Dominik Gutwein

I am a postdoctoral researcher in the Collaborative Research Center "Higher Structures, Moduli Spaces and Integrability", working in the research group of Prof. Vicente Cortés at the University of Hamburg. I am interested in Differential Geometry and Geometric Analysis, in particular in manifolds with special holonomy, calibrated submanifolds, and gauge theory.

Short CV

Since 2025	Postdoc at the University of Hamburg in the CRC 1624
Fall 2024	Postdoc at the Simons Laufer Mathematical Sciences Institute (formerly MSRI) in the Special Geometric Structures and Analysis program
2021-2024	PhD at Humboldt-Universität zu Berlin funded by the Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics. Supervisor: Prof. Thomas Walpuski

Publications and preprints

Year	Publication	Arxiv	Journal
2025	A smooth family of G2-instantons over a generalised Kummer construction	Link
2024	Coassociative submanifolds in Joyce's generalised Kummer constructions, Pure and Applied Mathematics Quarterly.	Link	Link

Scientific talks (selection)

Date	Title	Event
Mar 2025	The moduli space of conically singular SU(3)-instantons	London Gauge Theory Days, London.
Sep 2024	New examples of G2-instantons over generalised Kummer constructions	GSA Seminar, SLMath, Berkeley.
Jun 2024	Calibrated submanifolds in Joyce manifolds	Seminar on Deformation Quantisation and Geometry, University of Würzburg.
May 2024	G2-instantons over generalised Kummer constructions via finite group actions	Meeting of the Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics, Durham North Carolina.
Aug 2023	Associative and coassociative submanifolds	Calibrated Geometry Fun Day, King's College London.
Feb 2023	Special submanifolds in Joyce’s generalised Kummer constructions	Differential Geometry Seminar, University of Freiburg.