
Summer Graduate School Integral Equations and Applications
Organizers: Fioralba Cakoni (Rutgers University), Dorina Mitrea (Baylor University), Irina Mitrea (Temple University), Shari Moskow (Drexel University)The field of Integral Equations has a long and distinguished history, being the driving force behind many fundamental developments in various areas of mathematics including Harmonic Analysis, Partial Differential Equations, Potential Theory, Scattering Theory, Functional Analysis, Complex Analysis, Operator Theory, Mathematical Physics and Numerical Analysis.
This school will:
 introduce graduate students to the systematic study of integral equations;
 present some of the latest theoretical advancements in the field and open problems; and
 involve participants in a handson discovery lab focused on deriving results about integral operators in two dimensions relevant for both the theoretical and numerical treatment of Integral Equations in two dimensions. The curriculum of this program will be accessible and will have a broad appeal to graduate students from a variety of mathematical areas (both theoretical and applied).
Updated on Sep 02, 2021 04:19 PM PDT 
MSRIUP MSRIUP 2022: Algebraic Methods in Mathematical Biology
Organizers: LEAD Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Franco (Queensborough Community College (CUNY); MSRI  Mathematical Sciences Research Institute), Rebecca Garcia (Sam Houston State University), Candice Price (Smith College), Anne Shiu (Texas A & M 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 2022, MSRIUP will focus on Algebraic Methods in Mathematical Biology. The research program will be led by Dr. Anne Shiu, Associate Professor of Mathematics at Texas A&M University.
Updated on Feb 16, 2022 09:10 AM PST 
Summer Graduate School New Directions in Representation Theory (AMSI and U. of Hawaii, Hilo)
Organizers: Angela Coughlin (Australian Mathematical Sciences Institute), Joseph Grotowski (University of Queensland), Tim Marchant (Australian Mathematical Sciences Institute), Ole Warnaar (University of Queensland), Geordie Williamson (University of Sydney)This school is offered in partnership with the Australian Mathematical Sciences Institute and the University of Hawaii, Hilo.
Representation Theory has undergone a revolution in recent years, with the development of what is now known as higher representation theory. In particular, the notion of categorification has led to the resolution of many problems previously considered to be intractable.
The school will begin by providing students with a brief but thorough introduction to what could be termed the “bread and butter of modern representation theory”, i.e., compact Lie groups and their representation theory; character theory; structure theory of algebraic groups.
We will then continue on to a number of more specialized topics. The final mix will depend on discussions with the prospective lecturers, but we envisage such topics as:
• modular representation theory of finite groups (blocks, defect groups, Broué’s conjecture);
• perverse sheaves and the geometric Satake correspondence;
• the representation theory of real Lie groups.
Updated on Mar 25, 2022 12:20 PM PDT 
Summer Graduate School Geometric Flows (Crete, Greece)
Organizers: Nicholas Alikakos (National and Kapodistrian University of Athens (University of Athens)), Panagiota Daskalopoulos (Columbia University)[The image on this vase from Minoan Crete, dated on 15002000 BC, resembles an ancient solution to the Curve shortening flow  one of the most basic geometric flows. The vase is at Heraklion Archaeological Museum]
This summer graduate school is a collaboration between MSRI and the FORTHIACM Institute in Crete. The purpose of the school is to introduce graduate students to some of the most important geometric evolution equations. Information about the location of the summer school can be found here.
This is an area of geometric analysis that lies at the interface of differential geometry and partial differential equations. The lectures will begin with an introduction to nonlinear diffusion equations and continue with classical results on the Ricci Flow, the Mean curvature flow and other fully nonlinear extrinsic flows such as the Gauss curvature flow. The lectures will also include geometric applications such as isoperimetric inequalities, topological applications such as the Poincaré onjecture, as well as recent important developments related to the study of singularities and ancient solutions.
Updated on Mar 07, 2022 11:16 AM PST 
Summer Graduate School Algebraic Theory of Differential and Difference Equations, Model Theory and their Applications
Organizers: LEAD Alexey Ovchinnikov (Queens College, CUNY), Anand Pillay (University of Notre Dame), Thomas Scanlon (University of California, Berkeley), Michael Wibmer (University of Notre Dame)The purpose of the summer school will be to introduce graduate students to effective methods in algebraic theories of differential and difference equations with emphasis on their modeltheoretic foundations and to demonstrate recent applications of these techniques to studying dynamic models arising in sciences. While these topics comprise a coherent and rich subject, they appear in graduate coursework in at best a piecemeal way, and then only as components of classes for other aims. With this Summer Graduate School, students will learn both the theoretical basis of differential and difference algebra and how to use these methods to solve practical problems. Beyond the lectures, the graduate students will meet daily in problem sessions and will participate in oneonone mentoring sessions with the lecturers and organizers.
