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From 10/24-09/26 I am an ERC Junior Fellow at the mathematics department of Bonn. Before that I spent time at Göttingen University, the TU Munich, Humboldt in Berlin and at the University of Heidelberg, following my doctoral work at the University of Oxford. Here's a copy of my Curriculum vitae. To contact me use mysurname@math.uni-bonn.de (PGP Key).
Academic Interests: I am interested in algebraic geometry, in particular K3 surfaces, cubic hypersurfaces, rationally connected varieties, positivity of bundles and cycles, birational geometry and questions in positive characteristic.
Events
With Xi Chen, we are organising a workshop titled 'Curves, K3s and Hyperkählers' at the university of Bonn on the 10-12th of June 2025.
With Christian Liedtke, we organised a Moduli Day at the TUM on the 30th of January 2020.
Research Papers
(with X. Chen) When is the diagonal contractible?: arxiv (2025).
(with A. Kouvidakis) The Fermat cubic and monodromy of lines: arxiv, NYJM (2025).
(with A. Kouvidakis) Geometry of lines on a cubic fourfold: arxiv, IMRN (2023).
(with A. Kouvidakis) On some invariants of cubic fourfolds: arxiv, European Journal of Mathematics volume 9, Article number: 58 (2023).
(with X. Chen) Curves of maximal moduli on K3 surfaces: arxiv, Forum Math Sigma, Vol. 10 (2022).
(with X. Chen, C. Liedtke) Curves on K3 surfaces: arxiv, Duke Math. J. 171 (16), 2022.
(with X. Chen, C. Liedtke) Rational curves on lattice-polarised K3 surfaces: arxiv, Algebraic Geometry, Vol. 9 Issue 4 (2022).
(with O. Bergvall) Cohomology of moduli spaces of Del Pezzo surfaces: arxiv, Math. Nachrichten Volume296, Issue1, p. 80-101 (2023).
(with J.C. Ottem) Remarks on the positivity of the cotangent bundle of a K3 surface: arxiv, Épijournal de Géométrie Algébrique, Vol. 4 (2020), Article no.8.
(with A. Kouvidakis) Measures of irrationality of the Fano surface of a cubic threefold: arXiv, Transactions of the AMS, 371 (2019), no. 10.
(with A. Javanpeykar) Invariants of Fano varieties in families: arXiv, Moscow Mathematical Journal (2018, Volume 18, Issue 2).
Free Curves on Varieties arXiv, Documenta Mathematica (2016 vol. 21).
The first cohomology of separably rationally connected varieties arXiv, Comptes Rendus Mathematique (2014, Vol 352, Issue 11).
Various older theses/notes/talks I have written can be found in the Projects Section.
PhD students
(2020-2024) Jonas Baltes
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