My Research
A complete list of my preprints and publicationsMy main area of research is processes in random environments. Most of my research has been in random walks in random environments, but recently I have become interested in other processes (such as interacting particle systems) in random environments. I'm also interested in other non-classical random walks - especially the multi-excited random walk (also called the cookie random walk).
My Google Scholar Citation Profile.
My personal list of advice and resources for new researchers (grad students and undergrads).
Probability at Purdue
Current members of the probability group at Purdue University are- Rodrigo Banuelos
- Anirban DasGupta
- Burgess Davis
- Emanuel Indrei
- Takashi Owada
- Jonathon Peterson
- Thomas Sellke
- Samy Tindel
- Jing Wang
- Mark Daniel Ward
PRiME: Purdue Research in Mathematics Experience. Summer REU program that I co-directed with Edray Goins in 2016 and 2017.
Conferences
- Together with Fabrice Baudoin, I organized a conference on stochastic analysis and related topics at Purdue University in May of 2015.
- Together with Firas Rassoul-Agha, I organized a conference on random environments at Cornell University in May of 2011.
Presentations
- Quantitative CLTs for random walks in random environments
- Oscillations of quenched slowdown asymptotics for ballistic, one-dimensional RWRE
- Functional limit laws for recurrent excited random walks
- Excited random walks in cookie environments with Markovian cookie stacks
- Hydrodynamic limits for directed traps and systems of independent RWRE
- The Mathematics of Ranking Sports Teams
- Extreme Slowdowns for Excited Random Walks
- Self-interacting Random Walks (Purdue Bridge to Research seminar)
- Large Deviations for Random Walks in a Random Environment on a Strip
- Large Deviations and Slowdown Asymptotics of Excited Random Walks
- The Contact Process on the Complete Graph with Random, Vertex-dependent, Infection Rates
- Weak Quenched Limiting Distributions for One-dimensional RWRE
- Linear Algebra and the Bowl Championship Series
- Bridges of Random Walks in a Random Environment
- Non-classical Random Walks
- RWRE Current Process
- Thesis Presentation
- Properties of the Annealed Large Deviation Rate Function for a Random Walk in Random Environment
- A Random Walk Through Electrical Engineering
- Quenched Limit Laws for Transient, One-Dimensional RWRE