
Seminar ADJOINT Research Seminar: Validated Computation of Special Mathematical Functions
The advent of reliable computing machines, computer algebra systems, and multiple precision computational packages diminished the need for tables of reference values for computing function values by interpolation, but today's numerical analysts, scientific researchers, and software developers still need a way to confirm the accuracy of numerical algorithms that compute mathematical function values. The field of validated computation of mathematical functions explores the development of multiple precision codes that compute certifiably accurate function values that can be used to test the accuracy of function data from personal, commercial, or publicly available codes. We discuss the analysis used to obtain reliable error bounds for floating point approximations and describe the implementation of the work in a publicly available beta site.
Updated on Mar 23, 2021 09:01 AM PDT 
Workshop [Moved Online] Critical Issues in Mathematics Education 2021: Initiating, Sustaining, and Researching Mathematics Department Transformation of Introductory Courses for STEM Majors
Organizers: Naneh Apkarian (Arizona State University), David Bressoud (Macalester College), Pamela Burdman (Just Equations), Jamylle Carter (Diablo Valley college), Ted Coe (Northwest Evaluation Association), Estrella Johnson (Virginia Polytechnic Institute and State University), W. Gary Martin (Auburn University), Michael O'Sullivan (San Diego State University), William Penuel (University of Colorado), LEAD Chris Rasmussen (San Diego State University), Daniel Reinholz (San Diego State University), Wendy Smith (University of Nebraska), David Webb (University of Colorado)NOTE: The introductory sessions for this workshop will be held online the morning of April 29th. Additional sessions will be held when it is once again possible to meet in person. Times listed on schedule is in Pacfic Standard Time.
The world is changing, along with perceptions. Many call for the improvement of mathematics teaching and learning, for both citizenry and STEM preparation. To achieve sustainable change, though, the focus needs to extend from individuals to systems. It is not enough to change one classroom or one course. Transformation requires change at all levels: in teaching, programmatic practices, and institutions. This workshop will bring together teachers and researchers from universities, community colleges, and K12 schools to explore the reasons for and processes by which change in university mathematics departments is initiated, promoted, and sustained and lessons learned from change efforts in K12. It will review what we know about change at all levels and reflect on stories of failure and success.
Updated on Feb 22, 2021 09:57 AM PST 
Summer Graduate School Séminaire de Mathématiques Supérieures 2021: Microlocal Analysis: Theory and Applications (Virtual School)
Organizers: Suresh Eswarathasan (Dalhousie University), Dmitry Jakobson (McGill University), Katya Krupchyk (University of California, Irvine), Stephane Nonnenmacher (Université de Paris XI)Microlocal analysis originated in the study of linear partial differential equations (PDEs) in the highfrequency regime, through a combination of ideas from Fourier analysis and classical Hamiltonian mechanics. In parallel, similar ideas and methods had been developed since the early times of quantum mechanics, the smallness of Planck’s constant allowing to use semiclassical methods. The junction between these two points of view (microlocal and semiclassical) only emerged in 1970s, and has taken its full place in the PDE community in the last 20 years. This methodology resulted in major advances in the understanding of linear and nonlinear PDEs in the last 50 years. Moreover, microlocal methods continue to find new applications in diverse areas of mathematical analysis, such as the spectral theory of nonselfadjoint operators, scattering theory, and inverse problems.
Updated on Apr 13, 2021 03:49 PM PDT 
Summer Graduate School 2021 CRMPIMS Summer School in Probability (Virtual School)
Organizers: LEAD Louigi AddarioBerry (McGill University), Omer Angel (University of British Columbia), Alexander Fribergh (University of Montreal), Mathav Murugan (University of British Columbia), Edwin Perkins (University of British Columbia)The courses in this summer school focus on mathematical models of group dynamics, how to describe their dynamics and their scaling limits, and the connection to discrete and continuous optimization problems.
The phrase "group dynamics" is used loosely here  it may refer to species migration, the spread of a virus, or the propagation of electrons through an inhomogeneous medium, to name a few examples. Very commonly, such systems can be described via stochastic processes which approximately behave like the solution of an appropriate partial differential equation in the largepopulation limit.
Updated on Mar 24, 2021 01:52 AM PDT 
Summer Graduate School Sparsity of Algebraic Points (Virtual School)
Organizers: Philipp Habegger (University of Basel), LEAD Hector Pasten (Pontificia Universidad Católica de Chile)The theory of Diophantine equations is understood today as the study of algebraic points in algebraic varieties, and it is often the case that algebraic points of arithmetic relevance are expected to be sparse.
