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Upcoming Scientific Events

  1. Seminar GT Program Seminar

    Updated on Sep 15, 2022 10:30 AM PDT
  2. Seminar Q&A Session

    Updated on Aug 24, 2022 12:34 PM PDT
  3. Seminar Extended Q&A

    Updated on Sep 29, 2022 12:36 PM PDT
  4. Seminar What Is Seminar

    Updated on Sep 27, 2022 02:41 PM PDT
  5. Seminar Journal Club

    Updated on Aug 24, 2022 01:41 PM PDT
  6. Seminar GT Program Seminar

    Updated on Sep 15, 2022 10:35 AM PDT
  7. Seminar Q&A Session

    Updated on Aug 24, 2022 12:34 PM PDT
  8. Seminar Extended Q&A

    Updated on Sep 29, 2022 12:36 PM PDT
  9. Seminar What Is Seminar

    Updated on Sep 27, 2022 02:42 PM PDT
  10. Seminar Journal Club

    Updated on Aug 24, 2022 01:41 PM PDT
  11. Seminar FHT Program Seminar

    Updated on Sep 15, 2022 10:55 AM PDT
  12. Seminar FHT Program Seminar

    Updated on Sep 15, 2022 11:00 AM PDT
  13. Workshop [HYBRID WORKSHOP] New four-dimensional gauge theories

    Organizers: Andriy Haydys (Université Libre de Bruxelles), Lotte Hollands (Heriot-Watt University, Riccarton Campus), LEAD Eleny-Nicoleta Ionel (Stanford University), Richard Thomas (Imperial College, London), Thomas Walpuski (Humboldt-Universität)
    Msri pic crop
    Image drawn by Dr. Lotte Hollands

    This will be a hybrid workshop with in-person participation only available to members of the semester-long program and invited guests.  Online participation will be open to all who register.  Due to limited capacity, mathematicians who have not received an official invitation will not be permitted to enter the institute.

    This workshop will bring together researchers working on new four-dimensional gauge theories from the perspectives of differential geometry, algebraic geometry, and physics. Over the last 25 years, physicists have made tantalizing conjectures relating the Vafa–Witten equation to modular forms and the Kapustin–Witten and Haydys–Witten equations to knot theory and the geometric Langlands programme. The analytical challenges in the way of establishing these predictions are now being pursued vigorously.  More recently, algebraic geometers have had enormous success in confirming and refining Vafa–Witten's predictions for projective surfaces. The workshop will serve as a platform for reporting on recent progress and exchanging ideas in all of these areas, with the aim of strengthening existing and fostering new interactions.

    Updated on Sep 20, 2022 11:07 AM PDT
  14. Workshop Modern Math Workshop 2022

    Organizers: Hélène Barcelo (MSRI - Mathematical Sciences Research Institute), Philip Hammer (Institute for Mathematical and Statistical Innovation), Christian Ratsch (University of California, Los Angeles; Institute of Pure and Applied Mathematics (IPAM)), Ulrica Wilson (Morehouse College; Institute for Computational and Experimental Research in Mathematics (ICERM))

    ALL FUNDING FOR THIS WORKSHOP HAS BEEN ALLOCATED

    As part of the Mathematical Sciences Collaborative Diversity Initiatives, the six NSF-funded U.S. mathematics institutes will host their annual SACNAS pre-conference event, the 2022 Modern Math Workshop (MMW). The Modern Math Workshop encourages undergraduates from underrepresented groups to pursue careers in the mathematical sciences, and builds research and networking opportunities among undergraduates, graduate students and recent PhDs.

