
Workshop Modern Math Workshop 2024
Updated on Jul 24, 2024 04:45 PM PDT 
Workshop Critical Issues in Mathematics Education 2025: K12 Mathematics Literacy for 21stCentury Citizenship
Organizers: David Barnes (National Council of Teachers of Mathematics (NCTM)), Marta Civil (University of Arizona), Josué Cordones (Bronx Collaborative High School), Bill Crombie (The Algebra Project), Courtney Ginsberg (Math for America), Mark Hoover (University of Michigan), Emille Lawrence (University of San Francisco), Maisha Moses (The Young People's Project), Benjamin Moynihan (The Algebra Project, Inc.), Karen Saxe (Macalester College), Robin Wilson (Loyola Marymount University)Activist Bob Moses argued that mathematical literacy was the next civil rights front line. The 2025 CIME workshop will explore what mathematical literacy might mean and why it still matters for citizenship now and in the future. The workshop’s longterm impact relies on the participation of research mathematicians, mathematics educators, educational researchers, teachers of school mathematics, and policymakers working across different perspectives and roles to foster collaboration that will raise the floor for mathematical literacy for citizenship now and in the future.
Updated on Aug 15, 2024 03:00 PM PDT 
Workshop 2025 Workshop on Mathematics and Racial Justice
Organizers: Nathan Alexander (Howard University), Ron Buckmire (Marist College), Kari Kokka (University of Nevada, Las Vegas), Omayra Ortega (Sonoma State University), Victor Piercey (Ferris State University), Robin Wilson (Loyola Marymount University)The overarching goal of the 2025 Workshop on Mathematics and Racial Justice is to extend our explorations of how the mathematical sciences plays a central role in today's movement for racial justice. We will examine the various systems identified in the 2021 Math and Racial Justice workshop and consider the impact of these systems on BIPOC (Black, Indigenous, and people of color) communities. This workshop defines racial justice as 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 BIPOC people. This workshop 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 eradicate racial disparities in society. Researchers with expertise or interest in problems at the intersection of the mathematical sciences and racial justice are strongly encouraged to participate. Thanks to funding from the Mathematical Sciences Institutes Diversity Initiative, there is financial support available for a limited number of attendees. This inperson workshop will take place over three days, May 79, 2025, at SLMath in Berkeley, CA. The themes for this year’s workshop are 1) developing racial literacy, 2) science and technology studies, 3) law and policy, and 4) education.
Updated on Aug 22, 2024 11:43 AM PDT 
Summer Graduate School Local Limits of Random Graphs (ParisSaclay University, France)
Organizers: Ainhoa AparicioMonforte (Fondation Mathématique Jacques Hadamard (FMJH)), Alexandra Genesco (Fondation Mathématique Jacques Hadamard (FMJH)), LEAD Pascal Massart (Fondation Mathématique Jacques Hadamard (FMJH))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 BenjaminiSchramm (or unbiased) limits and unimodularity, as well as the most important applications. The lectures will be delivered by Nicolas Curien (Prof. ParisSaclay University) and Justin Salez (Prof. Université ParisDauphine) 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 
Summer Graduate School 2025 PIMSCRM Summer School in Probability (Vancouver, Canada)
Organizers: Louigi AddarioBerry (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 4week courses along with three minicourses. 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 Mar 22, 2024 01:06 PM PDT 
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)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 “onramp” 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 cuttingedge 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 Aug 29, 2024 11:42 AM PDT 
Summer Graduate School Statistical Optimal Transport (SLMath)
Organizers: LEAD Promit Ghosal (Brandeis University), Jonathan NilesWeed (New York University, Courant Institute), Marcel Nutz (Columbia University)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 Aug 26, 2024 02:09 PM PDT 
Summer Graduate School Mathematics of Climate, Sea Ice, and Polar Ecosystems (Fairbanks, Alaska)
Organizers: Kenneth Golden (University of Utah), Jody Reimer (University of Utah)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 
Summer Graduate School Graphical Models in Algebraic Combinatorics (SLMath)
Organizers: Christian Gaetz (University of California, Berkeley), David Keating (University of Illinois at UrbanaChampaign), Melissa ShermanBennett (University of California, Davis), LEAD Anna Weigandt (University of Minnesota)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 sixvertex model, an understanding of their algebraic applications, and a taste of current research directions.
