Samira Arfaee

Contact · Research · Teaching · CV

I am a PhD candidate in mathematics at Stony Brook University, advised by Evita Nestoridi. My research focuses on random walks on the symmetric group, with connections to representation theory and mixing times. Previously, I got my Masters from EPFL in Switzerland and my BA from Amirkabir University in Iran. Outside of research, I enjoy puzzles, rock climbing, and spending time with my pet Guinea Pig, Peanut.

Contact

Office: Room 2106, Math Dept. at SBU
Email: seyedehfatemeh.arfaeezarandi@stonybrook.edu
Mailing Address:

Department of Mathematics
Stony Brook University
Stony Brook NY, 11794-3651, USA

Research

Research Interests: Algebraic Combinatorics, Markov Chains, Probability, Representation Theory

Pre-Prints

Cutoff for q-deformed classical card shuffles in the type A Iwahori--Hecke algebra, with Bryan Wong (2026)

[Submitted] Shuffling via sums of Jucys–Murphy Elements, with Evita Nestoridi (2025)

Publications

A new approach to character-free proof for Frobenius theorem (Undergraduate Project), with Vahid Shahverdi (2023)

Teaching

I have been a TA for various undergraduate courses:

Foundation of Mathematical Analysis (AmirKabir)
Foundation of Matrix and Linear Algebra (AmirKabir)
Foundation of Algebra (AmirKabir)
Calculus A (SBU MAT 125)
Calculus B (SBU MAT 126)
Calculus 1 (SBU MAT 131)
Linear Algebra (SBU MAT 310)

and lectured for some others:

Proficiency in Algebra (SBU MAP 103)
Calculus A (SBU MAT 125)
Trigonometry and Logarithms (SBU MAT 130)
Calculus 3 with Applications (SBU MAT 203)

I have also advised undergratuate students in a directed reading program.