Conferences  >  Mathematics  >  Number Theory, Arithmetic

The purpose of this interdisciplinary workshop is to investigate connections between various fields of theoretical physics, in particular string theory and statistical models of crystals, and the theory of automorphic forms, mock modular forms and beyond. The non-perturbative structure of string theory has led to new uses of automorphic forms that have already appeared in number theory, as well as new exotic automorphic objects that have not yet been encountered.

In the early 1920s, Emmy Noether introduced the fundamental concept of a Noetherian ring, a notion that has had a remarkably broad impact on mathematics over the last century. In this conference, we celebrate Noether's legacy with research talks from many areas of algebra, broadly construed, including algebraic geometry, commutative algebra, number theory, and representation theory.

Algebra,    Geometry and Topology

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Interest in specialization of polynomials and Galois groups goes back at least to the work of Hilbert on the inverse Galois problem. This theory has found an abundance of applications in Algebra, Number Theory, Group Theory, and Arithmetic Geometry. In recent years, the area is blooming and we see striking results that open completely new horizons: The discovery of Hilbert irreducibility properties of algebraic groups, its connection with expanders and random walks, the interrelation with arithmetic-geometric properties of parametrizing varieties, and the exciting progress on the Cohen-Lenstra heuristics. The conference aims to bring together leading experts and young researchers interested in the area. We plan to leave an abundance of free time, dedicated to informal discussions. We believe that this will encourage the transfer of ideas, techniques, and will foster new collaborations and new research directions.

Algebra,    Group Theory

Banff International Research Station (BIRS) / UBCO

How primes and L-functions are linked is at the core of analytic number theory, with the Gener- alized Riemann Hypothesis (GRH) being its star conjecture. The field of explicit number theory focuses on simple yet notoriously difficult questions such as the Goldbach conjecture (Can every even number be written as the sum of two primes?) and Legendre’s conjecture (Is there a prime number between every two consecutive squares?). It is likely one of the most exacting flavors of number theory: in addition to scientific creativity, it requires precision and endurance to produce meaningful results. Working in teams with complementary expertise would allow to tackle some problems in the field more efficiently.

Email: ja2023-contact@univ-lorraine.fr

Random Matrix Theory (RMT) is ubiquitous in the mathematical and physical sciences because of its broad range of applications and its predictive power, which allow accurate calculations and asymptotic analysis that are not accessible through traditional techniques. The interdisciplinary nature of RMT is epitomized by Prof. Jon Keating’s career, which has been characterized by the rare ability of initiating new areas of research by bringing together areas of mathematics that on the surface have little in common. This conference will feature leading mathematicians working at the interface of quantum chaos, analytic number theory, probability and random matrix theory.

Algebra,    Geometry and Topology

The purpose of this workshop is to honour the 70th birthday of Professor Roger Heath-Brown FRS, which takes place on 12th October 2022. Professor Heath-Brown has been a leading figure in analytic number theory for over fifty years. He has more than 180 publications since 1974, and nearly 3000 citations, by over 1000 authors. These are monumental numbers by the standards of pure mathematics. During the course of his career, Professor Heath-Brown has revolutionised many different branches of analytic number theory, inspiring new generations of number theorists to go further than ever before. His research is studded with gems, whose impact is still reverberating in modern day research.

University of Bristol

Victor P. Snaith (1944 – 2021) was distinguished not just as an outstanding mathematician who made deep and lasting contributions in algebraic topology and number theory but also as a charismatic leader who enthusiastically developed research communities and generously supported young researchers.

The conference will bring together homotopy theory, cohomology of groups, algebraic K-theory and number theory, the main areas in which Vic worked. The aim is to feature important developments, paying special attention to synergies between these areas, as Vic did in much of his versatile research.

Geometry and Topology,    Algebra

ICERM

This will be a one-week conference broadly focused on the topics of the LMFDB, mathematical databases, computation, number theory, and arithmetic geometry. The conference will include invited talks, presentations by authors of papers submitted to the conference and selected by the scientific committee following peer-review, as well as time set aside for research and collaboration. This workshop is an activity of the Simons Collaboration 'Arithmetic Geometry, Number Theory, and Computation' and is supported by the Simons Foundation.

