Conferences and Meetings on Number Theory, Arithmetic

This conference is in the primary algebraic research areas of Michael J. Larsen: Algebraic Number Theory, Arithmetic Geometry and Group Theory. The talks will be aimed at a broad swath of algebraists at all levels. It is our hope to foster interactions across these areas in the spirit of Michael’s own body of work. There will be a contributed talks session (20-30 minutes) for young mathematicians and a professional development workshop.

Algebra,    Geometry and Topology

RISAT, Research Institute of Science and Technology, Vlorë, Albania, Department of Mathematics

The main motivation of the conference is to foster collaboration among researchers from South Eastern Europe who work on algebra, algebraic geometry, number theory, cryptography, computational algebra, and related areas. The conference will be combined with online talks and face to face talk to include as large audience and participation as possible. Talks will be accepted in English or Albanian.

Phone: [+355 69 475 2693];     Email: shaska@risat.org

abelian varieties, arithmetic geometry, Weil heights, Jacobian varieties, Faltings height, Vojta's conjecture, algebraic varieties, algebraic curves, weighted projective varieties, weighted heights.

CIRM – Centre International de Rencontres Mathématiques

CONFERENCE

Institut de Recherche Mathématique Avancée de Strasbourg

The aim of the summer school is to provide an introduction to recent advances in the understanding of the number-theoretic content of the cohomology of arithmetic groups and of algebraic K-groups of number rings. Uncovering this information reveals deep connections with algebraic geometry, namely with the theory of motives and with motivic homotopy theory. Surprisingly, this happens even when the arithmetic groups under consideration are not directly linked with algebraic varieties.

Mixed Tate motives, Dedekind zeta values, and polylogarithms, Weighted cohomology of Shimura varieties, Hermitian K-theory of number rings and special values of L-functions, Motivic cohomology and cohomology of arithmetic groups

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

A conference on the interactions between geometry, arithmetic, and groups will be held at the University of Texas, Austin, June 20-24, 2022, celebrating the accomplishments and influences of Alan W. Reid.

Group Theory,    Geometry and Topology

Oklahoma State University

The conference is devoted to equidistribution results for algebraic numbers, and more generally, points of small height in various number theoretic settings, with emphasis on applications to arithmetic dynamics.

On April 6, 1972 a young graduate student named Hugh Montgomery and the world-renowned mathematical physicist Freeman Dyson had a conversation in the tearoom at the Institute for Advanced Study which led to a fusion of two disparate fields and an intellectual revolution that is stronger than ever today. Montgomery and Dyson discovered that the zeros of the Riemann zeta-function, important for understanding prime numbers, seem to obey the same distribution patterns as the eigenvalues of large random unitary (or hermitian) matrices, which had been extensively studied by physicists, especially to model the interactions within large atomic nuclei. This stunning connection has held up to extensive numerical and theoretical tests over the intervening years and has been extended to give random matrix models for the low lying zeros of families of L-functions and for the moments and distribution of values of the L-functions in these families and to analogous families over function fields. This conference will bring together 130 mathematical scientists to a meeting that will highlight the progress and the state of the art of results at the nexus of these two fields and will underline the questions most pertinent for further research.

University of Debrecen, Debrecen, Hungary

The Journal of Number Theory will host a number theory conference every two years to publicize recent advances in the field. The JNT is sponsoring the David Goss Prize of 10K USD to be awarded every two years at the JNT Biennial to a young researcher in number theory.

The PCMI graduate summer school program in 2022 will consist of a sequence of 11 minicourses. Each minicourse is accompanied by a problem session. The topics are arranged so that there is good material and opportunities for learning both for less experienced students as well as more advanced students. Beyond their attendance in these minicourse sessions, all graduate participants will be able to take part in the substantial other benefits of a PCMI session. This includes the opportunity to interact with the researchers in residence and take part in the research seminar component of PCMI. Many graduate students also interact in significant ways with the undergraduate cohort,,the undergraduate faculty cohort, and may also participate in the many pedagogically focused activities which form part of the K-12 Teacher Leadership Program and the Workshop for Equity in Mathematics Education. PCMI includes numerous cross-program activities to help members from all these groups interact with one another.

Courses and Events for Math Students and Early Career Researchers,    Numerical Analysis and Computational Mathematics

University of Sarajevo and The Fibonacci Association

The purpose of the conference is to bring together people from all branches of mathematics and science with interests in recurrence sequences, their applications and generalizations, and other special number sequences. For the conference proceedings, manuscripts that include new, unpublished results (or new proofs of known theorems) will be considered.

Phone: [+38761145552];     Email: lejla.smajlovic@efsa.unsa.ba

Recurrence sequences, number sequences, properties of objects associated to recurrence and number sequences, applications of recurrence sequences.

Algebra,    Graph Theory and Combinatorics

University of Bristol

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.

Cryptography, Blockchain and Information Security,    Algorithms and Data Structures

The year 2022 marks the centenary of Mordell's 1922 paper "On the Rational Solutions of the Indeterminate Equations of the Third and Fourth Degrees", in which Mordell both established the foundational result in the arithmetic of elliptic curves (finite generation of rational points), and proposed what later became Mordell's Conjecture (and subsequently Faltings' Theorem). In recognition of this anniversary, this conference will be a celebration of all aspects of the arithmetic of elliptic curves.

