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Recent progress on geometric analysis and Riemannian geometry
Organizers: LEAD Lan-Hsuan Huang (University of Connecticut), Andre Neves (University of Chicago), Richard Schoen (Stanford University), LEAD Catherine Searle (Wichita State University), Guofang Wei (University of California, Santa Barbara)<p>The Hopf fibration of <span class="math-tex">\(S^3 \space by \space S^1\)</span></p>This workshop will bring together researchers at the frontiers of geometric analysis and Riemannian geometry, with a focus on recent advances on geometric flows, geometric problems in mathematical relativity, global Riemannian geometry, and minimal submanifolds. These areas have shown highly intriguing interactions in recent years and we expect this workshop will provide a unique opportunity to facilitate these emerging links.
Updated on Aug 13, 2024 05:45 PM PDT -
Modern Math Workshop 2024
Updated on Jul 24, 2024 04:45 PM PDT -
Geometry and analysis of special structures on manifolds
Organizers: Anna Fino (Università di Torino; Florida International University), Mark Haskins (Duke University), Tristan Riviere (ETH Zurich), Neshan Wickramasekera (University of Cambridge)The analysis of solutions to nonlinear geometric PDEs with higher-dimensional singular sets has seen some notable recent advances, but many fundamental questions still remain open. This workshop will bring together a wide array of researchers working in differential geometry, gauge theory, nonlinear PDEs, microlocal analysis, the calculus of variations and geometric measure theory, with the goal of describing recent advances, advertising recent technical breakthroughs and forging new connections.
Updated on Aug 13, 2024 05:51 PM PDT -
Hot Topics: Life after the Telescope Conjecture
Organizers: LEAD Agnes Beaudry (University of Colorado), Michael Hill (University of Minnesota), Vesna Stojanoska (University of Illinois at Urbana-Champaign)In June 2023, Burklund, Hahn, Levy, and Schlank surprised the homotopy theory community when they announced a disproof of Ravenel's Telescope Conjecture, a fundamental problem of homotopy theory which had been open for 40 years and was believed to be out of reach. The disproof of the Telescope Conjecture combines some of the most exciting recent developments in homotopy theory. This includes fundamental work on red-shift phenomena and descent in algebraic K-theory, trace methods based on a novel approach to topological Hochschild and cyclic homology, ambidexterity in chromatic homotopy theory, and more.
The workshop will explore this amazing body of work, culminating in its synthesis and ingenious application to disprove the Telescope Conjecture.
Updated on Aug 13, 2024 04:59 PM PDT -
Connections Workshop: Probability and Statistics of Discrete Structures
Organizers: Christina Goldschmidt (University of Oxford), Po-Ling Loh (University of Cambridge), Kavita Ramanan (Brown University), Dana Randall (Georgia Institute of Technology), LEAD Nike Sun (Massachusetts Institute of Technology)AI-generated interpretation of a random networkThis two-day workshop will bring together researchers from discrete mathematics, probability theory, theoretical computer science, and statistics to explore topics at their interface. The focus will be on probability and statistics of random discrete structures, as well as their applications, including in computer science and physical systems. The workshop will celebrate academic and gender diversity, bringing together women and men at junior and senior levels of their careers from mathematics, physics, and computer science.
Updated on May 30, 2023 03:32 PM PDT -
Introductory Workshop: Probability and Statistics of Discrete Structures
Organizers: Louigi Addario-Berry (McGill University), LEAD Shankar Bhamidi (University of North Carolina), Christina Goldschmidt (University of Oxford), Dana Randall (Georgia Institute of Technology), Perla Sousi (University of Cambridge), Remco van der Hofstad (Technische Universiteit Eindhoven)Visualization of a network constructed using simple probabilistic rules, showing the emergence of hubs and other macroscopic network phenomenon. From https://graph-tool.skewed.deNetworks, graph driven algorithms, and dynamics on graphs such as epidemics, random walks and centrality measures all play a major role, both in our daily lives as well as many scientific and engineering disciplines. This introductory workshop will bring together experts and junior researchers in combinatorics, probability, and statistics to share a broad vision of major challenges and objectives, with a primary focus on models of random graphs and their limits, network inference, dynamic processes on networks and algorithms and optimization on random structures.
Updated on May 30, 2023 11:38 AM PDT -
Connections Workshop: Extremal Combinatorics
Organizers: Julia Böttcher (London School of Economics and Political Science), Anita Liebenau (UNSW Sydney), LEAD Maya Stein (Universidad de Chile)This workshop will bring together promising early-career researchers in extremal combinatorics so that they can meet with, forge connections with, and be inspired by the leading figures in the area. The workshop will include lectures, time for collaborative research, and an informal panel discussion session on career issues. This workshop is open to all mathematicians.
