Welcome to MathMeetings.net! This is a list for research mathematics conferences, workshops, summer schools, etc. Anyone at all is welcome to add announcements.

Know of a meeting not listed here? Add it now!

New Announcement

Additional update notes are available in the git repository (GitHub).


Upcoming Meetings

RSS  ICS

September 2023

Special year on p-adic arithmetic geometry

ag.algebraic-geometry nt.number-theory
2023-09-01 through 2024-04-30
Institute for Advanced Study
Princeton, NJ; USA

Meeting Type: conference

Contact: see conference website

Description

During the 2023-24 academic year the School will have a special program on the p -adic arithmetic geometry, organized by Jacob Lurie and Bhargav Bhatt, who will be the Distinguished Visiting Professor.

The last decade has witnessed some remarkable foundational advances in p-adic arithmetic geometry (e.g., the creation of perfectoid geometry and the ensuing reorganization of p-adic Hodge theory). These advances have already led to breakthroughs in multiple different areas of mathematics (e.g., significant progress in the Langlands program and the resolution of multiple long-standing conjectures in commutative algebra), have uncovered new phenomena that merit further investigation (e.g., the discovery of new structures on algebraic K-theory, new period spaces in p-adic analytic geometry, and new bounds on torsion in singular cohomology), and have made hitherto inaccessible terrains more habitable (e.g., birational geometry in mixed characteristic). This special year intends to bring together a mix of people interested in various facets of the subject, with an eye towards sharing ideas and questions across fields.

November 2023

Computational Algebra and Magma

ag.algebraic-geometry gr.group-theory nt.number-theory
2023-11-27 through 2023-12-01
University of Sydney
Sydney; Australia

Meeting Type: conference

Contact: see conference website

Description

Magma is a world-leading computer algebra system developed by the Computational Algebra Group at the University of Sydney. It supports cutting-edge computations in algebra, number theory, algebraic geometry, and algebraic combinatorics and is used on a daily basis by thousands of research mathematicians in over 70 countries.

The group is led by Professor John Cannon, the founder of Magma, and of its predecessor Cayley. A world expert on the development and implementation of algorithms for mathematics, John's scientific contributions are recognised via many awards including the CSIRO Medal (1993); the ATSE Clunies Ross Award (2001); the Richard D. Jenks Memorial Prize (2006); and his election in 2022 as Fellow of the Australian Academy of Science.

This meeting brings together a group of leading international researchers who have many connections to both John and the broad subject areas. We will celebrate two events: the 30th anniversary of the official launch of Magma, and the outstanding contributions of John as he reaches a personal milestone.

The main conference , 27-29 November 2023
A workshop on Computational Number Theory , 30 November - 1 December 2023

Please register if you would like to attend the conference.

December 2023

Hida Theory and Iwasawa Main Conjecture over Q

nt.number-theory
2023-12-04 through 2023-12-09
Chennai Mathematical Institute
Chennai; India

Meeting Type: school for graduate students

Contact: see conference website

Description

This program is intended for Ph.D students and postdocs interested in working in algebraic number theory. Some M.Sc students may also be able to attend depending on their background. The background required for this workshop includes basic algebraic number theory, commutative algebra, field theory and Galois theory, representation theory. There will be some preparatory lectures covering Herbrand-Ribet theorem, basic Iwasawa theory, p-adic L-functions. Along with that, the program will have lectures on the following topics: ordinary Λ-adic modular forms, Λ-adic Galois representations, proof of Iwasawa main conjecture.

Modular Curves and their Arithmetic

nt.number-theory
2023-12-06 through 2023-12-08
University of Warwick
Coventry ; UK

Meeting Type: conference

Contact: Elvira Lupoian

Description

none

Monodromy and Its Applications: Conference on the Occasion of Nicholas Katz' 80th Birthday

ag.algebraic-geometry nt.number-theory
2023-12-07 through 2023-12-09
Princeton University
Princeton, NJ; USA

Meeting Type: conference

Contact: see conference website

Description

none

19th IMA International Conference on Cryptography and Coding

ag.algebraic-geometry at.algebraic-topology gm.general-mathematics gt.geometric-topology
2023-12-12 through 2023-12-14
Royal Holloway, University of London
London; UK

