Conferences  >  Mathematics  >  Number Theory, Arithmetic

Institute of Mathematics, National Academy of Sciences of Armenia

The goal of the summer school is to introduce students and junior scientists to the basics of the theory of elliptic curves and their applications in modern number theory and cryptography. The origins of the theory of elliptic curves go back to the 19th century, but it has become a central area of number theory only in the 20th century with the work of Mordell, Hasse, Weil and many others. A particularly prominent developments were the formulation of the conjecture of Birch and Swinnerton-Dyer, and the discovery of connections between elliptic curves and modular forms. The celebrated proof of Fermat’s Last Theorem by Wiles is the first general result on the modularity of elliptic curves – a topic which is still very much at the forefront of research in number theory. Elliptic curves also have come to play an important role in modern cryptography, and they continue to be extensively studied for possible future cryptosystems resistant to quantum computing.

Cryptography, Blockchain and Information Security,    Courses and Events for Math Students and Early Career Researchers

GEMA

Welcome to the World Maths Championship, the premier global platform for showcasing mathematical excellence and fostering a passion for mathematics among students worldwide. Powered by the Global Educational Mathematics Association (GEMA), we are dedicated to promoting mathematical literacy, problem-solving skills, and academic competition on an international scale.

Event Organizer;     Phone: [+971-527809450];     Email: contact@worldmathschampionship.com

Exam Dates: 31st July 2025 18h August 2025, Time: Exam will be available for 24hrs on 31st July and 18th August (whichever date student opted), students can start anytime between those 24hrs, but once started exam will end in its pescribed time limit of 1 hr., Duration: 60 Minutes, Mode of registration: Individually and through schools., Last Date of Registration: 27th July 2025 for 31st July Exam date and 17th August 2025 for 18th August Exam date Result: Generally, the results are announced within 3 month’s time of Last Exam Date Eligibility: For Students of Grade 1-8, Exam Fee: US$ 15, Mode of Exam: Online, Monitoring: Online proctored Exam, Number of Questions: Grade 1 – 4: 35 Questions Grade 5 – 8: 50 Questions, Study Material: There is no need to buy expensive books or study materials, all questions will be coming from existing academic curriculum/books of the students. Sample paper is also available on website. Plus we offer a mock test to students as well to get a better understanding of the exam., Date of Mock Test: 20th July 2025 00:01AM to 17th August 2025 11:00PM. A Mock test will be available between these dates for students to attempt, students can start anytime between these dates, but once started exam will end in its pescribed time limit of 1 hr., How the Exam will be Monitored: Remember this is an AI Proctored exam, System will automatically terminate exam if unusual behavior is found.,

Courses and Events for Math Students and Early Career Researchers,    Mathematical Logic and Foundations

We will gather to celebrate and showcase the spectacular advances in algebraic number theory and arithmetic geometry inspired by the vast research program of Henri Darmon.

The René 25 conference will bring together renowned international researchers in mathematics to celebrate the research interests of René Schoof, which include the fields of algebraic number theory, arithmetic algebraic geometry, computational number theory and coding theory.

University of Paderborn

The conference will take place at the Department of Mathematics at the Paris Lodron University of Salzburg

This conference aims to honor the spectacular contributions of Emmanuel Ullmo to arithmetic geometry and centers around his mathematical contributions and interests. It will cover and highlight recent stage of development on topics such as Diophantine geometry, ergodic theory, Hodge theory, and arithmetic dynamics.

The Geometric and Analytic Number Theory conference will bring together world leading researchers to present talks on the latest advancements in the fields of geometric and analytic number theory with a view towards rational points on varieties and counting number fields. Attendees will have the opportunity to engage with pioneering work and connect with peers from around the world, fostering collaboration and knowledge exchange within the number theory community.

Simons Foundation

Beyond Gaussians emerging from independence, for many correlated systems, new types of universal distributions have emerged in the past sixty years, which appear to effectively describe a wide range of statistical physics phenomena. Surprisingly, numerical and theoretical evidence has shown that these new, intricate statistics also reflect several aspects of the distribution of prime numbers, and of arithmetic objects in general. This question is relevant for all arithmetic topics covered in this meeting: conjectures from random matrix theory, distributions of multiplicative functions, limit theorems for L-functions, and the anatomy of integers.

