Mathematical Sciences,
Chalmers University of Technology
and
Göteborg University

## Jan Stevens

## Research

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