Program Staff;     Phone: [1-401-863-5030];     Email: info@icerm.brown.edu

Numerical Analysis and Computational Mathematics,    Geometry and Topology

.algebraic-geometry, combinatorics, number-theory

Number theory mixes techniques from various branches of mathematics and reveals unexpected connections between them. The first conference organised by the International Centre for Mathematics in Ukraine aims to overview recent breakthroughs in this field.

The event will take place simultaneously in two grounds with a live connection between the audiences at The Kyiv School of Economics and Stefan Banach International Mathematical Center in Warsaw. Students and young scientists are encouraged to take part. There will be special sessions organised to discuss research and learning problems stated by the speakers.

Algebra,    Geometry and Topology

The 25th Central European Number Theory Conference will be held August 28 - September 1, 2023 in Sopron, Hungary. This conference is the successor of the traditional Czech and Slovak International Conference on Number Theory.

Y-RANT is an annual conference primarily aimed at early career researchers in the UK (Ph.D. students and postdocs) working in or interested in algebraic number theory, analytic number theory and related topics. This is the fifth edition of the conference, which will be hosted at the University of Cambridge. This is a great chance to meet other early career number theorists, get a feeling for the interests of the broader community, and discuss your ideas in a friendly and engaging environment.

Algebra,    Courses and Events for Math Students and Early Career Researchers

MPI f. Mathematik, Bonn

The aim of the conference is to bring together early-stage career researchers in number theory (PhD students and postdocs who have obtained their PhD in 2021 or later). We hope that the friendly and engaging atmosphere will encourage the participants to ask questions and discuss their research freely, talk about future job applications and other important aspects of a career in academia. Furthermore, participants will be able to apply to give talks to describe the problems they are working on.

The aim of the conference is to bring together researchers at the crossroads of algebra and number theory working on dynamic or asymptotic aspects.

In the mini-courses, we give an advanced introduction to the theory of rational points on modular curves, under both theoretical and computational aspects. These courses would include an introduction to the geometry of modular curves, their ℚ-rational points, classical and non-abelian Chabauty methods, and related computational aspects. We also attempt to strike a balance between the more advanced topics and the down-to-earth examples.

In the discussion meeting, we wish to bring many experts across the world in the area of arithmetic geometry together to share their ideas and the current state of research that will facilitate future research in this direction. We strongly encourage participation of young researchers.

On the occasion of the 60th birthday of Tonghai Yang, we would like to bring together people from modular forms and arithmetic geometry to discuss recent advances in this conference.

Organized by QuantiXLie Center of Excellence and co-organized by the Department of Mathematics, Faculty of Science, University of Zagreb.

The purpose of this conference is to bring together experts working on modular curves and Galois representations attached to elliptic curves and related areas. This conference is the succesor of the conference Torsion groups and Galois representations of elliptic curves held in Zagreb in 2018.

There is no registration fee for this conference.

In 1998, number theorists at Université Laval and the University of Maine founded the Maine/Québec Conference on Number Theory and Related Topics. Since then it has been held annually on a weekend in early Fall (except 2001, when the conference was cancelled due to the attacks that September). We invite number theorists and mathematicians in related areas from New England, eastern Canada, and beyond to speak about their research and discuss ideas for future work. Each year there is a change in venue: odd years at UMaine, even years at U. Laval.

Isaac Newton Institute for Mathematical Sciences (INI)

This workshop aims to bring together researchers from number theory, automorphic representation theory and string theory to explore how automorphic forms that encode degeneracies of BPS could be related to and feed into information theoretic concepts such as quantum error corrections, applied to BPS and near-extremal black hole backgrounds, and to develop machine learning techniques to unveil some of the hitherto undefined automorphic structures underlying the generating functions for BPS black hole microstates in superstring models. This event is the first workshop of the 4-month long BLH programme at the INI centred around the same topics.

Astronomy, Astrophysics and Cosmology,    Neural Networks and Artificial Intelligence, Machine Learning

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

Algebra,    Geometry and Topology

Geometry and Topology,    Graph Theory and Combinatorics

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

The ANTS meetings, held biannually since 1994, are the premier international forum for the presentation of new research in computational number theory and its applications. They are devoted to algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic number theory, geometry of numbers, algebraic geometry, finite fields, and cryptography.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)