The conference is dedicated to celebrate the 85th anniversary of Professor V. Skakauskas, the 80th anniversary of Professor F. Ivanauskas, the 75th anniversary of Professors V. Bagdonavičius and V. Mackevičius, and the 65th anniversary of Professor J. Šiaulys

Université de Lille

The wide area of the analytic theory of automorphic forms and representations intertwines various topics: statistics over automorphic families, arithmetic quantum chaos, bounds on automorphic forms, dynamics of hyperbolic geodesics... Among the mail tools used to address these problems are trace fomulas, estimates on L-functions and ergodic methods, often used in conjunction with arithmetic or algebraic arguments. Besides the invited talks, we devote an afternoon to contributed talks, where the younger generation could present their recent research and topics of interest. The conference comes into play to bring together experts, young colleagues and students to foster new ideas and projects. Particular care has been taken to give the opportunity to younger researcher to give talks.

The Number Theory Meeting is a series of conferences in Number Theory jointly organized by number theorists from Politecnico di Torino, Università di Torino and Università di Trento.

The Number Theory Meeting is a conference focused on number theory and its applications, and it has been a recurring event since 2016, involving both Italian and international academic experts in the field. The event will be conducted exclusively in person.

Fakultät für Mathematik, Universität Regensburg

The conference is concerned with the theory of computability and complexity over real-valued data. Computability and complexity theory are two central areas of research in mathematical logic and theoretical computer science. Computability theory is the study of the limitations and abilities of computers in principle. Computational complexity theory provides a framework for understanding the cost of solving computational problems, as measured by the requirement for resources such as time and space. The classical approach in these areas is to consider algorithms as operating on finite strings of symbols from a finite alphabet. Such strings may represent various discrete objects such as integers or algebraic expressions, but cannot represent general real or complex numbers, unless they are rounded. Most mathematical models in physics and engineering, however, are based on the real number concept. Thus, a computability theory and a complexity theory over the real numbers and over more general continuous data structures is needed. Despite remarkable progress in recent years many important fundamental problems have not yet been studied, and presumably numerous unexpected and surprising results are waiting to be detected. Scientists working in the area of computation on real-valued data come from different fields, such as theoretical computer science, domain theory, logic, constructive mathematics, computer arithmetic, numerical mathematics and all branches of analysis. The conference provides a unique opportunity for people from such diverse areas to meet, present work in progress and exchange ideas and knowledge.

The topics of interest include foundational work on various models and approaches for describing computability and complexity over the real numbers. They also include complexity-theoretic investigations, both foundational and with respect to concrete problems, and new implementations of exact real arithmetic, as well as further developments of already existing software packages. We hope to gain new insights into computability-theoretic aspects of various computational questions from physics and from other fields involving computations over the real numbers.

Information Theory, Foundations of Computer Science,    Algebra

The summer school is about formulas of Siegel and Weil and its impact in the theory of sphere packings, number theory, and geometry. The summer school takes place at Bielefed University.

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

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 taken place annually on a weekend in early Fall (except 2001, when it was cancelled due to the terrorist attacks that September). We invite number theorists and mathematicians in adjacent fields 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.

The conference aims at bringing the eminent Number Theorists worldwide in the domain of Algebraic Number Theory and young scholars from the country on a common platform to project their work, and foster collaborations to further the development of Mathematical Research.

The areas of particular interest include: Ideal class groups of number fields (algebraic, analytic and computational aspects), Relative class numbers of number fields, Annihilators of class groups, Class field theory, Picard groups, Selmer groups, Diophantine equations, Elliptic curves, Iwasawa Theory, Modular forms and related topics.

Algebra,    Group Theory

The quantum interaction models, with the quantum Rabi model as a representative example, have attracted attention as mathematical models describing the fundamental elements of quantum computers. These models are deeply intertwined with various branches of mathematics, including number theory, representation theory, and combinatorics. This conference aims to provide a platform for leading researchers in these mathematical “hot topics” to present their latest findings, while also fostering interdisciplinary discussions among participants. The conference is held in celebration of Professor Masato Wakayama’s 70th birthday and is jointly organized with Crypto-Math CREST.

Algebra,    Graph Theory and Combinatorics

The International Conference on Ring Theory, Number Theory and Lie Algebra “In Honor of Ali Benhissi's 60th Birthday” aims to provide a comprehensive overview of recent developments in ring theory, number theory and Lie algebra. This conference will cover each of these three topics individually as well as explore their interactions. This event will foster a collaborative and supportive research environment for all researchers, offering them a unique opportunity to exchange ideas and insights. Participants are strongly encouraged to present their work and contribute to discussions within these topics.