    Updated on Oct 03, 2022 04:04 PM PDT
  15. Seminar GT Program Seminar

    Updated on Sep 15, 2022 11:11 AM PDT
  16. Seminar Q&A Session

    Updated on Aug 24, 2022 12:34 PM PDT
  17. Seminar Extended Q&A

    Updated on Sep 29, 2022 12:36 PM PDT
  18. Seminar FHT Reading Group

    Updated on Oct 03, 2022 08:28 AM PDT
  19. Seminar What Is Seminar

    Updated on Sep 27, 2022 02:42 PM PDT
  20. Seminar Journal Club

    Updated on Aug 24, 2022 01:41 PM PDT
  21. Seminar FHT Program Seminar

    Updated on Sep 15, 2022 11:12 AM PDT
  22. Seminar FHT Program Seminar

    Updated on Sep 15, 2022 11:13 AM PDT
  23. Seminar GT Program Seminar

    Updated on Sep 15, 2022 11:20 AM PDT
  24. Seminar Q&A Session

    Updated on Aug 24, 2022 12:34 PM PDT
  25. Seminar Extended Q&A

    Updated on Sep 29, 2022 12:36 PM PDT
  26. Seminar FHT Reading Group

    Updated on Oct 03, 2022 08:29 AM PDT
  27. Seminar What Is Seminar

    Updated on Sep 27, 2022 02:43 PM PDT
  28. Seminar Journal Club

    Updated on Aug 24, 2022 01:41 PM PDT
  29. Seminar FHT Program Seminar

    Updated on Sep 15, 2022 11:22 AM PDT
  30. Seminar FHT Program Seminar

    Updated on Sep 15, 2022 11:23 AM PDT
  31. Workshop [HYBRID WORKSHOP] Floer homotopical methods in low dimensional and symplectic topology

    Organizers: LEAD Mohammed Abouzaid (Columbia University), Andrew Blumberg (Columbia University), Jennifer Hom (Georgia Institute of Technology), Emmy Murphy (Northwestern University), Sucharit Sarkar (University of California, Los Angeles)
    Image

    This will be a hybrid workshop with in-person participation only available to members of the semester-long program and invited guests.  Online participation will be open to all who register.  Due to limited capacity, mathematicians who have not received an official invitation will not be permitted to enter the institute.

    The workshop will focus on the interaction between homotopy theory and symplectic topology and low dimensional topology that is mediated by Floer theory. Among the topics covered are foundational questions, applications to concrete geometric questions, and the relationship with finite dimensional approaches.

