Martin Gallauer

Martin Gallauer is an Assistant Professor at the Mathematics Institute, University of Warwick, specializing in algebraic topology, algebraic geometry, and representation theory. His research explores tensor-triangular geometry, motivic homotopy theory, and the structure of permutation modules.

Education includes a PhD in Mathematics (2015), MA in Philosophy (2011), and MS in Mathematics (2011) from the University of Zurich. Research focuses on the interplay between homotopy theory and arithmetic geometry, with investigations into motivic cohomology, p-adic cohomology theories, and categorical structures in representation theory.

Publications concentrate on advances in tensor-triangular geometry (patch-density, spectral classifications), motivic phenomena (Artin-Tate motives, monodromy operators), and foundational frameworks (six-functor formalisms, universal coefficient systems). Articles frequently employ derived categories, Galois representations, and homological techniques.

Current PhD students include Yorick Fuhrmann, Pier Federico Pacchiarotti, and Daniel Roebuck, working on problems in chromatic homotopy theory and geometric representation theory.