This conference will cover a wide range of topics related to algebra, with a particular focus on the following areas: Commutative algebra, Ring Theory, Algebraic and Analytic Number Theory, Algebraic Topology, Lie Algebra

Institute of Mathematics, Henan Academy of Sciences

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

CIRM – Centre International de Rencontres Mathématiques

Diophantine approximation is a branch of Number Theory that can be described as the study of the solvability of inequalities in integers, though this main theme of the subject is often substantially generalized. As an example, one can be interested in properties of rational points of algebraic varieties defined over an algebraic number field, or as another example, one may study convergence rates of orbits for arithmetic dynamical systems. The proposed workshop is concerned with a variety of problems of this kind, which have seen important progress during the last few years. A detailed description is given below, where five (not unrelated) topics are emphasized. Among the new developments, let us mention works on the ZilberPink conjecture and on unlikely intersections; important progress in metric number theory; and progress towards the Uniform Boundedness Conjecture in dynamical systems.

CRM / Université de Montréal

CRM

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

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

Baryonic matter in the Universe is almost exclusively (99,9 \%) in the plasma state, which is one of the four common states (with solid, liquid and gas), having the specificity of being strongly affected by electrical and magnetic fields. Already three generations of plasma physicists have worked at understanding more precisely the dynamics of plasmas, unravelling their secrets and bringing order to what seems by nature chaotic. Still, the plasmas continue to preserve a part of their mystery. First, our project aims to gain more insight into the microscopic reactions induced by the presence of radiation. Secondly, it is to mathematically elucidate how inertial effects coming from the mixing of charged species (like electrons and ions) is able to stabilize the plasma dynamics at very small scales. Incidently, this would bring innovative insight about some specificities of (magnetohydrodynamics).

Applied Mathematics (in general),    Mathematical Physics

CRM / Université de Montréal

Summer school “Universal Statistics in Number Theory” (May 4 - 15) will introduce the key topics from both sides of the program, including lecture series by probabilists as well as number theorists.

part of Montreal program 2026: Universal Statistics in number theory

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

The Algorithmic Number Theory Symposium (ANTS) is the premier international forum for the presentation of new research in computational number theory and its applications, devoted to algorithmic aspects of number theory and related fields, including elementary number theory, algebraic number theory, analytic number theory, the geometry of numbers, arithmetic geometry, finite fields, cryptography, and coding theory.

On the occasion of 40+ years after the seminar paper of Gross--Zagier, we bring together experts to deliver lectures on a broad range of topics connected with the Gross-Zagier formula, its generalizations, related future directions, and other works that it has inspired.

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

The proposed workshop focuses on recent breakthroughs in arithmetic functions, L-functions, and pseudorandomness in Number Theory, as well as new connections to other areas (via both employed methods and applications), such as additive combinatorics, arithmetic statistics, and dynamical systems. Such breakthroughs include the latest advances in the study of various character and exponential sums (e.g., Kloosterman sums), which are powerful and versatile tools for understanding the anatomy of integers; moments, and other averages of L -functions (over number fields and function fields); integers having a prescribed arithmetic structure (e.g., prime, smooth, square-free, sum of two squares), along with their distribution in arithmetic progressions and short intervals, as well as function field analogs of these problems; distribution of elements of multiplicative subgroups; pseudorandomness of arithmetical functions. An essential aspect of these developments is the vast arsenal of tools and techniques that have been conceived, developed, and implemented, ranging from analysis to additive combinatorics, algebraic geometry, and random matrix theory. The proposed workshop will concentrate on the emerging methods that underlie such advances and on possible future directions.

Graph Theory and Combinatorics,    Probability and Statistics, Game Theory

The program will unite researchers from a number of areas: algebraic and complex geometry, arithmetic geometry, Hodge theory, and mathematical physics. It will bring theoretically and computationally oriented researchers together, expecting that computations will illuminate conjectures made by the theorists and that theory will enlarge the range of what can be computed. We intend to develop databases of certain types of K3 surfaces for the L-Functions and Modular Forms Database and promote the development of software for computations on K3 surfaces in Magma, SageMath, or other systems for public release.

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