    Updated on Sep 21, 2022 04:14 PM PDT
  32. Seminar GT Program Seminar

    Updated on Sep 15, 2022 11:24 AM PDT
  33. Seminar Q&A Session

    Updated on Aug 24, 2022 12:34 PM PDT
  34. Seminar Extended Q&A

    Updated on Sep 29, 2022 12:36 PM PDT
  35. Seminar What Is Seminar

    Updated on Sep 27, 2022 02:43 PM PDT
  36. Seminar GT Program Seminar

    Updated on Sep 15, 2022 11:27 AM PDT
  37. Seminar Q&A Session

    Updated on Aug 24, 2022 12:34 PM PDT
  38. Seminar Extended Q&A

    Updated on Sep 29, 2022 12:36 PM PDT
  39. Seminar What Is Seminar

    Updated on Sep 27, 2022 02:44 PM PDT
  40. Seminar FHT Reading Group

    Updated on Sep 15, 2022 11:28 AM PDT
  41. Seminar Journal Club

    Updated on Aug 24, 2022 01:41 PM PDT
  42. Seminar FHT Program Seminar

    Updated on Sep 15, 2022 11:28 AM PDT
  43. Seminar FHT Program Seminar

    Updated on Sep 15, 2022 11:28 AM PDT
  44. Seminar GT Program Seminar

    Updated on Sep 15, 2022 11:31 AM PDT
  45. Seminar Q&A Session

    Updated on Aug 24, 2022 12:34 PM PDT
  46. Seminar Extended Q&A

    Updated on Sep 29, 2022 12:36 PM PDT
  47. Seminar What Is Seminar

    Updated on Sep 27, 2022 02:44 PM PDT
  48. Seminar FHT Reading Group

    Updated on Sep 15, 2022 11:36 AM PDT
  49. Seminar Journal Club

    Updated on Aug 24, 2022 01:41 PM PDT
  50. Seminar FHT Program Seminar

    Updated on Sep 15, 2022 11:36 AM PDT
  51. Seminar FHT Program Seminar

    Updated on Sep 15, 2022 11:37 AM PDT
  52. Seminar GT Program Seminar

    Updated on Sep 15, 2022 11:38 AM PDT
  53. Seminar Q&A Session

    Updated on Aug 24, 2022 12:34 PM PDT
  54. Seminar Extended Q&A

    Updated on Sep 29, 2022 12:36 PM PDT
  55. Seminar What Is Seminar

    Updated on Sep 27, 2022 02:57 PM PDT
  56. Seminar FHT Reading Group

    Updated on Sep 15, 2022 11:39 AM PDT
  57. Seminar Journal Club

    Updated on Aug 24, 2022 01:41 PM PDT
  58. Seminar FHT Program Seminar

    Updated on Sep 15, 2022 11:39 AM PDT
  59. Seminar FHT Program Seminar

    Updated on Sep 15, 2022 11:39 AM PDT
  60. Seminar GT Program Seminar

    Updated on Sep 15, 2022 11:41 AM PDT
  61. Seminar Q&A Session

    Updated on Aug 24, 2022 12:34 PM PDT
  62. Seminar Extended Q&A

    Updated on Sep 29, 2022 12:36 PM PDT
  63. Seminar What Is Seminar

    Updated on Sep 27, 2022 02:58 PM PDT
  64. Program Algebraic Cycles, L-Values, and Euler Systems

    Organizers: Henri Darmon (McGill University), Ellen Eischen (University of Oregon), LEAD Benjamin Howard (Boston College), David Loeffler (University of Warwick), Christopher Skinner (Princeton University), Sarah Zerbes (ETH Zürich), Wei Zhang (Massachusetts Institute of Technology)
    Image
    Some Gaussian periods for the 255,255-th cyclotomic extension. Image credit: E. Eischen, based on earlier work by W. Duke, S. R. Garcia, T. Hyde, and R. Lutz

    The fundamental conjecture of Birch and Swinnerton-Dyer relating the Mordell–Weil ranks of elliptic curves to their L-functions is one of the most important and motivating problems in number theory. It resides at the heart of a collection of important conjectures (due especially to Deligne, Beilinson, Bloch and Kato) that connect values of L-functions and their leading terms to cycles and Galois cohomology groups. 

    The study of special algebraic cycles on Shimura varieties has led to progress in our understanding of these conjectures. The arithmetic intersection numbers and the p-adic regulators of special cycles are directly related to the values and derivatives of L-functions, as shown in the pioneering theorem of Gross-Zagier and its p-adic avatars for Heegner points on modular curves. The cohomology classes of special cycles (and related constructions such as Eisenstein classes) form the foundation of the theory of Euler systems, providing one of the most powerful methods known to prove vanishing or finiteness results for Selmer groups of Galois representations. 

    The goal of this semester is to bring together researchers working on different aspects of this young but fast-developing subject, and to make progress on understanding the mysterious relations between L-functions, Euler systems, and algebraic cycles.

    Updated on Apr 12, 2021 10:17 AM PDT
  65. Program Diophantine Geometry

    Organizers: Jennifer Balakrishnan (Boston University), Mirela Ciperiani (University of Texas, Austin), Philipp Habegger (University of Basel), Wei Ho (University of Michigan), LEAD Hector Pasten (Pontificia Universidad Católica de Chile), Yunqing Tang (University of California, Berkeley), Shou-Wu Zhang (Princeton University)
    Image
    A rational point on a curve of genus 3

    While the study of rational solutions of diophantine equations initiated thousands of years ago, our knowledge on this subject has dramatically improved in recent years. Especially, we have witnessed spectacular progress in aspects such as height formulas and height bounds for algebraic points, automorphic methods, unlikely intersection problems, and non-abelian and p-adic approaches to algebraic degeneracy of rational points. All these groundbreaking advances in the study of rational and algebraic points in varieties will be the central theme of the semester program “Diophantine Geometry” at MSRI. The main purpose of this program is to bring together experts as well as enthusiastic young researchers to learn from each other, to initiate and continue collaborations, to update on recent breakthroughs, and to further advance the field by making progress on fundamental open problems and by developing further connections with other branches of mathematics. We trust that younger mathematicians will greatly contribute to the success of the program with their new ideas. It is our hope that this program will provide a unique opportunity for women and underrepresented groups to make outstanding contributions to the field, and we strongly encourage their participation.

