Aarhus University Research Unit (AUFF) is supporting Gergely Bérczi who joins QGM, Department of Mathematics in a permanent associate professor position.

2018.07.26 |

From 1 August 2018 QGM, Department of Mathematics will benefit from Gergely Bérczi's highly esteemed mathematical expertise and the AUFF has decided to support his project *Geometry and Topology of Non-reductive Moduli Spaces. *The main goal of the research is to apply and develop the non-reductive GIT theory in certain applications, focusing on questions coming from mathematics and physics.

**Off to a great start**Gergely started his career with a renowned joint paper with his thesis advisor Andras Szenes published in Annals of Mathematics. He finished his PhD thesis at Budapest University of Technology in 2008, where he also received a number of prices and Fellowships during his graduate studies.

**Early career**

After his thesis Gergely got a three year postdoctoral position at University of Oxford funded by The Engineering and Physical Sciences Research Council (EPSRC). At Oxford he started a collaboration with Frances Kirwan on non-reductive group actions in algebraic geometry. They construct quotient spaces through generalising Mumford's reductive geometric invariant theory for non-reductive group actions and study the topology of these non-reductive moduli spaces with applications. These applications involve problems in invariant theory, singularity theory of maps (Thom polynomials), hyperbolic varieties (the Green-Griffiths-Lang conjecture) and enumerative geometry (counting singular curves and hypersurfaces).

Gergely continued his stay at Oxford University from 2011- 2016 as a Tutorial Fellow in the Christ Church College.

In 2016 he held a position at the ETH Zürich, where he worked in the group of Professor Rahul Pandharipande, before he decided to accept the permanent associate professor position at Aarhus University.

**Research interests**Gergely focuses on the following research areas:

- Algebraic Geometry
- Algebraic Topology
- Symplectic Geometry
- Nonreductive group actions and non-reductive GIT with applications
- Global singularity theory and Thom polynomials
- Invariant theory and the Popov-Pommerening conjecture
- Hyperbolic varieties and the Green-Griffiths conjecture
- Enumerative geometry
- Hilbert schemes of points on surfaces and in higher dimensions and curve counting.