This summer school will introduce the participants to two of the main techniques in the subject: (i) the filtration method to prove algebraic degeneracy of integral points by means of the subspace theorem, leading to special cases of conjectures by Bombieri, Lang, and Vojta, and (ii) unlikely intersections through ominimality and bialgebraic geometry, leading to results in the context of the ManinMumford conjecture, the AndréOort conjecture, and generalizations. This SGS should provide an entry point to a very active research area in modern number theory.
Updated on Mar 05, 2021 11:34 AM PST 
Workshop [Online] Workshop on Mathematics and Racial Justice
Organizers: Caleb Ashley (Boston College), Ron Buckmire (Occidental College), Duane Cooper (Morehouse College), Monica Jackson (American University), LEAD Omayra Ortega (Sonoma State University), LEAD Robin Wilson (California State Polytechnic University, Pomona)The overarching goal of the Workshop on Mathematics and Racial Justice is to explore the role that mathematics plays in today’s movement for racial justice. For the purposes of this workshop, racial justice is the result of intentional, active and sustained antiracist practices that identify and dismantle racist structures and policies that operate to oppress, disenfranchise, harm, and devalue Black people. This workshop will bring together mathematicians, statisticians, computer scientists, and STEM educators as well as members of the general public interested in using the tools of these disciplines to critically examine and eradicate racial disparities in society. Researchers with expertise or interest in problems at the intersection of mathematics, statistics and racial justice are encouraged to participate. This workshop will take place over two weeks and will include sessions on Bias in Algorithms and Technology; Fair Division, Allocation, and Representation; Public Health Disparities; and Racial Inequities in Mathematics Education.
Updated on Apr 09, 2021 03:35 PM PDT 
MSRIUP MSRIUP 2021: Parking Functions: Choose your own adventure
Organizers: Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Franco (Queensborough Community College (CUNY); MSRI  Mathematical Sciences Research Institute), LEAD Rebecca Garcia (Sam Houston State University), Pamela Harris (Williams College), Candice Price (Smith College)The MSRIUP summer program is designed to serve a diverse group of undergraduate students who would like to conduct research in the mathematical sciences.
In 2021, MSRIUP will focus on Parking Functions: Choose your own adventure. The research program will be led by Dr. Pamela E. Harris, Associate Professor of Mathematics at Williams College.
Updated on Feb 05, 2021 01:42 PM PST 
Summer Graduate School Mathematics of Big Data: Sketching and (Multi) Linear Algebra (Virtual School)
Organizers: LEAD Kenneth Clarkson (IBM Research Division), Lior Horesh (IBM Thomas J. Watson Research Center), Misha Kilmer (Tufts University), Tamara Kolda (Sandia National Laboratories), Shashanka Ubaru (IBM Thomas J. Watson Research Center)This summer school will introduce graduate students to sketchingbased approaches to computational linear and multilinear algebra. Sketching here refers to a set of techniques for compressing a matrix, to one with fewer rows, or columns, or entries, usually via various kinds of random linear maps. We will discuss matrix computations, tensor algebras, and such sketching techniques, together with their applications and analysis.
Updated on Mar 15, 2021 03:16 PM PDT 
Summer Graduate School [POSTPONED] Metric Geometry and Geometric Analysis (Oxford, United Kingdom)
Organizers: LEAD Cornelia Drutu (University of Oxford), Panos Papazoglou (University of Oxford)The purpose of the summer school is to introduce graduate students to key mainstream directions in the recent development of geometry, which sprang from Riemannian Geometry in an attempt to use its methods in various contexts of nonsmooth geometry. This concerns recent developments in metric generalizations of the theory of nonpositively curved spaces and discretizations of methods in geometry, geometric measure theory and global analysis. The metric geometry perspective gave rise to new results and problems in Riemannian Geometry as well.
All these themes are intertwined and have developed either together or greatly influencing one another. The summer school will introduce some of the latest developments and the remaining open problems in these very modern areas, and will emphasize their synergy.
Updated on Feb 03, 2021 03:04 PM PST 
Summer Graduate School Gauge Theory in Geometry and Topology (Virtual School)
Organizers: Lynn Heller (Universität Hannover), Francesco Lin (Columbia University), LEAD Laura Starkston (University of California, Davis), Boyu Zhang (Princeton University)Figure 1. A rotationally symmetric solution to the selfduality equations on an open and dense subset of the torus. Singularities appear where the surface intersects the ideal boundary at infinity of the hyperbolic 3space visualized by the wireframe.