    Updated on Feb 25, 2021 04:59 PM PST
  66. Workshop Connections Workshop: Algebraic Cycles, L-Values, and Euler Systems

    Organizers: Henri Darmon (McGill University), Ellen Eischen (University of Oregon), Benjamin Howard (Boston College), LEAD Elena Mantovan (California Institute of Technology)
    Portrait pure
    David Lowry-Duda. Modular form of weight 32 and level 3. For details, see http://davidlowryduda.com/trace-form/

    The Connections Workshop features presentations by both leading researchers and promising newcomers whose research has contact with the interrelated topics of algebraic cycles, L-values, and Euler systems. The goal is to present a variety of diverse results, so as to forge new connections, foster collaborative projects, and establish mentoring relationships. While emphasis will be placed on the work of women mathematicians, the workshop is open to all researchers. This workshop is held in honor of mathematician Bernadette Perrin-Riou.

    Updated on Mar 29, 2022 10:07 AM PDT
  67. Workshop Introductory Workshop: Algebraic Cycles, L-Values, and Euler Systems

    Organizers: Henri Darmon (McGill University), LEAD Ellen Eischen (University of Oregon), Benjamin Howard (Boston College), Elena Mantovan (California Institute of Technology)
    Image
    Image credit: Vincent J. Matsko, 6-adic Koch-like fractal. For details, see http://www.vincematsko.com/Art/ICERM.html

    The Introductory Workshop aims to provide a coherent overview of current research in algebraic cycles, L-values, Euler systems, and the many connections between them. This includes the study of special cycles on Shimura varieties and moduli spaces of shtukas, integral representations of L-values and the construction of p-adic L-functions, and the construction of Euler systems from special elements in Chow groups or higher Chow groups of Shimura varieties. Workshop lectures will be organized into short lecture series, so as to allow each series to begin with expository lectures on foundational results before moving on to current research. This workshop is held in honor of mathematician Bernadette Perrin-Riou.

    Updated on Mar 29, 2022 10:07 AM PDT
  68. Workshop Connections Workshop: Diophantine Geometry

    Organizers: Jennifer Balakrishnan (Boston University), LEAD Yunqing Tang (University of California, Berkeley)

    This workshop will highlight talks on various aspects of Diophantine Geometry. The goal of the workshop is to bring together researchers at different career stages and of various backgrounds in order to establish new collaborations and mentoring relationships. Although we will showcase the research of mathematicians who identify as women or gender minorities, this workshop is open to all.

    Updated on Dec 17, 2021 02:42 PM PST
  69. Workshop Introductory Workshop: Diophantine Geometry

    Organizers: Hector Pasten (Pontificia Universidad Católica de Chile), Yunqing Tang (University of California, Berkeley), LEAD Shou-Wu Zhang (Princeton University)
    Introd image
    Rational points on a general type surface. Image by Hector Pasten.

    This workshop will feature expository lectures about  current developments in  Diophantine geometry. This includes  the uniform Mordell—Lang for rational points on curves,  the  Andre—Oort conjecture for special points on Shimura varieties, and effective results via Chabauty method, and related topics in  Arakelov theory, unlikely intersections, arithmetic statistics, arithmetic dynamics, and p-adic Hodge theory.

    Updated on Dec 20, 2021 09:18 AM PST
  70. Workshop Shimura Varieties and L-functions

    Organizers: Michael Harris (Columbia University), David Loeffler (University of Warwick), Elena Mantovan (California Institute of Technology), Christopher Skinner (Princeton University), Sarah Zerbes (ETH Zürich), LEAD Wei Zhang (Massachusetts Institute of Technology)
    Picture
    Some Gaussian periods for the 29,070-th cyclotomic extension. Image credit: E. Eischen, based on earlier work by W. Duke, S. R. Garcia, T. Hyde, and R. Lutz

    The topical workshop will be dedicated to Shouwu Zhang, to mark the occasion of his 60th birthday, and to honour his numerous beautiful contributions to the theory of Shimura varieties and special values of L-functions. It will highlight cutting edge work on topics such as the construction of Euler systems; relations between special cycles on Shimura varieties and L-functions, such as generalized Gross-Zagier formulas and the Tate conjecture; the construction of Galois representations in cohomology; and related aspects of the theory of automorphic forms.

