Tolibjon Ismoilov
A Phd Student in Mathematics
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About me
About me
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 May 2026)
Contacts
Contacts
tolibjon.ismoilov[at]sissa[dot]it
Research
Research
My research interests are harmonic analysis and its applications to other areas of mathematics such as number theory and complex analysis.
Publications
Publications
Sharp sign uncertainty for trigonometric polynomials
Preprint, Submitted, [arXiv]Fourier optimization and pair correlation problems
(with M. Das and A. P. Ramos)
Preprint, Submitted, [arXiv]Sign uncertainty and de Branges spaces
(with E. Carneiro and A. P. Ramos)
to appear in Annales de l'Institut Fourier (Grenoble), [arXiv]Littlewood's estimates for L-functions in the hyperelliptic ensemble
(with E. Carneiro, P. Darbar, M. Das, and A. P. Ramos)
Bulletin of the London Mathematical Society, 58 (5): e70388, 2026, [arXiv] [Journal]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]
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