I am an Assistant Professor of Mathematics at Mount Holyoke College. Previously, I was an NSF Alliance for Building Faculty Diversity Postdoctoral Fellow at Iowa State University. Before that, I got my PhD in mathematics at Washington University in St. Louis. See my cv for more details.
Research
I’m interested in probability theory, stochastic processes, and their applications. In the past few years I’ve worked on problems that overlap with billiard dynamical systems, differential geometry, and statistical physics.
Students
 In Spring 2019, I worked with Nicole Andrews on Hidden Markov models related to random billiards. Her work is documented in this writeup.
 In Fall 2018, I worked with Ziyan (Jessica) Feng on random polygonal billiards. Some of her work is documented on this web page.
 In Summer 2017, I worked with Qiran (Karen) Dong and Fanyi (Young) Yang (Mount Holyoke), on a project studying random billiard systems with nonholonomic (rolling) constraints. Here is their talk.
 In 2016, I worked with Tianle (Jeff) Yang (Iowa State) on a project studying the Lorentz gas model with random scatterer collisions.
Papers

T. Chumley, R. Feres, and M. Wallace. Exact discretization of harmonic tensors. to appear in Potential Anal., 2021. [ DOI  arXiv ]

T. Chumley and R. Feres. Entropy production in random billiards. Discrete Contin. Dyn. Syst., 41(3):1319–1346, 2021. [ DOI  arXiv ]

T. Chumley, S. Cook, C. Cox, and R. Feres. Rolling and noslip bouncing in cylinders. J. Geom. Mech., 12(1):53–84, 2020. [ DOI  arXiv ]

T. Chumley, R. Feres, and L. A. Garcia German. Computation of knudsen diffusivity in domains with boundary microstructure. ArXiv eprints, 2020. [ arXiv ]

O. Aydogmus, T. Chumley, A. Matzavinos, and A. Roitershtein. Morantype bounds for the fixation probability in a frequencydependent WrightFisher model. J. Math. Biol., 76(1):1–35, 2018. [ DOI  arXiv ]

T. Chumley, R. Feres, and H.K. Zhang. Diffusivity in multiple scattering systems. Trans. Amer. Math. Soc., 368(1):109–148, 2016. [ DOI  arXiv ]

T. Chumley, S. Cook, and R. Feres. From billiards to thermodynamics. Comput. Math. Appl., 65(10):1596–1613, 2013. [ DOI  arXiv ]

T. Chumley. Limit Theorems for Random Billiard Models. PhD thesis, 2013. [ http ]
Teaching
Current courses
Past courses
 Math 101: Calculus I (Spring 2019)
 Math 102: Calculus II (Fall 2016)
 Math 211: Linear Algebra (Spring 2017)
 Math 232: Discrete Math (Fall 2018)
 Math 301: Real Analysis (Fall 2020)
 Math 333: Differential Equations (Spring 2018)
 Math 339SP: Stochastic Processes (Spring 2017, 2018, 2019)
 Stat 395: Independent study, Statistical Analysis of Networks (Fall 2017)
Prior to coming to Mount Holyoke I taught:
 Introduction to Statistics (Summer 2009, Summer 2010 at Washington University)
 Calculus I (Summer 2008 at WUSTL)
 Calculus II (Fall 2013, Fall 2015 at Iowa State University)
 Linear Algebra (Summer 2012 at WUSTL, Spring 2014 at ISU)
 Real Analysis (Fall 2014 at ISU)
Miscellaneous