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On sparse geometry of numbers (Prof. Lenny Fukshansky)
March 2, 2022 @ 4:15 pm - 5:30 pm
Title: On sparse geometry of numbers
Speaker: Prof. Lenny Fukshansky, Department of Mathematics, Claremont McKenna College
Abstract: Geometry of Numbers is an area of mathematics pioneered by Hermann Minkowski at the end of the 19th century. He achieved stunning success introducing a novel geometric framework into the study of algebraic numbers, prompting mathematicians of later generations to compare his work to “the story of Saul, who set out to look for his father’s asses and discovered a Kingdom” (J. V. Armitage). In this talk, we will look at some contemporary variations of Minkowski’s classical results that will take us on a journey from linear algebra and convex analysis to algebraic number theory and arithmetic geometry. This is joint work with P. Guerzhoy and S. Kuehnlein.
Lenny Fukshansky is a Professor of Mathematics at Claremont McKenna College. His work is at the intersection of number theory, discrete geometry and geometric combinatorics. He is especially interested in lattices, quadratic forms, polynomials, height functions and Diophantine problems. When not doing math, Lenny loves biking in the mountains and drinking wine, although tries not to do it simultaneously.