Meeting Type: conference

Contact: Pamela Bye

Description

The mathematical theory and practice of both cryptography and coding underpins the provision of effective security and reliability for data communication, processing and storage. This nineteenth International Conference in an established and successful IMA series on the theme of “Cryptography and Coding” solicits original research papers on all technical aspects of cryptography and coding. Submissions are welcome on any cryptographic or coding-theoretic topic including, but not limited to: • Foundational theory and mathematics; • The design, proposal, and analysis of cryptographic or coding primitives and protocols • Secure implementation and optimisation in hardware or software; and • Applied aspects of cryptography and coding. Call for Papers The proceedings will be published in Springer’s Lecture Notes in Computer Science series, and will be available at the conference. Submissions must not substantially duplicate work that any of the authors has published elsewhere or has submitted in parallel to a journal or any other conference or workshop with proceedings. Accepted submissions may not appear in any other conference or workshop that has proceedings. Authors of accepted papers must guarantee that their paper will be presented at the conference and must make a full version of their paper available online. All submissions will be blind-reviewed. Papers must be anonymous, with no author names, affiliations, acknowledgements, or obvious references. Submissions should begin with a cover page containing title, a short abstract, and a list of keywords. The body of the paper should be at most 14 pages, excluding the title page with abstract, the bibliography, and clearly marked appendices. Committee members are not required to review appendices, so the paper should be intelligible and self-contained within this length. The submission must be in Springer’s LNCS format (LaTeX). Submissions not meeting these guidelines risk rejection without consideration of their merits. Submissions should be submitted via https://easychair.org/account/signin?l=wkSzSmtr1OTY2v9Kuv3Kft
Important Dates Submission Deadline: 28 June 2023 Author Notification: 6 September 2023 Proceedings Version Deadline: 20 September 2023

Organising Committee Elizabeth Quaglia, RHUL (Chair) Angelo De Caro, IBM Maura Paterson, Birkbeck Chris Mitchell, RHUL

West Coast Number Theory Conference 2023

nt.number-theory
2023-12-15 through 2023-12-19
Nevada State University
Henderson, Nevada; USA

Meeting Type: conference

Contact: Eva Goedhart, Nandita Sahajpal, Amy Wooding, Kjell Wooding

Description

We are pleased to invite you to the 2023 edition of the West Coast Number Theory (WCNT) Conference (the 54th such conference). WCNT is an informal meeting encouraging number theorists to discuss problems of interest in number theory. It consists of three main components: a series of short (15 to 20-minute) talks for presenting results of interest to number theorists, problem sessions, interactive question-and-answer sessions for discussing problems of interest to number theorists, and community sessions, themed sessions where we dig into relevant but “non-mathematical” problems of interest to number theorists (i.e. non-traditional careers in number theory, work-life balance).

Luxembourg Number Theory Day 2023

nt.number-theory
2023-12-20 through 2023-12-20
University of Luxembourg
Esch-sur-Alzette; Luxembourg

Meeting Type: conference

Contact: Andrea Conti

Description

We hold our annual Number Theory Day at the University of Luxembourg. Talks will revolve around (p-adic) Galois representations, automorphic representations, L-functions.

Lectures on selected areas in Pure Mathematics

ag.algebraic-geometry nt.number-theory
2023-12-21 through 2024-12-31
Institute of Mathematics, VAST, Hanoi, Vietnam
Hanoi ; Vietnam

Meeting Type: lecture

Contact: Phung Ho Hai, Doan Trung Cuong

Description

The purpose of this lecture series is to introduce the audience to basic ideas of specific areas of contemporary pure mathematics. Each lecture shall present an area: where it comes from, where it currently is, where it goes. Lectures will be given by prominent mathematicians twice a year: in the Spring and in the Autumn. Before and after each lecture we will organize reading seminars to prepare the audience for the lecture and to dig further into the topic of the lecture. With the lecturer’s consent, lectures will be recorded, slides and/or lecture notes will be provided if available.

