Lenny Fukshansky, Ph.D.

Professor of Mathematics


Mathematical Sciences

Areas of Expertise

Abstract Algebra
Linear Algebra
Number Theory
Adams Hall


B.S., University of California, Los Angeles; Ph.D., University of Texas at Austin

Awards and Affiliations

National Security Agency, Young Investigator Grants, 2012-2014 and 2015-2017

Simons Foundation Collaboration Grants, 2011-2012, 2013-2015 and 2017-2022

Invited Visiting Researcher, Institut Mittag-Leffler, Stockholm, Sweden - 2013, Erwin Schroedinger Institute, Vienna, Austria - 2014 and Oberwolfach Research Institute for Mathematics, Germany - 2017

Invited Visiting Researcher, Max Planck Institut für Mathematik, Bonn, Germany, 2006, 2008, 2012

Invited Visiting Researcher, Institut des Hautes Etudes Scientifique, Paris, France, 2007, 2010

Research and Publications

L. Fukshansky and D. Kogan. On the geometry of nearly orthogonal lattices. Linear Algebra and its Applicationsvol. 629 (2021), pg. 112--137

L. Fukshansky, P. Guerzhoy and S. Kuehnlein. On sparse geometry of numbers. Research in the Mathematical Sciences, vol. 8 no. 1 (2021), Article #2

S. Aletheia-Zomlefer, L. Fukshansky and S. R. Garcia. The Bateman-Horn conjecture: Heuristic, history, and applications, Expositiones Mathematicae. vol. 38 no. 4 (2020), pg. 430--479

L. Fukshansky and Y. Shi. Positive semigroups and generalized Frobenius numbers over totally real number fields. Moscow Journal of Combinatorics and Number Theory, vol. 9 no. 1 (2020) pg. 29--41

L. Fukshansky and A. Boettcher. Representing integers by multilinear polynomials. Research in Number Theory, vol. 6 no. 4 (2020), Article #38

L. Fukshansky, D. Needell, J. Park and J. Xin. Lattices from tight frames and vertex transitive graphs. Electronic Journal of Combinatorics, vol. 26 no. 3 (2019), P3.49, 30 pp.

L. Fukshansky, D. Needell and B. Sudakov. An algebraic perspective on integer sparse recovery. Applied Mathematics and Computation, vol. 340 (2019), pg. 31--42

L. Fukshansky and N. Moshchevitin. On an effective variation of Kronecker's approximation theorem avoiding algebraic sets. Proceedings of the American Mathematical Society, vol. 146 no. 10 (2018), pg. 4151--4163

L. Fukshansky. Height bounds on zeros of quadratic forms over Q-bar. Research in Mathematical Sciences, vol. 2 no. 1 (2015), art. 19, 26 pp. 

A. Boettcher, L. Fukshansky, S. R. Garcia and H. Maharaj. On lattices generated by finite Abelian groups. SIAM Journal on Discrete Mathematics, vol. 29 no.1 (2015), pg. 382--404

W. K. Chan, L. Fukshansky, and G. Henshaw, Small zeros of quadratic forms missing a union of varieties, Transactions of the American Mathematical Society, vol. 366 no. 10 (2014), pg. 5587--5612