Tolibjon Ismoilov
A Phd Student in Mathematics
A Phd Student in Mathematics
Hey, welcome to my webpage! I am Tolib, a PhD student in Mathematical Analysis at the Abdus Salam International Centre for Theoretical Physics (ICTP) and Scuola Internazionale Superiore di Studi Avanzati (SISSA) in Trieste, Italy. I am working under the supervision of Emanuel Carneiro. Here you can find my CV (updated in April 2026)
tolibjon.ismoilov[at]sissa[dot]it
My research interests are harmonic analysis and its applications to other areas of mathematics such as number theory and complex analysis.
Fourier optimization and pair correlation problems
(with M. Das and A. P. Ramos)
Preprint, Submitted, [arXiv]
Littlewood's estimates for L-functions in the hyperelliptic ensemble
(with E. Carneiro, P. Darbar, M. Das, and A. P. Ramos)
to appear in Bulletin of the London Mathematical Society, [arXiv]
Sign uncertainty and de Branges spaces
(with E. Carneiro and A. P. Ramos)
to appear in Annales de l'Institut Fourier (Grenoble), [arXiv]
Maximizers of the $L^2\to L^4$ Fourier extension inequality for cones in finite fields
(with C. González-Riquelme)
Journal of Functional Analysis, vol.291 (2026), no.1, [arXiv] [Journal]