. We will review decades of progress on these wide-open problems and emphasize novel techniques and emerging theories and concepts that show promise in facilitating breakthroughs.

    Updated on Oct 01, 2024 07:44 AM PDT
  42. Program Geometry and Dynamics for Discrete Subgroups of Higher Rank Lie Groups

    Organizers: Martin Bridgeman (Boston College), LEAD Richard Canary (University of Michigan), Amir Mohammadi (University of California, San Diego), LEAD Hee Oh (Yale University), Maria Beatrice Pozzetti (MSRI / Simons Laufer Mathematical Sciences Institute (SLMath); Università di Bologna), Jean-François Quint (CNRS - Université de Montpellier)
    Traveler800
    <p>This figure depicts dynamics of flows on convex cocompact hyperbolic 3-manifolds; where the girl is a traveller along a horocycle.</p>

    This research program will bring together two intellectual communities that have made significant advances in the study of discrete subgroups of higher rank semisimple Lie groups: the homogeneous dynamics community and the community studying geometric structures and Anosov groups.

    Updated on Nov 19, 2024 08:39 AM PST
  43. Program Topological and Geometric Structures in Low Dimensions

    Organizers: Ian Agol (University of California, Berkeley), Kenneth Bromberg (University of Utah), Sebastian Hensel (LMU München), Christopher Leininger (Rice University), Kathryn Mann (Cornell University), LEAD Yair Minsky (Yale University), Rachel Roberts (Washington University in St. Louis)
    368 image
    The stable and unstable foliations near a singular orbit of a pseudo- Anosov flow in 3 dimensions. Courtesy Michael Landry.

    Low dimensional topology is a meeting place for many objects and ideas from diverse areas of mathematics, including foliation theory, geometry, and smooth and conformal dynamics.   For instance, many foliations on 3-manifolds admit transverse flows, connecting (local) leafwise homeomorphisms to flow dynamics and the mapping class groups of the leaves.  Leafwise conformal or hyperbolic structures can be approached through Teichmüller theory, and connect again to one-dimensional dynamics through "universal circles" organizing compactifications of all the leaves or of the flow space.  Many of these ideas originate in work of Thurston but in recent years have diverged and are ripe for reconnection.  

    The program will bring together experts in all these fields together with younger researchers, who together can form new connections and open new areas for exploration.

    Updated on Jul 09, 2024 04:16 PM PDT
  44. Workshop Connections Workshop: Topological and Geometric Structures in Low Dimensions & Geometry and Dynamics for Discrete Subgroups of Higher Rank Lie Groups

    Organizers: Martin Bridgeman (Boston College), Lei Chen (University of Chicago; University of Maryland), Beibei Liu (Ohio State University), Maria Beatrice Pozzetti (MSRI / Simons Laufer Mathematical Sciences Institute (SLMath); Università di Bologna), Rachel Roberts (Washington University in St. Louis), Jing Tao (University of Oklahoma)
    Pic1

    This workshop features a series of invited talks by experts across the fields of low-dimensional topology, homogeneous dynamics, and the geometry of symmetric spaces. Spanning all career stages, the event aims to foster a collaborative and supportive environment, particularly for early-career mathematicians, encouraging engagement, learning, and exploration in a welcoming academic setting.

    Updated on Nov 20, 2024 10:42 AM PST
  45. Workshop Introductory Workshop: Topological and Geometric Structures in Low Dimensions & Geometry and Dynamics for Discrete Subgroups of Higher Rank Lie Groups

    Organizers: Federica Fanoni (University of Warwick), Steven Frankel (Washington University), LEAD Yair Minsky (Yale University), Amir Mohammadi (University of California, San Diego), Andrés Sambarino (Université de Paris VII (Denis Diderot) et Université de Paris VI (Pierre et Marie Curie)), Barbara Schapira (Université de Picardie (Jules Verne)), Genevieve Walsh (Tufts University)
    1125 workshop gradient

    The joint introductory workshop for the programs in Geometry and Dynamics for Discrete Subgroups of Higher Rank Lie Groups and Topological and Geometric Structures in Low Dimensions will feature lectures introducing subjects of interest to both programs, including Teichmuller Theory, geometry in higher rank, foliations and flows, Anosov groups and thermodynamic formalism,  mapping class groups, counting and equidistribution, and related topics. Minicourses will be targeted at early career researchers as well as specialists looking to find connections between the different subjects.

