Nikita Borisov

A beautiful image

I am a second-year PhD student at the University of Pennsylvania. My interests lie in algebraic combinatorics and related algorithms. My pre-thesis advisor is Florian Pop, although I intend to work with Jim Haglund

Email: nborisov@sas.upenn.edu

Pronouns: He/him/his

Office: DRL 3C9

CV

About me

I grew up in Brooklyn, NY, and attended Stuyvesant High School. I got my B.A. in mathematics from Cornell University in 2021. My hobbies include snowboarding, cycling, and rock climbing.

Research

I am mostly interested in algebraic combinatorics and representation theory. In particular, I like looking at how properties of various things (discrete objects, representations of the symmetric group, etc.) can be encoded algebraically. This allows us to use algebraic methods such as the theory of symmetric functions to prove fascinating and unexpected combinatorial identites. And in the other direction, we can use combinatorial and algorithmic reasoning to prove algebraic identities.

In the works: Publications:

Teaching and Outreach

I became a big fan of math pedagogy while tutoring at the Cornell Math Support Center.

Currently I am running the Penn Graduate Pizza Seminar with Frenly Espino.

Courses taught and/or graded:
  • Fall 2023: Grader for Math 3200 Computation methods in mathematics and Math 4100 Complex Analysis
  • Winter 2023: Grader for Math 533 at Drexel University
  • Summer 2022: Teaching assistant for MIT Beaver Works Summer Institute (Quantum Software Group)
  • Fall 2020: Grader at Cornell for Math 1105: Finite Mathematics for the Life and Social Sciences

Contact me