January 2024

Higher Dimensional Algebraic Geometry: James 60

ag.algebraic-geometry
2024-01-10 through 2024-01-14
University of California San Diego
San Diego, CA; USA

Meeting Type: conference

Contact: see conference website

Description

Higher Dimensional Algebraic Geometry: James 60 is a conference highlighting recent progress in higher-dimensional algebraic geometry scheduled in honor of James McKernan's 60th birthday. The conference will focus on the many areas of algebraic geometry impacted by the groundbreaking work of James and his collaborators.

Arithmetic Geometry, Number Theory, and Computation

nt.number-theory ag.algebraic-geometry
2024-01-11 through 2024-01-12
Simons Foundation
New York, NY; USA

Meeting Type: conference

Contact: see conference website

Description

none

Noncommutative Algebraic Geometry

ag.algebraic-geometry
2024-01-16 through 2024-05-24
MSRI/SLMath
Berkeley, CA; USA

Meeting Type: thematic research program

Contact: see conference website

Description

none

I-Sage-ny Days (Sage Days 123 devoted to isogenies)

nt.number-theory
2024-01-17 through 2024-01-19
KU Leuven
Leuven; Belgium

Meeting Type: Sage days 123

Contact: Wouter Castryck

Description

none

February 2024

Connections Workshop: Noncommutative Algebraic Geometry

ag.algebraic-geometry
2024-02-01 through 2024-02-02
MSRI/SLMath
Berkeley, CA; USA

Meeting Type: conference

Contact: see conference website

Description

none

Introductory Workshop: Noncommutative Algebraic Geometry

ag.algebraic-geometry
2024-02-05 through 2024-02-09
MSRI/SLMath
Berkeley, CA; USA

Meeting Type: conference

Contact: see conference website

Description

none

A panorama of moduli spaces

ag.algebraic-geometry co.combinatorics gt.geometric-topology nt.number-theory
2024-02-26 through 2024-03-01
Goethe University Frankfurt
Frankfurt am Main; Germany

Meeting Type: conference

Contact: Martin Ulirsch

Description

none

March 2024

Arizona Winter School 2024: Abelian Varieties

ag.algebraic-geometry nt.number-theory
2024-03-02 through 2024-03-06
University of Arizona
Tucson, AZ; USA

Meeting Type: school for graduate students

Contact: see conference website

Description

Courses:

 Valentijn Karemaker: TBA
 Ben Moonen: TBA
 Rachel Pries: TBA
 Joe Silverman: TBA

With Clay lecturer Barry Mazur

PLANT - Pittsburgh Links among Analysis and Number Theory

ca.classical-analysis-and-odes nt.number-theory
2024-03-04 through 2024-03-07
University of Pittsburgh and Carnegie Mellon University
Pittsburgh, PA; USA

Meeting Type: conference

Contact: Theresa Anderson, Armin Schikorra, Carl Wang-Erickson

Description

The purpose of the conference is to bring together representatives of two disciplines with multiple points of interface: number theory and analysis.

Degree d points on algebraic surfaces

ag.algebraic-geometry nt.number-theory
2024-03-18 through 2024-03-22
American Institute of Mathematics
Pasadena, CA; USA

Meeting Type: conference

Contact: see conference website

Description

This workshop, sponsored by AIM and the NSF, will be devoted to the study of degree d points on algebraic surfaces over a number field.

The study of degree d points on algebraic curves over ℚ is a rich and mature area of research, with the Abel-Jacobi map and the Mordell-Lang conjecture providing powerful tools for exploration. However, for higher dimensional varieties there is no such approach that works in general. Because of this, we lack even a conjectural framework for understanding which higher dimensional varieties over ℚ should have "many" degree d points.

The workshop will focus on questions aimed at addressing this dearth, concentrating on the case of algebraic surfaces. For instance, what does it mean for a surface over ℚ to have "many" degree d points? What are some geometric constructions that give rise to abundant degree d points? Are these related to geometric measures of irrationality? If HilbdX has a Zariski dense set of ℚ-points for some small d, does that yield any arithmetic or geometric consequences for X? If X embeds into its Albanese, can we obtain results analogous to that of curves?

Participants will be researchers from a broad array of backgrounds (e.g., arithmetic of surfaces, geometry of Hilbert schemes of surfaces, geometric measures of irrationality, arithmetic of 0-cycles, to name a few), ideally with a curiosity and interest in arithmetic questions.

