Dr. Dario Weißmann

I recently finished my PhD at the University of Duisburg-Essen primarily advised by Prof.  Georg Hein and secondarily by Prof.  Jochen Heinloth. From the 1st of April 2024 I will be a postdoc at the University of Pisa.

My research interests lie in algebraic geometry in arbitrary characterstic. Specifically, stacks and moduli of vector bundles, algebraic fundamental groups, schematic moduli spaces, and Higgs bundles.

I particularly enjoy a formal/categorical point of view.

You can find a list of my publications and preprints on arxiv:

• A functorial approach to the stability of vector bundles, Mathematische Zeitschrift, 308(4), 2024.

• A stacky approach to identifying the semistable locus of bundles, joint with Xucheng Zhang, 2023, arXiv.2302.09245, to appear in Algebraic Geometry.

• Stratifying the moduli space of stable vector bundles by decomposition type, 2023, arXiv.2308.06778

• Distinguishing Algebraic Spaces from Schemes, joint with Andres Fernandez Herrero and Xucheng Zhang, 2024, arXiv.2411.07169

Here is a link to my thesis: https://doi.org/10.17185/duepublico/81250

Talks I have given recently:

Invited Talks:

• A stacky approach to identifying the semi-stable locus of bundles, Algebraic Geometry Seminar, CIMAT,13th of May 2024

• A stacky approach to identify the semi-stable locus of vector bundles, Goethe-Universität Frankfurt am Main, Recent developments in GIT funded by CRC326 Geometry and Arithmetic of Uniformized Structures, April 24th, 2023

• A functorial approach to the stability of vector bundles, Heinrich-Heine-Universität Düsseldorf, GRK 2240: Algebro-geometric Methods in Algebra, Arithmetic and Topology, November 7th, 2022

Contributed Talks:

• A functorial approach to the stability of vector bundles, VBAC - Recent applications to the geometry of moduli spaces, University Duisburg-Essen, Essen, Germany, August 28th, 2023.

• A functorial approach to the stability of vector bundles, Bandoleros, Politecnico di Torino, Turin, Italy, October 24th, 2023.