Updated on Aug 26, 2024 02:08 PM PDT 
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 (MaxPlanckInstitut)This summer school will offer a handson 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 
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)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 Sep 05, 2024 03:17 PM PDT 
Summer Graduate School Computer Assisted Proofs in Applied Mathematics (SLMath)
Organizers: LEAD Jonathan Jaquette (New Jersey Institute of Technology), Evelyn Sander (George Mason University)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 Apr 08, 2024 08:55 AM PDT 
Summer Graduate School Geometry and Dynamics in Higher Rank Lie Groups (St. Mary's College)
Organizers: Richard Canary (University of Michigan), Sara Maloni (University of Virginia), Wenyu Pan (University of Toronto), Cagri Sert (University of Zurich), LEAD Tengren Zhang (National University of Singapore)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 Apr 18, 2024 08:43 AM PDT 
Summer Graduate School Topological and Geometric Structures in Low Dimensions (SLMath)
Organizers: LEAD Kenneth Bromberg (University of Utah), Kathryn Mann (Cornell University)This school will serve as an introduction to the SLMath semester “Topological and Geometric Structures in LowDimensions”. The school consists of two minicourses: one on Teichmüller Theory and Hyperbolic 3Manifolds and the other on Anosov Flows on Geometric 3Manifolds. Both topics lie at the interface of lowdimensional geometric topology (specifically, surfaces, foliations, and 3manifolds) and lowdimensional 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 Mar 21, 2024 09:48 AM PDT
Past Educational Events

Summer Graduate School Mathematical Spin Glass Theory (Courant, NY)
Organizers: Antonio Auffinger (Northwestern University), WeiKuo Chen (University of Minnesota), LEAD Eliran Subag (Weizmann Institute of Science)While their original aim was to explain the strange behavior of certain magnetic alloys, the study of spin glass models has led to a farreaching and beautiful physical theory whose techniques have been applied to a myriad of problems in theoretical computer science, statistics, optimization and biology. As many of the physical predictions can be formulated as purely mathematical questions, often extremely hard, about large random systems in high dimensions, in recent decades a new area of research has emerged in probability theory around these problems.
Mathematically, a meanfield spin glass model is a Gaussian process (random function) on the discrete hypercube or the sphere in high dimensions. A fundamental challenge in their analysis is, roughly speaking, to understand the size and structure of their superlevel sets as the dimension tends to infinity, which are often studied through smooth objects like the free energy and Gibbs measure whose origin is in statistical physics. The aim of the summer school is to introduce students to landmark results on the latter while emphasizing the techniques and ideas that were developed to obtain them, as well as exposing the students to some recent research topics.
Updated on Apr 19, 2024 03:00 PM PDT 
Summer Graduate School Analysis of Partial Differential Equations (Okinawa Institute of Science and Technology)
Organizers: Ugur Abdulla (Okinawa Institute of Science and Technology), GuiQiang Chen (University of Oxford)This two week summer school, jointly organized by SLMath with OIST, will offer the following two minicourses:
 Measuretheoretical analysis, divergencemeasure fields, and nonlinear PDEs of divergence form
This course will present some recent developments in the theory of divergencemeasure fields via measuretheoretic analysis and its applications to the analysis of nonlinear PDEs of conservative form – nonlinear conservation laws.  Perron’s method and Wienertype criteria in the potential theory of elliptic and parabolic PDEs
This course will present some recent developments precisely characterizing the regularity of the point at ∞ for second order elliptic and parabolic PDEs and broadly extending the role of the Wiener test in classical analysis.
Updated on Sep 09, 2024 12:17 PM PDT  Measuretheoretical analysis, divergencemeasure fields, and nonlinear PDEs of divergence form

Summer Graduate School Multigraded and differential graded methods in commutative algebra (St. Mary's College)
Organizers: Michael Brown (Auburn University), Claudia Miller (Syracuse University)This summer graduate school focuses on modern homological techniques in commutative algebra, specifically those involving multigraded and differential graded structures. These topics have a long and rich history, but neither is generally covered in graduate courses. Moreover, recent developments have exhibited exciting interplay between the two subjects.
