Meetings/Workshops on Algebra in the United States (USA)

This workshop, sponsored by AIM and the NSF, will be devoted to exploration of the recently discovered connections between conformal sympathetic structures, contact topology and the theory of codimension one foliations.

Georgia College & State University, Department of Mathematics

The Southern Regional Algebra Conference is an annual weekend conference that has been in existence since 1988. It serves an important role as part of the algebra research community in the Gulf Coast Region. Graduate students are strongly encouraged to participate. There is no registration fee. Presentations will be 25 minutes in length. The deadline to submit abstracts for SRAC 2021 is March 1, 2021. The Department of Mathematics of Georgia College & State University cordially invites you and your colleagues to attend SRAC 2021, to be held virtually this year. The in-person SRAC meetings will resume in Spring 2022 and will be held here at Georgia College & State University.

Guy Biyogmam;     Phone: [4784450974];     Email: guy.biyogmam@gcsu.edu

ICERM

The workshop will revolve around the interplay between algebraic geometry and combinatorial structures such as graphs, polytopes, and polyhedral complexes. In particular, the workshop will foster dialogue among groups of researchers who use similar combinatorial geometric tools for different purposes within algebraic geometry and adjacent fields. The topics covered will include Newton-Okounkov bodies, Ehrhart theory, toric geometry, tropical geometry, matroids, and interactions with mirror symmetry.

Email: Info@icerm.brown.edu

Society for Industrial and Applied Mathematics (SIAM)

Linear algebra is an important area of mathematics and it is at the heart of many scientific, engineering, and industrial applications. Research and development in linear algebra include theoretical studies, algorithmic designs and implementations on advanced computer architectures, and applications to various disciplines. The SIAM Conferences on Applied Linear Algebra, organized by SIAM every three years, are the premier international conferences on applied linear algebra, which bring together diverse researchers and practitioners from academia, research laboratories, and industries all over the world to present and discuss their latest work and results on applied linear algebra.

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to the use of computational mathematics in computer assisted proofs. There are an increasing number of famous conjectures and theorems that have recently been proven using computer assisted proofs. A highly incomplete list in alphabetical order includes the Dirac-Schwinger conjecture, the double bubble conjecture, Kepler's conjecture (Hilbert's 18th problem), Smale's 14th problem, the 290-theorem, the weak Goldbach conjecture etc. In many of these cases the proofs are based on using numerical computations with approximations, a technique that belongs to the field of computational mathematics and scientific computing rather than computer science.

American Institute of Mathematics, San Jose

This workshop, sponsored by AIM and the NSF, will be devoted to analysis on the hypercube. The topics of the workshop will include harmonic analysis on the hypercube, Markov-Bernstein type inequalities, and martingales and Bellman functions.

Geometry and Topology,    Quantum Mechanics and Quantum Information Theory

MRSI – Mathematical Sciences Research Institute, Berkeley

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 o-minimality and bi-algebraic geometry, leading to results in the context of the Manin-Mumford conjecture, the André-Oort conjecture, and generalizations. This SGS should provide an entry point to a very active research area in modern number theory.

New Mexico State University, Las Cruces, NM

BLAST is a conference series focusing on Boolean Algebras Lattices, Algebraic and Quantum logic Universal Algebra Set Theory Set-theoretic and Point-free Topology

Mathematical Logic and Foundations,    Geometry and Topology

ICERM

This workshop is at the interface of algebra, geometry, and computer science. The major theme deals with a novel domain of computational algebra: the design, implementation, and application of algorithms based on matrix representations of groups and their geometric properties. The setting of linear Lie groups is amenable to calculation and modeling transformations, thus providing a bridge between algebra and its applications. The main goal of the proposed workshop is to synergize and synthesize the independent strands in the area of computational aspects of discrete subgroups of Lie groups. We aim to facilitate solutions of theoretical problems by means of recent advances in computational algebra and additionally stimulate development of computational algebra oriented to other mathematical disciplines and applications.

