Curriculum
Education:
Postdoctoral fellow, from 2021, CMAFcIO (University of Lisbon). Supervisor: C. Florentino.
Postdoctoral fellow, from 2018 to 2021, Universidade Federal Minas Gerais. Supervisor: I. Vainsencher.
Ph.D. in Mathematics, from 2014 to 2018, cotutoring Università degli Studi Roma Tre and Université de Strasbourg. (Thesis: see here).
Master degree in Mathematics, from 2012 to 2014, Università degli Studi di Palermo. (Thesis: Matrix Lie Groups).
Erasmus Program, from September 2010 to July 2011, Universidad de Granada.
Bachelor degree in Mathematics, from 2008 to 2012, Università degli Studi di Palermo. (Thesis: Introduction to generalized Jacobian).
Talks and Posters:
International Congress of Mathematical Software (ICMS), 22-25 July 2024, Durham University (UK). link
ENSPM2024 (National Meeting of the Portuguese Math. Soc.), 10-12 July 2024, University of Minho (Portugal). link
EVM 2024 (Estágios de Verão em Matemática), 16-26 July 2024, University of Lisbon (Portugal). link
Lisbon Young Mathematicians Conference 2024, 12-13 April 2024, IST, Lisbon (Portugal). link
Computational Algebraic Geometry Workshop, 27-31 March 2023, University of Warwick (UK). link
CMAFcIO Open Meetings 2022, 13-14 January 2022, CMAFcIO (Portugal). link
Seminar of Algebraic Geometry, 26 April 2021, University of Palermo (Italy).
Brazilian Algebraic Geometry Seminar, 24 March 2021. link
Seminar of Algebraic Geometry, 23 October 2020, University of Palermo (Italy).
Brazilian Algebraic Geometry Seminar, 29 April 2020. link
IV Encontro de Verão em Geometria Algébrica, 17-19 February 2020, University of Campinas (Brasil). link
Seminar of Algebraic Geometry, 29 August 2019, University of Campinas (Brasil).
32 Brazilian Colloquium, 29 July - 2 August 2019, IMPA, Rio de Janeiro (Brasil). link
1st Joint Meeting Brazil-France in Mathematics, 15 - 19 July 2019, IMPA, Rio de Janeiro (Brasil). link
COLGA, 14 December 2018, IMPA, Rio de Janeiro (Brasil). link
XXV Brazilian Algebra Meeting, 3-7 December 2018, University of Campinas (Brasil). link
GAeL XXVI, 18-22 June 2018, University of Strasbourg (France). link
Seminar of Algebraic Geometry, 12 April 2018, University of Warsaw (Poland).
Basic Algebraic Geometry Seminar, 14-15 March 2018, Institut Élie Cartan, Nancy (France). link
GAeL XXV, 26-30 June 2017, University of Bath (UK).
Chow lectures, 22-24 May 2017, Max Planck Institute and University of Leipzig (Germany). link
Cycles and Moduli, 27-30 March 2017, ETH, Zürich (Swiss Confederation). link
Schools, conferences and workshops:
Autumn Meeting of Industrial Mathematics, 4-5 October 2024, Foz do Arelho (Portugal). link
14th Combinatorics Days, 27-29 June 2024, Universidade NOVA de Lisboa (Portugal). link
Motives in Mainz, 18-22 March 2024, University of Mainz (Germany). link
Stability and Enumerative Geometry Workshop, 11-15 December 2023, University of Oslo (Norway). link
School on Mirror Symmetry and Moduli Spaces, 27 June - 1 July 2022, IST, Lisbon (Portugal). link
Moduli spaces and hyper-Kähler varieties in Rome, 13-14 September 2021, Sapienza, Rome (Italy). link
Escola Transguanabara de Geometria Algébrica, 4-13 February 2020, IMPA, Rio de Janeiro (Brasil). link
Fourth Latin American School on Algebraic Geometry and its Applications, 2-13 December 2019, University of Talca (Chile). link
3CinG Workshop, 25-27 September 2019, organized by A. Corti (Imperial Collage) and L. Heuberger (Loughborough University). link
Algebraic Geometry and Foliations, 6-8 November 2018, UFMG, Belo Horizonte (Brasil). link
A day in honor of Edoardo Sernesi, 8 November 2017, Università degli Studi Roma Tre (Italy). link
Rationality, stable rationality and birationally rigidity of complex varieties, 3-9 September 2017, Udine (Italy). link
Moduli of K-stable varieties, 10-14 July 2017, INDAM workshop in Rome (Italy). link
Giornate di Geometria Algebrica ed Argomenti Correlati XIII, 25-28 May 2016, Università di Catania (Italy). link
Moduli of Curves, 22 February-4 March 2016, CIMPA-CIMAT-ICTP School on Moduli of Curves, CIMAT, Guanajuato (Mexico). link
Cones and positivity, 4-7 August 2015, Loughborough University (UK). link
Algebraic Varieties And Their Moduli, May 2015 – June 2015, Centro di Ricerca Matematica Ennio De Giorgi, Pisa (Italy). link
SMI Summer Course in Mathematics, July 2014 – August 2014, Perugia (Italy). link
Research Visits:
TU Chemnitz, 25-27 May 2017, (invited by Christian Lehn).
