Research interests
My research focuses on Algebraic Geometry with an emphasis on GromovWitten theory, logarithmic and tropical maps, moduli spaces of curves, and, more recently, moduli spaces of abelian varieties and Prym pairs.
Papers/Preprints
2024

A. Cela, A.I. Lopez, The integral Chow ring of $\mathcal{R}_2$, 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
2023

A. Cela, A.I. Lopez, Genus 0 logarithmic and tropical fixeddomain counts for Hirzebruch surfaces, preprint 2023, published in J. London Math. Soc., 109: e12892 Journal version

A. Cela, C. Lian, Fixeddomain curve counts for blowups 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
 PhDdefense 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 Master Thesis: The virtual cohomological dimension of the Mapping Class Groups , supervised by Gabriele Mondello;
 My Bachelor Thesis (in Italian): PoincaréHopf Theorem for smooth manifolds, supervised by Paolo Piazza .
Talks given
 Genus 0 logarithmic and tropical fixeddomain counts for Hirzebruch surfaces, Trieste (ICTP), Trieste Algebraic Geometry Summer School (TAGSS) 2024  Tropical Geometry and Related Topics, (smr 3965), September 2024
 The integral Chow ring of R2, Zurich (ETHZ), Algebraic Geometry and Moduli Seminar, May 2024
 Fixedcurve counts in algebraic varieties, Seminario di Algebra and Geometria (La Sapienza University of Rome), April 2024
 Algebraic and tropical curves, Geometry Graduate Colloquium (ETHZ), October 2023
 What is ... GromovWitten Theory?, Zurich Graduate Colloquium (UZH), May 2023
 Fixeddomain curve counts for blowups of projective space, Lausanne (EPFL), March 2023
 Fixeddomain curve counts for blowups of projective space, Zurich (ETHZ), Algebraic Geometry and Moduli Seminar, March 2023
 Tevelev degrees, workshop 'Recent Advances on Moduli Spaces of Curves', March 2022
 Virtual Tevelev degrees and quantum Euler class of Fano complete intersections, Zurich (ETHZ), Algebraic Geometry and Moduli Seminar, March 2022
Math Travels
 09/2024 : 'Tropical Geometry and Related Topics’ at ICTP (Trieste)
 07/2024 : 'LMS Invited Lectures 2024' at Imperial College (London)
 06/2024 : 'Moduli Stacks and Enumerative Geometry' at Cambridge University
 03/2024 : 'Enumerative Geometry and Arithmetic' at the Lorentz Center (Leiden)
 02/2024 : 'A panorama of moduli spaces' in Goethe University Frankfurt am Main
 07/2023 : 'AGNES Summer School on Intersection Theory on Moduli Spaces' in Brown University (Providence, RI)
 06/2023 : 'Helvetic Algebraic Geometry Seminar' in Les Diablarets (Switzerland)
 02/2023 : 'Moduli spaces: theory and coding' in Les Diablarets(Switzerland)
 02/2023 : 'Logarithmic geometry & moduli spaces', in Goethe University Frankfurt
 02/2023 : 'Northern German Algebraic Geometry Seminar and the award of the Algebraic Geometry Prize and the Compositio Prize', in HU Berlin
 11/2022 : 'Resonance, topological invariance of groups and moduli' in HU Berlin
 08/2022 : 'Tropical Geometry' in St. Mary's College, Moraga, California (organised by MSRI)
 06/2022 : 'Algebraic Geometry' in Roma Tre on the occasion of Sandro Verra's 70th birthday (Italy)
 06/2022 : 'Helvetic Algebraic Geometry Seminar' in Les Diablarets (Switzerland)
 05/2022 : 'Curves and K3 surfaces' in Bonn (Germany)
 03/2022 : 'Recent Advances on Moduli Spaces of Curves' in Leysin (Switzerland)
 03/2022 : 'Admcycles: coding intersection theory' in Les Diablarets (Switzerland)
 08/2021 : 'Helvetic Algebraic Geometry Seminar' in Geneva (Switzerland)
 07/2019 : 'Perugia summer school' (SMI) in Perugia (Italy)