This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

April 2024

Recent Developments in Noncommutative Algebraic Geometry

ag.algebraic-geometry
2024-04-08 through 2024-04-12
MSRI/SLMath
Berkeley, CA; USA

Meeting Type: conference

Contact: see conference website

Description

none

The eighth mini simposio of the Roman Number Theory Association

nt.number-theory
2024-04-17 through 2024-04-19
Università
Rome; Italy

Meeting Type: conference

Contact: Valerio Talamanca

Description

This is the eighth edition of the annual mini simposio of the Roman Number Theory Association, Invited speakers include

  • Ramla Abdellatif, Université de Picardie Jules Verne

  • Stephanie Chan, Institute of Science and Technology Austria

  • Francesc Fite, Universitat de Barcelona

  • Andrew Granville, Université de Montréal

  • Mattias Jonsson, University of Michigan

  • Aaron Levin, Michigan State University

  • Jared Duker Lichtman, Stanford University

  • Davide Lombardo, Università di Pisa

  • Laura Paladino, Università della Calabria

  • Sarah Peluse, University of Michigan

  • John Voight, Dartmouth College

  • Jan Vonk, Universiteit Leiden

May 2024

International Conference on L-functions and Automorphic Forms

nt.number-theory rt.representation-theory
2024-05-13 through 2024-05-16
Vanderbilt University
Nashville, TN; USA

Meeting Type: conference

Contact: see conference website

Description

This conference is devoted to the areas of L-functions and autmorphic forms. In particular, it focusses on the interactions between both fields, which have a long and fruitful history since the fundamental work by Hecke about 90 years ago. The topics will focus on new developments around the areas indicated in the title, as well as establishing and furthering dialogue on new developments at the boundary of these areas. Given the ubiquity of automorphic forms throughout number theory as well as their strong interaction with the field of L-functions, it is very reasonable to expect that both areas will benefit from each other in the future as well. It is likely that this would lead to ideas more broadly useful in other areas of pure mathematics as well as to new types of objects to inspect and new structural questions within both fields.

The Ceresa Cycle in Arithmetic and Geometry

ag.algebraic-geometry nt.number-theory
2024-05-13 through 2024-05-17
ICERM
Providence, RI; USA

Meeting Type: conference

Contact: see conference website

Description

In the 1980s, Ceresa exhibited one of the first naturally occurring examples of an algebraic cycle, the Ceresa cycle, that is in general homologically trivial but algebraically nontrivial. In the last few years, there has been a renewed interest in the Ceresa cycle, and other cycle classes associated to curves over arithmetically interesting fields, and their interactions with analytic, combinatorial, and arithmetic properties of those curves. We hope to capitalize on this momentum to bring together different communities of arithmetic geometers to fully explore explicit computations around the arithmetic and geometry of cycles, when these various approaches are systematically combined.

June 2024

Visions in Arithmetic and Beyond: Celebrating Peter Sarnak's Work and Impact

ag.algebraic-geometry nt.number-theory
2024-06-03 through 2024-06-07
Princeton University/Institute for Advanced Study
Princeton, NJ; USA

Meeting Type: conference

Contact: see conference website

Description

none

Additive Combinatorics Summer School

co.combinatorics nt.number-theory rt.representation-theory
2024-06-10 through 2024-06-14
Erdős Center of the Alfréd Rényi Institute of Mathematics
Budapest; Hungary

Meeting Type: summer school

Contact: Gergely Kiss, Mate Matolcsi, Gabor Somlai

Description

The summer school is dedicated to graduate students and young researchers, and aims to give an introduction to recent techniques and topics of additive combinatorics. The lectures of the summer school will concentrate on recent developments of the polynomial method, some combinatorial methods of additive combinatorics, and the introduction of Fourier analytic techniques connected to them. The main topics will be presented by top researchers of the area.

The lecturers will be Julia Wolf, Christian Elsholtz, Peter Pal Pach, Sean Prendiville.