Updated on Aug 22, 2024 08:10 AM PDT -
Introductory Workshop - Graph Theory: Extremal, Probabilistic and Structural
Organizers: LEAD Penny Haxell (University of Waterloo), Michael Krivelevich (Tel Aviv University), Alex Scott (University of Oxford)This workshop will feature leading experts in several major areas of graph theory, including extremal, probabilistic and structural aspects of the field. Introductory lectures will form an important part of the program, providing background and motivation, and aimed at a general mathematical audience. Complementing these, research talks will share exciting recent developments in graph theory.
Updated on Aug 18, 2024 05:24 PM PDT -
Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory
Organizers: Dubi Kelmer (Boston College), LEAD Amir Mohammadi (University of California, San Diego), Hong Wang (Massachusetts Institute of Technology)In recent years techniques from harmonic analysis viz. projection theorems have found striking applications in finitary analysis on homogenous spaces. Such quantitative results have many potential applications to analytic number theory. This workshop will bring together researchers in these areas to further explore these connections.
Updated on Apr 12, 2024 09:01 AM PDT -
Algebraic and Analytic Methods in Combinatorics
Organizers: Janos Pach (Alfréd Rényi Institute of Mathematics), Andrew Suk (University of California, San Diego), LEAD Yufei Zhao (Massachusetts Institute of Technology)A degree 7 curve passing through 35 points in the planeMany exciting breakthroughs in combinatorics involve innovative applications of techniques from a wide range of areas such as harmonic analysis, polynomial and linear algebraic methods, spectral graph theory, and representation theory. This workshop will present recent developments in this area and facilitate discussions of research problems.
Updated on Aug 13, 2024 04:44 PM PDT -
Critical Issues in Mathematics Education 2025: K-12 Mathematics Literacy for 21st-Century 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 long-term 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 -
Simons Institute for the Theory of Computing and SLMath Joint Workshop: AI for Mathematics and Theoretical Computer Science
Organizers: LEAD Jeremy Avigad (Carnegie Mellon University), María Inés de Frutos-Fernández (Autonomous University of Madrid), Marijn Heule (Carnegie Mellon University), Floris van Doorn (Universität Bonn), Adam Wagner (Worcester Polytechnic Institute)This is an exciting time for mathematics, as new technologies for mathematical reasoning provide novel opportunities for mathematical research, communication, and discovery. Mathlib, a library of formal mathematics, now contains one-and-a-half million lines of code. Important results like the proof of polynomial Freiman-Ruzsa conjecture by Gowers, Green, Manners, and Tao and the exponential improvement to the upper bound on Ramsey's theorem by Campos, Griffiths, Morris, and Sahasrabudhe were formally verified in the Lean proof assistant even before they were accepted to journals. Open problems in combinatorics have been solved with the help of automated reasoning, and AI introduced by Deepmind was deemed to have performed at the level of a silver medalist at the most recent International Mathematical Olympiad.
This workshop will introduce mathematicians and theoretical computer scientists to the technologies that underlie these recent successes, namely, proof assistants, automated reasoning, and machine learning. Talks each morning will survey exciting results in the field, and in the afternoons, we will help participants experiment with the tools to get a sense of what they do. We will also encourage participants to think about how they can use the new technologies in their research.
Updated on Aug 12, 2024 01:47 PM PDT -
Detection, Estimation, and Reconstruction in Networks
Organizers: Po-Ling Loh (University of Cambridge), Gabor Lugosi (ICREA), Sofia Olhede (École Polytechnique Fédérale de Lausanne (EPFL)), Roberto Oliveira (Institute of Pure and Applied Mathematics (IMPA)), LEAD Miklos Racz (Northwestern University)Recovering communities in a network.In a growing number of applications, one needs to analyze and interpret data coming from massive networks. The statistical problems arising from such applications lead to important mathematical challenges: building novel probabilistic models, understanding the possibilities and limitations for statistical detection and inference, designing efficient algorithms, and understanding the inherent limitations of fast algorithms. The workshop will bring together leading researchers in combinatorial statistics, machine learning, and random graphs in the hope of cross-fertilization of ideas.
Updated on Aug 13, 2024 04:45 PM PDT -
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 anti-racist 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 in-person workshop will take place over three days, May 7-9, 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 -
Connections Workshop: Kinetic theory & Stochastic Partial Differential Equations
Organizers: LEAD Raluca Balan (University of Ottawa), Francois Golse (Centre de Mathématiques Laurent Schwartz, École Polytechnique), Qin Li (University of Wisconsin-Madison), Xiaoming Song (Drexel University), Rongchan Zhu (Beijing Institute of Technology)The Connections workshop will bring together leading experts working at the intersection of kinetic theory and stochastic partial differential equations (SPDEs).
