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.[6] He was a Sloan Research Fellow from 2013 to 2015.[7]
In 2014 Kontorovich received the Levi L. Conant Prize for the paper "From Apollonius to Zaremba: Local-global phenomena in thin orbits".[8]
Selected publications
From Apollonius to Zaremba: Local-global phenomena in thin orbits. Bull. Amer. Math. Soc. 50 (2013), 187–228. Arxiv[9]
with Jean Bourgain: On the Local-Global Conjecture for Apollonian Gaskets. Inventiones Mathematicae 196 (2014), 589–650. Arxiv[10]
with Jean Bourgain: On Zaremba's Conjecture. Annals of Mathematics 180 (2014), 137–196. Arxiv[11]
with Hee Oh: Apollonian Packings and Horospheres on Hyperbolic 3-manifolds. J. Amer. Math. Soc. 24 (2011), 603–648. Arxiv[12]
with Hee Oh: Almost Prime Pythagorean Triples in Thin Orbits. J. Reine Angew. Math. 667 (2012), 89–131. Arxiv[13]
↑Kehoe, Elaine (April 2014). "2014 Conant Prize"(PDF). Notices of the American Mathematical Society. 61 (4): 404–405.
↑Kontorovich, Alex (2012). "From Apollonius to Zaremba: Local-Global Phenomena in Thin Orbits". arXiv:1208.5460 [math.NT].
↑Bourgain, Jean; Kontorovich, Alex (2012). "On the Local-Global Conjecture for integral Apollonian gaskets". arXiv:1205.4416 [math.NT].
↑Bourgain, Jean; Kontorovich, Alex (2011). "On Zaremba's Conjecture". arXiv:1107.3776 [math.NT].
↑Kontorovich, Alex; Oh, Hee (2008). "Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds". arXiv:0811.2236 [math.DS].
↑Kontorovich, Alex; Oh, Hee (2010). "Almost prime Pythagorean triples in thin orbits". arXiv:1001.0370 [math.NT].
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