About me

I am a Junior Professor working at the Mathematical Institute of the University of Oldenburg. My research interest is algebraic geometry. Some of my present topics are algebraic torus actions, toric degenerations, Cox rings, Fano varieties and resolutions of singularities. Before I moved to Oldenburg, I was a Margarete von Wrangell fellow working at the University of Tübingen and a member of the research group in non-linear algebra at the MPI in Leipzig.
You can find my profile on Google Scholar, ResearchGate and on MathSciNet.

Contact information

Research Items

Published / Accepted for publication

• The anticanonical complex for non-degenerate toric complete intersections (with J. Hausen and C. Mauz), Manuscripta Mathematica (2022), 172, 38 pages.
• Smooth Fano intrinsic Grassmannians of type (2,n) with Picard number two (with M. I. Qureshi), International Mathematics Research Notices, IMRN, rnab213 (2021), 36 pages.
• Khovanskii-Finite Valuations, Rational Curves, and Torus Actions (with N. Ilten), Journal of Combinatorial Algebra, Volume 4, Issue 2 (2020), pp. 141 - 166.
• Towards classifying toric degenerations of cubic surfaces (with M. Donten-Bury and P. Görlach), Le Matematiche (Special Issue on Twenty-Seven Questions about the Cubic Surface), Vol 75, No 2 (2020), 537-557.
• Divisor class groups of rational trinomial varieties, Journal of Algebra 542 (2020), 43-64.
• On torus actions of higher complexity (with J. Hausen and C. Hische), Forum of Mathematics, Sigma (2019), Vol. 7, e38, 81 pages.
• On iteration of Cox rings (with J. Hausen), Journal of Pure and Applied Algebra 222 (2018), no. 9, 2737-2745.
• Log terminal singularities, platonic tuples and iteration of Cox rings (with I. Arzhantsev, L. Braun and J. Hausen), European Journal of Mathematics 4 (2018), no. 1, 242-312.
• Non-complete rational T-varieties of complexity one (with J. Hausen) Mathematische Nachrichten 290 (2017), no. 5-6, 815-826.

Preprints

• On Fano threefolds with C*-action (with C. Hische)
• On the anticanonical complex (with C. Hische)

Others

• The anticanonical complex for non-degenerate toric complete intersections, Oberwolfach Report 17 (2022).
• The anticanonical complex, Oberwolfach Report 43 (2019).

PhD thesis

In March 2018, I defended my PhD thesis, supervised by Prof. Dr. Hausen.

• Structural properties of Cox rings of T-varieties, University of Tübingen, 2018

Organizing activities

• Upcoming: 29.02.2024 - 01.03.2024, Organizer of the NoGAGS 2024 (North German Algebraic Geometry Seminar).
• Local Organzier of the "Autumn School and Workshop: Singularities and Torus Actions" together with Hendrik Süß at the Carl von Ossietzky Universität Oldenburg.
• Organizer of a Seminar Afternoon with the subject "Constructive Approaches to Varieties with Group Actions" at the Carl von Ossietzky Universität, Oldenburg (Germany).
• One of the organizers of the 2019 Meeting of the German Chapter conference of the EWM at MPI MiS, October 28-30, 2019.
• Organizer of the mentoring program Math Mentoring at the University of Tübingen (April 2019 until September 2019).

Selected Talks

• 2023, October, "Intrinsic Grassmannians and their geometry", at the Workshop "Vector bundles and combinatorial algebraic geometry" at the Goethe Univerity Frankfurt am Main (Germany).
• 2023, June, "The anticanonical complex for non-degenerate toric complete intersections", at the "Intercity Number Theory Seminar" Groningen (Netherlands).
• 2022, September, "The anticanonical complex for non - a combinatorial tool fir Fano varieties", at the Conference "Geometry meets Combinatorics in Bielefeld" at the University Bielefeld (Germany).
• 2022, April, "The anticanonical complex for non-degenerate toric complete intersections", at the Oberwolfach Workshop on "Toric Geometry“.
• 2022, February, "Intrinsic Grassmannians", at the "Algebra Seminar" at the Universität Jena (Germany).
• 2021, November, "Smooth Fano varieties with torus action of complexity two", at the "Seminar Algebraische Geometrie" at the Freie Universität Berlin (Germany).
• 2021, April, "Intrinsic Grassmannians", at the "Seminar Algebraische Geometrie" at the Freie Universität Berlin (Germany).
• 2021, February, "Intrinsic Grassmannians", at the "Algebra and Geometry Seminar“ at the Università degli studi di Trieste (Italy).
• 2020, October, "On (singular) arrangement varieties" at the "Algebra Seminar" at the University of Kentucky (USA).
• 2020, July, "Degenerations of varieties with torus action" at the "Workshop on Toric Degenerations" via Zoom (hosted by K. Kaveh, Pittsburgh (PA, USA)).
• 2019, September, "The anticanonical complex" at the Oberwolfach Workshop on "Toric Geometry".
• 2019, August: "Cox rings and T-varieties" at the "Seminar Number Theory and Algebraic Geometry" at the University of Leuven (Belgium).
• 2019, June: "Cox rings of varieties with torus action" at the "Oberseminar Algebra" at the University of Osnabrück (Germany).
• 2019, January: "A combinatorial tool for Fano varieties" at the "Baer-Kolloqium" at the University of Magdeburg (Germany).

See here for a complete list.

Teaching

• Lineare Algebra, 2023/24
• Einführung in die algebraische Geometrie, 2022.
• Kommutative Algebra, 2021/22.
• Konvexe und Diskrete Geometrie, 2021.
• Darstellungstheorie, 2020/21.
• Themen der algebraischen Geometrie, 2020.
• Kommutative Algebra, 2019/20.
• Darstellungstheorie endlicher Gruppen, 2019.