At Wesleyan, I have taught Introductory Calculus (117), Elementary Statistics (132), Vectors and Matrices (221), Fundamentals of Analysis (225), Discrete Math (228), Differential Equations (229), An Introduction to Probability Theory (231), Mathematical Statistics (232), Advanced Topics in Real Analysis (255), and Differential Geometry (283). I designed and taught a new statistics course, Intermediate Statistics (133). I have taught in the graduate Analysis sequence (513/514) as well as topics courses in Riemannian Geometry, Hyperbolic Dynamics, Hamiltonian Dynamics and Symplectic Geometry, Lie Groups and Symmetric Spaces, and Periodic Orbits and Zeta Functions (515/6).
At Chicago, I taught Intro to Linear Algebra and Analysis, Analysis in R^n, Linear Algebra, Point-Set Topology, and Abstract Algebra (standard and honors versions).
At Michigan, I taught Calc I and II (Math 115 and 116) and in the Fall of 2007 helped coordinate Precalc (Math 105).
Talks For Undergrads
- Here is a talk I gave in the Fall of 2012 and Spring of 2017 for the Wesleyan Undergrad Math Club about Minkowski geometry and special relativity.
- Here is a talk I gave at the UConn Math Club in the Fall of 2014 on “How Can We Tell That the Earth Is Round?”
- Here is a talk I gave in the Fall of 2014 for the Wesleyan Undergrad Math Club about the SIR model and the Ebola outbreak in West Africa. (Runs in Mathematica)
- Here is the talk Scott Brodie (Wes ’74) gave at the Undergrad Math Club at Wesleyan in Spring ’15 on the Jordan Curve Theorem. Here is the accompanying “Topology toolbox” explaining definitions and theorems that talk relies on.
Research With Undergrads
- In the summer of 2021, I worked with Cheng Shi. Cheng’s project had to do with estimating the rate at which solutions to a Diophantine approximation problem appear.
- In the summer of 2017, I worked with Alejandra Marcelino and Jeanne Li in the Wesleyan Summer Science Research program. Alejandra’s project was on dynamical systems in neuroscience, following this textbook. Jeanne’s project was about using tools from symbolic dynamics to study DNA.
- In the summer of 2016, I worked with Fanying Chen in the Wesleyan Summer Science Research program. Her project had to do with the Crofton formula in geometric probability.
- In the summer of 2015, I worked with Narin Luangrath and Melissa Mischell in the Wesleyan Summer Science Research program. Their project was on unmarked length spectrum rigidity for metric graphs.
- In the summers of 2010 – 2012, I worked with students in UChicago’s REU. I supervised or co-supervised (with Ben McReynolds) projects by Watee Srinin, Jahan Claes, Alex Tolish, Michael Wong, Ian Alevy and Zi Chong Kao (jointly mentored with Alex Tolish). I also did some research work with Daphne Kao.
At Wes, I have supervised the honors projects of Brian Gapinski (Birkhoff ergodic theorem), Ty Holzschuh (general relativity), Tong Satayopas (complex dynamics), and Yaqian Tang (discrete geometry).
Wes math students looking for honors or BA/MA projects should feel free to get in touch with me!