Updated on Apr 25, 2022 11:14 AM PDT 
Summer Graduate School Random Graphs
Organizers: Louigi AddarioBerry (McGill University), Remco van der Hofstad (Technische Universiteit Eindhoven)The topic of random graphs is at the forefront of applied probability, and it is one of the central topics in multidisciplinary science where mathematical ideas are used to model and understand the real world. At the same time, random graphs pose challenging mathematical problems that have attracted the attention from probabilists and combinatorialists since the 1960, with the pioneering work of Erdös and Rényi. Around the turn of the millennium, very large data sets started to become available, and several applied disciplines started to realize that many realworld networks, even though they are from various different origins, share many fascinating features. In particular, many of such networks are small worlds, meaning that graph distances in them are typically quite small, and they are scalefree, in the sense that there are enormous differences in the number of connections that their elements make. In particular, such networks are quite different from the classical random graph models, such as proposed by Erdös and Rényi.
Updated on Sep 02, 2021 04:21 PM PDT 
Summer Graduate School Metric Geometry and Geometric Analysis (Oxford, United Kingdom)
Organizers: LEAD Cornelia Drutu (University of Oxford), Panos Papazoglou (University of Oxford)The purpose of the summer school is to introduce graduate students to key mainstream directions in the recent development of geometry, which sprang from Riemannian Geometry in an attempt to use its methods in various contexts of nonsmooth geometry. This concerns recent developments in metric generalizations of the theory of nonpositively curved spaces and discretizations of methods in geometry, geometric measure theory and global analysis. The metric geometry perspective gave rise to new results and problems in Riemannian Geometry as well.
All these themes are intertwined and have developed either together or greatly influencing one another. The summer school will introduce some of the latest developments and the remaining open problems in these very modern areas, and will emphasize their synergy.
Updated on Feb 14, 2022 12:29 PM PST 
Summer Graduate School Séminaire de Mathématiques Supérieures 2022: Floer Homotopy Theory
Organizers: Kristen Hendricks (Rutgers University), Ailsa Keating (University of Cambridge), Robert Lipshitz (University of Oregon), Liam Watson (University of British Columbia), Ben Williams (University of British Columbia)The idea of stable homotopy refinements of Floer homology was first introduced by Cohen, Jones, and Segal in a 1994 paper, but it was only in the last decade that this idea became a key tool in lowdimensional and symplectic topology. The two crowning achievements of these techniques so far are Manolescu's use of his Pin(2)equivariant SeibergWitten Floer homotopy type to resolve the Triangulation Conjecture and AbouzaidBlumberg's use of Floer homotopy theory and Morava Ktheory to prove the general Arnol'd Conjecture in finite characteristic. During this period, a range of related techniques, included under the umbrella of Floer homotopy theory, have also led to important advances, including involutive Heegaard Floer homology, Smith theory for Lagrangian intersections, homotopy coherence, and further connections between string topology and Floer theory. These in turn have sparked developments in algebraic topology, ranging from developments on Lie algebras in derived algebraic geometry to new computations of equivariant Mahowald invariants to new results on topological Hochschild homology.
The goal of the summer school is to provide participants the tools in symplectic geometry and stable homotopy theory required to work on Floer homotopy theory. Students will come away with a basic understanding of some of the key techniques, questions, and challenges in both of these fields. The summer school may be particularly valuable for participants with a solid understanding of one of the two fields who want to learn more about the other and the connections between them.Updated on Sep 10, 2021 11:11 AM PDT 
Summer Graduate School 2022 Joint PCMI School: Number Theory Informed by Computation
Organizers: Jennifer Balakrishnan (Boston University), Rafe Mazzeo (Stanford University), Bjorn Poonen (Massachusetts Institute of Technology), Akshay Venkatesh (Institute for Advanced Study)The PCMI graduate summer school program in 2022 will consist of a sequence of 11 minicourses. The lecturers and topics for these minicourses are listed below. Each minicourse is accompanied by a problem session. The topics are arranged so that there is good material and opportunities for learning both for less experienced students as well as more advanced students. Beyond their attendance in these minicourse sessions, all graduate participants will be able to take part in the substantial other benefits of a PCMI session. This includes the opportunity to interact with the researchers in residence and take part in the research seminar component of PCMI. Many graduate students also interact in significant ways with the undergraduate cohort,,the undergraduate faculty cohort, and may also participate in the many pedagogically focused activities which form part of the K12 Teacher Leadership Program and the Workshop for Equity in Mathematics Education. PCMI includes numerous crossprogram activities to help members from all these groups interact with one another.
Updated on Feb 02, 2022 03:52 PM PST 
Summer Graduate School MSRINCTS Joint Summer School: Recent Topic in Well Posedness
Organizers: Jungkai Chen (National Taiwan University), Mimi Dai (University of Illinois at Chicago), Yoshikazu Giga (University of Tokyo), Tsuyoshi Yoneda (Hitotsubashi University)This school is offered in partnership with the National Center for Theoretical Sciences.
The purpose of the workshop is to introduce graduate students to fundamental results on the NavierStokes and the Euler equations, with special emphasis on the solvability of its initial value problem with rough initial data as well as the large time behavior of a solution. These topics have long research history. However, recent studies clarify the problems from a broad point of view, not only from analysis but also from detailed studies of orbit of the flow.
