## AddressUniversity of CologneDepartment of Mathematics and Computer Science Division of Mathematics Weyertal 86-90 50931 Cologne Office: -107 Phone: +49 221 470 4600 Email: mschwald(at)uni-koeln.de |

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.

11/2023: Moduli of K3 families over P^1, cycle spaces of IHS period domains, and deformations of complex-hyperkähler metrics,

Preprint: arXiv:2311.13420

03/2020: On the definition of irreducible holomorphic symplectic manifolds and their singular analogs,

01/2020: (with Patrick Graf) The Kodaira problem for Kähler spaces with vanishing first Chern class,

10/2018: (with Tim Kirschner and Ana Brecan) Unobstructedness of hyperkähler twistor spaces,

05/2018: (with Patrick Graf) On the Kodaira problem for uniruled Kähler spaces,

01/2017: Fujiki relations and fibrations of irreducible symplectic varieties,

12/2016: Low degree Hodge theory for klt varieties,

Preprint: arXiv:1612.01919

03/2017: PhD thesis: Hodge theoretic methods in the study of symplectic varieties

06/2014: Master thesis: Entropy of automorphisms of compact Kähler surfaces

03/2012: Bachelor thesis: Resolution of complex projective surfaces by blowups

07/18-07/22/2022: Fourth Killing Weierstraß Colloquium, Gdansk

06/20-06/24/2022: Workshop on Complex Analysis and Geometry, Essen

11/11-11/12/2021: Mini-workshop Singular Irreducible Symplectic Varieties, Milan

09/06-09/12/2019: Summer school: o-Minimal Structures in Algebraic Geometry, Freiburg

06/11-06/13/2019: Final conference of the SFP/TRR45 Bonn/Essen/Mainz, Bonn

03/31-04/04/2019: Workshop: Higher Dimensional Complex Geometry, Saarbrücken

04/09-04/13/2018: French-German meeting in Complex Algebraic Geometry, Luminy

08/28-09/01/2017: Workshop Complex Analysis, Oberwolfach

02/08-02/10/2016: Differential forms in algebraic geometry, Freiburg

02/08-02/10/2016: An introductory Workshop on the Minimal Model Program, Hannover

07/13-07/31/2015: AMS Summer Institute in Algebraic Geometry, Salt Lake City

06/01-06/05/2015: GAel XXIII, Leuven

10/01-10/02/2014: DMV Studierendenkonferenz 2014, Bochum

06/30-07/04/2014: Differential forms on singular complex spaces, Bonn

10/28-11/01/2013: Around Torelli's theorem for K3-surfaces, Straßburg

06/03-06/30/2012: Summerschule des Clay Math Institutes, Obergurgl

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

## Teaching

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)

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