Department of Mathematics, 2-333B
Email: nharman [at] math [dot] mit [dot] edu |

I am currently a fifth year Ph.D. student in Mathematics at MIT planning on graduating in June 2017.
My advisor
is Pavel Etingof and I am interested in stability phenomena in representation theory, tensor categories in positive characteristic, and problems in algebraic combinatorics arising from representation theory. I have a
B.S. in Mathematics from UMass Amherst. Picture is of me teaching a mini-course on non-euclidean geometry to high school students at MathILy in 2014.

Pavel Etingof and I are currently co-organizing a seminar on Deligne Categories and Representation Stability.

"Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups", with Georgia Benkart and Tom Halverson,

submitted (2016) - arXiv

"Counting SET-free sets", (2016) to appear in

"Quantum integer valued polynomials", with Sam Hopkins (2016), to appear in

"Deligne categories as limits in rank and characteristic", submitted (2016) - arXiv

"p-adic dimensions in symmetric tensor categories in characteristic p", with Pavel Etingof and Victor Ostrik (2015), to appear in

"Stability and periodicity in the modular representation theory of symmetric groups" (2015), submitted - arXiv

"Generators for the representation rings of certain wreath products",

HCSSiM twice as a student, and 1+ε times as junior staff.

MIT PRIMES as a mentor.

Research Science Institute (RSI) as a mentor.

SMALL REU

Budapest Semesters in Mathematics