Updated on Mar 25, 2022 12:36 PM PDT 
Summer Graduate School Mathematics of Machine Learning (INdAM and Courant Institute)
Organizers: Sebastien Bubeck (Microsoft Research), Adith Swaminathan (Microsoft Research)This school is offered in partnership with Istituto Nazionale di Alta Matematica (INdAM) and the Courant Institute of Mathematical Sciences.
Learning theory is a rich field at the intersection of statistics, probability, computer science, and optimization. Over the last decades the statistical learning approach has been successfully applied to many problems of great interest, such as bioinformatics, computer vision, speech processing, robotics, and information retrieval. These impressive successes relied crucially on the mathematical foundation of statistical learning.
Recently, deep neural networks have demonstrated stunning empirical results across many applications like vision, natural language processing, and reinforcement learning. The field is now booming with new mathematical problems, and in particular, the challenge of providing theoretical foundations for deep learning techniques is still largely open. On the other hand, learning theory already has a rich history, with many beautiful connections to various areas of mathematics (e.g., probability theory, high dimensional geometry, game theory). The purpose of the summer school is to introduce graduate students (and advanced undergraduates) to these foundational results, as well as to expose them to the new and exciting modern challenges that arise in deep learning and reinforcement learning.
Updated on Apr 25, 2022 11:11 AM PDT 
Summer Graduate School Topological Methods for the Discrete Mathematician
Organizers: Pavle Blagojevic (Freie Universität Berlin), Florian Frick (Carnegie Mellon University), Shira Zerbib (Iowa State University)Recently, progress in the field of topological methods in discrete mathematics has been rapid and has generated a lot of activity with the resolution of major open problems, the emergence of new lines of inquiry, and the development of new tools. These exciting new developments have not been digested into a textbook treatment. The two main goals of this school are to:
 Provide graduate students with a thorough introduction to novel topological techniques and to a handful of their applications in the fields of combinatorics and discrete geometry with short glimpses into mathematical mechanics and algorithm complexity.
 Expose students to current research, and guide them in research on open problems in discrete mathematics using modern topological tools.
The summer school will lead participants from appealing, simpletostate problems at confluence of combinatorics, geometry, and topology to sophisticated topological methods that are required for their resolution. In recent years topological methods have found numerous novel applications in mathematics and beyond, such as in data science, machine learning, economics, the social sciences, and biology. The problems we will discuss are particularly wellsuited to rapidly put students in a position to approach related research questions.
Updated on Sep 07, 2021 09:52 AM PDT 
Summer Graduate School Sums of Squares Method in Geometry, Combinatorics and Optimization (BIRS)
Organizers: LEAD Grigoriy Blekherman (Georgia Institute of Technology), Annie Raymond (University of Massachusetts Amherst), Cynthia Vinzant (University of Washington)The study of nonnegative polynomials and sums of squares is a classical area of real algebraic geometry dating back to Hilbert’s 17th problem. It also has rich connections to real analysis via duality and moment problems. In the last 15 years, sums of squares relaxations have found a wide array of applications from very applied areas (e.g., robotics, computer vision, and machine learning) to theoretical applications (e.g., extremal combinatorics, theoretical computer science). Also, an intimate connection between sums of squares and classical algebraic geometry has been found. Work in this area requires a blend of ideas and techniques from algebraic geometry, convex geometry and representation theory. After an introduction to nonnegative polynomials, sums of squares and semidefinite optimization, we will focus on the following three topics:
 Sums of squares on real varieties (sets defined by real polynomial equations) and connections with classical algebraic geometry.
 Sums of squares method for proving graph density inequalities in extremal combinatorics. Here addition and multiplication take place in the gluing algebra of partially labelled graphs.
 Sums of squares relaxations for convex hulls of real varieties and thetabodies with applications in optimization.
The summer school will give a selfcontained introduction aimed at beginning graduate students, and introduce participants to the latest developments. In addition to attending the lectures, students will meet in intensive problem and discussion sessions that will explore and extend the topics developed in the lectures.
