Dr Matija Tapuskovic

Research and Teaching

My research area is arithmetic geometry, where I am primarily interested in periods and motives. Periods are a class of complex numbers, defined by integrals of algebraic functions, which appear frequently in several different branches of mathematics. Motives are objects that underlie periods and their relations, and are associated to algebraic varieties, which are spaces defined by solutions of polynomial equations. I am also interested in the intersections of arithmetic geometry and quantum field theory. This involves the study of Feynman integrals, computed by physicists in order to make predictions for particle collider experiments. Feynman integrals are examples of periods, and it is therefore possible to apply tools from geometry and number theory in order to understand their structure.

My teaching at Corpus involves giving first and second year tutorials in pure mathematics, mainly in algebraic subjects such as Linear Algebra, Groups and Group Actions, and Rings and Modules.