Akhil Mathew, 18, of Madison, entered an Intel Science Talent Search project in
mathematics. Akhil combines algebraic geometry, representation theory, and
category theory in his work on Deligne categories of complex rank. Deligne
created a large family of categories parametrized by complex numbers which
interpolate classical categories, ones in which the complex number in question
is a positive integer. Akhil shows, under certain finiteness assumptions, that
important properties of these categories are determined by constructible sets.
He then shows that these properties hold generically if they hold on a
sufficiently large set of parameters. Akhil is a tutor in chemistry, math and
French at Madison High School, where he is also active in the chess club. Since
eighth grade, he has taken courses at Drew University, where he recently
assisted in preparing a math textbook for publication. He is moderator of an
online math forum run by Johns Hopkins University and was a Davidson Fellow
Laureate in 2008. Akhil is the son of Mathew Thomas and Rama Madhavarao and was
born in India. He hopes to continue his studies at Harvard or MIT.