Updated on Apr 07, 2022 02:41 PM PDT 
Summer Graduate School Tropical Geometry
Organizers: Renzo Cavalieri (Colorado State University), Hannah Markwig (EberhardKarlsUniversität Tübingen), Dhruv Ranganathan (University of Cambridge)Enumerative geometry and the theory of moduli spaces of curves are two cornerstones of modern algebraic geometry; the two subjects have had a significant influence on each other. In the last 15 years, discrete and combinatorial methods, systematized within tropical geometry, have begun to provide new avenues of access into these two subjects. The goal of this summer school is to give students crash courses in tropical and logarithmic geometry, with a particular focus on the applications in enumerative geometry and moduli theory. The school will consist of three courses of seven lectures each:
 Enumeration of tropical curves/ by Hannah Markwig
 Curve counting in tropical and algebraic geometry by Renzo Cavalieri
 Logarithmic geometry and stable map/s by Dhruv Ranganathan
Updated on Feb 04, 2022 09:44 AM PST
Past Educational Events

Workshop [Hybrid Workshop] Critical Issues in Mathematics Education 2022: Initiating, Sustaining, and Researching Mathematics Department Transformation of Introductory Courses for STEM Majors
Organizers: Naneh Apkarian (Arizona State University), David Bressoud (Macalester College), Pamela Burdman (Just Equations), Jamylle Carter (Diablo Valley college), Ted Coe (Northwest Evaluation Association), Courtney Ginsberg (Math for America), Estrella Johnson (Virginia Polytechnic Institute and State University), W Gary Martin (Auburn University), Michael O'Sullivan (San Diego State University), LEAD Chris Rasmussen (San Diego State University), Daniel Reinholz (San Diego State University), Wendy Smith (University of Nebraska), David Webb (University of Colorado at Boulder)The world is changing, along with perceptions. Many call for the improvement of mathematics teaching and learning, for both citizenry and STEM preparation. To achieve sustainable change, though, the focus needs to extend from individuals to systems. It is not enough to change one classroom or one course. Transformation requires change at all levels: in teaching, programmatic practices, and institutions. This workshop will bring together teachers and researchers from universities, community colleges, and K12 schools to explore the reasons for and processes by which change in university mathematics departments is initiated, promoted, and sustained and lessons learned from change efforts in K12. It will review what we know about change at all levels and reflect on stories of failure and success.
Updated on Mar 14, 2022 12:02 PM PDT 
Workshop Blackwell Tapia Conference 2021
Organizers: David Banks (Duke University), Hélène Barcelo (MSRI  Mathematical Sciences Research Institute), Lloyd Douglas, Robert Megginson (University of Michigan), Mariel Vazquez (University of California, Davis), Ulrica Wilson (Morehouse College; Institute for Computational and Experimental Research in Mathematics (ICERM))MSRI and the Mathematical Science Institutes Diversity Initiative (MSIDI) are pleased to announce that the 2021 BlackwellTapia Conference (rescheduled from Fall 2020), will be held simultaneously at four locations nationwide. The conference will celebrate the 2020 BlackwellTapia prize winner, Tatiana Toro (University of Washington), who has recently been announced as the next Director of MSRI, effective August 2022.
ONLY REGISTRATIONS FOR VIRTUAL PARTICIPATION ARE BEING ACCEPTED AS OF NOVEMBER 8.
Choose from four host sites nationwide:
Mathematical Sciences Research Institute (MSRI): Berkeley, California
Institute for Pure and Applied Mathematics (IPAM): Los Angeles, California
Institute for Mathematical and Statistical Innovation (IMSI): Chicago, Illinois
Institute for Advanced Study (IAS): Princeton, New JerseyUpdated on Nov 08, 2021 10:30 AM PST 
Summer Graduate School Foundations and Frontiers of Probabilistic Proofs (Virtual School)
Organizers: Alessandro Chiesa (University of California, Berkeley), Tom Gur (University of Warwick)Proofs are at the foundations of mathematics. Viewed through the lens of theoretical computer science, verifying the correctness of a mathematical proof is a fundamental computational task. Indeed, the P versus NP problem, which deals precisely with the complexity of proof verification, is one of the most important open problems in all of mathematics.
The complexitytheoretic study of proof verification has led to exciting reenvisionings of mathematical proofs. For example, probabilistically checkable proofs (PCPs) admit localtoglobal structure that allows verifying a proof by reading only a minuscule portion of it. As another example, interactive proofs allow for verification via a conversation between a prover and a verifier, instead of the traditional static sequence of logical statements. The study of such proof systems has drawn upon deep mathematical tools to derive numerous applications to the theory of computation and beyond.
In recent years, such probabilistic proofs received much attention due to a new motivation, delegation of computation, which is the emphasis of this summer school. This paradigm admits ultrafast protocols that allow one party to check the correctness of the computation performed by another, untrusted, party. These protocols have even been realized within recentlydeployed technology, for example, as part of cryptographic constructions known as succinct noninteractive arguments of knowledge (SNARKs).
This summer school will provide an introduction to the field of probabilistic proofs and the beautiful mathematics behind it, as well as prepare students for conducting cuttingedge research in this area.
Updated on Aug 11, 2021 12:27 PM PDT 
Summer Graduate School Random Conformal Geometry (Virtual School)
Organizers: Mario Bonk (University of California, Los Angeles), Steffen Rohde (University of Washington), LEAD Fredrik Viklund (Royal Institute of Technology)This Summer Graduate School will cover basic tools that are instrumental in Random Conformal Geometry (the investigation of analytic and geometric objects that arise from natural probabilistic constructions, often motivated by models in mathematical physics) and are at the foundation of the subsequent semesterlong program "The Analysis and Geometry of Random Spaces". Specific topics are Conformal Field Theory, Brownian Loops and related processes, Quasiconformal Maps, as well as Loewner Energy and Teichmüller Theory.
