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Arithmetic, K-theory, and Algebraic Cycles

The conference will feature several key-note talks which will survey the historical background, current state of development and prospects for future progress in all of the focused areas. These talks will provide an opportunity to take a longer view than is customary at many research conferences and should be particularly valuable for young researchers. In addition, there will be a number of talks concerning recent developments in all the focused areas. We plan to fund a number of young people, at both the post-doctoral and advanced graduate student level so that the conference will serve to stimulate future interest in these areas.

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Venue: Ohio State University

Young Topologists Meeting 2025

The Young Topologists Meeting (YTM) is an annual conference for graduate students, recent PhDs, and other junior researchers in topology, both pure and applied. This meeting is an opportunity for young researchers in topology to share their work and make new connections. In addition to short talks given by the participants and a poster session, the program features three guest lecture series, by Frédéric Chazal (Inria Saclay), Manuel Krannich (Karlsruhe Institute of Technology), and Maria Yakerson (Oxford University/IMJ-PRG).

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Venue: KTH/Stockholm University

Young Geometric Group Theory XIII

The main activity of the conference will be four mini-courses, each consisting of four 60-minute lectures. These lectures are intended to present a panoramic overview of some important developments in their field with the goal of enabling the participants to actively participate in the new directions of research emerging from these developments.

Mini-courses will be supplemented by  a number of shorter presentations by plenary speakers. The goal of these presentations is to make the participants aware of recent developments in geometric group theory, which are not covered by the main lectures.

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Venue: University of Copenhagen

Joint British Mathematical Colloquium/British Applied Mathematics Colloquium

The Joint British Mathematical Colloquium & British Applied Mathematic Colloquium is a major general meeting for both pure and applied mathematicians in the UK. This joint meeting occurs once every five years, and offers a unique opportunity to bring together a large cross-section of the UK mathematical community. 

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Venue: University of Exeter

Singularities in Algebra and Geometry

Algebraic Geometry and Commutative Algebra are among the oldest yet most vibrant branches of mathematics, and have important applications throughout the sciences in light of the rich structure and computational elegance of polynomial equations. Over the past decade, these fields have experienced spectacular advances due to the cross-fertilization of techniques and perspectives. These developments have also made significant impacts in other areas, including cluster algebras and number theory. The conference “Singularities in Algebra and Geometry” aims to bring together leading experts in these and related areas to continue the exchange of ideas and methodologies, further enriching this dynamic field. In addition to fostering a broader research community, the conference will offer professional development opportunities for early career researchers, supporting the next generation of mathematicians in their professional growth.

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Venue: CIMAT

Quantum Topology and Hyperbolic Geometry

The goal of this conference and school is to introduce graduate students, advanced undergraduate students, young researchers, and interested mathematicians in Vietnam, Southeast Asia, and other countries in Asia, to basics of quantum topology and its connection to many branches of mathematics, including low-dimensional topology, representations of quantum groups, combinatorics, and in particular hyperbolic geometry. It will also introduce the audience to applications of quantum topology to various areas of mathematics.

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Venue: VIASM

The Legacy of John Tate, and Beyond

John Tate (March 13, 1925 – October 16, 2019) was one of the most influential mathematicians of the 20th century. This conference will mark the centennial of his birth with lectures related to his work and recollections from colleagues, family and friends.

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Venue: Harvard University

Topology of Moduli Spaces

This is a conference in honour of Ulrike Tillmann’s 60th birthday. While celebrating Ulrike’s work in, and influence on, the topology of moduli spaces, the event will be a research conference, focused on the latest developments in this subject.

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Venue: University of Copenhagen

New Methods in Finsler Geometry

This conference continues the biennial series that started in Leipzig in 2016. The special focus of the 2024 meeting will be geometric analysis on Finsler manifolds.

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Venue: University of Transilvania

Dynamics and Rigidity: a Celebration of the Mathematics of Alex Eskin

This conference will cover recent progress in the theory of dynamical systems and their applications to geometry and number theory. In recent years there have been spectacular advances in the area, highlighting various connections between dynamics, rigidity, Diophantine approximation, combinatorics, and many other areas of mathematics. Many of the recent developments are made possible by the previous groundbreaking work of Alex Eskin, whose 60th birthday will be celebrated.

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Venue: Cetraro, Italy

Representation Theory Days

This mini-conference is being held in honor of George Lusztig on the occasion of his retirement. Professor Lusztig is a towering figure of representation theory whose contributions have shaped core areas of the subject. The mini-conference offers an excellent opportunity to summarize the state of the art in these areas and provides a venue for exchange of ideas stimulating further progress in the subject.

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Venue: Massachusetts Institute of Technology

PAD 2025: Probability, Analysis and Dynamics

Probability, analysis and dynamics are three central areas of mathematics in which the UK has a leading position. It is difficult to say exactly where the boundaries between the three fields lie; they have many tools in common and problems in one of the fields are often motivated by results or problems in another. All three topics have physics as an underlying source of questions. Despite this, there are relatively few opportunities for researchers in these fields to interact with each other. This conference gives mathematicians the opportunity to interact with the international speakers who are setting the research agendas for their subjects.

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Venue: University of Bristol