Canadian Number Theory Association XVI

nt.number-theory
2024-06-10 through 2024-06-14
Fields Institute
Toronto, ON; Canada

Meeting Type: conference

Contact: see conference website

Description

none

EpiGA Conference 2024

ag.algebraic-geometry
2024-06-10 through 2024-06-14
Institut Henri Poincaré
Paris; France

Meeting Type: conference

Contact: see conference website

Description

The EPIGA 2024 conference will feature a series of lectures covering a large spectrum of algebraic geometry. Half a day will be devoted to talks and debates on the topic of scientific publishing. It will also be the occasion to award the first Demailly prize for open science.

CTNT 2024

nt.number-theory
2024-06-10 through 2024-06-16
University of Connecticut
Storrs, CT; USA

Meeting Type: Summer school and conference

Contact: Alvaro Lozano Robledo, Keith Conrad

Description

A summer school during June 10-13, 2024 for advanced undergraduates and beginning graduate students and a conference on arithmetic geometry, number theory, and related topics during June 14-16, 2024.

Additive Combinatorics Workshop

co.combinatorics nt.number-theory rt.representation-theory
2024-06-17 through 2024-06-21
Erdős Center of the Alfréd Rényi Institute of Mathematics
Budapest; Hungary

Meeting Type: conference

Contact: Gergely Kiss, Mate Matolcsi, Gabor Somlai

Description

This conference is devoted to the most recent results of Additive Combinatorics. The topic of the conference is aimed to emphasize the rich interactions between additive combinatorics, harmonic analysis and number theory. The conference will bring together some recognized experts of the field, junior researchers (postdoctoral fellows and graduate students), and senior researchers from various aspects of the main topic. Beside the discussion on the recent progress in the field, it is also aimed to initiate interaction and collaboration among the participants.

Curves, Abelian VArieties, and RElated Topics

ag.algebraic-geometry nt.number-theory
2024-06-17 through 2024-06-21
Universitat de Barcelona
Barcelona, Catalonia; Spain

Meeting Type: conference

Contact: See conference website

Description

See conference website

Modular Forms, L-functions, and Eigenvarieties: a conference in memoriam of Joël Bellaïche

nt.number-theory
2024-06-18 through 2024-06-21
Paris; France

Meeting Type: conference

Contact: see conference website

Description

none

Spec(Q¯(2πi))

ag.algebraic-geometry ca.classical-analysis-and-odes nt.number-theory
2024-06-18 through 2024-06-21
Fields Institute
Toronto, ON; Canada

Meeting Type: conference

Contact: see conference website

Description

After the success and impact of Spec(Q⎯⎯⎯⎯), held at the Fields Institute in 2022, Spec(Q¯(2πi)) again aims to celebrate and promote research advances of LGBTQ2I (Lesbian, Gay, Bisexual, Transgender, Queer, 2-spirit , Intersex) mathematicians specialising in algebraic geometry, arithmetic geometry, commutative algebra, and number theory. The first edition of the conference proved to be extremely important to lay the foundations for a fertile, supportive and stimulating scientific queer community in the areas of algebraic geometry, commutative algebra and number theory. Building on the strengths of the first edition, Spec(Q¯(2πi)) will create an empowering and engaging environment which provides LGBTQ2I visibility in algebraic geometry, will support junior LGBTQ2I academics, and will crystallise new collaborative networks for participants.

Algebraic geometry, classically, is the study of the geometry of solutions of polynomial equations; through modern advances it has become an intersectional mathematical field, drawing from various aspects of algebra, number theory, geometry, combinatorics and even mathematical physics. This conference aims to highlight strong mathematical research in a wide array of topics in algebraic geometry, broadly defined. The conference will feature some plenary talks by world-leading researchers from a range of areas of algebraic geometry. To facilitate new connections across the various threads of algebraic geometry, plenary talks at Spec(Q¯(2πi)) will be aimed at a general algebro-geometric audience.

