​Dr. Andrei Bud

I am a Postdoc at Goethe Universität Frankfurt, working with Prof. Dr. Martin Möller and Prof. Dr. Martin Ulirsch. Previously I was a PhD student at Humboldt-Universität zu Berlin, under the supervision of Prof. Dr. Gavril Farkas.

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Academic interest

My field of research is Algebraic Geometry. My research interests are: moduli spaces of curves, enumerative geometry, strata of differentials, Hurwitz spaces, Prym varieties and Brill-Noether type problems.

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Publications and preprints

• Prym enumerative geometry and a Hurwitz divisor in $$\overline{\mathcal{R}}_{2i}$$
  Preprint (2022) Preprint
• Irreducibility of a universal Prym-Brill-Noether locus
  Preprint (2021) Preprint
• A Hurwitz divisor on the Moduli of Prym curves
  Geometriae Dedicata 216 (2022) Preprint, Journal version
• The birational geometry of \( \overline{\mathcal{R}}_{g,2}\) and Prym-canonical divisorial strata
  Preprint (2021) Preprint
• Maximal gonality on strata of differentials and uniruledness of strata in low genus
  Bulletin of the London Mathematical Society 53 (2021) Preprint, Journal version
• The image in \(\mathcal{M}_g\) of strata of meromorphic and quadratic differentials
  Mathematische Zeitschrift 298 (2021) Preprint, Journal version

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Lecture notes

• I sorted and expanded the lecture notes on Moduli of differentials and Teichmüller dynamics, taught by Prof. Dr. Dawei Chen. To be published in the proceedings of the MATH+ Fall School on Algebraic Geometry

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Miscellanea

• Part of the Upper School team, I taught some preparatory classes for International Mathematical Competitions (in Romanian). The topics I covered are: Graph Theory, Pigeonhole Principle, Extremal Principle, Combinatorial Geometry and Protasov's Lemma (2019-2021).