Algebraic Geometry and Mathematical Physics Group
University of Sheffield
acobosrabano1 AT sheffield DOT ac DOT uk
About me
I am a PhD student of the School of Mathematics and Statistics, at the University of Sheffield. I am studying the moduli spaces of stable maps and stable quasimaps to toric varieties, as well as their consequences in enumerative geometry, supervised by Cristina Manolache.
Research interests
Moduli spaces of curves and maps.
Enumerative geometry, (reduced) Gromov-Witten and quasimap invariants.
Relative and log geometry.
Toric geometry and Batyrev mirror symmetry.
p-adic topology and tilings of trees.
News
In arXiv:2404.01381 we have proven 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 have recently uploaded a paper (arXiv:2310.06727) where we define all-genera reduced Gromov–Witten invariants for complete intersections in projective space. It is joint work with Etienne Mann, Cristina Manolache and Renata Picciotto.
Coming up
Imperial College London, 8 April, Fanosearch seminar, invited talk.
Sheffield, 10-12 April, VI BrAG Meeting, including poster presentation.
QMUL, London, 25 April, Facets of Algebraic Geometry.
Angers, May-June, visiting Prof. Etienne Mann.