I am Associate Professor of Mathematics on the John Stewart Kennedy Foundation 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 dynamical systems.
Papers
- T. Chumley, R. Feres, and Z. Zhang. Entropy production in knudsen thermodynamics of compartmented systems. arXiv preprint, 2026. [ arXiv ]
- T. Chumley, M. Covey, C. Cox, and R. Feres. Chaotic lensed billiards. Discrete Contin. Dyn. Syst., 45(9):3345–3374, 2025. [ DOI | arXiv | http ]
- T. Chumley, R. Feres, L. A. Garcia German, and G. Yablonsky. Revisiting maxwell-smoluchowski theory: low surface roughness in straight channels. Chem. Eng. Sci., 284:119477, 2024. [ arXiv ]
- J. Ahmed, T. Chumley, S. Cook, C. Cox, H. Grant, N. Petela, B. Rothrock, and R. Xhafaj. Dynamics of the no-slip galton board. arXiv preprint, 2022. [ arXiv ]
- T. Chumley, R. Feres, and M. Wallace. Exact discretization of harmonic tensors. Potential Anal., 56(3):409–421, 2022. [ arXiv ]
- T. Chumley, R. Feres, and L. A. Garcia German. Knudsen diffusivity in random billiards: spectrum, geometry, and computation. SIAM J. Appl. Dyn. Syst., 20(3):1655–1682, 2021. [ arXiv ]
- T. Chumley and R. Feres. Entropy production in random billiards. Discrete Contin. Dyn. Syst., 41(3):1319–1346, 2021. [ arXiv ]
- T. Chumley, S. Cook, C. Cox, and R. Feres. Rolling and no-slip bouncing in cylinders. J. Geom. Mech., 12(1):53–84, 2020. [ arXiv ]
- 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. [ arXiv ]
- T. Chumley, R. Feres, and H.-K. Zhang. Diffusivity in multiple scattering systems. Trans. Amer. Math. Soc., 368(1):109–148, 2016. [ arXiv ]
- T. Chumley, S. Cook, and R. Feres. From billiards to thermodynamics. Comput. Math. Appl., 65(10):1596–1613, 2013. [ arXiv ]
- T. Chumley. Limit Theorems for Random Billiard Models. PhD thesis, 2013.
Teaching
Current courses
Past courses
- Math 101: Calculus I (Spring 2019)
- Math 102: Calculus II (Fall 2016, 2021, 2022, 2026; Spring 2025)
- Math 203: Calculus III (Fall 2022, 2025; Spring 2023, 2026)
- Math 206: Introduction to Proofs through Analysis (Fall 2024)
- Math 211: Linear Algebra (Spring 2017)
- Math 232: Discrete Math (Fall 2018)
- Math 241: Dynamical Systems (Spring 2022, 2026)
- Math 301: Real Analysis (Fall 2020, 2021; Spring 2023, 2025)
- Math 333: Differential Equations (Spring 2018)
- Math 339SP/Stat 344: Stochastic Processes (Spring 2017, 2018, 2019, 2022, 2024; Fall 2025)
- Math 342: Probability (Fall 2016, 2017, 2018, 2024, 2026; Spring 2021, 2024)
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
- I was interviewed by the AMS Mathematical Moments program about my research on billiards and thermodynamics.
- I am honored to have appeared in the Lathisms 2020 calendar. I was also featured in an MAA Focus article about Lathisms.
- The image above is a visualization of my Math genealogy.
- Information on summer research programs for math/stat students.
- Mount Holyoke math/stat student summer activities.
- Some notes that I’ve written for myself on getting started with swarm2, the high performance computing cluster at UMass.
- I’ve made a page listing Five College equivalent math/stat courses.
Contact
Email: tchumley
Office: 423 Clapp Laboratory
Telephone: 413-538-2525
Mailing address:
Department of Mathematics and Statistics
Mount Holyoke College
50 College St
South Hadley, MA 01075