The purpose of the school is to introduce the participants to modern themes on these topics, including Koszul duality for toric varieties and differential graded algebra structures on resolutions. The school will consist of two lectures each day and carefully planned problem sessions designed to reinforce the foundational material, with an emphasis on using computational tools such as the symbolic algebra program Macaulay2.
Updated on Aug 08, 2024 02:59 PM PDT 
Summer Graduate School Mathematics of General Relativity and Fluids (FORTH, Greece)
Organizers: LEAD Mihalis Dafermos (Princeton University), Grigorios Fournodavlos (University of Crete), Juhi Jang (University of Southern California), Igor Rodnianski (Princeton University)This summer school will give an accessible introduction to the mathematical study of general relativity, a field which in the past has had barriers to entry due to its interdisciplinary nature, and whose study has been concentrated at specific institutions, to a wider audience of students studying at institutions throughout the U.S., Europe and Greece. Another goal of the summer school will be to demonstrate the common underlying mathematical themes in many problems which traditionally have been studied by separate research communities.
Updated on Oct 03, 2024 01:48 PM PDT 
Summer Graduate School Introduction to the Theory of Algebraic Curves (UC Berkeley)
Organizers: Izzet Coskun (University of Illinois, Chicago), Eric Larson (Brown University), LEAD Hannah Larson (University of California, Berkeley), Isabel Vogt (Brown University)In the last few years, there have been extraordinary developments in many aspects of curve theory. Beginning with many examples in low genus, this summer school will introduce the participants to the background behind these developments in the following areas:
 moduli spaces of stable curves
 Brill–Noether theory
 the extrinsic geometry of the curves in projective space
We will also include an introduction to some open problems at the forefront of these active areas.
Updated on Jul 17, 2024 03:37 PM PDT 
Summer Graduate School Stochastic Quantization (SLMath)
Organizers: Massimiliano Gubinelli (University of Oxford), Martina Hofmanova (Universität Bielefeld), LEAD Hao Shen (University of WisconsinMadison), Lorenzo Zambotti (Sorbonne Université)This summer school will familiarize students with the basic problems of the mathematical theory of Euclidean quantum fields. The lectures will introduce some of its prominent models and analyze them via the so called “stochastic quantization” methods, involving recently developed stochastic and PDE techniques. This is an area which is highly interdisciplinary combining ideas ranging from the theory of partial differential equations, to stochastic analysis, to mathematical physics. Our goal is to bring together students who are perhaps familiar with some but not all of these subjects and teach them how to integrate these different tools to solve cuttingedge problems of Euclidean quantum field theory.
Updated on Jul 01, 2024 03:11 PM PDT 
Summer Graduate School Koszul Duality in the Local Langlands Program (St. Mary's College)
Organizers: Clifton Cunningham (University of Calgary), LEAD Sarah Dijols (University of British Columbia)This summer school provides the mathematical background to recognize Koszul duality in representation theory. The school is especially oriented toward applications in the local Langlands program, with an emphasis on real groups. As Koszul duality patterns have been initially observed in the context of Hecke algebras, our school will also introduce the students to Hecke algebras and their categorifications.
Updated on Jul 11, 2024 10:27 AM PDT 
Summer Graduate School Hprinciple (Sendai, Japan)
Organizers: Emmy Murphy (Princeton University), Takashi Tsuboi (RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program)This two week summer school, jointly organized by SLMath with RIKEN, will introduce graduate students to the theory of hprinciples. After building up the theory from basic smooth topology, we will focus on more recent developments of the theory, particularly applications to symplectic and contact geometry, fluid dynamics, and foliation theory.
hprinciples in smooth topology (Emmy Murphy)
Riemannian geometry and applications to fluid dynamics (Dominik Inauen)
Contact and symplectic flexibility (Emmy Murphy)
Foliation theory and diffeomorphism groups (Takashi Tsuboi)Updated on Jul 31, 2024 10:36 AM PDT 
Summer Graduate School Introduction to QuantumSafe Cryptography (IBM Zurich)
Organizers: Jonathan Bootle (IBM Zürich Research Laboratory), Luca De Feo (IBM Zürich Research Laboratory)This two week summer school, jointly organized by SLMath with IBM Zurich, will introduce students to the mathematics and algorithms used in the design and analysis of quantumsafe cryptosystems. Each week will be dedicated to two of the four families of quantumsafe schemes.
