Faculty Detail
Mattias Jonsson
Professor
3076 East Hall
Phone: (734) 9369976
Email:
mattiasj@umich.edu

Affiliation(s)

Algebra/Algebraic Geometry
Analysis
Financial and Actuarial

Algebra/Algebraic Geometry

About
My research spans across some (but not all!) parts of dynamics, geometry and analysis. In analysis and geometry one usually works with real or complex numbers, but it is also possible to use, for instance, padic numbers. Doing so leads to nonArchimedean analysis and geometry, in honor (dishonor?) of Archimedes of Syracuse.
One of my main interests is in how nonArchimedean objects, such as Berkovich spaces, can be used to study problems where the original problem is phrased in terms of complex or rational numbers. Examples include singularities (of psh functions) in complex analysis and the growth of the arithmetic complexity (height) of orbits of certain polynomial, discretetime, dynamical systems. I am also interested in developing nonArchimedean geometry in a way parallel to complex geometry.