    Updated on Aug 25, 2021 03:20 PM PDT
  71. Workshop Critical Issues in Mathematics Education 2023: Mentoring for Equity

    Organizers: Pamela Harris (University of Wisconsin-Milwaukee), Abbe Herzig (AHH Consulting), Aris Winger (Georgia Gwinnett College), Michael Young (Carnegie Mellon University)

    The workshop Critical Issues in Mathematics Education: Mentoring for Equity aims to reach a broad audience of faculty and students in postsecondary mathematical sciences. Participants will learn about the evidence base for effective mentoring, with a focus on culturally responsive mentoring that supports all students and faculty along their mathematical paths. The workshop includes a combination of discussion of research evidence, review and adaptation of practical tools, and explicit training in effective mentoring, including how to bring these tools back to participants’ home institutions. The workshop intertwines objectives of increasing participants’ knowledge of the scholarship on effective mentoring, and engages participants in interactive activities to develop tangible skills as mentors and as mentor-trainers. Participants should come with a growth mindset, prepared to reflect on their experiences as mentors and mentees, and actively contribute to activities that build skills for implementing best mentoring practices.  This workshop will cultivate local and national mentoring communities that bring effective tools and strategies to mentoring, so that mentees can persist and thrive in research, teaching, education, and throughout their education and careers. One focus will be on addressing the individual mentoring needs of all faculty and students, including those who have been historically-marginalized in mathematics education and careers.

    Updated on Sep 30, 2022 09:49 AM PDT
  72. Workshop Degeneracy of algebraic points

    Organizers: Jennifer Balakrishnan (Boston University), LEAD Mirela Ciperiani (University of Texas, Austin), Philipp Habegger (University of Basel), Wei Ho (University of Michigan), Hector Pasten (Pontificia Universidad Católica de Chile), Yunqing Tang (University of California, Berkeley), Shou-Wu Zhang (Princeton University)
    Image
    A genus 2 curve over the reals and various p-adics. Image created by Prof. Jennifer Balakrishnan .

    In recent years, a number of techniques have led to outstanding progress on Lang-Vojta conjectures, such as the Subspace Theorem, p-adic approaches to finiteness, and modular methods. Similarly, spectacular progress has been achieved on unlikely intersection conjectures thanks to new methods and tools, such as height formulas for special points, connections to model theory, refined counting results, and new theorems of Ax-Shanuel type (bi-algebraic geometry). The goal of this workshop is to create the opportunity for these two groups to interact, to share their techniques, to update on the most recent progress, and to attack the outstanding open questions in the field.

    Updated on Jul 27, 2022 09:28 AM PDT
  73. Workshop MIP* = RE and the Connes’ Embedding Problem

    Organizers: Michael Chapman (Hebrew University), 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 in-depth 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 Sep 22, 2022 08:51 AM PDT
  74. Summer Graduate School Commutative Algebra and its Interaction with Algebraic Geometry (Notre Dame)

    Organizers: Steven Cutkosky (University of Missouri), LEAD Claudia Polini (University of Notre Dame), Claudiu Raicu (University of Notre Dame), Steven Sam (University of California, San Diego), Kevin Tucker (University of Illinois at Chicago)
    1015 image

    Commutative Algebra has seen an extraordinary development in the last few years. Long standing conjectures have been proven and new connections to different areas of mathematics have been built.This summer graduate school will consist of three mini-courses (5 lectures each) on fundamental topics in commutative algebra that are not covered in the standard courses. Each course will be accompanied by problem sessions focused on research. Five general colloquium-style lectures will be given by invited scholars who will also attend the school and help with afternoon research activities. 

    Updated on Sep 26, 2022 12:06 PM PDT
  75. Summer Research in Mathematics Summer Research in Mathematics 2023

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

    The ultimate goal of this program is to enhance the mathematical sciences as a whole by positively affecting the research and careers of all of its participants and assisting their efforts to maintain involvement in the research community.

    Updated on Sep 15, 2022 10:12 AM PDT
  76. Summer Graduate School Formalization of Mathematics

    Organizers: Jeremy Avigad (Carnegie Mellon University), Heather Macbeth (Fordham University at Lincoln Center), Patrick Massot (Université Paris-Saclay)
    Image
    Some basic concepts in mathlib and the dependencies between them

    Computational proof assistants now make it possible to develop global, digital mathematical libraries with theorems that are fully checked by computer. This summer school will introduce students to the new technology and the ideas behind it, and will encourage them to think about the goals and benefits of formalized mathematics. Students will learn to use the Lean interactive proof assistant, and by the end of the session they will be in a position to formalize mathematics on their own, join the Lean community, and contribute to its mathematical library.