    Updated on Jul 23, 2024 02:18 PM PDT
  46. Workshop Recent progress in topological and geometric structures in low dimensions

    Organizers: Kenneth Bromberg (University of Utah), Sergio Fenley (Florida State University), Autumn Kent (University of Wisconsin-Madison), LEAD Kathryn Mann (Cornell University), Kasra Rafi (University of Toronto)
    Palocal image
    Foliations around a pseudo-Anosov singularity (Image credit: Chi Cheuk Tsang)

    This workshop will bring together ideas from diverse areas of mathematics that meet in the setting of geometry and topology in low dimensions.  This includes the study of flows, foliations, and fibrations of three-manifolds and the related study of geometry (e.g. hyperbolic or conformal structures) of the manifolds and of the leaves or fibers, and their mapping class groups.  This is a rich and interconnected area and many adjacent topics will also be featured.

    Created on Jul 22, 2024 11:35 AM PDT
  47. Workshop Homogeneous Dynamics and Anosov representations

    Organizers: LEAD Marc Burger (ETH Zürich), Simion Filip (University of Chicago), Ursula Hamenstaedt (Rheinische Friedrich-Wilhelms-Universität Bonn), Fanny Kassel (Institut des Hautes Études Scientifiques (IHES)), Hee Oh (Yale University), Jean-François Quint (CNRS - Université de Montpellier)
    1137 image
    Limit set of an Anosov representation

    This workshop will focus on recent advances on geometric and dynamical approaches to the study of discrete subgroups of higher rank Lie groups and their deformation spaces. The goal will be to present results and exchange ideas from different areas of mathematics, and we hope to create bonds between several different mathematical communities.

    Updated on Jul 24, 2024 09:47 AM PDT
  48. Program Representation Theory Under the Influence of Quantum Field Theory

    Organizers: David Ben-Zvi (University of Texas, Austin), LEAD Tudor Dimofte (University of Edinburgh), Iva Halacheva (Northeastern University), Joel Kamnitzer (University of Toronto), Pavel Safronov (University of Edinburgh), Peng Shan (Tsinghua University)
    Qft image
    <p>Illustrated by Rok Gregoric</p>

    The upcoming SLMath program is organized around key themes of “higher” quantization and mirror symmetry as they impact and elucidate a wide variety of questions in representation theory. The program will bring together experts and young researchers from algebra, geometry, physics and number theory to help develop and disseminate this unified vision of a rapidly evolving field, exploring the mathematical consequences of the examples, structures, and dualities discovered in physics.

    Updated on Jan 27, 2025 09:25 AM PST
  49. Program Motivic Homotopy Theory: Connections and Applications

    Organizers: Aravind Asok (University of Southern California), Adrien Dubouloz (Institut de Mathématiques de Bourgogne), Elden Elmanto (University of Toronto, Scarborough; Harvard University), Daniel Isaksen (Wayne State University), Paul-Arne Ostvaer (Università di Milano), Anand Sawant (Tata Institute of Fundamental Research), Kirsten Wickelgren (Duke University), Maria Yakerson (University of Oxford)

    Tremendous progress has been made using motivic techniques in geometric questions for affine algebraic varieties, especially those involving algebraic vector bundles. Computations in classical algebraic topology have been improved by motivic techniques, e.g., related to the problem of computing homotopy groups of spheres. Moreover, the theory has identified new structures of interest in arithmetic situations. Transformative recent progress in motivic homotopy theory has only broadened the scope for potential applications of motivic techniques, as well as new avenues of interaction with other areas of mathematics. This program will build on previous successes, explaining the tools that have been developed and how to use them, analyzing questions of the sort described above and identifying new domains where motivic techniques will be successful.

    Updated on Oct 23, 2024 05:12 PM PDT
  50. Workshop Geometric representation theory and 3d mirror symmetry

    Organizers: Tudor Dimofte (University of Edinburgh), Joel Kamnitzer (University of Toronto), Sam Raskin (University of Texas, Austin), Peng Shan (Tsinghua University), LEAD Benjamin Webster (University of Waterloo)
    3d mirror symmety
    Image by Elliot Kienzle

    This workshop will bring together theoretical physicists, representation theorists, algebraic geometers and symplectic geometers interested the connections between quantum field theory and geometric representation theory. The main topics to be discussed are mathematical aspects of 2d, 3d and 4d supersymmetric field theories, such as: topological twists and the resulting Higgs and Coulomb branches, relations to quantization and categorification, representations of vertex operator algebras, connections to enumerative geometry and quantum K-theory and elliptic cohomology, relations to knot homology and, finally, connections to the (relative) geometric Langlands program.