Algebraic K-theory and Brauer groups

ag.algebraic-geometry kt.k-theory-and-homology
2024-06-23 through 2024-06-28
Casa Matemática Oaxaca (CMO)
Oaxaca; Mexico

Meeting Type: conference

Contact: see conference website

Description

Algebraic geometry is the field of mathematics which concerns the study of spaces cut out by polynomial equations. This workshop concern the interaction of two important objects in algebraic geometry - the K-groups and the Brauer group. In algebraic geometry, we study spaces via invariants - the procedure of attaching simpler, more "linear" objects to these spaces in the hope of extracting information about them. Both the K-groups and Brauer group are such examples which have had an excellent track record in being both powerful and accessible at the same time. Roughly speaking, the K-groups are built out from \emph{vector bundles} on such a space - a continuous assignment of vector spaces on each point of the space. On the other hand the Brauer groups are built from "twisted" vector bundles.

Both invariants have had a history of interaction and cross-pollination and the goal of the workshop is to bring together researchers in both areas to share their research and pave the way for even more fruitful interaction in the future. We are particularly excited about the prospect of new, field-driving questions to come out from this workshop.

Recent Progress on Hilbert’s 12th Problem

ag.algebraic-geometry nt.number-theory
2024-06-24 through 2024-06-28
International Centre for Mathematical Sciences
Edinburgh; UK

Meeting Type: conference

Contact: see conference website

Description

Hilbert’s twelfth problem asks for explicit constructions of the abelian extensions of a given number field, similar to what is known for the rational numbers and for imaginary quadratic fields. These abelian extensions are known as class fields because their Galois groups are identified with certain generalized ideal class groups. In the two known cases, the class fields are obtained via the adjunction of roots of unity and of torsion points on elliptic curves with complex multiplication. These are special values of complex analytic functions – the exponential function and elliptic functions with complex multiplication. Hilbert may have envisioned the use of special values of complex analytic functions to construct class fields of more general base fields.

In the 1970s, Harold Stark proposed a strikingly original approach to the generation of class fields, based on his conjectures on the leading term of Artin L-functions at s = 0 [St75]. In the case of abelian L-functions with a simple zero at s = 0, Stark predicted that the first derivative was the logarithm of a unit in the respective class field [St76], so exponentiating this derivative would give a generator for the abelian extension. In the two known cases, this reduced to the theory of circular and elliptic units, thanks to Dirichlet’s analytic class number formula and Kronecker’s limit formula. Although there is now extensive computational evidence that Stark’s conjecture is correct, there has been little progress on its solution.

In the 1980s Benedict Gross formulated some p-adic [Gr82] and tame [Gr88] analogues of Stark’s conjectures, which gave more information on the p-adic expansions of the conjectural units. Since the p adic L-functions involved in Gross’s conjecture are related to certain Galois modules via the main conjecture in Iwasawa theory, these conjectures have proved more amenable than their complex analogs. Refinements of the Gross-Stark conjecture were proposed in [DD06], and the p-adic conjectures of [Gr82] was proved in [DDP11]. This line of argument has culminated in the recent work of Samit Dasgupta and Mahesh Kakde [DKa], [DKb] which, by proving a large part of the conjectures of [Gr88] (along with the refinement [DD06] of the conjectures of [Gr82] in the broader setting of totally real fields) leads to a p−adic solution to Hilbert’s twelfth problem for this large class of fields.

The goal of this workshop is to take stock of this striking recent development and of other progress around the theme of related approaches to explicit class field theory. The key to much of the progress over the years is the careful study of p-adic and tame deformations of modular forms, most notably, of Hilbert modular Eisenstein series. The p-adic interpolation of classical Eisenstein series was introduced by Jean-Pierre Serre [Se72] to study the congruences of special values of L-functions and the construction of p-adic L-functions for totally real fields, and was further developed by Barry Mazur and Andrew Wiles in their proof of the main conjecture of Iwasawa theory [MW84]. The workshop will focus on the breakthroughs in [DKa] and [DKb], with a lecture series by the two authors forming the cornerstone of the activity.

Women in Algebraic Geometry 2

ag.algebraic-geometry
2024-06-24 through 2024-06-28
Institute for Advanced Study
Princeton, NJ; USA

Meeting Type: collaborative research workshop

Contact: see conference website

Description

none

July 2024

p-adic Families of Automorphic Forms: Theories and Applications

ag.algebraic-geometry nt.number-theory
2024-07-08 through 2024-07-12
International Centre for Mathematical Sciences
Edinburgh; UK

Meeting Type: conference

Contact: see conference website

Description

The idea of p-adic families of automorphic forms grew out of work of Serre and Swinnerton-Dyer in the 70s exploring congruences between the q-expansion coefficients of modular forms. Work of Hida, Coleman and Mazur made the investigation of p-adic families one of the central topics in the arithmetic of modular forms. In the following decades there were striking applications to the construction of p-adic L-functions, Iwasawa theory and modularity of Galois representations.