Updated on Sep 26, 2024 11:17 AM PDT 
Summer Graduate School Special Geometric Structures and Analysis (St. Mary's College)
Organizers: Costante Bellettini (University College London), LEAD Eleonora Di Nezza (Institut de Mathématiques de Jussieu; École Normale Supérieure), Song Sun (Zhejiang University; University of California, Berkeley)This summer school will serve as an introduction to the SLMath program "Special geometric structures and analysis". There will be two minicourses: one in Geometric Measure theory and the other in Microlocal Analysis. The aim is to give the basic notions of two subjects also treated during the program.
Updated on Jun 27, 2024 01:13 PM PDT 
Summer Graduate School Particle interactive systems: Analysis and computational methods (SLMath)
Organizers: LEAD Irene M. Gamba (University of Texas, Austin), Francois Golse (Centre de Mathématiques Laurent Schwartz, École Polytechnique), LEAD Qin Li (University of WisconsinMadison), Chiara Saffirio (Universität Basel)This summer school will focus on the introductory notions related to the passage of Newtonian and quantum manybody dynamics to kinetic collisional models of Boltzmann flow models arising in statistical sciences in connection to model reductions when continuum macro dynamics arises; and their numerical schemes associated to transport of kinetic processes in classical and data driven mean field dynamics incorporating recent tools from computational kinetics and data science tools. There will be two sets of lectures: “From Newton to Boltzmann to Fluid dynamics”, and “Kinetic collisional theory in mean field regimes: analysis, discrete approximations, and applications”. Each lecture series will be accompanied by a collaboration session, led by the lecturer and teaching assistants. The purpose of the collaboration sessions is to encourage and strengthen higherlevel thinking of the materials taught in the lectures and to direct further reading for interested students. Interactive learning activities will be conducted. For example, students will be given problem sets associated with the lectures and will work in small groups to discuss concepts and/or find solutions to assigned problems. The students will also be encouraged to give oral or poster presentations on their solutions or other materials relevant to the course.
Updated on Jun 24, 2024 03:48 PM PDT 
MSRIUP MSRIUP 2024: Mathematical Endocrinology
Organizers: Alexander DiazLopez (Villanova University), Maria Mercedes Franco (Queensborough Community College (CUNY)), Rebecca Garcia (Colorado College), LEAD Candice Price (Smith College), Robin Wilson (Loyola Marymount University)The MSRIUP summer program is designed to serve a diverse group of undergraduate students who would like to conduct research in the mathematical sciences.
In 2024, MSRIUP will focus on Mathematical Endocrinology. The research program will be led by Dr. Erica J. Graham, Associate Professor in the Department of Mathematics at Bryn Mawr College.
Updated on Mar 07, 2024 11:11 AM PST 
Summer Graduate School Séminaire de Mathématiques Supérieures 2024: Flows and Variational Methods in Riemannian and Complex Geometry: Classical and Modern Methods (Montréal, Canada)
Organizers: Vestislav Apostolov (Université du Québec à Montréal), Eleonora Di Nezza (Institut de Mathématiques de Jussieu; École Normale Supérieure), Pengfei Guan (McGill University), Spiro Karigiannis (University of Waterloo), Julien Keller (Université du Québec à Montréal), Alina Stancu (Concordia University), Valentino Tosatti (New York University, Courant Institute)This school will present various developments in Riemannian and Kähler geometry around the notion of curvature seen as a tool to describe and understand the geometry of the objects. The school will give graduate students the opportunity to learn key ideas and techniques of the field, with an emphasis on solidifying foundations in view of potential future research. The first week will be centered around the question of the existence of Kähler metrics with special curvature properties and the famous YauTianDonaldson conjecture. The second week will focus on geometric flows in Riemannian and complex geometry.
