Timothy Chumley Department of Mathematics & Statistics Mount Holyoke College South Hadley, MA 01075 Phone: (413) 538-2299 Office: 404b Clapp Lab Email: tchumley@mtholyoke.edu Homepage: http://mtholyoke.edu/ tchumley Employment Assistant Professor, Mount Holyoke College, Department of Mathematics & Statistics, 2016 present NSF Alliance Postdoctoral Research Fellow, Iowa State University, Department of Mathematics, 2013 2016 Education Ph.D. Mathematics, Washington University, 2013 M.S. Mathematics, Marquette University, 2007 B.S. Computer Science, Mathematics, Marquette University, 2005 Fields of Research Interest Probability, dynamical systems, billiards, mathematical physics Grants, Fellowships, Awards AMS-NSF International Congress of Mathematicians travel award, 2014, 2018 AMS Project NExT Fellow, 2016 2017 American Institute of Mathematics SQuaRE grant, 2015 2017 NSF Alliance for Diversity in Mathematical Sciences Postdoctoral Fellowship, 2013 2016 Dissertation Fellowship, Washington University, 2012 2013 University Fellowship, Washington University, 2007 2008, 2010 Phi Beta Kappa, 2005 Research Articles 1. T. Chumley, S. Cook, C. Cox, and R. Feres. Rolling and no-slip bouncing in cylinders. ArXiv e-prints, 2018. 2. 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. 3. T. Chumley, R. Feres, and M. Wallace. Exact discretization of harmonic tensors. ArXiv e-prints, 2016. 4. T. Chumley, R. Feres, and H.-K. Zhang. Diffusivity in multiple scattering systems. Trans. Amer. Math. Soc., 368(1):109 148, 2016. 5. T. Chumley, S. Cook, and R. Feres. From billiards to thermodynamics. Comput. Math. Appl., 65(10):1596 1613, 2013.
Timothy Chumley 2 Invited Presentations AMS Eastern Sectional Meeting, Special Session on Billiard Dynamics: Standard and Alternative Collision Models, September 2018 Joint Mathematics Meetings, Special session on Research by Postdocs of the Alliance for Diversity in Mathematics, January 2018 AIMS Conference on Dynamical Systems, Differential Equations and Applications, Special Session on Dynamical systems and their applications, July 2016 Washington University, Geometry seminar, April 2016 Mount Holyoke College, Colloquium, February 2016 Joint Mathematics Meetings, Special session on Research by Postdocs of the Alliance for Diversity in Mathematics, January 2016 American Institute of Mathematics, Workshop on stochastic methods in non-equilibrium dynamical systems, June 2015 The Dynamical Systems, Ergodic Theory, and Probability Conference Dedicated to Nikolai Chernov, May 2015 Washington University, Geometry seminar, March 2015 University of Wisconsin Madison, Probability seminar, November 2014 Iowa State University, Colloquium, April 2014 AMS Central Sectional Meeting, Special Session on Statistical Aspects of Dynamical Systems, October 2013 Iowa State University, Probability seminar, April 2013 University of Massachusetts Amherst, Applied Analysis and Computation Seminar, November 2012 Clemson University, Carolina Dynamics Symposium, April 2012 Contributed Presentations International Congress of Mathematicians, Probability session, August 2018 Seminar on Stochastic Processes, University of Virginia, March 2017 International Congress of Mathematicians, Probability session, August 2014 10th Cornell probability summer school, July 2014 Joint Mathematics Meetings, Special session on Brownian Motion and Stochastic Processes, January 2013 Progress and Problems in Dynamics (poster), University of Houston, May 2012 Seminar on Stochastic Processes, University of Kansas, March 2012 Selected Conference Participation AMS Eastern Sectional Meeting, Newark, September 2018. International Congress of Mathematicians, Rio de Janeiro, August 2018. Seminar on Stochastic Processes, Brown University, May 2018. Joint Mathematics Meetings, San Diego, January 2018. Mathfest, Chicago, August 2017. AIM SQuaRE on Stochastic thermodynamics and random billiards, June 2017 Seminar on Stochastic Processes, University of Virginia, March 2017.
Timothy Chumley 3 Joint Mathematics Meetings, Atlanta, January 2017. Mathfest, Columbus, August 2016. The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, July 2016. Joint Mathematics Meetings, Seattle, January 2016. Midwest Probability Colloquium, Northwestern University, October 2015. AIM SQuaRE on Stochastic thermodynamics and random billiards, July 2015. AIM Workshop on Stochastic methods for non-equilibrium methods in dynamical systems, June 2015. The Dynamical Systems, Ergodic Theory, and Probability Conference Dedicated to Nikolai Chernov, May 2015. Seminar on Stochastic Processes, University of Delaware, April 2015. Midwest Probability Colloquium, Northwestern University, October 2014. International Congress of Mathematicians, Seoul, August 2014. 10th Cornell probability summer school, Cornell University, July 2014. Dynamical systems summer school, University of Houston, May 2014. Seminar on Stochastic Processes, UC San Diego, March 2014. Joint Mathematics Meetings, Baltimore, January 2014. AMS Central Sectional Meeting, St. Louis, October 2013. Midwest Probability Colloquium, Northwestern University, October 2013. Joint Mathematics Meetings, San Diego, January 2013. Midwest Probability Colloquium, Northwestern University, October 2012. Progress and Problems in Dynamics, University of Houston, May 2012. Carolina Dynamics Symposium, Clemson University, April 2012. Seminar on Stochastic Processes, University of Kansas, March 2012. Gone Fishing Poisson Geometry Meeting, Washington University, October 2011. Teaching Mount Holyoke College Current and upcoming Math 342, Probability, Fall 2018. See description below. Past Math 339SP, Stochastic Processes, Spring 2018. (18 students) See description below. Math 333, Differential Equations, Spring 2018.