One powerful organising principle has been to parametrize p-adic modular forms (or, more generally, p-adic automorphic forms) by p-adic analytic spaces known as eigenvarieties (or eigencurves, in the one-dimensional case originally considered by Coleman and Mazur). Our understanding of the geometry of eigenvarieties and their relationship to moduli spaces of Galois representations has rapidly developed, but there are still many important open questions.

An overarching objective of this meeting will be to bring together people working on the different theories of p-adic automorphic forms and various applications (or potential applications). We hope that this will inspire new collaborations and insights.

The Mordell conjecture 100 years later

ag.algebraic-geometry nt.number-theory
2024-07-08 through 2024-07-12
MIT
Cambridge, MA; USA

Meeting Type: conference

Contact: Jennifer Balakrishnan, Philipp Habegger, Bjorn Poonen, Andrew V. Sutherland, Wei Zhang

Description

none

Introduction to the Theory of Algebraic Curves

ag.algebraic-geometry
2024-07-08 through 2024-07-19
MSRI/SLMath
Berkeley, CA; USA

Meeting Type: school for graduate students

Contact: see conference website

Description

In the last few years, there have been extraordinary developments in many aspects of curve theory. Beginning with many examples in low genus, this summer school will introduce the participants to the background behind these developments in the following areas:

  1. moduli spaces of stable curves
  2. Brill–Noether theory
  3. the extrinsic geometry of the curves in projective space

We will also include an introduction to some open problems at the forefront of these active areas.

School Structure

There will be two one-hour lectures and two problem sessions each day.

Prerequisites

Basic knowledge of algebraic geometry up to the level of the Riemann–Roch and Riemann–Hurwitz theorems for curves. (These theorems appear, for example, in Hartshorne’s Algebraic Geometry as Theorem IV.1.3 and Corollary IV.2.4; or in Sections 2.3 and 2.1 in Griffiths–Harris Principles of Algebraic Geometry).

Application Procedure

For eligibility and how to apply, see the main summer school page.

Arithmetic Geometry

ag.algebraic-geometry nt.number-theory
2024-07-14 through 2024-07-19
Mathematische Forschungsinstitut Oberwolfach
Oberwolfach; Germany

Meeting Type: conference

Contact: see conference website

Description

none

Sixteenth Algorithmic Number Theory Symposium (ANTS XVI)

nt.number-theory
2024-07-15 through 2024-07-19
Massachusetts Institute of Technology
Cambridge, Massachusetts; USA

Meeting Type: conference

Contact: Jennifer Balakrishnan, Andrew Sutherland, John Voight

Description

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

August 2024

The Third JNT Biennial Conference in Number Theory

nt.number-theory
2024-08-20 through 2024-08-26
Scuola Normale Superiore de Pisa
Cetraro; USA

Meeting Type: conference

Contact: DORIAN GOLDFELD

Description

The Journal of Number Theory hosts a number theory conference every two years to publicize recent advances in the field. The JNT also sponsors the David Goss Prize, a 10K USD prize awarded every two years to a young researcher in number theory and presented at the JNT Biennial.

Analytic Number Theory and Arithmetic Statistics

ag.algebraic-geometry nt.number-theory
2024-08-26 through 2024-08-30
Centre de recherches mathématiques
Montréal, QC; Canada

Meeting Type: conference

Contact: see conference website

Description

none

September 2024

Explicit methods in number theory

nt.number-theory
2024-09-01 through 2024-09-07
Mathematisches Forschungsinstitut Oberwolfach
Oberwolfach; Germany

Meeting Type: workshop

Contact: Karim Belabas, Bjorn Poonen, Fernando Rodriguez Villegas

Description

The aim of this meeting is to bring together people attacking key problems in number theory via techniques involving concrete or computable descriptions. Here, number theory is interpreted broadly, including algebraic and analytic number theory, Galois theory and inverse Galois problems, arithmetic of curves and higher-dimensional varieties, zeta and L-functions and their special values, and modular forms and functions. Considerable attention is paid to computational issues, but the emphasis is on aspects that are of interest to the pure mathematician.

