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- Born October 26, 1965, in Trieste, Italy. - 1984: Diploma at I.T.C. "Gian Rinaldo Carli", Trieste. - 1985-86: Cadet at the Italian Air Force Academy (Eolo IV) as an engineering student. - 1987: Admission to the Scuola Normale Superiore as a student in Mathematics. - 1991: Degree in Mathematics at the University of Pisa. Thesis: Tempo ottimale per sistemi lineari autonomi in spazi di Hilbert. Advisor: prof. Giuseppe Da Prato. - 1991: Diploma in Mathematics at Scuola Normale Superiore, Pisa. - 1996: Ph.D. in Mathematics at Scuola Normale Superiore, Pisa. Thesis: Periodic points for expanding maps and for their extensions Advisor: prof. Edoardo Vesentini (MGP). - 1999-2017: Researcher in Mathematics at the Tor Vergata University of Rome in Mathematical Analysis (MAT/05). - 2017-now: Associate professor in Mathematics at the Tor Vergata University of Rome in Mathematical Analysis (MAT/05). National Scientific Qualification 2012 (01/A3). If you are curious about how I started studying mathematics, watch this informal interview (in italian). |
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I am interested in Number Theory, Combinatorics and Complex Analysis
(a brief survey of my research is given in this talk:
Trento 2013). My Google Scholar profile is HERE and my Research Gate profile is HERE. My ORCID ID is 0000-0002-5619-3513. A complete list of my papers can be found HERE. This is a list of the main publications. - Extensions of MacMahon's sums of divisors (with Tewodros Amdeberhan and George E. Andrews), Research in the Mathematical Sciences, volume 11, article 8 (2024). - A local-global theorem for p-adic supercongruences (with Hao Pan and Chen Wang), Journal fur die reine und angewandte Mathematik, 790 (2022), 53-83. - Three pairs of congruences concerning sums of central binomial coefficients (with Guo-Shuai Mao), International Journal of Number Theory, 17 (2021), No. 10, 2301-2314. - A bivariate generating function for zeta values and related supercongruences, Journal of Difference Equations and Applications, 26 (2020), 1526-1537. - Supercongruences related to 3F2(1) involving harmonic numbers, International Journal of Number Theory, 14 (2018), 1093-1109. - Supercongruences for the Almkvist-Zudilin numbers (with Tewodros Amdeberhan), Acta Arithmetica, 173 (2016), 255-268. - Large Peg-Army Maneuvers (with Luciano Guala', Stefano Leucci, and Emanuele Natale), 8th International Conference on Fun with Algorithms (FUN 2016), Volume 49, FUN 2016, June 8-10, 2016 - La Maddalena, Italy. - New properties of multiple harmonic sums modulo p and p-analogues of Leshchiner's series (with Khodabakhsh Hessami Pilehrood and Tatiana Hessami Pilehrood), Transactions of the American Mathematical Society, 366 (2014) 3131-3159. - Congruences for central binomial sums and finite polylogarithms (with Sandro Mattarei), Journal of Number Theory, 133 (2013), 131-157. - q-Analogs of some congruences involving Catalan, Advances in Applied Mathematics, 48 (2012), 603-614. - Constraining spacetime torsion with the Moon and Mercury (with Riccardo March, Giovanni Bellettini and Simone Dell'Agnello), Physical Review D 83, 104008 (2011). - More congruences for central binomial coefficients, Journal of Number Theory, 130 (2010), 2639-2649. - Congruences of alternating multiple harmonic sums (with Jianqiang Zhao), Journal of Combinatorics and Number Theory, 2.2 (2010), 129-159. - New congruences for central binomial coefficients, (with Zhi-Wei Sun), Advances in Applied Mathematics, 45 (2010), 125-148 - The operad Lie is free (with Paolo Salvatore), Journal of Pure and Applied Algebra, 213 (2009), 224-230. - Congruences for Sums of Binomial Coefficients (with Zhi-Wei Sun), Journal of Number Theory, 126 (2007), no.2, 287-296. - The dinner table problem: the rectangular case, INTEGERS, A11, 6 (2006). - Commuting Holomorphic Self-Maps of the Unit Disc, Ergodic Theory and Dynamical Systems, 24, 945-953 (2004). - Identity Principles for Commuting Holomorphic Self-Maps of the Unit Disc (with Filippo Bracci and Fabio Vlacci), Journal of Mathematical Analysis and Applications, 270, 451-473 (2002). - The Julia-Wolff-Caratheodory theorem(s) (with Marco Abate), Contemporary Mathematics, 222, 161-172 (1999). - Common fixed points of commuting holomorphic maps of the polydisc which are expanding on the torus, Advances in Mathematics, 138, 92-104 (1998). |
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In the last few years, my teaching load included the following courses: 1) Analisi Matematica 2 - CdL Ing. Meccanica e Ing. Energetica- Student evaluations: 2022-23, 2023-24. 2) Analisi Matematica - CdL Informatica- Student evaluations: 2023-24. 3) Analisi Matematica 2 - CdL Matematica - Student evaluations: 2015-16, 2016-17, 2017-18. I had the chance to give a few divulgative talks about Combinatorics for high school students (in italian): lecture 1, lecture 2, lecture 3, lecture 4. See HERE for the whole project. I have a YouTube channel which offers a growing collection of videos about mathematical analysis (in italian). |
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I am a big fan of the American Mathematical Monthly's Problem Section. Take a look at this page. Here are my contributions to The On-Line Encyclopedia of Integer Sequences. I also like to "waste" my time on earning reputation points (and learning new things) on math.stackexchange 
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