Research interests
My research focuses on Algebraic Geometry with an emphasis on Gromov-Witten theory, logarithmic and tropical maps, moduli spaces of curves, Brill Noether theory, and their interactions.
Papers/Preprints
2025
A. Cela, C. Lian, Complete quasimaps to Bl_{P^s} P^r, preprint 2025
A. Cela, A. Doan, On the fixed domain Gromov-Witten invariants of positive symplectic manifolds, preprint 2025
A. Cela, C. Lian, Curves on Hirzebruch Surfaces and Semistability, preprint 2025, accepted for publication in Mich. Math. Journal
A. Cela, C. Lian, A Brill-Noether theorem for (toric) surfaces, preprint 2025
A. Cela, A. Landi, The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs I, preprint 2025
2024
A. Cela, A.I. Lopez, The integral Chow ring of R2, preprint 2024
A. Cela, A.U. Kumaran, and X.Yan (with an appendix by A. Aumonier), Chow ring of the stack of plane nodal curves, preprint 2024, published in International Mathematics Research Notices Journal version
2023
A. Cela, A.I. Lopez, Genus 0 logarithmic and tropical fixed-domain counts for Hirzebruch surfaces, preprint 2023, published in J. London Math. Soc., 109: e12892 Journal version
A. Cela, C. Lian, Fixed-domain curve counts for blow-ups of projective space, preprint 2023
2022
A. Cela, Quantum Euler class and virtual Tevelev degrees of Fano complete intersections, preprint 2022, published in Arkiv för Matematik Journal version
2021
A. Cela, C. Lian, Generalized Tevelev degrees of P1, preprint 2021, published in J. Pure Appl. Algebra Journal version
A. Cela, R. Pandharipande and J. Schmitt, Tevelev degrees and Hurwitz moduli spaces, preprint 2021, published in Math. Proc. Cambridge Philos. Soc. Journal version
Notes
PhD-defense This is the presentation from the defense of my Ph.D. thesis
Poster: Tevelev degrees presented in the conference 'Algebraic Geometry' in Roma Tre on the occasion of Sandro Verra's 70th birthday.
Virtual fundamental classes These are notes I wrote during the seminars I and Miguel Moreira organised in HS 2021.
Notes from a talk I gave about the paper Infinitesimal structure of the pluricanonical double ramification locus written by D. Holmes and J. Schmitt.
Old Thesis
My Ph.D. Thesis : Fixed-curve counts in Algebraic Varieties, supervised by Rahul Pandharipande;
My Master Thesis: The virtual cohomological dimension of the Mapping Class Groups , supervised by Gabriele Mondello;
My Bachelor Thesis (in Italian): Poincaré-Hopf Theorem for smooth manifolds, supervised by Paolo Piazza.