IMPA (Rio de Janeiro), 9-14 December 2018, (invited by Carolina Araujo).
Unicamp (Campinas), 28-30 August 2019, (invited by Marcos Jardim).
University of Palermo, 23 October 2020, (invited by Vassil Kanev).
Languages:
Italian (mother tongue).
English (fluent).
Spanish (fluent).
French (fluent).
Portughese (fluent).
Awards and Memberships:
Honorable mention for the E. Gugino Memorial prize.
Special mention of the Committee for my Master’s Thesis.
Member of GNSAGA from 2016.
Member of CNRS from 2015 to 2018.
Referee for Bulletin des sciences mathématiques.
My reviews for zbMATH and Math Reviews:
Hyperkähler manifolds:
Addington, N., & Giovenzana, F. (2023). On the period of Lehn, Lehn, Sorger, and van Straten’s symplectic eightfold. Kyoto Journal of Mathematics, 63(1), 71-86. link
Bazhov, I. (2019). On the variety of triangles for a hyper-Kähler fourfold constructed by Debarre and Voisin. Journal of Pure and Applied Algebra, 223(6), 2530-2542. link
Camere, C., Cattaneo, A., & Laterveer, R. (2022). On the Chow ring of certain Lehn–Lehn–Sorger–van Straten eightfolds. Glasgow Mathematical Journal, 64(2), 253-276. link
Cao, Y., & Jiang, C. (2019). Remarks on Kawamata’s effective non-vanishing conjecture for manifolds with trivial first Chern classes. Mathematische Zeitschrift, 1-23. link
Chen, H. (2021). The Voisin map via families of extensions. Mathematische Zeitschrift, 1-17. link
Debarre, O., Han, F., O’Grady, K., & Voisin, C. (2020). Hilbert squares of K3 surfaces and Debarre-Voisin varieties. Journal de l'École polytechnique—Mathématiques, 7, 653-710. link
Debarre, O., & Macrì, E. (2019). On the period map for polarized hyperkähler fourfolds. International Mathematics Research Notices, 2019(22), 6887-6923. link
Mongardi, G., & Rapagnetta, A. (2021). Monodromy and birational geometry of O'Grady's sixfolds. Journal de Mathématiques Pures et Appliquées, 146, 31-68. link
Ottem, J. C. (2022). Nef cycles on some hyperkähler fourfolds. Facets of algebraic geometry. Vol. II, 228--237, Cambridge Univ. Press, Cambridge. MR161332.