Updated on Jul 24, 2024 09:38 AM PDT -
Introductory Workshop: Kinetic theory & Stochastic Partial Differential Equations
Organizers: Davar Khoshnevisan (University of Utah), Qin Li (University of Wisconsin-Madison), LEAD Konstantin Matetski (Michigan State University), Andrea Nahmod (University of Massachusetts, Amherst), Chiara Saffirio (Universität Basel), Xiangchan Zhu (Chinese Academy of Sciences)Parameter scan for deploying external electric field to control two-stream instability for Vlasov-Poisson.The goal of the workshop is to introduce non-experts to two active research areas: kinetic theory and stochastic partial differential equations. Kinetic theory studies the properties of interacting particle systems modeling various processes in non-equilibrium statistical mechanics. Stochastic partial differential equations describe dynamics subjected to random noises. The methods from the two areas complement each other in studies of the phenomena arising in physics, economics, life sciences, etc.
Updated on Jul 30, 2024 09:11 AM PDT -
Recent Trends in Stochastic Partial Differential Equations
Organizers: Sandra Cerrai (University of Maryland), LEAD Ilya Chevyrev (University of Edinburgh), Yu Deng (University of Chicago), Martina Hofmanova (Universität Bielefeld)The motion of a random string.The workshop aims to bring together researchers working on different facets of stochastic PDEs. The field of stochastic PDEs has seen many new techniques recently appear to tackle different problems, including renormalization, large scale and long-time behaviours, stochastic fluid dynamics, and homogenization. The goal of the workshop is to facilitate discussions and allow different communities to engage with one another one.
Updated on Aug 01, 2024 09:24 AM PDT -
Revisiting Fundamental Problems Workshop: Infinite-Dimensional Division Algebras - Algebraicity and Freeness
Organizers: Agatha Atkarskaya (The Hebrew University of Jerusalem), Jason Bell (University of Waterloo), LEAD Be'eri Greenfeld (University of Washington), Susan Sierra (University of Edinburgh), LEAD James Zhang (University of Washington)Infinite-dimensional division algebras are essential in noncommutative algebra and noncommutative algebraic geometry, yet they have remained cryptic and largely unclassified. This workshop will address three key classical open problems concerning them: the Kurosh Problem, the Free Subalgebra Problem and Artin's Conjecture. We will review decades of progress on these wide-open problems and emphasize novel techniques and emerging theories and concepts that show promise in facilitating breakthroughs.
Updated on Sep 05, 2024 01:42 PM PDT -
Introductory Workshop: Topological and Geometric Structures in Low Dimensions & Geometry and Dynamics for Discrete Subgroups of Higher Rank Lie Groups
Organizers: Federica Fanoni (University of Warwick), Steven Frankel (Washington University), LEAD Yair Minsky (Yale University), Amir Mohammadi (University of California, San Diego), Andrés Sambarino (Université de Paris VII (Denis Diderot) et Université de Paris VI (Pierre et Marie Curie)), Barbara Schapira (Université de Picardie (Jules Verne)), Genevieve Walsh (Tufts University)The joint introductory workshop for the programs in Geometry and Dynamics for Discrete Subgroups of Higher Rank Lie Groups and Topological and Geometric Structures in Low Dimensions will feature lectures introducing subjects of interest to both programs, including Teichmuller Theory, geometry in higher rank, foliations and flows, Anosov groups and thermodynamic formalism, mapping class groups, counting and equidistribution, and related topics. Minicourses will be targeted at early career researchers as well as specialists looking to find connections between the different subjects.
Updated on Jul 23, 2024 02:18 PM PDT -
Recent progress in topological and geometric structures in low dimensions
Organizers: Kenneth Bromberg (University of Utah), Sergio Fenley (Florida State University), Autumn Kent (University of Wisconsin-Madison), LEAD Kathryn Mann (Cornell University), Kasra Rafi (University of Toronto)Foliations around a pseudo-Anosov singularity (Image credit: Chi Cheuk Tsang)This workshop will bring together ideas from diverse areas of mathematics that meet in the setting of geometry and topology in low dimensions. This includes the study of flows, foliations, and fibrations of three-manifolds and the related study of geometry (e.g. hyperbolic or conformal structures) of the manifolds and of the leaves or fibers, and their mapping class groups. This is a rich and interconnected area and many adjacent topics will also be featured.
Created on Jul 22, 2024 11:35 AM PDT -
Homogeneous Dynamics and Anosov representations
Organizers: LEAD Marc Burger (ETH Zürich), Simion Filip (University of Chicago), Ursula Hamenstädt (Rheinische Friedrich-Wilhelms-Universität Bonn), Fanny Kassel (Institut des Hautes Études Scientifiques (IHES)), Hee Oh (Yale University), Jean-François Quint (CNRS - Université de Montpellier)Limit set of an Anosov representationThis workshop will focus on recent advances on geometric and dynamical approaches to the study of discrete subgroups of higher rank Lie groups and their deformation spaces. The goal will be to present results and exchange ideas from different areas of mathematics, and we hope to create bonds between several different mathematical communities.
Updated on Jul 24, 2024 09:47 AM PDT
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