    Updated on Sep 30, 2022 10:53 AM PDT
  77. Summer Graduate School Foundations and Frontiers of Probabilistic Proofs

    Organizers: Alessandro Chiesa (University of California, Berkeley)
    Proofs main logo
    Several executions of a 3-dimensional sumcheck protocol with a random order of directions (thanks to Dev Ojha for creating the diagram)

    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 complexity-theoretic study of proof verification has led to exciting reenvisionings of mathematical proofs. For example, probabilistically checkable proofs (PCPs) admit local-to-global 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 ultra-fast protocols that allow one party to check the correctness of the computation performed by another, untrusted, party. These protocols have even been realized within recently-deployed technology, for example, as part of cryptographic constructions known as succinct non-interactive 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 cutting-edge research in this area.

    Updated on Sep 29, 2022 01:05 PM PDT
  78. MSRI-UP MSRI-UP 2023: Topological Data Analysis

    Organizers: Federico Ardila (San Francisco State University), LEAD Maria Franco (Queensborough Community College (CUNY)), Rebecca Garcia (Sam Houston State University), Jose Perea (Michigan State University), Candice Price (Smith College), Robin Wilson (California State Polytechnic University, Pomona)

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

    In 2023, MSRI-UP will focus on Topological Data Analysis. The research program will be led by Dr. Jose Perea, Associate Professor in the Department of Mathematics and the Khoury College of Computer Sciences at Northeastern University.

    Updated on Sep 09, 2022 03:36 PM PDT
  79. Summer Graduate School Machine Learning (UCSD)

    Organizers: Ery Arias-Castro (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 Sep 26, 2022 02:47 PM PDT
  80. Summer Graduate School Algebraic Methods for Biochemical Reaction Networks (Leipzig, Germany)

    Organizers: Timo de Wolff (TU Berlin), LEAD Alicia Dickenstein (University of Buenos Aires), Elisenda Feliu (University of Copenhagen)
    2021 sgs biochemical reaction networks leipzig image dickenstein.2019.10.09 %281%29
    A basic enzymatic mechanism

    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 Sep 28, 2022 08:50 AM PDT
  81. African Diaspora Joint Mathematics 2023 African Diaspora Joint Mathematics Workshop

    The African Diaspora Joint Mathematics Workshop (ADJOINT) will take place at the Mathematical Sciences Research Institute in Berkeley, CA from June 19 to June 30, 2023.

    ADJOINT is a two-week summer activity designed for researchers with a Ph.D. degree in the mathematical sciences who are interested in conducting research in a collegial environment.  

    The main objective of ADJOINT is to provide opportunities for in-person research collaboration to U.S. mathematicians, especially those from the African Diaspora, who will work in small groups with research leaders on various research projects. 

    Through this effort, MSRI aims to establish and promote research communities that will foster and strengthen research productivity and career development among its participants. The ADJOINT workshops are designed to catalyze research collaborations, provide support for conferences to increase the visibility of the researchers, and to develop a sense of community among the mathematicians who attend. 

    The end goal of this program is to enhance the mathematical sciences and its community by positively affecting the research and careers of African-American mathematicians and supporting their efforts to achieve full access and engagement in the broader research community. 

    Each summer, three to five research leaders will each propose a research topic to be studied during a two-week workshop.

