Alex V. Kontorovich is an American mathematician who works in the areas of analytic number theory, automorphic forms and representation theory, L-functions, harmonic analysis, and homogeneous dynamics.
Kontorovich is a Fellow of the American Mathematical Society, elected in the 2017 class of fellows.[5] He was a Sloan Research Fellow from 2013 to 2015.[6]
In 2014 Kontorovich received the Levi L. Conant Prize for the paper "From Apollonius to Zaremba: Local-global phenomena in thin orbits".[7]
Selected Publications
From Apollonius to Zaremba: Local-global phenomena in thin orbits. Bull. Amer. Math. Soc. 50 (2013), 187–228. Arxiv[8]
with Jean Bourgain: On the Local-Global Conjecture for Apollonian Gaskets. Inventiones Mathematicae 196 (2014), 589–650. Arxiv[9]
with Jean Bourgain: On Zaremba's Conjecture. Annals of Mathematics 180 (2014), 137–196. Arxiv[10]
with Hee Oh: Apollonian Packings and Horospheres on Hyperbolic 3-manifolds. J. Amer. Math. Soc. 24 (2011), 603–648. Arxiv[11]
with Hee Oh: Almost Prime Pythagorean Triples in Thin Orbits. J. Reine Angew. Math. 667 (2012), 89–131. Arxiv[12]