Updated on Mar 18, 2024 02:15 PM PDT 
MAYUP Mathematically Advancing Young Undergraduates Program (MAYUP) 2024
Organizers: Lakeshia Jones (Clark Atlanta University), Shelby Wilson (Johns Hopkins University Applied Physics Lab)Updated on May 15, 2024 09:47 AM PDT 
Workshop A Celebration for Women in Mathematics (2024)  May 12 Initiative
Organizers: Ini Adinya (University of Ibadan), Nasrin Altafi (Queen's University), MariaGrazia Ascenzi (University of California Los Angeles), Shanna Dobson (University of California, Riverside), Malena Espanol (Arizona State University), Eleonore Faber (KarlFranzensUniversität Graz; University of Leeds), Anna Fino (Università di Torino; Florida International University), Adi Glucksam (Northwestern University), Eloísa Grifo (University of Nebraska), Céleste Hogan (Texas Tech University), Ellen Kirkman (Wake Forest University), KueiNuan Lin (Pennsylvania State University), Liangbing Luo (Lehigh University), LEAD Ornella Mattei (San Francisco State University), Claudia Miller (Syracuse University), Julia Plavnik (Indiana University), Claudia Polini (University of Notre Dame), Hema Srinivasan (University of Missouri), Špela Špenko (Université Libre de Bruxelles)The Simons Laufer Mathematical Sciences Institute (SLMath) celebrates the "May 12 Initiative" with a panel discussion and social event open to all on the topic "Being a Woman in Mathematics". This is a hybrid event taking place on Zoom and in person at SLMath. This event is free and open to worldwide participation.
If you plan to participate online, please connect using this LINK.
Updated on May 03, 2024 01:11 PM PDT 
Workshop Critical Issues in Mathematics Education 2024: Bringing Innovation to Scale: TeachingFocused Faculty as Change Agents
Organizers: Debra Carney (Colorado School of Mines), Dave Kung (St. Mary's College of Maryland), P. Gavin LaRose (University of Michigan), Mary Pilgrim (San Diego State University), Chris Rasmussen (San Diego State University), Natasha Speer (University of Maine), Cristina Villalobos (University of Texas Rio Grande Valley)The undergraduate mathematics education system remains a huge barrier to college completion and to equity in higher education. The problem in entry level mathematics courses is not a lack of innovation. Numerous projects and institutions have created, piloted, and occasionally replicated effective reform efforts that overcame particular challenges, like the need to improve pedagogical practices or attend to gender equity. The biggest barrier to systemic reform – implementing many of these researchbacked innovations at scale – is a structural one, particularly at large researchfocused institutions. This workshop will bring together a group of stakeholders to explore a new avenue for change, the rise of teachingfocused faculty at researchintensive institutions who increasingly influence introductory coursework. By creating a network that connects these faculty across institutions, change at scale across 50, 100, or even more institutions becomes possible – on issues ranging from pedagogy to equity to curricular innovation. Creating such structures would also allow for bringing future innovations to scale much more quickly than is currently possible.
Updated on Apr 19, 2024 06:56 AM PDT 
Workshop Hot Topics: MIP* = RE and the Connes’ Embedding Problem
Organizers: Michael Chapman (New York University, Courant Institute), Anand Natarajan (Massachusetts Institute of Technology), William Slofstra (University of Waterloo), John Wright (University of Texas, Austin), Henry Yuen (Columbia University)This workshop is about the recent MIP*=RE result from quantum computational complexity, and the resulting resolution of the Connes embedding problem from the theory of von Neumann algebras. MIP*=RE connects the disparate areas of computational complexity theory, quantum information, operator algebras, and approximate representation theory. The aim of this workshop is to bridge this divide, by giving an indepth exposition of the techniques used in the proof of MIP*=RE, and highlighting perspectives on the MIP*=RE result from operator algebras and approximate representation theory. In particular, this workshop will highlight connections with group stability, something that has not been covered in previous workshops. In addition to increasing understanding of the MIP*=RE proof, we hope that this will open up further applications of the ideas behind MIP*=RE in operator algebras.
Updated on Oct 25, 2023 11:46 AM PDT 
Summer Graduate School Foundations and Frontiers of Probabilistic Proofs (Zürich, Switzerland)
Organizers: Alessandro Chiesa (École Polytechnique Fédérale de Lausanne (EPFL))Proofs are at the foundations of mathematics. Viewed through the lens of theoretical computer science, verifying the correctness of a mathematical proof is a fundamental computational task. Indeed, the P versus NP problem, which deals precisely with the complexity of proof verification, is one of the most important open problems in all of mathematics.