Gauge theory is a geometric language used to formulate many fundamental physical phenomena, which has also had profound impact on our understanding of topology. The main idea is to study the space of solutions to partial differential equations admitting a very large group of local symmetries. Starting in the late 1970s, mathematicians began to unravel surprising connections between gauge theory and many aspects of geometric analysis, algebraic geometry and lowdimensional topology. This influence of gauge theory in geometry and topology is pervasive nowadays, and new developments continue to emerge.
The goal of the summer school is to introduce students to the foundational aspects of gauge theory, and explore their relations to geometric analysis and lowdimensional topology. By the end of the twoweek program, the students will understand the relevant analytic and geometric aspects of several partial differential equations of current interest (including the YangMills ASD equations, the SeibergWitten equations, and the Hitchin equations) and some of their most impactful applications to problems in geometry and topology.
Updated on Mar 05, 2021 11:35 AM PST 
Summer Graduate School Random Conformal Geometry (Virtual School)
Organizers: Mario Bonk (University of California, Los Angeles), Steffen Rohde (University of Washington), LEAD Fredrik Viklund (Royal Institute of Technology)This Summer Graduate School will cover basic tools that are instrumental in Random Conformal Geometry (the investigation of analytic and geometric objects that arise from natural probabilistic constructions, often motivated by models in mathematical physics) and are at the foundation of the subsequent semesterlong program "The Analysis and Geometry of Random Spaces". Specific topics are Conformal Field Theory, Brownian Loops and related processes, Quasiconformal Maps, as well as Loewner Energy and Teichmüller Theory.
Updated on Mar 19, 2021 03:03 PM PDT 
Summer Graduate School Foundations and Frontiers of Probabilistic Proofs (Virtual School)
Organizers: Alessandro Chiesa (University of California, Berkeley), Tom Gur (University of Warwick)Proofs are at the foundations of mathematics. Viewed through the lens of theoretical computer science, verifying the correctness of a mathematical proof is a fundamental computational task. Indeed, the P versus NP problem, which deals precisely with the complexity of proof verification, is one of the most important open problems in all of mathematics.
The complexitytheoretic study of proof verification has led to exciting reenvisionings of mathematical proofs. For example, probabilistically checkable proofs (PCPs) admit localtoglobal structure that allows verifying a proof by reading only a minuscule portion of it. As another example, interactive proofs allow for verification via a conversation between a prover and a verifier, instead of the traditional static sequence of logical statements. The study of such proof systems has drawn upon deep mathematical tools to derive numerous applications to the theory of computation and beyond.
In recent years, such probabilistic proofs received much attention due to a new motivation, delegation of computation, which is the emphasis of this summer school. This paradigm admits ultrafast protocols that allow one party to check the correctness of the computation performed by another, untrusted, party. These protocols have even been realized within recentlydeployed technology, for example, as part of cryptographic constructions known as succinct noninteractive arguments of knowledge (SNARKs).
This summer school will provide an introduction to the field of probabilistic proofs and the beautiful mathematics behind it, as well as prepare students for conducting cuttingedge research in this area.
Updated on Mar 05, 2021 11:35 AM PST 
Workshop Blackwell Tapia Conference 2021
Organizers: David Banks (Duke University), Hélène Barcelo (MSRI  Mathematical Sciences Research Institute), Lloyd Douglas, Robert Megginson (University of Michigan), Mariel Vazquez (University of California, Davis), Ulrica Wilson (Morehouse College; Institute for Computational and Experimental Research in Mathematics (ICERM))The 2020 BlackwellTapia Conference has been rescheduled to 2021. The Prize Winner is Tatiana Toro, Professor of Mathematics, University of Washington.
Description: Held every other year, the conference and prize honor David Blackwell, the first AfricanAmerican member of the National Academy of Science, and Richard Tapia, winner of the National Medal of Science in 2010, two seminal figures who inspired a generation of AfricanAmerican, Native American, and Latino/Latina students to pursue careers in mathematics. The BlackwellTapia Prize recognizes a mathematician who has contributed significantly to research in his or her area of expertise, and who has served as a role model for mathematical scientists and students from underrepresented minority groups or has contributed in other significant ways to addressing the problem of underrepresentation of minorities in math.
Updated on Mar 10, 2021 03:04 PM PST 
Summer Graduate School Séminaire de Mathématiques Supérieures 2022: Floer Homotopy Theory
Organizers: Kristen Hendricks (Rutgers University), Ailsa Keating (University of Cambridge), Robert Lipshitz (University of Oregon), Iosif Polterovich (Université de Montréal), Liam Watson (University of British Columbia), Ben Williams (University of British Columbia)Created on Mar 23, 2021 09:57 AM PDT

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