Mathematical research is thrilling and beautiful—but also sometimes frustrating and overwhelming. Is getting stuck normal? Does everyone else really make constant progress? Join a candid talk with Gavril Farkas, Andrea Walther, and Alexandra Wesolek on coping with dead ends, setbacks, and the long, often lonely road in mathematical research.

In this talk, Alexei Skorobogatov will survey the local-to-global principle for rational points, also known as the Hasse principle, with a focus on surfaces. He is Professor of Pure Mathematics at Imperial College London and works in arithmetic geometry, in particular on rational points and Brauer groups.

Mathematical research is thrilling and beautiful—but also sometimes frustrating and overwhelming. Is getting stuck normal? Does everyone else really make constant progress? Join a candid talk with Gavril Farkas, Andrea Walther, and Alexandra Wesolek on coping with dead ends, setbacks, and the long, often lonely road in mathematical research.

In the last Kovalevskaya colloquium of 2025, Niethammer will give an overview of the basic properties of coagulation equations, explain some of the main challenges in its analysis and report on recent progress Barbara Niethammer is Professor at the Institute for Applied Mathematics at the University of Bonn.

In this talk, Böttcher will introduce he area of graph and hypergraph decompositions, with background, motivation, and some history, indicating how randomness and quasirandomness are instrumental for tackling these problems. Julia Böttcher is professor in Mathematics at the London School of Economics and Political Science.

Starting with Schrödinger's critique of the difficulty of visualising Heisenberg's matrix quantum physics, Hausel will discuss the notion of non-commutative matrices and its use in particle physics via Gell-Mann's eightfold way describing heavy particles in terms of quarks. Tamás Hausel has been full professor of mathematics at the Institute of Science and Technology Austria (ISTA) since 2016