The complexitytheoretic study of proof verification has led to exciting reenvisionings of mathematical proofs. For example, probabilistically checkable proofs (PCPs) admit localtoglobal structure that allows verifying a proof by reading only a minuscule portion of it. As another example, interactive proofs allow for verification via a conversation between a prover and a verifier, instead of the traditional static sequence of logical statements. The study of such proof systems has drawn upon deep mathematical tools to derive numerous applications to the theory of computation and beyond.
In recent years, such probabilistic proofs received much attention due to a new motivation, delegation of computation, which is the emphasis of this summer school. This paradigm admits ultrafast protocols that allow one party to check the correctness of the computation performed by another, untrusted, party. These protocols have even been realized within recentlydeployed technology, for example, as part of cryptographic constructions known as succinct noninteractive arguments of knowledge (SNARKs).
This summer school will provide an introduction to the field of probabilistic proofs and the beautiful mathematics behind it, as well as prepare students for conducting cuttingedge research in this area.
Updated on Oct 20, 2023 01:17 PM PDT 
Summer Graduate School Mathematics of Big Data: Sketching and (Multi) Linear Algebra (IBM Almaden)
Organizers: Kenneth Clarkson (IBM Research Division), Lior Horesh (IBM Thomas J. Watson Research Center), Misha Kilmer (Tufts University), Tamara Kolda (MathSci.ai), Shashanka Ubaru (IBM Thomas J. Watson Research Center)This summer school will introduce graduate students to sketchingbased approaches to computational linear and multilinear algebra. Sketching here refers to a set of techniques for compressing a matrix, to one with fewer rows, or columns, or entries, usually via various kinds of random linear maps. We will discuss matrix computations, tensor algebras, and such sketching techniques, together with their applications and analysis.
Updated on Nov 03, 2022 11:59 AM PDT 
Summer Graduate School Concentration Inequalities and Localization Techniques in High Dimensional Probability and Geometry (SLMath)
Organizers: Max Fathi (Université Paris Cité), Dan Mikulincer (Massachusetts Institute of Technology)The goal of the summer school is for the students to first become familiar with the concept of concentration of measure in different settings (Euclidean, Riemannian and discrete), and the main open problems surrounding it. The students will later become familiar with the proof techniques that involve the different types of localization and obtain expertise on the ways to apply the localization techniques. After attending the graduate school, the students are expected to have the necessary background that would give them a chance to both conduct research around open problems in concentration of measure, find new applications to existing localization techniques and perhaps also develop new localization techniques.
Updated on Oct 20, 2023 09:42 AM PDT 
Summer Graduate School Introduction to Derived Algebraic Geometry (UC Berkeley)
Organizers: Benjamin Antieau (Northwestern University), Dmytro Arinkin (University of WisconsinMadison)Derived algebraic geometry is an ‘update’ of algebraic geometry using ‘derived’ (roughly speaking, homological) techniques. This requires recasting the very foundations of the field: rings have to be replaced by differential graded algebras (or other forms of derived rings), categories by higher categories, and so on. The result is a powerful set of new tools, useful both within algebraic geometry and in related areas. The school serves as an introduction to these techniques, focusing on their applications.
The school is built around two related courses on geometric (‘derived spaces’) and categorical (‘derived categories’) aspects of the theory. Our goal is to explain the key ideas and concepts, while trying to keep technicalities to a minimum.
Updated on Jun 28, 2023 04:05 PM PDT 
Summer Graduate School Machine Learning (UC San Diego)
Organizers: Ery AriasCastro (University of California, San Diego), Mikhail Belkin (University of California, San Diego), Yusu Wang (Univ. California, San Diego), Lily Weng (University of California, San Diego)The overarching goal of this summer school is to expose the students both to modern forms of unsupervised learning — in the form of geometrical and topological data analysis — and to supervised learning — in the form of (deep) neural networks applied to regression/classification problems. The organizers have opted for a lighter exposure to a broader range of topics. Using the metaphor of a meal, we are offering 2 + 2 samplers — geometry and topology for data analysis + theoretical and practical deep learning — rather than 1 + 1 main dishes. The main goal, thus, is to inspire the students to learn more about one or several of the topics covered in the school.