Algebra,    Cryptography, Blockchain and Information Security

Bielefeld University, Germany

The summer school aims to explore exciting applications of modular forms in different areas of Mathematics and provide a friendly and helpful environment to discuss and explore these concepts. The participants are expected to know the basics definition of (elliptic) modular forms.

Bielefeld University, Germany

Workshop for researchers from different backgrounds who are interested in modular forms in number theory and other mathematical disciplines organized by Claudia Alfes-Neumann, Michael Mertens and Markus Schwagenscheidt.

There will be a summer school in the week before.

University of Copenhagen

This masterclass aims at offering an entrance door to the wide field of relative trace formulas, from different perspectives and with different applications ranging from representation theory to analytic number theory. Relative trace formulas are fundamental tools, and we bring together world-class experts to make them shine. The school will consist of three lecture series supplemented by problem sessions and further talks all related to different aspects of this area. The masterclass is mostly intended to graduate students and young researchers, but everyone interested in relative trace formulas is welcome!

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

Banach Center Institute of Mathematics of the Polish Academy of Sciences, the Polish Mathematical Society, and the Faculty of Mathematics and Computer Science of Adam Mickiewicz University

ELAZ stands for “Elementare und Analytische Zahlentheorie”, i.e. “Elementary and Analytic Number Theory”. It is a conference series held biannually since the year 2000. It is open to both young and experienced mathematicians, and is well known for its high scientific level. The conference ELAZ 2022 will be organised jointly by the Banach Center Institute of Mathematics of the Polish Academy of Sciences, the Polish Mathematical Society, and the Faculty of Mathematics and Computer Science of Adam Mickiewicz University. It will be held August 22-26, 2022 at the Faculty of Mathematics and Computer Science of Adam Mickiewicz University, Poznań, Poland. The suggested arrival date is Sunday August 21, 2022 and the departure day Saturday August 27, 2022.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Adam Mickiewicz University, Poznań, Poland

NuTMiC 2021 will be the third edition of a cycle of conference on the application of number theory to cryptography and cryptanalysis.

Due to the coronavirus outbreak, the NuTMiC conference is postponed by one year and it will be held on August 29–31, 2022.

Erdős Center, Rényi Institute

The theory of automorphic forms is a central area of modern mathematics due to its depth and connections to a large number of other disciplines. This feature makes it attractive but also difficult to enter. The summer school will provide a motivated introduction to this rich field through exciting recent developments. It is aimed at graduate students and early career researchers. Four minicourses will be given by top researchers of the younger generation. Financial support will be provided to selected participants in the form of accommodation and catering (details to be shared later).

Erdős Center, Rényi Institute

The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

Motives were originally introduced by Grothendieck in the sixties to provide a universal source to various cohomology theories of algebraic, geometric and arithmetic nature. The works of Hanamura, Levine and Voevodsky in the nineties, followed by many others, have shed a new light on the subject by introducing triangulated categories of motives and relating them to a newly defined homotopy category of schemes. More recent avatars of motives include the motives with modulus of Kahn, Miyazaki, Saito and Yamazaki or the log-motives of Binda, Park and Østvær, both purposely avoiding A1-invariance.

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

Casa Matemática Oaxaca (CMO)

Mathematical Sciences Research Institute (MSRI)

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.

Algebra,    Geometry and Topology

CIRM - Jean-Morlet Chair

The theme of the conference will be explicit and computational methods in number theory and arithmetic geometry in a broad sense. The format will include scientific talks as well as time for informal collaboration and for coding projects related to (for example) PARI/GP, SageMath, Magma, OSCAR or the L-Functions and Modular Forms Database.

CIRM - Jean-Morlet Chair

ln this workshop, we will consider variants of Artin's primitive root conjecture leading to the study of the Galois groups of various radical extensions. Beyond the case of the multiplicative group studied by Lenstra and others, there are now also interesting results for elliptic radicals, and for division points in more general abelian varieties. ln this context, the elliptic analogue of Artin's conjecture is the Lang-Trotter conjecture, which is still open after more than 40 years.

CIRM - Jean-Morlet Chair

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.

Hausdorff Center for Mathematic

This school provides an introduction to some of the main topics of the trimester program. It is mainly directed at PhD students and junior researchers.

CIRM - Jean-Morlet Chair

The spring school serves an introduction to the conference "Arithmetic Statistics", and aims to provide PhD students and early stage researchers with the necessary background to enable them to fruitfully partake in the conference. lt will also be an occasion for Master students to have an introduction towards research in number theory.

Courses and Events for Math Students and Early Career Researchers,    Probability and Statistics, Game Theory

CIRM - Jean-Morlet Chair

The theme of the conference is a type of number theory that has become very popular over the last decades, and that is influenced by the possibility of « experimentally » studying arithmetic objects with the help of a computer. Thanks to the wide availability of computer algebra systems, essentially any number theorist nowadays has this possibility at his fingertips. There are concrete objects that are not so easily determined « by hand », such as fundamental units in number fields of higher degree, or Mordell-Weil generators of point groups of elliptic curves, and a first impression of « what these typically look like » is often obtained by numerical experimentation.

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. We plan to publish a proceedings volume that will include all of the accepted papers.