Conferences and Meetings on Number Theory, Arithmetic

University of Michigan in Ann Arbor

U.C. Berkeley, Department of Mathematics

The Eighth Pacific Rim Conference in Mathematics will be a high profile mathematical event that will cover a wide range of exciting research in contemporary mathematics. It will be held online between Monday, August 3rd and Tuesday, August 11th. There will be a session devoted to number theory, which will take place on August 5th - 7th (depending on the side of the Pacific Rim you are on).

Email: pacificrim@math.berkeley.edu

number theory

Algebra,    Analysis

Hausdorff Center for Mathematics

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

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

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

Mathematical Sciences Research Institute – MSRI

Banff International Research Station for Mathematical Innovation and Discovery

An equation is called Diophantine if whole number or fractional solutions are sought. Diophantine equations are named after Diophantus of Alexandria, a 3rd century mathematician and were popularized by Pierre de Fermat, a 17th century lawyer and amateur mathematician. Unlike most branches of mathematics, many Diophantine questions and theorems can be understood and appreciated by the general public, and the subject is a favourite with popularizers of mathematics. The methods for tackling Diophantine equations are however deep and varied, and the subject has recently experienced an explosion of new directions and results. This workshop will bring together experts and young scholars to explore these new directions and stimulate further research into Diophantine problems.

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

Regensburg University, Dep. of Mathematics, SFB1085 (U. Bunke, D.C. Cisinski, G. Kings )

Homotopical and higher categorical methods have seen increasing importance in mathematics, both as foundations and as computational tools. In fact, such methods merge two apparently distinct goals: understanding geometrical forms and classifying mathematical structures. This conference aims at gathering together under this perspective geometers in a rather broad sense. It seeks to foster the applications of these higher methods in the interplay between homotopy theory, arithmetic, and algebraic geometry.

Geometry and Topology,    Algebra

Banff International Research Station for Mathematical Innovation and Discovery

The investigation of arithmetic groups has been an active and important area of mathematical research ever since it arose in the work of Gauss, Klein, Poincare, and other famous mathematicians of the 18th and 19th centuries. New points of view have recently led to progress on classical problems, opened new directions of inquiry, and revealed unexpected connections with other areas of mathematics. The workshop will bring together experts in the area, researchers in related fields, and young mathematicians who wish to learn about the most recent advances and the most promising directions for the future of the field.

The school aims to introduce graduate students and young researchers to the recent connections between p-adic analysis (understood in a large sense) with mathematical physics and computer science. Several mini-courses and talks will be offered.

ntroduction to p-adic analysis; Introduction to local zeta functions; The p-adic theory of automata; p-Adic models in quantum physics; p-Adic electrostatics; Strings amplitudes, local zeta functions, and log-Coulomb gases.

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

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

Modular forms have been one of the central topics in number theory for more a century and they continue to experience a wide range of applications throughout mathematics nowadays. Different incarnations of modularity, known as quasi-modular forms, quantum modular forms, Jacobi forms and Siegel modular forms regularly show up in physics topics such as mirror symmetry, topological quantum field theory, Gromov-Witten invariants, conformal field theory, Calabi-Yau manifolds. The principal goal of the proposed conference is to assess the role of various modular forms in recent developments in number theory, geometry and string theory.

Mathematical Physics,    Algebra

The GTA 2020 conference brings together world class researchers in mathematics. Its main objectives are to discuss recent advances in the fields of algebraic geometry, number theory and their applications, as well as to foster international collaborations on related topics.

Geometry and Topology,    Algebra

University of Zagreb, Faculty of Civil Engineering

After the successful conferences on Diophantine m-tuples and related problems on November 2014 and October 2018, we are happy to announce that the third conference on the same topic (Diophantine m-tuples and related problems III) will take place at Faculty of Civil Engineering, University of Zagreb, Croatia, from September 23 to September 25, 2020. The conference will be dedicated to Diophantine m-tuples and related problems. However, other aspects of Diophantine equations may appear as well. Anybody wishing to attend is welcome to contact the organizers.

Augusta University, Augusta, Georgia

The Integers conferences are international conferences held for the purpose of bringing together mathematicians, students, and others interested in combinatorics and number theory.

The Integers conferences are international conferences held for the purpose of bringing together mathematicians, students, and others interested in combinatorics and number theory.

Centre International de Rencontres Mathématiques (CIRM)

Banff International Research Station for Mathematical Innovation and Discovery

Langlands functoriality conjectures predict a vast generalization of the classical reciprocity laws of Class Field Theory, providing crossroads between Number Theory and Representation Theory. The conjectures are both local and global and pertain a connected reductive group and its Langlands dual group.