The expected learning outcomes for students attending the school are the following:
1. An introduction to how concepts and tools from geometry and topology can be leveraged to perform data analysis in situations where the data are not labeled.
2. An introduction to recent and ongoing theoretical and methodological/practical developments in the use of neural networks for data analysis (deep learning).
Updated on Aug 29, 2023 11:59 AM PDT 
Summer Graduate School Topics in Geometric Flows and Minimal Surfaces (St. Mary's College)
Organizers: Ailana Fraser (University of British Columbia), LanHsuan Huang (University of Connecticut), Catherine Searle (Wichita State University), Lu Wang (Yale University)This graduate summer school will introduce students to two important and interrelated fields of differential geometry: geometric flows and minimal surfaces.
Geometric flows have had far reaching influences on numerous branches of mathematics and other scientific disciplines. An outstanding example is the completion of Hamilton’s Ricci flow program by Perelman, leading to the resolution of the Poincare conjecture and Thurston’s geometrization conjecture for 3manifolds. In this part of the summer school, students will be guided through basic topics and ideas in the study of geometric flows.
Since Penrose used variations of volume to formulate and study black holes in general relativity (in his Nobel prizewinning work), the intriguing connections between minimal surfaces and general relativity have been a strong driving force for the modern developments of both research areas. This part of the summer school will introduce students to the basic theory of minimal submanifolds and its applications in Riemannian geometry and general relativity.
The curriculum of this program will be accessible and will have a broad appeal to graduate students from a variety of mathematical areas, introducing some of the latest developments in each area and the remaining open problems therein, while simultaneously emphasizing their synergy.
Updated on Jun 29, 2023 10:56 AM PDT 
Summer Graduate School Séminaire de Mathématiques Supérieures 2023: Periodic and Ergodic Spectral Problems (Montréal, Canada)
Organizers: Alexander Elgart (Virginia Polytechnic Institute and State University), Vojkan Jaksic (McGill University), Svetlana Jitomirskaya (University of California, Irvine), Ilya Kachkovskiy (Michigan State University), Jean Lagacé (King's College London), Leonid Parnovski (University College London)This two week school will focus on spectral theory of periodic, almostperiodic, and random operators. The main aim of this school is to teach the students who work in one of these areas, methods used in parallel problems, explain the similarities between all these areas and show them the `big picture'.
Updated on Apr 06, 2023 06:24 PM PDT 
Summer Graduate School Mathematics and Computer Science of Market and Mechanism Design (SLMath)
Organizers: Yannai Gonczarowski (Harvard University), Irene Lo (Stanford University), Ran Shorrer (Pennsylvania State University), LEAD Inbal TalgamCohen (TechnionIsrael Institute of Technology)This school is associated with an upcoming research program at MSRI under the same title. The goal of the school is to equip students unfamiliar with these topics with the mathematical and theoretical computer science toolbox that forms the foundation of market and mechanism design.
Updated on Jun 28, 2023 01:19 PM PDT 
Summer Graduate School Algebraic Methods for Biochemical Reaction Networks (Leipzig, Germany)
Organizers: Timo de Wolff (TU Braunschweig), LEAD Alicia Dickenstein (University of Buenos Aires), Elisenda Feliu (University of Copenhagen)The aim of the course is to learn how tools from algebraic geometry (in particular, from computational and real algebraic geometry) can be used to analyze standard models in molecular biology. Particularly, these models are key ingredients in the development of Systems and Synthetic biology, two active research areas focusing on understanding, modifying, and implementing the design principles of living systems.
We will focus on the mathematical aspects of the methods, and exemplify and apply the theory to real networks, thereby introducing the participants to relevant problems and mechanisms in molecular biology. As a counterpart, however, the participants will also see how this field has in the past challenged current methods, mainly in the realm of real algebraic geometry, and has given rise to new general and purely theoretical results on polynomial equations. We will end our lectures with an overview of open questions in both fields.
Updated on Jun 15, 2023 08:39 AM PDT