Andrei Bud

Affiliation

I am a CNRS Postdoc at the Institut de Mathématiques de Toulouse working with Prof. Dr. Adrien Sauvaget. I am part of the ERC Starting Grant Spin curves enumeration. Previously I was a Postdoc at the Goethe-Universität Frankfurt working with Prof. Dr. Martin Möller and Prof. Dr. Martin Ulirsch. Before that, I was a PhD student at Humboldt-Universität zu Berlin, under the supervision of Prof. Dr. Gavril Farkas. 

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. 

Publications and preprints

• Prym-Brill-Noether theory for ramified double covers
  Preprint (2024) Preprint 

• The Kodaira dimension of even spin strata of Abelian differentials (joint with D. Chen and M. Möller)
  Preprint (2024) Preprint 

• The class of the Prym-Brill-Noether divisor
  Preprint (2024) Preprint 

• Maximal Brill-Noether loci via degenerations and double covers (joint with R. Haburcak)
  Accepted in Annali della Scuola Normale Superiore di Pisa (2025) Preprint, Journal version 

• Brill-Noether loci and strata of differentials
  Transactions of the American Mathematical Society 378 (2025) Preprint, Journal version 

• The birational geometry of the Moduli of 2-branched Prym curves and Prym-canonical divisorial strata
  Selecta Mathematica 30 (2024) Preprint, Journal version 

• Irreducibility of a universal Prym-Brill-Noether locus
  International Mathematics Research Notices 2023 (2023) Preprint, Journal version

• Prym enumerative geometry and a Hurwitz divisor in the Moduli of Prym curves
  Preprint (2022) Preprint

• A Hurwitz divisor on the Moduli of Prym curves
  Geometriae Dedicata 216 (2022) Preprint, Journal version

• 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 the Moduli  space of curves of strata of meromorphic and quadratic differentials
  Mathematische Zeitschrift 298 (2021) Preprint, Journal version

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