Ramanujan Mathematical Society (RMS)

The Ramanujan Mathematical Society (RMS), will be organising ICNTDM-2020 to mark the 100th year of premature passing away of the legendary Indian mathematician Srinivasa Ramanujan (22nd December 1887-26th April 1920). All aspects of Mathematics influenced by Ramanujan and in particular Number Theory – a subject which had its historic root in India, and Discrete Mathematics will be discussed in this conference.

This workshop, sponsored by AIM and the NSF, aims to explore several problems at the interface of harmonic analysis and analytic number theory, with an eye to bringing both groups of researchers together to make progress in discrete restriction, arithmetic statistics, exponential sum estimates and discrete harmonic analysis by using tools from both fields.

Analysis,    Probability and Statistics, Game Theory

The conference “Analytic Number Theory, Quantum Chaos and their Interfaces” aims at gathering distinguished researchers working in either of the disciplines to discuss recent research advances in these fields, and serve as a playground for the exchange of ideas between these, rather diverse, research communities. Another purpose of our conference is to provide a solid educational platform for more junior researchers (PhD students, postdoctoral researchers and early career permanent faculty) who aspire to conduct research in the relevant fields and expose them to some of the outstanding results and open problems as well as to meet other researchers with similar academic interests, with high potential to start new research collaborations. Being a home to Professor Zeev Rudnick, who has contributed greatly to unifying the main subjects of the conference and established some relevant fundamental results in these fields, Tel Aviv University is a natural place for such a meeting to take place.

Complex Systems, Chaos and Self-Organisation,    Mathematical Physics

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

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

There is an age-old relationship between arithmetic and geometry, going back at least to Euclid's Elements. Historically, it has usually been geometry that has been used to enrich our understanding of arithmetic, but the purpose of this workshop is to study the flow of information in the other direction. Namely, how can arithmetic enhance our understanding of geometry? This meeting will bring together researchers from both sides of the partnership, to explore ways to bind the two fields ever closer together.

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

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

One focus of modern number theory is to study symmetries of numbers that are roots of polynomial equations. Collections of such symmetries are called Galois groups, and they often encode interesting arithmetical information. The theory of Galois representations provides a way to understand these Galois groups and in particular, how they interact with other areas of mathematics. This workshop will investigate how these Galois representations can be put together into families, and search for new arithmetic applications of these families.

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

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

Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

One remarkable development in algebraic number theory over the last two decades is the proof of many cases of the main conjecture of Iwasawa theory for elliptic curves over the rational, leading to spectacular advances on the Birch and Swinnerton-Dyer conjecture. Over the past few years, the methods used to prove these results have been refined to remove some of their hypotheses and extended to other settings, but despite these improvements some important cases remain largely open. This workshop aims to foster new developments in these directions by clarifying the state of the art of the aforementioned results, identifying some of the technical limitations of the current methods, and encouraging the exchange of ideas between participants with different areas of expertise, while also bringing new researchers (recent PhDs and post-docs) in the area up to speed on current methods and results.

The conference ELAZ 2021 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.

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. (postponed version of ELAZ 2020)

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

The focus of this meeting is the connections between lattices and number theory and geometry. Number theory, one of the oldest branches of pure mathematics, is devoted to the study properties of the integers and more sophisticated number systems. Lattices and number theory have many deep connections. For instance using number theory it was recently demonstrated that certain packings of balls in high dimensions are optimally efficient. Lattices also appear naturally when one studies certain spaces that play an important role in number theory; one of the main focuses of this meeting is to investigate computational and theoretical methods to understand such spaces and to expand the frontier of our algorithmic knowledge in working with them.

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

The cohomology of arithmetic groups is the study of the properties of ``holes'' in geometric spaces that contain information about number theory. The workshop will bring together mathematicians with expertise in number theory, topology, and geometric group theory to tackle these problems and explore recent developments.

Group Theory,    Geometry and Topology

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

The Functoriality conjectures, formulated by Langlands in 1967, have been a driving force behind much of the work in both Number theory and Representation theory in the last 50 years. This workshop will explore a relatively new approach to the conjectures stemming from Langlands' recent proposal called ``Beyond Endoscopy''. This proposal has since blossomed in the work of many mathematicians and has produced very interesting recent results in several areas of mathematics from algebraic geometry through representation theory to analytic number theory.

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

CIRM – Centre International de Rencontres Mathématiques

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