My PhD was in arithmetic geometry. I obtained the p-adic uniformization of Shimura curves associated with quaternion algebras, which was later used in the proof of Fermat's Last Theorem. Then, I mostly switched to representation theory and integrable models in physics, which resulted in the definition of Double Affine Hecke Algebras, proof of the Macdonald conjectures in q-combinatorics, new theory of hypergeometric functions, theory of DAHA invariants of algebraic knots and links, new theory of Rogers-Ramanujan identities and other developments in algebra-geometry-topology and mathematical physics. My latest papers are focused on applications of DAHA knot invariants and their generalizations in number theory, including classical zeta and L-functions. Also, I recently wrote papers in financial mathematics, related to general-purpose AI, and on modeling the spread of COVID-19 via Bessel functions.