Researcher

Jens Hemelaer

Research Expertise:The theory of toposes makes it possible to use geometric intuitions and techniques to solve mathematical problems that are, at first sight, not geometric (for example, problems in number theory, algebra or logic). On the other hand, it is often difficult to do concrete calculations with toposes, even in the simpler cases. I'm looking for new methods that make these calculations easier, and I apply them to mathematical problems in number theory (cfr. the Arithmetic Site of Connes and Consani) or algebra (noncommutative frames, monoids, torsionfree abelian groups...).

Disciplines:Algebra, Analysis, Applied mathematics in specific fields, General mathematics, Geometry, History and foundations, Statistics and numerical methods, Other mathematical sciences and statistics, Other natural sciences

Research techniques:Topos theory, F_1-geometry, noncommutative algebra, algebraic geometry

Users of research expertise:Mathematicians & people who are interested in contemporary mathematical research