Firdavs Rakhmonov

Firdavs Rakhmonov is a Research Fellow at the University of St Andrews, affiliated with the School of Mathematics and Statistics. His research focuses on additive combinatorics, geometric measure theory, and discrete geometry, with particular emphasis on problems in finite fields and their applications to distance sets, incidence geometry, and Fourier analytic methods.

His work explores the intersection of combinatorial and geometric structures, including the Erdős-Falconer distance problem, restriction theorems in finite fields, and the distribution of similar configurations in vector spaces. He employs tools from harmonic analysis, algebraic geometry, and additive number theory to address these questions.

Recent publications highlight contributions to dilated configurations, quotient sets of quadratic distances, and exceptional projections in finite field settings. While no academic awards are explicitly noted, his research demonstrates significant engagement with foundational problems in discrete and continuous geometry.