Updated on Mar 19, 2021 03:03 PM PDT 
Summer Graduate School Gauge Theory in Geometry and Topology (Virtual School)
Organizers: Lynn Heller (Universität Hannover), Francesco Lin (Columbia University), LEAD Laura Starkston (University of California, Davis), Boyu Zhang (Princeton University)Figure 1. A rotationally symmetric solution to the selfduality equations on an open and dense subset of the torus. Singularities appear where the surface intersects the ideal boundary at infinity of the hyperbolic 3space visualized by the wireframe.
Gauge theory is a geometric language used to formulate many fundamental physical phenomena, which has also had profound impact on our understanding of topology. The main idea is to study the space of solutions to partial differential equations admitting a very large group of local symmetries. Starting in the late 1970s, mathematicians began to unravel surprising connections between gauge theory and many aspects of geometric analysis, algebraic geometry and lowdimensional topology. This influence of gauge theory in geometry and topology is pervasive nowadays, and new developments continue to emerge.
The goal of the summer school is to introduce students to the foundational aspects of gauge theory, and explore their relations to geometric analysis and lowdimensional topology. By the end of the twoweek program, the students will understand the relevant analytic and geometric aspects of several partial differential equations of current interest (including the YangMills ASD equations, the SeibergWitten equations, and the Hitchin equations) and some of their most impactful applications to problems in geometry and topology.
Updated on Jun 28, 2021 12:06 PM PDT 
Summer Graduate School Mathematics of Big Data: Sketching and (Multi) Linear Algebra (Virtual School)
Organizers: LEAD Kenneth Clarkson (IBM Research Division), Lior Horesh (IBM Thomas J. Watson Research Center), Misha Kilmer (Tufts University), Tamara Kolda (Sandia National Laboratories; 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 Mar 15, 2021 03:16 PM PDT 
MSRIUP MSRIUP 2021: Parking Functions: Choose your own adventure
Organizers: Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Franco (Queensborough Community College (CUNY); MSRI  Mathematical Sciences Research Institute), LEAD Rebecca Garcia (Sam Houston State University), Pamela Harris (Williams College), 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 2021, MSRIUP will focus on Parking Functions: Choose your own adventure. The research program will be led by Dr. Pamela E. Harris, Associate Professor of Mathematics at Williams College.
Updated on Feb 05, 2021 01:42 PM PST 
Workshop [Online] Workshop on Mathematics and Racial Justice
Organizers: Caleb Ashley (Boston College), Ron Buckmire (Occidental College), Duane Cooper (Morehouse College), Monica Jackson (American University), LEAD Omayra Ortega (Sonoma State University), LEAD Robin Wilson (California State Polytechnic University, Pomona)The overarching goal of the Workshop on Mathematics and Racial Justice is to explore the role that mathematics plays in today’s movement for racial justice. For the purposes of this workshop, racial justice is the result of intentional, active and sustained antiracist practices that identify and dismantle racist structures and policies that operate to oppress, disenfranchise, harm, and devalue Black people. This workshop will bring together mathematicians, statisticians, computer scientists, and STEM educators as well as members of the general public interested in using the tools of these disciplines to critically examine and eradicate racial disparities in society. Researchers with expertise or interest in problems at the intersection of mathematics, statistics and racial justice are encouraged to participate. This workshop will take place over two weeks and will include sessions on Bias in Algorithms and Technology; Fair Division, Allocation, and Representation; Public Health Disparities; and Racial Inequities in Mathematics Education.
Updated on Sep 17, 2021 04:14 PM PDT 
Summer Graduate School Sparsity of Algebraic Points (Virtual School)
Organizers: Philipp Habegger (University of Basel), LEAD Hector Pasten (Pontificia Universidad Católica de Chile)The theory of Diophantine equations is understood today as the study of algebraic points in algebraic varieties, and it is often the case that algebraic points of arithmetic relevance are expected to be sparse.
This summer school will introduce the participants to two of the main techniques in the subject: (i) the filtration method to prove algebraic degeneracy of integral points by means of the subspace theorem, leading to special cases of conjectures by Bombieri, Lang, and Vojta, and (ii) unlikely intersections through ominimality and bialgebraic geometry, leading to results in the context of the ManinMumford conjecture, the AndréOort conjecture, and generalizations. This SGS should provide an entry point to a very active research area in modern number theory.
Updated on Mar 05, 2021 11:34 AM PST 
Summer Graduate School 2021 CRMPIMS Summer School in Probability (Virtual School)
Organizers: LEAD Louigi AddarioBerry (McGill University), Omer Angel (University of British Columbia), Alexander Fribergh (University of Montreal), Mathav Murugan (University of British Columbia), Edwin Perkins (University of British Columbia)The courses in this summer school focus on mathematical models of group dynamics, how to describe their dynamics and their scaling limits, and the connection to discrete and continuous optimization problems.
The phrase "group dynamics" is used loosely here  it may refer to species migration, the spread of a virus, or the propagation of electrons through an inhomogeneous medium, to name a few examples. Very commonly, such systems can be described via stochastic processes which approximately behave like the solution of an appropriate partial differential equation in the largepopulation limit.
