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Francesco Hrobat

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Francesco Hrobat, portrait

I am a Mathematics PhD student at the University of Oxford, Linacre College. I am supported by the Mathematical Institute Scholarship by Oxford Mathematical Institute.

My research focuses on numerical linear algebra, including perturbation theory, randomized linear algebra and Krylov methods.

  • Publications and Preprints
    1. Matrix Perturbation Theory in the Tangent Space of Isospectral Matrices
      Francesco Hrobat, Yuji Nakatsukasa
      2026, ArXiv
    2. Generalized Friendship Paradoxes in Network Science
      Desmond J. Higham, Francesco Hrobat, Francesco Tudisco
      2025, ArXiv
    3. Lanczos with compression for symmetric matrix Lyapunov equations
      Angelo A. Casulli, Francesco Hrobat, Daniel Kressner
      2025, ArXiv

  • Talks and visits
    1. Are your friends more important than you?
      08/05/2026   Italian Linacre Society Annual Meeting, Oxford, United Kingdom
    2. Lanczos with compression for symmetric Lyapunov equations
      12/03/2026   Internal Seminar, Oxford, United Kingdom
    3. Lanczos with compression for symmetric Lyapunov equations
      24/06/2025   ILAS 2025, Kaohsiung, Taiwan
      Invited speaker at "Advances in Krylov Subspace Methods and their Applications" Minisymposium
    4. Lanczos with compression for symmetric Lyapunov equations
      20/01/2025   Due giorni di Algebra Lineare Numerica, Pisa, Italy
      Poster session
    5. Calcolo della SVD tramite funzioni di Zolotarev
      21/03/2025   SIAM Student Chapter UniPi-SNS, Pisa, Italy

  • Education
    • Oct 2025 - Now   Phd, University of Oxford, Linacre College, Oxford, United Kingdom
    • Jan 2025 - Feb 2025   Visiting student, EPFL, Lausanne, Switzerland
    • Jul 2023 - Jul 2025   Master's degree, University of Pisa, Pisa, Italy
    • Sep 2020 - Jul 2025   Diploma, Scuola Normale Superiore of Pisa, Pisa, Italy
    • Sep 2020 - Jul 2023   Bachelor's degree, University of Pisa, Pisa, Italy

  • Teaching
    • MT25: TA for Practical Numerical Analysis

  • Extra activities and awards
    • 2025 - 2029   Mathematical Institute Scholarship
    • 2020 - 2025   Scuola Normale Superiore merit-based full Scholarship
    • Nov 2024 - Jul 2025   SIAM Student Chapter officer for UniPi-SNS chapter
    • May 2025   Prima Math Fest organized by Prima Assicurazioni for selected italian students
    • Mar 2025   Generali Sping Camp organized by Assicurazioni Generali for selected italian students
    • Feb 2025   GNCS-SIAM Chapters Meeting 2025 co-organizer, Pavia, Italy
    • Sep 2024   CIME School on High-Dimensional Approximation, from Theoretical Foundations to Machine Learning and PDEs, Cetraro, Italy
    • Mar 2024   Spring into Quant Finance organized by G-Research for selected international students
    • Mar 2023 - Jun 2023   Parallel Computing (Calcolo Parallelo dall’Infrastruttura alla Matematica) organized by University of Pisa. The course consisted in theory and practice of parallel computing
    • Oct 2020   7th place – Italian Mathematical Kangourou - Student Category
    • Mag 2020   Silver Medal – Italian Mathematical Olympiads, awarded by UMI
    • Mag 2019   Silver Medal – Italian Mathematical Olympiads, awarded by UMI
    • Mar 2019   4th place – Applied Mathematics Grand Prix, awarded by Universit`a Cattolica del Sacro Cuore
    • Mag 2018   Bronze Medal – Italian Mathematical Olympiads, awarded by UMI
    • Mag 2018   Silver Medal – European Union Science Olympiad (EUSO), Ljubljana, Slovenia
    • Mag 2017   1st Place – Italian Team Mathematical Olympiads, awarded by UMI
    • 2017   1st Place – International Championships of Mathematical Games - Teams , awarded by Bocconi University