Section of Algebra
KU Leuven
alberto DOT cobosrabano AT kuleuven DOT be
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About me
About me
I am a Postdoc in the Department of Mathematics at the KU Leuven, under the supervision of Prof. Nero Budur. I study the interplay between moduli spaces in algebraic geometry and their associated enumerative invariants.
Previously, I was a PhD student at the University of Sheffield. My thesis, on the relation between Gromov-Witten and quasimap invariants of toric varieties, was supervised by Dr. Cristina Manolache.
Research interests
Research interests
Moduli spaces (of curves, maps...).
Enumerative geometry, (reduced) Gromov-Witten and quasimap invariants.
Relative and log geometry.
Toric geometry.
p-adic topology and tilings of trees.
News
News
I am organizing the next session of the Junior Belgian-Dutch Algebraic Geometry Seminar (Antwerp, 8th May) with Céline Fietz.
The paper arXiv:2404.01381, with Cristina Manolache and Qaasim Shafi, has been accepted for publication at the Journal of the Institute of Mathematics of Jussieu. We prove new simple normal crossings cases of the local/logarithmic correspondence for Gromov–Witten invariants using a degeneration formula for quasimaps, which we have developed. This is joint work with Cristina Manolache and Qaasim Shafi.
We describe the irreducible components of moduli spaces of stable maps to toric varieties in genus 0 combinatorially in terms of dual graphs decorated with curve classes in https://arxiv.org/abs/2506.16221. In particular, we describe the smoothable locus in a concrete example where the target is the blow-up of P^2 in a point. This is joint work with Etienne Mann.
Coming up
Coming up
Congreso Bienal de la RSME, Alicante, 19-23 january 2026.
Seminar talk at CUNEF, 16 February 2026.
Speaker at the BeNeLux Mathematical Congress, Antwerp, 7-8 April 2026
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