Updated on Aug 09, 2021 02:04 PM PDT 
Summer Graduate School Séminaire de Mathématiques Supérieures 2021: Microlocal Analysis: Theory and Applications (Virtual School)
Organizers: Suresh Eswarathasan (Dalhousie University), Dmitry Jakobson (McGill University), Katya Krupchyk (University of California, Irvine), Stephane Nonnenmacher (Université de Paris XI)Microlocal analysis originated in the study of linear partial differential equations (PDEs) in the highfrequency regime, through a combination of ideas from Fourier analysis and classical Hamiltonian mechanics. In parallel, similar ideas and methods had been developed since the early times of quantum mechanics, the smallness of Planck’s constant allowing to use semiclassical methods. The junction between these two points of view (microlocal and semiclassical) only emerged in 1970s, and has taken its full place in the PDE community in the last 20 years. This methodology resulted in major advances in the understanding of linear and nonlinear PDEs in the last 50 years. Moreover, microlocal methods continue to find new applications in diverse areas of mathematical analysis, such as the spectral theory of nonselfadjoint operators, scattering theory, and inverse problems.
Updated on Aug 06, 2021 06:16 AM PDT 
Workshop [Moved Online] Critical Issues in Mathematics Education 2021: Initiating, Sustaining, and Researching Mathematics Department Transformation of Introductory Courses for STEM Majors
Organizers: Naneh Apkarian (Arizona State University), David Bressoud (Macalester College), Pamela Burdman (Just Equations), Jamylle Carter (Diablo Valley college), Ted Coe (Northwest Evaluation Association), Estrella Johnson (Virginia Polytechnic Institute and State University), W Gary Martin (Auburn University), Michael O'Sullivan (San Diego State University), William Penuel (University of Colorado), LEAD Chris Rasmussen (San Diego State University), Daniel Reinholz (San Diego State University), Wendy Smith (University of Nebraska), David Webb (University of Colorado at Boulder)NOTE: The introductory sessions for this workshop will be held online the morning of April 29th. Additional sessions will be held when it is once again possible to meet in person. Times listed on schedule is in Pacfic Standard Time.
The world is changing, along with perceptions. Many call for the improvement of mathematics teaching and learning, for both citizenry and STEM preparation. To achieve sustainable change, though, the focus needs to extend from individuals to systems. It is not enough to change one classroom or one course. Transformation requires change at all levels: in teaching, programmatic practices, and institutions. This workshop will bring together teachers and researchers from universities, community colleges, and K12 schools to explore the reasons for and processes by which change in university mathematics departments is initiated, promoted, and sustained and lessons learned from change efforts in K12. It will review what we know about change at all levels and reflect on stories of failure and success.
Updated on Feb 22, 2021 09:57 AM PST 
Seminar ADJOINT Research Seminar: Validated Computation of Special Mathematical Functions
The advent of reliable computing machines, computer algebra systems, and multiple precision computational packages diminished the need for tables of reference values for computing function values by interpolation, but today's numerical analysts, scientific researchers, and software developers still need a way to confirm the accuracy of numerical algorithms that compute mathematical function values. The field of validated computation of mathematical functions explores the development of multiple precision codes that compute certifiably accurate function values that can be used to test the accuracy of function data from personal, commercial, or publicly available codes. We discuss the analysis used to obtain reliable error bounds for floating point approximations and describe the implementation of the work in a publicly available beta site.
Updated on Jan 26, 2022 03:02 AM PST 
Seminar ADJOINT Research Seminar: PostLockdown Dynamics of COVID19 in several key regions of the US
In the context of several key states in the U.S.A, we will review the basics of COVID19 and consider the postlockdown dynamics. In particular we will discuss the main drivers of the disease and the drawbacks to a natural herd immunity strategy. This talk represents joint work with Kamal Barley, Keisha Cook and Abba Gumel.
Updated on Jan 26, 2022 03:02 AM PST 
Workshop 2020 SACNAS – The National Diversity in STEM Conference
The largest multidisciplinary and multicultural STEM diversity event in the country, the SACNAS conference serves to equip, empower, and energize participants for their academic and professional paths in STEM.
For more information, click HERE.
Updated on Nov 23, 2020 09:36 AM PST 
Summer Graduate School Introduction to water waves [Virtual Summer Graduate School]
Organizers: Mihaela Ifrim (University of WisconsinMadison), Daniel Tataru (University of California, Berkeley)Due to the COVID19 pandemic, this summer school will be held online.
The purpose of this two weeks school is to introduce graduate students to the state of the art methods and results in the study of incompressible Euler’s equations in general, and water waves in particular. This is a research area which is highly relevant to many real life problems, and in which substantial progress has been made in the last decade.
The goal is to present the main current research directions in water waves. We will begin with the physical derivation of the equations, and present some of the analytic tools needed in study. The final goal will be twofold, namely (i) to understand the local solvability of the Cauchy problem for water waves, as well as (ii) to describe the long time behavior of solutions.
Through the lectures and associated problem sessions, students will learn about a number of new analysis tools which are not routinely taught in a graduate school curriculum. The goal is to help students acquire the knowledge needed in order to start research in water waves and Euler equations.
