I am a ARC postdoc at Georgia Tech (formerly a Visiting Assistant Professor of Mathematics)

Office: Klaus 2111

E-mail Address: bernstein [at] math [dot] gatech [dot] edu

Research:

My research is in the fields of probability, random algorithms, and combinatorics. This includes finding Markov chain mixing times, such as for random walks on the symmetric group

(also known as card shuffles), using tools from representation theory, algebraic combinatorics, and probability.

My thesis under Persi Diaconis titled Random Walks on the Symmetric Group, Likelihood Orders, and Involutions

My research is in the fields of probability, random algorithms, and combinatorics. This includes finding Markov chain mixing times, such as for random walks on the symmetric group

(also known as card shuffles), using tools from representation theory, algebraic combinatorics, and probability.

- On sampling graphical Markov models. M. Bernstein, P. Tetali. Submitted arxiv
- Cutoff for random to random card shuffle. M. Bernstein, E. Nestoridi. Submitted arxiv
- A random walk on the symmetric group generated by random involutions. M. Bernstein. Electronic Journal of Probability (2018) [pdf]
- Likelihood orders for the p-cycle walks on the symmetric group. M. Bernstein. Electronic Journal of Combinatorics (2018) [pdf]
- Analyzing Boltzmann Samplers for Bose-Einstein Condensates with Dirichlet Generating Functions. M. Bernstein, M. Fahrbach, D. Randall, Proceedings of ANALCO18 arxiv
- The Mixing Time for a Random Walk on the Symmetric Group Generated by Random Involutions. M. Bernstein. Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics [pdf]

My thesis under Persi Diaconis titled Random Walks on the Symmetric Group, Likelihood Orders, and Involutions

Teaching:

- CS 2051 Fall 2018, Honors Discrete Math - see class Canvas page

- CS 3510 Summer 2018, Design and Analysis of Algorithms - see class Canvas page
- Math 3670-D Spring 2018, Probability and Statistics with Applications
- Math 4221-A Fall 2017, Stochastic Processes
- Math 4032-A Spring 2017, Combinatorial Analysis
- Math 1552-G Fall 2016, Integral Calculus
- Math 3012-K Spring 2016, Applied Combinatorics
- Math
3012-C Fall 2015, Applied Combinatorics

- Handouts from Stanford's Math 51 Winter 2014