Nate Harman


   

315 Eckhart Hall
University of Chicago
1118 E. 58th St
Chicago IL, 60637
USA

Email: nharman [at] math [dot] uchicago [dot] edu

I am currently an NSF Postdoctoral Fellow and a Dickson Instructor at the University of Chicago. I got my PhD from MIT in 2017, my thesis was titled "Deligne Categories and Representation Stability in Positive Characteristic", and my PhD advisor was Pavel Etingof. I am interested in stability phenomena in representation theory, tensor categories in positive characteristic, and problems in algebraic combinatorics arising from representation theory. The picture is of me teaching a mini-course on non-euclidean geometry to high school students at MathILy in 2014.


Recent papers (by order they appeared on arXiv):

"Virtual Specht stability for FI-modules in positive characteristic", Journal of Algebra Volume 488, 15 October 2017, Pages 29-41 - arXiv

"Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups", with Georgia Benkart and Tom Halverson,
Journal of Algebraic Combinatorics August 2017, Volume 46, Issue 1, pp 77–108 - arXiv

"Counting SET-free sets", (2016) to appear in Annals of Combinatorics - arXiv

"Quantum integer valued polynomials", with Sam Hopkins, Journal of Algebraic Combinatorics March 2017, Volume 45, Issue 2, pp 601–628 - 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) - arXiv

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


Programs I have been affiliated with:

Math Circles of Chicago
MathILy and MathILy-Er
HCSSiM
MIT PRIMES
Research Science Institute (RSI)
SMALL REU
Budapest Semesters in Mathematics