Tolibjon Ismoilov
PhD in Mathematics
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About me
About me
Hey, welcome to my webpage! I am Tolib and I have recently completed my PhD in Mathematics at Scuola Internazionale Superiore di Studi Avanzati (SISSA) in Trieste, Italy, under the supervision of Emanuel Carneiro. You can find my PhD thesis here and my CV here (updated in September 2026).
Contacts
Contacts
myfirstname [dot] mylastname [dot] work [at] gmail [dot] com
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)
to appear in Revista Matemática Iberoamericana, [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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