- A trace formula for the distribution of rational G-orbits in ramified covers, adapted to representation stability.
- (Preprint)
- Categories of FI type: a unified approach to generalizing representation stability and character polynomials.
- Journal of Algebra, Volume 480 (2017), pp. 450-486.
- Representation Stability for Familied of Linear Subspace Arrangements.
- (Preprint)

In Winter 2014 I passed my topic exam, on representation stability and applications to arithmetic statistics, under the supervision of Benson Farb. The proposal is here.

In Spring 2012 submitted my undergraduate thesis, on a free DGLA model for the 2-cell, under the supervision of Ruth Lawrence. The thesis is here.

- Categories of FI-type: a combinatorial structure underlying rep. stability
- 2017 Apr at Indiana University, Bloomington (AMS Secitonal Meeting)
- Representation Stability for Families of Linear Subspace Arrangements
- 2016 Sep at Bowdoin College (AMS Sectional Meeting)
- Hamiltonian dynamics and Noether's theorem
- 2016 Nov in the Farb and Friends Student Seminar (U. of Chicago)
- Classical mechanics without coordinates
- 2016 Oct in the student Pizza Seminar (U. of Chicago)
- Nonstandard Analysis (limits bad, infinitesimals good)
- 2016 Apr in the student Pizza Seminar (U. of Chicago)
- Destiny, fate and free will - an incomplete guide to forcing and independence in Set theory
- 2015 Mar in the student Pizza Seminar (U. of Chicago)

- In the 2016-2017 school year, I taught Math 15300 (Calculus), 17600 (Basic Geometry (IBL)), 19520 (Mathematical Methods for the Social Sciences).
- In the 2015-2016 school year, I taught Math 15100-15200 (Calculus), 19600 (Linear Algebra).
- In the 2014-2015 school year, I was a College Fellow for Math 26700 (Representations of Finite Groups),26200 (Point-Set Topology) , 26300 (Algebraic Topology).

I'm a graduate student in at The University of Chicago, interested in the interplay between geometric topology and representation stability.

5734 S. University Avenue

Chicago, IL 60637-1514

USA

Chicago, IL 60637-1514

USA

nirg [at] math.uchicago.edu | |

Office | E14 in Eckhart basement |

Advisor | Benson Farb |