    Updated on Mar 04, 2025 10:29 AM PST
  51. Program New Trends in Tropical Geometry

    Organizers: Pierrick Bousseau (University of Georgia), Melody Chan (Brown University), Ilia Itenberg (Institut de Mathématiques de Jussieu - Paris Rive Gauche), Hannah Markwig (Eberhard-Karls-Universität Tübingen), LEAD Kris Shaw (University of Oslo)
    382 nttg image
    Tropical surfaces. Images courtesy of Lars Allermann.

    Tropical geometry can be viewed as a degenerate version of algebraic geometry,where the role of algebraic varieties is played by certain polyhedral complexes. As the degeneration process, called tropicalization, preserves many fundamental properties, tropical geometry provides important bridges and an exchange of methods between algebraic geometry, symplectic geometry and convex geometry; these links have been extremely fruitful and gave rise to remarkable results during the last 20 years. The main focus of the program will be on the most significant recent developments in tropical geometry and its applications. The following topics are particularly influential in the area and will be central in the program:

    • real aspects of tropical geometry;
    • tropical mirror symmetry and non-Archimedean geometry;
    • tropical phenomena in symplectic geometry;
    • matroids, combinatorial and algebraic aspects;
    • tropical moduli spaces;
    • tropical geometry and A1-homotopy theory.

    Updated on Mar 13, 2024 02:34 PM PDT
  52. Program Algebraic Combinatorics

    Organizers: Sara Billey (University of Washington), LEAD Sylvie Corteel (Université de Paris VII (Denis Diderot); University of California, Berkeley), Philippe Di Francesco (University of Illinois at Urbana-Champaign), Cynthia Vinzant (University of Washington), Lauren Williams (Harvard University)
    A631
    Picture of an amplituhedron

    Algebraic combinatorics is an area of mathematics that employs methods in abstract algebra in combinatorial contexts, and that uses combinatorial methods to approach problems in algebra. Some important topics are symmetric functions, Young tableaux, matroids, Coxeter combinatorics. There are links to computer algebra (sage-combinat), number theory (L-functions), representation theory, and mathematical physics through Macdonald processes and integrability. The work on the totally positive Grassmannian also gave rise to beautiful results in mathematical physics: for example KP solitons and Scattering Amplitudes. Schubert calculus is an important part of algebraic combinatorics and is now at the frontier with k-Schur functions, which first came up in the theory of Macdonald polynomials.

    Updated on Nov 26, 2024 03:17 PM PST
  53. Program Inverse Problems and Applications

    Organizers: Fioralba Cakoni (Rutgers University), Maarten de Hoop (Rice University), Anna Gilbert (Yale University), Katya Krupchyk (University of California, Irvine), Matti Lassas (University of Helsinki), LEAD Gunther Uhlmann (University of Washington)
    Nature feb 2017

    Inverse problems (IP) arise in all fields of science and technology where a cause for an observed or desired effect is sought. In the last 50 years or so there has been substantial progress in the mathematical understanding of these problems but many questions remain open. The mathematics of these problems involves many areas in Mathematics including PDE, differential geometry, integral geometry, probability, statistics, complex analysis, numerical analysis, mathematical physics, data science, etc. Since the 2010 program at the then-Mathematical Sciences Research Institute (now Simons Laufer Mathematical Sciences Institute), there has been significant progress in inverse problems; many of the advances can be traced back to that program. However, there are still deep open questions remaining as well, some of which are discussed in this proposal. New research topics include the connection between IP and machine learning, IP for nonlinear equations, IP for nonlocal operators, and connections between statistics and IP.

    Updated on Feb 28, 2024 03:01 PM PST
  54. Program Geometric Measure Theory

    Organizers: Otis Chodosh (Stanford University), Camillo De Lellis (Institute for Advanced Study), LEAD Guido De Philippis (Hausdorff Research Institute for Mathematics, University of Bonn), Svitlana Mayboroda (University of Minnesota, Twin Cities), Robin Neumayer (Northwestern University), Luca Spolaor (University of California, San Diego), Zihui Zhao (Johns Hopkins University)

    The field of Geoemtric Measure Theory (GMT)has become vast and many gaps between disparate areas have emerged. This thematic semester will bring together researchers from every corner of the field, to kick-start new interactions and discoveries. In light of the many exciting advancements and potential for future breakthroughs, this as a crucial moment to bring old and new members of the GMT community together. The program will encourage interactions between established experts, emerging researchers and students, allowing for the sharing of key idea that brought to the recent developments and helping to shape a research agenda for the future.

    Updated on Dec 04, 2024 11:24 AM PST