Timothy Chumley 4 (26 students) A first course in differential equations, from the perspective of understanding solutions analytically, qualitatively, and numerically. The course introduces a variety of models from physics (harmonic oscillators), ecology (logistic, Lotka-Volterra, predator-prey population models), and epidemeology (SIR). Students learn analytic techniques (separation of variables, method of undetermined coefficients, integrating factors) for one-dimensional systems, as well as qualitative techniques (phase lines, bifurcation diagrams) and numerical methods (Euler s method and variations). For higher-dimensional systems, an emphasis is placed on the matrix exponential, generalized eigenvectors, and linear algebraic techniques in general for linear systems, and vector fields, phase portraits, existence and uniqueness, linearization, nullclines, separatrices, and other qualitative techniques for nonlinear systems. Computation with Matlab is emphasized throughout. Math 342, Probability, Fall 2017. (2 sections, 48 students) See description below. Stat 395, Independent study in Statistical Analysis of Networks, Fall 2017. (3 students) An introduction to the statistical methods and modeling of data arising as a discrete mathematical structures. Emphasis on the statistical methodologies and probabilistic theory. Student Research, Summer 2017. (2 MHC students; Karen Dong and Young Yang) Math 211, Linear Algebra, Spring 2017. (27 students) A first course in linear algebra. Topics include introduction to vector and matrix algebra; theory of linear systems of equations; linear transformations from algebraic and geometric perspectives; vector spaces, linear independence, and bases; orthogonality; eigenvalues and eigenvectors; applications of linear algebra to probability, dynamical systems, and physical sciences. Math 339/Stat 344, Stochastic Processes, Spring 2017. (22 students) This course develops the theory of stochastic processes simultaneously from simulation, theoremproof, and application-oriented perspectives. Topics include Markov chains in discrete and continuous time, stochastic optimization and Markov Chain Monte Carlo, queueing theory, Poisson processes, branching processes, martingales, and Brownian motion. In addition to theory, the course investigates applications of stochastic processes, including problems in computer science, statistical sampling, models of call centers, and models of stock prices. Simulations using R programming language used to compare with theory. Math 102, Calculus II, Fall 2016. (26 students) Second semester course in calculus with an emphasis on both conceptual and computational ideas. Topics include techniques of integration, applications of integration, differential equations, sequences, series, and Taylor series. Math 342, Probability, Fall 2016. (32 students) This course develops the theory of probability simultaneously from both theorem-proof and application-oriented perspectives. Topics include: axiomatic probability; random variables, expectation, and variance; discrete distributions; continuous distributions; stochastic processes; functions of random variables; probabilistic limit theorems. Simulations using R programming language used to compare with theory. Iowa State University Calculus II: Fall 2013, Fall 2015. Theory of Linear Algebra: Spring 2014. Introduction to Real Analysis: Fall 2014.
Timothy Chumley 5 Washington University Calculus I: Summer 2008. Matrix Algebra: Summer 2012. Introduction to Statistics: Summer 2009, Summer 2010. TA for Calculus I, II, III and Business Calculus II during 2008 2012. Washington University Teaching Citation recipient, 2013 Marquette University TA for Calculus I, II, III during 2005 2007. Service at Mount Holyoke College Committee on the Goldwater Fellowship, 2017 2020 TAs and graders co-organizer, Mathematics and Statistics, 2017 present Data science curriculum committee, 2016 2017 Problem solving club co-advisor, 2016 2017 Mathematics and Statistics LITS liaison, 2016 2017 Professional Activities Co-organizer for Special Session at AMS Fall Eastern Sectional Meeting, September 2018 Judge for MAA Undergraduate Poster Session at JMM, January 2017 Co-organizer for Special Session at 11th AIMS Conference on Dynamical Systems Differential Equations and Applications, Orlando, July 2016 Organizer for AIM SQuaRE on Stochastic thermodynamics and random billiards, 2015 2017 Co-organizer for AMS Special session on Statistical Aspects of Dynamical Systems, October 2013 Co-organizer, Iowa State University probability seminar, 2014 2016 Organizer, Graduate Student Seminar, Washington University, 2012. Professional Memberships Member, American Mathematical Society, 2007 Present. Member, Mathematical Association of America, 2016 Present. Miscellaneous Programming Languages: C, C++, Java, LaTeX, Matlab, Perl, Python, R, Sage. Foreign Languages: Fluent in Spanish. Last updated: November 14, 2018