Nate Harman


   

Department of Mathematics, 2-333B
Massachusetts Institute of Technology
77 Massachusetts Avenue
Cambridge, MA 02139
USA

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.


Recent papers (by order they appeared on arXiv):

"Virtual Specht stability for FI-modules in positive characteristic", submitted (2016) - arXiv

"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 Annals of Combinatorics - arXiv

"Quantum integer valued polynomials", with Sam Hopkins (2016), to appear in Journal of Algebraic Combinatorics - arXiv

"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 Quantum Topology - arXiv

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

"Generators for the representation rings of certain wreath products", Journal of Algebra Volume 445, January 2016, Pages 125-135 - arXiv version


Programs I have been affiliated with:

MathILy and MathILy-Er as an apprentice instructor.
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