Perego, A. (2017). Kählerness of moduli spaces of stable sheaves over non-projective K3 surfaces. Algebrebraic Geometry. link
Rieß, U. (2021). On the non-divisorial base locus of big and nef line bundles on K3^[2]-type varieties. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 151(1), 52-78. link
Suzuki, F. (2018). A remark on a 3-fold constructed by Colliot-Thélène and Voisin. Mathematical Research Letters. link
Birational geometry:
Bolognesi, M., & Massarenti, A. (2021). Birational geometry of moduli spaces of configurations of points on the line. Algebra & Number Theory, 15(2), 513-544. link
Chen, H. K. (2021). Threefolds of Kodaira dimension one. Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 2, 745-776. link
Chaudhuri, P. (2023). An inductive approach to generalized abundance using nef reduction. Comptes Rendus. Mathématique, 361(G1), 417-421. link
Cousin, G., Mendes, L.G. & Pan, I. (2019). Birational geometry of foliations associated to simple derivations. Bulletin de la Société Mathématique de France. link
Dang, N. B., & Ramadas, R. (2021). Dynamical invariants of monomial correspondences. Ergodic Theory and Dynamical Systems, 41(7), 2000-2015. link
Deopurkar, A., Duryev, E., & Patel, A. (2019). Ramification divisors of general projections. Documenta Mathematica. link
Fanelli, A. (2023). An introduction to rationally connected fibrations over curves and surfaces. Rendiconti del Circolo Matematico di Palermo Series 2, 72(6), 3137-3151. link
Fujino, O. (2023). On quasi-log schemes. Journal of the Mathematical Society of Japan, 75(3), 829-856. link
Karzhemanov, I. (2022). Maximum Likelihood Degree of Surjective Rational Maps. Arnold Mathematical Journal, 8(3-4), 513-516. link
Martins, R. V., & Gagliardi, E. M. (2024). Max Noether theorem for singular curves. Manuscripta Mathematica, 173(3), 1217-1232. link
Mella, M. (2020). Birational geometry of rational quartic surfaces. Journal de Mathématiques Pures et Appliquées, 141, 89-98. link
Fano varieties:
Kotschick, D., & Thung, D. K. (2020). The complex geometry of two exceptional flag manifolds. Annali di Matematica Pura ed Applicata (1923-), 199(6), 2227-2241. link
Manivel, L. (2020). Topics on the Geometry of Rational Homogeneous Spaces. Acta Mathematica Sinica, English Series, 36, 851-872. link
McKean, S., Minahan, D., & Zhang, T. (2020). All lines on a smooth cubic surface in terms of three skew lines. New York J. Math. 27, 1305-1327 (2021). link
Gromov-Witten invariants:
Acosta, P., & Shoemaker, M. (2020). Gromov–Witten theory of toric birational transformations. International Mathematics Research Notices, 2020(20), 7037-7072. link
Blankers, V., & Cavalieri, R. (2021). Witten’s conjecture and recursions for κ classes. European Journal of Mathematics, 7(1), 309-339. link
Belkale, P., & Gibney, A. (2021). Basepoint Free Cycles on 0n from Gromov–Witten Theory. International Mathematics Research Notices, 2021(2), 855-884. link
Bousseau, P. (2021). Refined floor diagrams from higher genera and lambda classes. Selecta Mathematica, 27(3), 1-42. link
Coates, T., Galkin, S., Kasprzyk, A., & Strangeway, A. (2020). Quantum periods for certain four-dimensional Fano manifolds. Experimental Mathematics, 29(2), 183-221. link
Fan, H., & Lee, Y. P. (2021). Variations on the theme of quantum Lefschetz. Singularities, mirror symmetry, and the gauged linear sigma model, 171--181, Contemp. Math., 763. MR4221906.
Lho, H. (2021). Comparison of two desingularizations of the moduli space of elliptic stable maps. Journal of the Korean Mathematical Society, 58(2), 501-523. MR4221578.
Derived categories:
Jiang, Q., Leung, N. C., & Xie, Y. (2021). Categorical Plücker Formula and Homological Projective Duality. Journal of the European Mathematical Society, 23(6), 1859-1898. link
Intersection Theory:
Cela, A., & Lian, C. (2023). Generalized Tevelev degrees of P1. Journal of Pure and Applied Algebra, 107324. MR4537718.
Kiem, Y. H., & Park, H. (2021). Virtual intersection theories. Advances in Mathematics, 388, 107858. MR4281772.
Pacini, M., & Testa, D. (2022). Complex and tropical counts via positive characteristic. Expositiones Mathematicae, 40(4), 1096-1115. MR4518645
Zhan, S. (2022). Counting rational curves on K3 surfaces with finite group actions. International Mathematics Research Notices, 2022(10), 7516-7549. link
Zhang, X. (2021). Local Euler obstructions and Chern–Mather classes of determinantal varieties. Communications in Algebra, 1-25. MR4290120.
Linear Algebra:
Vilca Rodríguez, J. L., Brandão, T. L., & Batista, V. M. (2024). Principal angles in pseudo-euclidean spaces of index 1. Linear and Multilinear Algebra, 72(5), 787-811. link