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Other Teaching and Outreach

The integrable systems research working group

Since August 2014 I have been organizing a weekly research meeting for the graduate students working in integrable systems theory at the university of Arizona. The graduate students, mainly advised by Ken McLaughlin, and informally by myself, present their research to the group, we review classical papers in the field as a way of learning new techniques in the field, and have a number of open and ongoing research projects on which the students give progress reports to the group.

Graduate Student Workshops

In October 2013, as part of the “Conference on Integrable Systems, Random Matrix Theory, and Combinatorics” I worked with Professors Peter Miller and Robert Buckingham to run a workshop on solitary waves in integrable nonlinear dispersive PDE. in particular students learned about Lax-Pair representations of integrable PDE and how to use them to construct multi-soliton solutions using the Sine-Gordon equation as a test case. 

High School Workshops

While at University of Arizona I have had the opportunity to help organize and speak at workshops for local high school students hosted on the University of Arizona campus. The workshops introduce students to accessible problems in mathematics and give the students an opportunity to see what research in mathematics is all about. Among the workshops I presented were (1) using game theory to ‘solve’ simple games like Nim and (2) an introduction to tilings problems where the students learned to construct their own planar tilings.

New Start Summer Program

The New Start program at the University of Arizona gives first generation college students and incoming freshmen from disadvantaged backgrounds the opportunity to take a university course during the summer before their first full semester. Students acclimate to the university environment while also learning study skills to better prepare them to succeed. As part of this program I have instructed courses, worked with students on study and organizational skills, and co-organized an  “academic conference” where the students presented reports in a conference like setting at the end of the summer.

Qualifying Exam Preparation and Tutoring

In 2007 and 2008 I ran recitation sections, prepared small lectures/workshops, and tutored individual first and second year graduate students for the PhD qualifying exams given by the Program in Applied Mathematics at the University of Arizona. The exams tested each of the year long “core” courses in the first year of study: Real Analysis, Numerical Analysis, and Methods of Applied Mathematics (basic PDE, transform methods, complex variables, intro to functional analysis and spectral theory)

UA Math New Graduate Student Integration Workshop

In 2008 I assisted in the running of the University of Arizona's Math integration workshop.This 5-day workshop strives to get new graduate students up to speed on background material, builds a sense of community, and introduces the new students to senior students and faculty. As a senior graduate student I helped guide the new students through short problem sets and projects which they then presented to their peers. Project topics ranged from Picard’s little theorem to construction of the p-adic numbers.