Conferences  >  Mathematics  >  Courses and Events for Math Students and Early Career Researchers

IAS/Park City Mathematics Institute

Extremal graph theory and Ramsey theory are two of the central branches of modern extremal combinatorics, which seeks to understand the size and structure of discrete objects under certain natural constraints. In this course we will explore these topics, seeing both some of the beautiful techniques developed to study such problems, as well as many innocent-looking problems that seem completely out of reach of the currently-known techniques. We will also see some of the many connections these questions have to other areas of mathematics, including geometry, number theory, probability, and theoretical computer science.

Research Theme: Extremal and Probabilistic Combinatorics

Simons Laufer Mathematical Sciences Institute (SLMath)

Computer assisted proofs are at the forefront of modern mathematics, and have led to many important recent mathematical advances. They provide a way of melding analytical techniques with numerical methods, in order to provide rigorous statements for mathematical models that could not be treated by either method alone. In this summer school, students will review standard computational and analytical techniques, learn to combine these techniques with more specialized methods of interval arithmetic and automatic differentiation, and apply these methods to establish rigorous results in otherwise intractable problems.

Automated Theorem Proving,    Applied Mathematics (in general)

Simons Laufer Mathematical Sciences Institute (SLMath)

The summer school aims to expose participants to formal methods that can facilitate principled scientific discovery. The school will cover some of the basic automated statistical inference (in the form of machine learning techniques) and reasoning methods that are commonly used in scientific discovery, as well as novel techniques developed to tackle open questions and issues. This summer school will address novel computational methods for scientific discovery and focus on fusing axiomatic knowledge and experimental data to enable principled derivations of models of natural phenomena along with certificates of the consistency of these models with background knowledge specified as axioms.

Courses and Events for Physics Students,    Mathematical Physics

Lie groups are central objects in modern mathematics; they arise as the automorphism groups of many homogeneous spaces, such as flag manifolds and Riemannian symmetric spaces. Often, one can construct manifolds locally modelled on these homogeneous spaces by taking quotients of their subsets by discrete subgroups of their automorphism groups. Studying such discrete subgroups of Lie groups is an active and growing area of mathematical research. The objective of this summer school is to introduce young researchers to a class of discrete subgroups of Lie groups, called Anosov subgroups. These subgroups are central objects in the study of higher Teichmuller theory, convex projective geometry, and character varieties. In this summer school, there will be an emphasis on discussing some of the dynamical tools that have recently been successfully used to study Anosov subgroups. The required background in dynamics, hyperbolic geometry, and Lie theory will also be discussed. Aside from providing a stimulating academic environment for learning about Anosov subgroups, this summer school also aims to be a relaxed and friendly space for participants to interact with fellow aspiring mathematicians.

Geometry and Topology,    Group Theory

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,    Number Theory, Arithmetic

Organised in partnership with the Clay Mathematics Institute

Simons Laufer Mathematical Sciences Institute (SLMath)

This school will serve as an introduction to the SLMath semester “Topological and Geometric Structures in Low-Dimensions”. The school consists of two mini-courses: one on Teichmüller Theory and Hyperbolic 3-Manifolds and the other on Anosov Flows on Geometric 3-Manifolds. Both topics lie at the interface of low-dimensional geometric topology (specifically, surfaces, foliations, and 3-manifolds) and low-dimensional dynamics. The first course will be targeted towards students who have completed the standard first year graduate courses in geometry, topology, and analysis while the second course will geared towards more advanced students who are closer to beginning research. However, we expect that all students will benefit from both courses.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

Geometry and Topology,    Group Theory

The aim of the conference is to bring together a wide range of researchers and graduate students working on topics related to Lévy processes and their applications. The satellite Summer School will take place in Sofia from 25th-27th July 2025.

Email: https://sites.google.com/view/levyconference2025/home

Applications to Biology, Finance and Insurance; Fluctuation theory; Infinite divisibility; Lévy trees; Numerical methods; Potential theory; Queues; Stable and self-decomposable processes; Stochastic analysis; Stochastic partial differential equations

Mathematical Economics and Finance,    Probability and Statistics, Game Theory

The Fields Institute for Research in Mathematical Sciences

Group theory and topology have a long and rich history of interaction. This workshop will bring together experts working on different aspects of this interaction in order to share ideas and boost the development of new methods that can be applied to the topology of configuration spaces, braid groups, mapping class groups and manifolds, and spaces of commuting elements.

Geometry and Topology,    Group Theory

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.,

Mathematical Logic and Foundations,    Number Theory, Arithmetic

The Summer school: "Invitation to complex geometry" will be held between 04-08 August 2025 at the main lecture hall of the Rényi Institute (Budapest) as part of the thematic semester Complex analysis and Geometry (August-December 2025) hosted by the Erdős center. Graduate students (Msc and PhD), postdocs, and early career researchers are encouraged to apply.

The "Summer school on singular Kählerian metrics and Hermitian geometry" will be held between 11-15 August 2025, at the main lecture hall of the Rényi Institute (Budapest), as part of the thematic semester Complex analysis and Geometry (August-December 2025) hosted by the Erdős center. Advanced PhD students , postdocs, and junior researchers working in complex geometry are encouraged to apply. During this one week summer school, Hans-Joachim Hein (Münster) and Daniele Angella (Firenze) will give series of talks on recent advances on singular Kähler metrics, and Hermitian geometry respectively. We expect that the audience will consist of advanced graduate students, postdocs and junior faculty working in complex geometry.

Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, RI (ICERM)

Linear Algebra over finite fields is a building block for several applications including data storage, error detection and correction, and public-key cryptography. These applications enable the security and possibility of our daily digital lives. This workshop aims to expose and engage junior researchers in the foundations and applications of linear algebra over finite fields.

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

This program will focus on several aspects of the theory of automorphic forms with an emphasis on the relations among the internal structure of spaces of automorphic forms, the Langlands functoriality principle, automorphic L-functions, and questions in geometry, in particular, those regarding locally symmetric spaces. These are associated with arithmetic subgroups of a given reductive algebraic group G dened over analgebraic number field. Special attention is given to the theory of Eisenstein series and their ubiquitous role within the theory of automorphic forms.

Group Theory,    Geometry and Topology

Geometry and Topology,    Mathematical Logic and Foundations

This PhD School is part of the broader CWI Research Semester Programme on Learning Enhanced Optimization, contributing to its overarching mission of advancing cutting-edge research in theoretical computer science, operations research and beyond.

Neural Networks and Artificial Intelligence, Machine Learning,    Optimization Theory, Operational Research

Organized by: UP FAMNIT - University of Primorska, Faculty of Mathematics, Natural Sciences and Information Technologies; UP IAM - University of Primorska, Andrej Marušič Institute; SDAMS - Slovenian Discrete and Applied Mathematics Society; IMFM - Institute of Mathematics Physics and Mechanics

Mathematical Logic and Foundations,    Automated Theorem Proving

An international autumn school "Proof and Computation" will be held from 14th to 20th September 2025 at Haus der bayerischen Landwirtschaft in Herrsching near Munich. Its aim is to bring together young researchers in the fields of Foundations of Mathematics, Computer Science and Philosophy.

Automated Theorem Proving,    Information Theory, Foundations of Computer Science

KMPB, Humboldt-Universität zu Berlin

The KMPB School 2025: D-branes in Physics & Mathematics is a one-week program which will offer introductory courses covering topics underlying the modern understanding of D-branes in string theory and their incarnations in mathematics. The school is organized by PhD students at Humboldt-Universität zu Berlin with the support of the KMPB (Kolleg Mathematik Physik Berlin), an interdisciplinary center at HU whose community of research groups shares a mutual interest in mathematics and physics. In the spirit of the KMPB, the school aims at generating synergies between mathematicians and physicists and welcomes early career researchers (PhDs/PostDocs) in both fields.

Organizers;     Email: kmpbschool2025@gmail.com

string theory, mirror symmetry, D-branes, mathematical physics

High Energy Physics, Particles and Fields,    Mathematical Physics

University of Münster

Group Theory,    Probability and Statistics, Game Theory

Bernoulli Centrer, EPFL, Lausanne, Switzerland

This workshop provides a platform for young researchers to present their work, engage in discussions, and foster collaboration and idea-sharing in the fields of stochastic analysis and stochastic geometric analysis.

Solution Theory, Large-Time Dynamics, Ergodicity, and Limit Theorems, Mathematical Models from Natural and Social Sciences, Geometric Properties of Stochastic Processes, including processes on manifolds, Multi-Time Scale Stochastic Dynamics

Probability and Statistics, Game Theory,    Analysis

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.

Number Theory, Arithmetic,    Geometry and Topology

Belief Functions and Applications Society (BFAS)

The BELIEF school is a biennial event organized by the Belief Functions and Applications Society (BFAS) that offers a unique opportunity for students and researchers to learn about fundamental and advanced aspects of the theory of belief functions (also referred to as Dempster-Shafer theory, or evidence theory), a formalism for reasoning with uncertainty. The school will be organized around a set of lectures by prominent researchers. Lectures will gradually tackle basic to more advanced theoretical concepts. They will also highlight the links with other uncertainty theories such as random sets and possibility theory, and present applications of belief functions in various domains including machine learning, information fusion, statistical inference and materials science.

MIP South America is supported by the Mixed Integer Programming Society (MIPS), a section of the Mathematical Optimization Society (MOS).

The Mixed Integer Programming (MIP) Workshop is a single-track workshop highlighting the latest trends in integer programming and discrete optimization, with speakers chosen by invitation. It brings together researchers, students, and industry actors from around the globe, fostering collaboration and providing a showcase for students, early career academics, and developments in industry and novel applications. In this edition, we are putting a special focus on bringing a considerable number of speakers based in different countries of South America.

Optimization Theory, Operational Research,    Algorithms and Data Structures

CRM

Number Theory, Arithmetic,    Probability and Statistics, Game Theory

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,    Number Theory, Arithmetic

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

The goal is to bring together researchers of different experience levels, from advanced graduate students to established mathematicians, in order to jointly work on research projects on topics of common interest within Toric Topology and Polyhedral Products. The focus of the workshop will be on active collaboration in teams, and while the weeklong workshop will be the most condensed part of the collaboration, it is expected that a significant amount of work on the projects will be done before as well as after the workshop. It is expected that at least one research paper be produced from each collaboration which will be published in a workshop proceedings after obtaining referees' approval.

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,    Number Theory, Arithmetic

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

Higher-rank graphs generalize path categories of directed graphs and are intricately connected to various mathematical disciplines. This workshop aims to illuminate the rich interplay between higher-rank graph C*-algebras and fields such as algebra, theoretical physics, and geometry. By examining how these algebras both influence and are influenced by these diverse areas, the event will provide insights into their broader implications and applications. The workshop will bring together experts from different fields and career stages, each offering a unique perspective on higher-rank graphs. and interactions.

Graph Theory and Combinatorics,    Algebra