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.

I am on sabbatical leave during the academic year 2019-2020.


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.


  • In Spring 2019, I worked with Nicole Andrews on Hidden Markov models related to random billiards. Her work is documented in this write-up.

  • 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 non-holonomic (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.


  1. T. Chumley, S. Cook, C. Cox, and R. Feres. Rolling and no-slip bouncing in cylinders. J. Geom. Mech., 12(1):53–84, 2020. [ DOI | arXiv ]
  2. T. Chumley and R. Feres. Entropy production in random billiards and the second law of thermodynamics . ArXiv e-prints, 2019. [ arXiv ]
  3. O. Aydogmus, T. Chumley, A. Matzavinos, and A. Roitershtein. Moran-type bounds for the fixation probability in a frequency-dependent Wright-Fisher model. J. Math. Biol., 76(1):1–35, 2018. [ DOI | arXiv ]
  4. T. Chumley, R. Feres, and H.-K. Zhang. Diffusivity in multiple scattering systems. Trans. Amer. Math. Soc., 368(1):109–148, 2016. [ DOI | arXiv ]
  5. T. Chumley, R. Feres, and M. Wallace. Exact discretization of harmonic tensors. ArXiv e-prints, 2016. [ arXiv ]
  6. T. Chumley, S. Cook, and R. Feres. From billiards to thermodynamics. Comput. Math. Appl., 65(10):1596–1613, 2013. [ DOI | arXiv ]
  7. T. Chumley. Limit Theorems for Random Billiard Models. PhD thesis, 2013. [ http ]


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 333: Differential Equations (Spring 2018)
  • Math 339SP: Stochastic Processes (Spring 2017, 2018, 2019)
  • Math 342: Probability (Fall 2016, 2017, 2018)
  • 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)