Because of limited space, participation is by invitation only.

Number Theory in the Americas 2

nt.number-theory
2024-09-08 through 2024-09-13
Casa Matemática Oaxaca (CMO)
Oaxaca; Mexico

Meeting Type: collaborative research workshop

Contact: see conference website

Description

In 2019, the organizers created a workshop called Number Theory in the Americas, which brought together junior and senior mathematicians from North, Central, and South America, to work together on research projects. The workshop resulted in at least seven publications, and served as a first collaboration experience for many of the junior researchers. The organizers propose to create a follow-up workshop in order to provide collaboration opportunities for the PhD students and postdocs who were too young to participate the last time. The workshop will be held in Spanish in order to erase the additional obstacle of communicating in English. We will welcome native and non-native speakers alike.

Our workshop is modeled after several other workshops that have been successful at fostering mathematical collaboration. Participants will be divided into small project groups (3-5 participants) containing a mix of junior and senior researchers. Each group will be led by one or two senior mathematicians. Project groups will be assigned based on research area, with care taken to ensure that each group contains researchers from both continents who have not previously worked together. Background reading will be sent to project group members several months in advance so that they are prepared to work on their respective problems together when they arrive in Oaxaca. The bulk of the workshop will be devoted to working in the project groups, but there will be introductory talks on the first day and final reports on the last day. There will also be panel discussions on topics of particular interest to junior researchers. The expectation is not that each project group will write a paper by the end of the week. Rather, it is meant to be an opportunity to exchange ideas and a starting point for potential future collaboration.

May 2025

NUMBER THEORY, QUANTUM CHAOS AND THEIR INTERFACES A conference in honor of Zeev Rudnick's 64 birthday

mp.mathematical-physics nt.number-theory
2025-05-18 through 2025-05-22
Tel Aviv University
Tel Aviv; Israel

Meeting Type: conference

Contact: see conference website

Description

The conference "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 who aspire to conduct research in the relevant fields and expose them to some of the outstanding results and open problems.

June 2025

Journées Arithmétiques

nt.number-theory
2025-06-30 through 2025-07-04
University of Luxembourg
Luxembourg; Luxembourg

Meeting Type: conference

Contact: see conference website

Description

none

August 2025

René 25

ag.algebraic-geometry nt.number-theory
2025-08-18 through 2025-08-22
University of French Polynesia
Punaauia; French Polynesia

Meeting Type: conference

Contact: see conference website

Description

The René 25 conference's purpose is to celebrate the research interests of René Schoof.

September 2025

Special Year on Arithmetic Geometry, Hodge Theory, and O-minimality

lo.logic ag.algebraic-geometry nt.number-theory
2025-09-01 through 2026-04-30
Institute for Advanced Study
Princeton, NJ; USA

Meeting Type: conference

Contact: see conference website

Description

During the 2025-26 academic year the School will have a special program on Arithmetic Geometry, Hodge Theory, and O-minimality. Jacob Tsimerman, University of Toronto will be the Distinguished Visiting Professor.

The purpose of this special year will focus on recent developments in hodge theory and o-minimality and their applications to arithmetic geometry. There has been much progress over the last 15 years in using transcendental uniformization maps to study arithmetic questions (general shafarevich theorems, results on unlikely intersections, general bounds on rational point counts). It has become increasingly clear that hodge theory (both classical and P-adic) and the resulting period maps form a natural home for these kinds of investigations to arise. In the other direction, O-minimality has been applied with success to make progress on questions in Hodge theory (Griffiths conjecture, definable period maps), and has recently had its own explosion of results (sharply O-minimal sets, the resolution of Wilkie's conjecture).

The goal of this year will be to bring together researchers in these different fields, with the aim of extending the collaboration between areas, share key insights, and investigate how far existing methods can be pushed.

Senior participants: Gal Binaymini, Ben Bakker (to be confirmed), Jonathan Pila and Claire Voisin (STV)