    During the workshop, each participant will: 

    • conduct research at MSRI within a group of four to five mathematicians under the direction of one of the research leaders 
    • participate in professional enhancement activities provided by the onsite ADJOINT Director 
    • receive funding for two weeks of lodging, meals and incidentals, and one round-trip travel to Berkeley, CA 

    After the two-week workshop, each participant will:

    • have the opportunity to further their research project with the team members including the research leader 
    • have access to funding to attend conference(s) or to meet with other team members to pursue the research project, or to present results 
    • become part of a network of research and career mentors

    Updated on Sep 19, 2022 11:48 AM PDT
  82. Summer Graduate School Séminaire de Mathématiques Supérieures 2023: Periodic and Ergodic Spectral Problems

    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, almost-periodic, 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 Sep 30, 2022 12:28 PM PDT
  83. Summer Graduate School Mathematics and Computer Science of Market and Mechanism Design

    Organizers: Yannai Gonczarowski (Harvard University), Irene Yuan Lo (Stanford University), Ran Shorrer (Pennsylvania State University), LEAD Inbal Talgam-Cohen (Technion---Israel 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 Oct 05, 2022 11:32 AM PDT
  84. Summer Graduate School Topics in Geometric Flows and Minimal Surfaces

    Organizers: Ailana Fraser (University of British Columbia), Lan-Hsuan Huang (University of Connecticut), Catherine Searle (Wichita State University), Lu Wang (Yale University)
    Bubble
    Soap bubble: equilibrium solution of the rescaled mean curvature flow and constant curvature surface.

    This graduate summer school will introduce students to two important and inter-related 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 3-manifolds. 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 prize-winning 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 Sep 26, 2022 12:27 PM PDT
  85. Summer Graduate School Introduction to Derived Algebraic Geometry

    Organizers: Benjamin Antieau (Northwestern University), Dmytro Arinkin (University of Wisconsin-Madison)
    Image
    Schur quartic x 4−xy3 = z 4−zu3 and several of the 64 lines that it contains

    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 Sep 30, 2022 11:07 AM PDT
  86. Summer Graduate School Mathematics of Big Data: Sketching and (Multi-) Linear Algebra

    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)
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    This summer school will introduce graduate students to sketching-based approaches to computational linear and multi-linear 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 Oct 03, 2022 11:22 AM PDT
  87. Program Mathematical Problems in Fluid Dynamics, part 2

    PROGRAM DESCRIPTION

    Fluid dynamics is one of the classical areas of partial differential equations, and has been the subject of extensive research over hundreds of years. It is perhaps one of the most challenging and exciting fields of scientific pursuit simply because of the complexity of the subject and the endless breadth of applications.

    The focus of the program is on incompressible fluids, where water is a primary example. The fundamental equations in this area are the well-known Euler equations for inviscid fluids, and the Navier-Stokes equations for the viscous fluids. Relating the two is the problem of the zero viscosity limit, and its connection to the phenomena of turbulence. Water waves, or more generally interface problems in fluids, represent another target area for the program. Both theoretical and numerical aspects will be considered.

    Updated on Oct 04, 2022 04:03 PM PDT
  88. Program Mathematics and Computer Science of Market and Mechanism Design

    Organizers: Michal Feldman (Tel-Aviv University), Nicole Immorlica (Microsoft Research), LEAD Scott Kominers (Harvard Business School), Shengwu Li (Harvard University), Paul Milgrom (Stanford University), Alvin Roth (Stanford University), Tim Roughgarden (Stanford University), Eva Tardos (Cornell University)

    In recent years, economists and computer scientists have collaborated with mathematicians, operations research experts, and practitioners to improve the design and operations of real-world marketplaces. Such work relies on robust feedback between theory and practice, inspiring new mathematics closely linked – and directly applicable – to market and mechanism design questions. This cross-disciplinary program seeks to expand the domains in which existing market design solutions can be applied; address foundational questions regarding our ways of developing and evaluating mechanisms; and build useful analytic frameworks for applying theory to practical marketplace design.

    Updated on Feb 10, 2022 08:58 AM PST
  89. Program Algorithms, Fairness, and Equity

    Organizers: Vincent Conitzer (Duke University), Moon Duchin (Tufts University), Bettina Klaus (Université de Lausanne), Jonathan Mattingly (Duke University), LEAD Wesley Pegden (Carnegie Mellon University)
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    A graphical representation of a Markov Chain fairness analysis of a political districting in North Carolina from Chin, Herschlag, Mattingly

    This program aims to bring together researchers working at the interface of fairness and computation. This interface has been the site of intensive research effort in mechanism design, in research on partitioning problems related to political districting problems, and in research on ways to address issues of fairness and equity in the context of machine learning algorithms.

