The University of North Carolina at Chapel Hill

Teaching and Mentoring

Courses taught

1. Stability of Markov processes (Special topics course STOR 890).

2. Weak convergence and applications (STOR 831).

3. Honors probability course for undergraduates (STOR 536), developed and taught for the first time.

4. Probability II (STOR 635).

5. Introduction to Probability (STOR 435).

6. Introduction to Data Models and Inference (STOR 155).

PhD Students

1. Brendan Brown (completed May 2021). Thesis titled `Convergence questions for reflected diffusions arising from interacting particles’. Senior Statistician at NoviSci.

2. Prabhanka Deka (co-advised with Mariana Olvera-Cravioto, completed May 2024). Thesis on `Local limits and PageRank asymptotics of Random networks’. Postdoc at Peking University.

3. Benjamin Estevez (co-advised with Amarjit Budhiraja, completed May 2024). Thesis on `Ergodicity and scaling limits of interacting particle systems’.

4. Dilshad Imon (co-advised with Amarjit Budhiraja, completed May 2026). Thesis on `Asymptotics and Long-time Behavior of Flocking-type Interacting Particle Systems‘. Postdoc at SUNY Stony Brook.

5. Andrew Nguyen. 3rd year PhD student. Working on `Flocking with multiple types’.

 

Masters Students

1. Gang Li (completed April 2017, thesis title: Methylation Data Analyses)co-advised with J.S. Marron.

2. Siyu An (completed December 2017, thesis title: A Study of Donation Pattern for UNC Loyalty Fund), co-advised with J.S. Marron.

3. Matthew Dickson, Jesse Pritchard (completed May 2016, thesis title: Multi-server Queueing Networks), both co-advised with Wilfrid Kendall, as part of the MASDOC program at the University of Warwick, UK.

Undergraduate Students

1. Josie Gu. Working on `Mixing times of Markov chains’.

2. Vasishta Tumuluri (Senior). Undergraduate thesis on root finding algorithms, and opinion dynamics on co-evolving networks. (Received the STAN award for his thesis).

 

Postdocs mentored

1. Peter Rudzis (joint with Amarjit Budhiraja). Worked on SPDEs, strong solutions and KPZ fluctuations in rank-based diffusions. Currently postdoc at University of Gothenburg.

2. Eva Loeser (joint with Amarjit Budhiraja). Working on rank-based load balancing schemes.