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

All upcoming workshops 