    These areas each approach the relationship between mathematics and fairness from a distinct perspective. In mechanism design, algorithms are a tool to achieve outcomes with mathematical guarantees of various notions of fairness. In machine learning, we perceive failures of fairness as an undesirable side effect of learning approaches, and seek mathematical approaches to understand and mitigate these failures. And in partitioning problems like political districting, we often seek mathematical tools to evaluate the fairness of human decisions.

    This program will explore progress in these areas while also providing a venue for overlapping perspectives. The topics workshop “Randomization, neutrality, and fairness” will explore the common role randomness and probability has played in these lines of work.

    Updated on May 13, 2022 11:47 AM PDT
  90. Program Commutative Algebra

    Organizers: Aldo Conca (Università di Genova), Steven Cutkosky (University of Missouri), LEAD Claudia Polini (University of Notre Dame), Claudiu Raicu (University of Notre Dame), Steven Sam (University of California, San Diego), Kevin Tucker (University of Illinois at Chicago), Claire Voisin (Collège de France; Institut de Mathématiques de Jussieu)
    9 points theorem
    Image for theorem about 9 point on cubic curve, the special case of Cayley–Bacharach theorem.

    Commutative algebra is, in its essence, the study of algebraic objects, such as rings and modules over them, arising from polynomials and integral numbers.     It has numerous connections to other fields of mathematics including algebraic geometry, algebraic number theory, algebraic topology and algebraic combinatorics. Commutative Algebra has witnessed a number of spectacular developments in recent years, including the resolution of long-standing problems, with new techniques and perspectives leading to an extraordinary transformation in the field. The main focus of the program will be on these developments. These include the recent solution of Hochster's direct summand conjecture in mixed characteristic that employs the theory of perfectoid spaces, a new approach to the Buchsbaum--Eisenbud--Horrocks conjecture on the Betti numbers of modules of finite length, recent progress on the study of Castelnuovo--Mumford regularity, the proof of Stillman's conjecture and ongoing work on its effectiveness, a novel strategy to Green's conjecture on the syzygies of canonical curves based on the study of Koszul modules and their generalizations, new developments in the study of various types of multiplicities, theoretical and computational aspects of Gröbner bases, and the implicitization problem for Rees algebras and its applications.

    Updated on May 24, 2022 10:29 AM PDT
  91. Program Noncommutative Algebraic Geometry

    Organizers: Wendy Lowen (Universiteit Antwerp), Alexander Perry (University of Michigan), LEAD Alexander Polishchuk (University of Oregon), Susan Sierra (University of Edinburgh), Spela Spenko (Université Libre de Bruxelles), Michel Van den Bergh (Universiteit Hasselt)
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    Optical illusion staircase

    Derived categories of coherent sheaves on algebraic varieties were originally conceived as technical tools for studying cohomology, but have since become central objects in fields ranging from algebraic geometry to mathematical physics, symplectic geometry, and representation theory. Noncommutative algebraic geometry is based on the idea that any category sufficiently similar to the derived category of a variety should be regarded as (the derived category of) a “noncommutative algebraic variety”; examples include semiorthogonal components of derived categories, categories of matrix factorizations, and derived categories of noncommutative dg-algebras. This perspective has led to progress on old problems, as well as surprising connections between seemingly unrelated areas. In recent years there have been great advances in this domain, including new tools for constructing semiorthogonal decompositions and derived equivalences, progress on conjectures relating birational geometry and singularities to derived categories, constructions of moduli spaces from noncommutative varieties, and instances of homological mirror symmetry for noncommutative varieties. The goal of this program is to explore and expand upon these developments. 

    Updated on May 19, 2022 01:51 PM PDT
  92. Workshop Recent Developments in Commutative Algebra

    Organizers: Daniel Erman (University of Wisconsin-Madison), Linquan Ma (Purdue University), LEAD Karl Schwede (University of Utah), Karen Smith (University of Michigan), Andrew Snowden (University of Michigan), Irena Swanson (Purdue University)

    Many long-standing conjectures in commutative algebra have been solved in recent years, often through the introduction of new methods that are quickly becoming central to the field.  This workshop will bring together a wide array of researchers in commutative algebra and related fields, with the goal of forging new connections among topics, and with a particular emphasis on transformative new methods.

    Created on Jul 27, 2022 02:01 PM PDT