Giorgio Navone
PhD candidate in mathematics
PhD candidate in mathematics
Hi! I am a fourth year PhD student at the London School of Geometry and Number Theory. Since September 2023, I have been working under the supervision of Rachel Newton at KCL. I am mainly interested in algebraic number theory and arithmetic geometry, in particular in rational points and Brauer-Manin obstruction for surfaces.
I have co-organised the London Junior Number Theory Seminar for the academic year 2023-2024 and I have co-organised the London Number Theory Study Group for Summer 2025 at KCL.
I am on the academic job market, as I plan to graduate in September 2026.
Nonexistence of quadratic points on quartic del Pezzo surfaces over global function fields (Giorgio Navone, Katerina Santicola, Harry Shaw, Haowen Zhang, 2025), in preparation;
Transcendental Brauer groups of cubic generalised Kummer surfaces (Giorgio Navone, 2025), submitted, see ArXiv.
Transcendental Brauer groups of cubic generalised Kummer surfaces, at Young Researchers in Algebraic Number Theory in Nottingham (September 2025, contributed);
Quadratic points on del Pezzo surfaces of degree 4, at the KCL Diophantine Geometry Club (March 2025, invited);
Period-index problem with an arithmetic geometry twist, at the London Junior Number Theory Seminar (February 2025, invited);
Transcendental Brauer groups of generalised Kummer surfaces, at the RTG Winter Seminar in Essen (January 2025, invited);
Transcendental Brauer groups of generalised Kummer surfaces, at The Advent of Rational Points II: The Second Coming (December 2024, invited);
Transcendental Brauer groups of certain K3 surfaces, at the Lightning talks session of "Mordell Conjecture 100 years later" in Boston (July 2024, contributed);
Transcendental Brauer groups of certain K3 surfaces, at the Warwick Junior Number Theory Seminar (June 2024, invited);
Étale cohomology for the cohomies, at the London Junior Number Theory Seminar (January 2024, invited);
Brauer-Manin obstruction for K3 surfaces, at Young Researchers in Algebraic Number Theory in Cambridge (September 2023, contributed);
Rational points and Brauer-Manin obstruction, at the London Junior Number Theory Seminar (May 2023, invited);
Motivic pieces of curves II, at the LSGNT mini-project presentation (April 2023, contributed).
7CCMMS15 Advanced Algebra (2025-2026);
5CCM224A Introduction to Number Theory (2025-2026);
7CCMMS20 Algebraic Geometry (2024-2025);
4CCM113A Linear Algebra and Geometry I (2024-2025);
5CCM224A Introduction to Number Theory (2024-2025);
4CCM121A Introduction to Algebra (2023-2024).