Updated on Feb 05, 2021 10:13 AM PST 
Summer Graduate School Séminaire de Mathématiques Supérieures 2020: Discrete Probability, Physics and Algorithms (Montréal, Canada) [Virtual Summer Graduate School]
Organizers: Gérard Ben Arous (New York University, Courant Institute), LEAD Alexander Fribergh (University of Montreal), Lea Popovic (Concordia University)Due to the COVID19 pandemic, this summer school will be held online.
Probability theory, statistics as well as mathematical physics have increasingly been used in computer science. The goal of this school is to provide a unique opportunity for graduate students and young researchers to developed multidisciplinary skills in a rapidly evolving area of mathematics.
The topics would include spin glasses, constraint satisfiability, randomized algorithms, MonteCarlo Markov chains and highdimensional statistics, sparse and random graphs, computational complexity, estimation and approximation algorithms. Those topics will fall into two main categories, on the one hand problems related to spin glasses and on the other hand random algorithms.
The part of the summer school dedicated to spin glasses will be split into three parts: an introductory course about traditional spin glasses followed by two more advanced courses where spin glasses meet computer science in addition to a talk on dynamics of spin glasses. The part of the summer school on random algorithms will consist of an introductory course on phase transitions in large random structures, followed by advanced courses on theoretical bounds for computational complexity in reconstruction and inference, and on understanding rare events in random graphs and models of statistical mechanics.
The two introductory courses on spin glasses and on random algorithms will be accompanied by three exercises sessions of one hour. A one hour exercises session will follow each of the three sessions of a course for both the introductory course on spin glasses and the introductory course on random algorithms. Exercises sessions will be led by an assistant, but will primarily focus on participation of the students.
Updated on May 26, 2020 12:21 PM PDT 
MSRIUP MSRIUP 2020: Branched Covers of Curves
Organizers: Federico Ardila (San Francisco State University), LEAD Duane Cooper (Morehouse College), Maria Franco (Queensborough Community College (CUNY); MSRI  Mathematical Sciences Research Institute), Rebecca Garcia (Sam Houston State University), Edray Goins (Pomona College), Suzanne Weekes (SIAM  Society of Industrial and Applied Mathematics)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 2020, MSRIUp will focus on Branched Covers of Curves. The research program will be led by Dr. Edray Goins, Professor of Mathematics at Pomona College.
Updated on Jul 22, 2020 03:11 PM PDT 
Workshop [Moved Online] Critical Issues in Mathematics Education 2020: Today’s Mathematics, Social Justice, and Implications for Schools
Organizers: Meredith Broussard (New York Unviersity), Victor Donnay (Bryn Mawr College), Courtney Ginsberg (Math for America), Luis Leyva (Vanderbilt University), Candice Price (Smith College), Chris Rasmussen (San Diego State University), LEAD Katherine Stevenson (California State University, Northridge), William Tate (Washington University in St. Louis)Due to the COVID19 virus outbreak, the Critical Issues in Mathematics Education 2020 workshop was held online. The full workshop description and list of talks can be found HERE.
On May 22 portions of the Critical Issues in Mathematics Education 2020: Today’s Mathematics, Social Justice, and Implications for Schools workshop will be streamed online via Zoom.
Friday 5/22: 12pm PST (3pm eastern time)
12:00  1:00
Rico Gutstein, Preparing Students Today for Whatever Tomorrow BringsUpdated on May 28, 2020 08:56 AM PDT 
Workshop [Moved Online] Critical Issues in Mathematics Education 2020: Today’s Mathematics, Social Justice, and Implications for Schools
Organizers: Meredith Broussard (New York Unviersity), Victor Donnay (Bryn Mawr College), Courtney Ginsberg (Math for America), Luis Leyva (Vanderbilt University), Candice Price (Smith College), Chris Rasmussen (San Diego State University), LEAD Katherine Stevenson (California State University, Northridge), William Tate (Washington University in St. Louis)Due to the COVID19 virus outbreak, the Critical Issues in Mathematics Education 2020 workshop was held online. The full workshop description and list of talks can be found HERE.
On May 15 portions of the Critical Issues in Mathematics Education 2020: Today’s Mathematics, Social Justice, and Implications for Schools workshop will be streamed online via Zoom.
Friday 5/15: 12pm PST (3pm eastern time)
12:00  1:00
Dan Reinholz, Preparing teachers to notice, name, and disrupt racial and gender inequityUpdated on May 28, 2020 08:53 AM PDT 
Workshop [Moved Online] Critical Issues in Mathematics Education 2020: Today’s Mathematics, Social Justice, and Implications for Schools
Organizers: Meredith Broussard (New York Unviersity), Victor Donnay (Bryn Mawr College), Courtney Ginsberg (Math for America), Luis Leyva (Vanderbilt University), Candice Price (Smith College), Chris Rasmussen (San Diego State University), LEAD Katherine Stevenson (California State University, Northridge), William Tate (Washington University in St. Louis)Due to the COVID19 virus outbreak, the Critical Issues in Mathematics Education 2020 workshop was held online. The full workshop description and list of talks can be found HERE.
