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About

Hi! My name is Riccardo Invernizzi and I’m currently a PhD Student at KU Leuven.
I am interested in number theory, combinatorics and polynomial systems both from theoretical and algorithmic pureviews.

The most important points of my academic career are summarized below.

I also enjoy playing coding competition of various kind, mainly CTF’s and competitive programming. Some challenge writeups can be found in this website. This is not meant to be a professional blog, but rather an archive of problems that I found interesting or code that may be useful in the future. However, feel free to read them and give feedbacks and suggestions.

Contacts

Publications

  • Differential experiments using parallel alternative operations, to appear on Journal of Mathematical Cryptology, with M. Calderini and R. Civino
  • Multiplication polynomials for elliptic curves over finite local rings, ISSAC 2023 Proceedings, with D. Taufer (arxiv - ACM - code)
  • ‘I See Something You Don’t See’. A Computational Analysis of the Digital Services Act and the Digital Markets Act, vol 6, Stanford Computational Antitrust, 2021, with F. Di Porto, T. Grote and G. Volpi (SSRN)
  • Artificial Intelligence and Competition Law. A Computational Analysis of the DMA and DSA, Concurrences, 3 (2021), with F. Di Porto, T. Grote and G. Volpi (SSRN)

Talks

  • [jul 23 - Conference] Multiplication polynomials for elliptic curves over finite local rings at ISSAC 2023, Tromso (slides - website)
  • [apr 23 - Workshop] Linear Convex Optimization with Gurobi at Solving Polynomial Systems, KU Leuven (notebook - color_transfer.py - website)
  • [set 21 - Podcast] A Computational Analysis of the DSA and DMA, on Stanford Computational Antitrust Podcast (youtube)

Posters

  • [jun 23] Multiplication polynomials for elliptic curves over finite local rings at Foundation of Computational Mathematics 2023, Paris (website - poster)

Academic Career

  • PhD (2023 - present) at KU Leuven;
  • Research Internship (2022-2023) at KU Leuven; supervisor: D. Taufer / F. Mohammadi
  • Research Internship (2022) at TU Munich; supervisor: V. Weger
  • Advanced Master’s in Science and Technology at IUSS Pavia (2020-2023): 100/100 cum laude; thesis: Multiplication polynomials for elliptic curves over finite local rings (pdf), supervisor: D. Taufer
  • Master’s in Mathematics (2020-2022) at University of Pavia: 110/110 cum laude; thesis: On the automorphism groups of certain radical rings with application to cryptography (pdf), supervisor: A. Canonaco, co-supervisor: M. Calderini
  • Bachelor’s in Mathematics (2017-2020) at University of Pavia: 110/110 cum laude; thesis: Asymptotic Results for Goldbach’s Conjecture (pdf), supervisor: A. Canonaco

Awards

  • Bernasconi Award (2022) for best research project
  • IUSS Scolarship (2020-2022) for selected students
  • Felice Casorati Scholarship (2020-2022) for outstanding math students
  • Research grant as data scientist in the context of 2017 PRIN “Governance through big data: challenges for European Law”
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