Since October 2022 I am a postdoc in the research group of Prof. Duc Viet Vu at the University of Cologne. Before that, I was a postdoc in the research group of Prof. Daniel Greb at the Universität Duisburg-Essen. I graduated in the Graduiertenkolleg Cohomological Methods in Geometry at the University of Freiburg, supervised by Prof. Stefan Kebekus. The main field of my research interests is complex algebraic geometry, in particular birational geometry in the philosophy of the minimal model program. Currently I am working on the deformation theory of families of irreducible holomorphic symplectic manifolds, Lagrangian fibrations of singular holomorphic symplectic varieties and the question when a Kähler manifold admits an algebraic approximation.

Furthermore, I participate in the Joint Seminar on Complex Algebraic Geometry and Complex Analysis of Bochum, Essen, Cologne, Wuppertal. I participated in the seminar of the SFB/TR 45 of Bonn, Essen, Mainz and in my time in Freiburg in the Joint Seminar in Algebraic and Complex Geometry of Basel, Freiburg, Nancy, Strasbourg.

Given talks

12/05/2023: Chemnitz, Research Seminar Algebra und Theoretische Mathematik (Moduli of K3 families over P^1, cycle spaces of IHS period domains, and deformations of complex-hyperkähler metrics)

07/21/2022: Gdansk, Fourth Killing-Weierstrass Colloquium (Deformations of K3 twistor families)

02/08/2022: Lille, Algebraic Geometry Seminar (Deformations of K3 twistor families)

11/26/2021: Bochum, Joint Seminar on Complex Algebraic Geometry and Complex Analysis (On the definition of irreducible holomorphic symplectic manifolds and their singular analogues)

11/12/2021: Milan, Mini-workshop Singular irreducible Symplectic Varieties (On the definition of irreducible holomorphic symplectic manifolds and their singular analogues)

12/02/2020: Frankfurt, Oberseminar Algebra und Geometrie (On the definition of irreducible holomorphic symplectic manifolds and their singular analogues)

01/20/2020: Heidelberg, Symplectic Geometry Seminar (On the definition of irreducible holomorphic symplectic manifolds and their singular analogues)

07/17/2019: Bayreuth, Oberseminar Algebraische Geometrie (Unobstructedness of hyperkähler twistor spaces)

04/11/2019: Chemnitz, Research Seminar Algebra und Theoretische Mathematik (Fibrations of irreducible symplectic varieties)

07/07/2017: Köln, Joint Seminar on Complex Algebraic Geometry and Complex Analysis (Fujiki relations and fibrations of irreducible symplectic varieties)

Teaching

WS 2023/24:

Exercises on Analysis I

SS 2023:

Exercises on Complex Analysis

WS 2022/23:

Exercises on Ordinary Differential Equations

SS 2022:

Exercises on Complex Geometry I

Exercises on Algebraic Geometry II

WS 2021/22:

Seminar on Complex Analysis

Exercises on Algebraic Geometry I

SS 2021:

Lecture on Complex Analysis

WS 2020/21:

Lecture Riemann Surfaces

SS 2020:

Lecture Analysis HRSGe (joint with Prof. Greb)

Exercises on Complex Geometry II

Master seminar on Complex Geometry

Global exercise session for Linear Algebra II

WS 2019/20:

Exercises on Complex Geometry I

Lecture Mathematische Miniaturen

Global exercise session for Linear Algebra I

SS 2019:

Lecture Analysis for HRSGe

Exercises on Algebraic Topology II

WS 2018/19:

Exercises on Riemann Surfaces I

Seminar on Complex Analyis

SS 2018:

Exercises on Complex Analyis

WS 2017/18:

Proseminar on Gröbner bases

SS 2017:

Proseminar on Symmetries

Masterseminar on Complex Tori and Abelian varieties

SS 2013:

Funktionentheorie, student assistant

PhD Martin Schwald

Address

About me

Research

Theses

Conferences and Summer Schools

Given talks

Teaching