Mathematical Sciences, Chalmers University of Technology and Göteborg University

[Picture of me]

Jan Stevens


Research

[sextic]

My research is in singularity theory.

The simplest singular surface is a cone: all points except the vertex are regular. The surface can also be described by an equation, which is a polynomial. This is the starting point for algebraic geometry: the study of solution sets of systems of polynomial equations. One studies singular surfaces by comparing them with regular ones. This can be done in two ways, by resolution, where one replaces singular points by a curve, or by deformation, where one perturbs the defining equations. For surface singularities in higher dimensional spaces it is in general a very difficult problem how to perturb the equations. For the computation of specific examples computer algebra is needed.

I am a member of the research group on algebraic. geometry and number theory.


Teaching

S18: MMA320, Introduction to Algebraic Geometry

S17: MMG720, Differential geometry

Teaching in previous terms


Disclaimer.


Jan Stevens
Mathematical Sciences
University of Gothenburg
Chalmers University of Technology
SE-412 96 Gothenburg
Sweden
e-mail: stevens at chalmers.se
URL: http://www.math.chalmers.se/~stevens
phone: +46-31-772 5345
fax: +46-31-161973
office: room 5028, Mathematical Sciences (map).

Last modified: 14 MAR 2017