Phone: [4018635030];     Email: info@icerm.brown.edu

MRSI – Mathematical Sciences Research Institute, Berkeley

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 low-dimensional topology. By the end of the two-week program, the students will understand the relevant analytic and geometric aspects of several partial differential equations of current interest (including the Yang-Mills ASD equations, the Seiberg-Witten equations, and the Hitchin equations) and some of their most impactful applications to problems in geometry and topology.

Geometry and Topology,    Courses and Events for Math Students and Early Career Researchers

Creighton University, Omaha, NE USA

The 11th International Conference on Path Integrals, hosted by the Creighton University Department of Mathematics, aims to bring together researchers around the world who study path integrals in various settings as well as researchers who use path integrals in their particular areas of study.

MRSI – Mathematical Sciences Research Institute, Berkeley

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 semester-long 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.

Geometry and Topology,    Courses and Events for Math Students and Early Career Researchers

Calculus, Differential Equations and Integration,    Numerical Analysis and Computational Mathematics

University of Alabama, Huntsville

Analysis,    Calculus, Differential Equations and Integration

Mathematical Sciences Research Institute, Berkeley

Society for Industrial and Applied Mathematics (SIAM)

Mathematical Sciences Research Institute, Berkeley

This workshop will focus on cutting-edge research in random matrices and integrable probability. We will explore connections with other branches of mathematics and applications to sciences and engineering. The workshop will feature presentations by both leading researchers and promising newcomers.

Mathematical Physics,    Courses and Events for Math Students and Early Career Researchers

Mathematical Sciences Research Institute, Berkeley

The introductory workshop aims at providing participants with an overview of some of the recent developments in the topics of the semester, with a particular emphasis on universality and applications. This includes universality for Wigner matrices and band matrices and quantum unique ergodicity, universality for beta ensembles and log/coulomb gases, KPZ universality class, universality in interacting particle systems, the connection between random matrices and number theory.

Mathematical Physics,    Courses and Events for Math Students and Early Career Researchers

MRSI – Mathematical Sciences Research Institute, Berkeley

This workshop will explore connections between the regularity theory of minimal surfaces and of mean curvature flow. Recent breakthroughs have improved our understanding of singularity formation in both settings but the current research trends are becoming increasingly disparate. Experts from both areas will present their research and there will be ample free time to establish connections between the topics.

Mathematical Sciences Research Institute (MSRI)

This workshop will focus on the integrable aspect of random matrix theory and other related probability models such as random tilings, directed polymers, and interacting particle systems. The emphasis is on communicating diverse algebraic structures in these areas which allow the asymptotic analysis possible. Some of such structures are determinantal point processes, Toeplitz and Hankel determinants, Bethe ansatz, Yang-Baxter equation, Karlin-McGregor formula, Macdonald process, and stochastic six vertex model.

The development of Floer theory in its early years can be seen as a parallel to the emergence of algebraic topology in the first half of the 20th century, going from counting invariants to homology groups, and beyond that to the construction of algebraic structures on these homology groups and their underlying chain complexes. In continuing work that started in the latter part of the 20th century, algebraic topologists and homotopy theorists have developed deep methods for refining these constructions, motivated in large part by the application of understanding the classification of manifolds. The goal of this program is to relate these developments to Floer theory with the dual aims of (i) making progress in understanding symplectic and low-dimensional topology, and (ii) providing a new set of geometrically motivated questions in homotopy theory.

MRSI – Mathematical Sciences Research Institute, Berkeley

The development of Floer theory in its early years can be seen as a parallel to the emergence of algebraic topology in the first half of the 20th century, going from counting invariants to homology groups, and beyond that to the construction of algebraic structures on these homology groups and their underlying chain complexes. In continuing work that started in the latter part of the 20th century, algebraic topologists and homotopy theorists have developed deep methods for refining these constructions, motivated in large part by the application of understanding the classification of manifolds. The goal of this program is to relate these developments to Floer theory with the dual aims of (i) making progress in understanding symplectic and low-dimensional topology, and (ii) providing a new set of geometrically motivated questions in homotopy theory.