Friday 5/8: 12pm PST (3pm eastern time)
12:00  1:00
Nathan Alexander, Mathematical Models in the Sociological Imagination
Lincoln Chandler, Pursuing Racial Equity within SchoolsUpdated on May 12, 2020 08:42 AM PDT 
Workshop [Moved Online] Critical Issues in Mathematics Education 2020: Today’s Mathematics, Social Justice, and Implications for Schools
Organizers: Meredith Broussard (New York Unviersity), Victor Donnay (Bryn Mawr College), Courtney Ginsberg (Math for America), Luis Leyva (Vanderbilt University), Candice Price (Smith College), Chris Rasmussen (San Diego State University), LEAD Katherine Stevenson (California State University, Northridge), William Tate (Washington University in St. Louis)Due to the COVID19 virus outbreak, the Critical Issues in Mathematics Education 2020 workshop was held online. The full workshop description and list of talks can be found HERE.
Friday 5/01: 12pm PST (3pm eastern time)
12:00  1:00 Hyman Bass, 'Mathematics and Social Justice': An undergraduate course. What could this be?
Updated on May 12, 2020 08:41 AM PDT 
Workshop [Moved Online] Critical Issues in Mathematics Education 2020: Today’s Mathematics, Social Justice, and Implications for Schools
Organizers: Meredith Broussard (New York Unviersity), Victor Donnay (Bryn Mawr College), Courtney Ginsberg (Math for America), Luis Leyva (Vanderbilt University), Candice Price (Smith College), Chris Rasmussen (San Diego State University), LEAD Katherine Stevenson (California State University, Northridge), William Tate (Washington University in St. Louis)Due to the COVID19 virus outbreak, the Critical Issues in Mathematics Education 2020 workshop was held online. The full workshop description and list of talks can be found HERE.
Friday 4/24: 12pm PST (3pm eastern time)
12:00  1:00 Padmanabhan Seshaiyer, K12 to PostSecondary Viewpoint Critical Issues in Mathematics Education
Updated on May 12, 2020 08:41 AM PDT 
Workshop [Moved Online] Critical Issues in Mathematics Education 2020: Today’s Mathematics, Social Justice, and Implications for Schools
Organizers: Meredith Broussard (New York Unviersity), Victor Donnay (Bryn Mawr College), Courtney Ginsberg (Math for America), Luis Leyva (Vanderbilt University), Candice Price (Smith College), Chris Rasmussen (San Diego State University), LEAD Katherine Stevenson (California State University, Northridge), William Tate (Washington University in St. Louis)Due to the COVID19 virus outbreak, the Critical Issues in Mathematics Education 2020 workshop was held online. The full workshop description and list of talks can be found HERE.
Friday 4/17: 12pm PST (3pm eastern time)12:00  1:00 Some unintended consequences of active learning
Sage ForbesGray, Sunset Park High School, Brooklyn, NY, Mfa Master Teacher
Sharon Collins  New Heights Academy Charter School, NYC, MfA Master Teacher;
Kate Belin  Fannie Lou High School, NYC, MfA Master Teacher;Moderator: Courtney Ginsberg, MfA
Host: Katherine Stevenson, CSUNUpdated on May 12, 2020 08:41 AM PDT 
Workshop [Moved Online] Critical Issues in Mathematics Education 2020: Today’s Mathematics, Social Justice, and Implications for Schools
Organizers: Meredith Broussard (New York Unviersity), Victor Donnay (Bryn Mawr College), Courtney Ginsberg (Math for America), Luis Leyva (Vanderbilt University), Candice Price (Smith College), Chris Rasmussen (San Diego State University), LEAD Katherine Stevenson (California State University, Northridge), William Tate (Washington University in St. Louis)Due to the COVID19 virus outbreak, the Critical Issues in Mathematics Education 2020 workshop was held online. The full workshop description and list of talks can be found HERE.
Friday 4/10: 12pm PST (3pm eastern time)
12:00  1:00 Estrella Johnson, Some unintended consequences of active learning
Updated on May 12, 2020 08:40 AM PDT 
Workshop {Moved Online] Critical Issues in Mathematics Education 2020: Today’s Mathematics, Social Justice, and Implications for Schools
Organizers: Meredith Broussard (New York Unviersity), Victor Donnay (Bryn Mawr College), Courtney Ginsberg (Math for America), Luis Leyva (Vanderbilt University), Candice Price (Smith College), Chris Rasmussen (San Diego State University), LEAD Katherine Stevenson (California State University, Northridge), William Tate (Washington University in St. Louis)Due to the COVID19 virus outbreak, the Critical Issues in Mathematics Education 2020 workshop was held online. The full workshop description and list of talks can be found HERE.
Friday 3/27: Starting at 12pm PST (3pm eastern time)
12:00p  1:00p
Nicol Turner Lee, Brookings Inst., Center for Tech Innov.  Unconscious Bias
Saber Khan, Processing Foundation, leader of #EthicalCS  Identity & EthicsUpdated on May 12, 2020 08:40 AM PDT