Teaching

At Morgan, I am currently teaching Math 110: Algebra Functions and Analytic Geometry for Business and Architecture students, and Math 241: Calculus I.

Previously Taught Courses:

At Colby

Spring 2017, MA253: Linear Algebra and MA311: Differential Equations

Fall 2016, MA121: Single Variable Calculus

Spring 2016, MA122: Series and Multivariable Calculus


Fall 2015, MA121: Single Variable Calculus and MA333: Abstract Algebra.

At Queen's

Winter 2015, MTHE 228: Complex Analysis. I ran the course and generated my own materials.

Fall 2014, MATH 311: Elementary Number Theory I ran the course independently and generated my own materials.

Winter 2014, MATH111: Linear Algebra. I ran this course under Peter Taylor, who generated the syllabus and the materials.

Fall 2013, MATH / MTHE 326: Functions of a Complex Variable. I ran this course independently, though much of the course materials were taken from Professor Mike Roth.

At Brown

Summer 2013, Math 0090: Introductory Calculus I as part of Summer@Brown. I ran the course independently.

Fall 2012, Math 0090: Introductory Calculus I under course-head Dan Katz.   Here is my teaching evaluation  via the Critical Review. (This is a pdf print instead of a direct link as the Critical Review is only accessible to Brown Affiliates.)

Fall 2011, Math 0050: Analytic Geometry and Calculus I,  where I ran the course independently.

Spring 2010, Math 0540: Honors Linear Algebra  under Professor Sergei Treil.   Here is my teaching evaluation  via the Critical Review. (Again, this is a pdf print.)

Fall 2009, Math 0100: Introductory Calculus II  under Professor Stephen Lichtenbaum. 

Note: With the exception of presently taught courses, the course pages linked above are now inactive and thus often incomplete.

Previously a TA for:

Spring 2009, Math 0180: Intermediate (Multivariable) Calculus under Professor Hee Oh. 

Fall 2008, Math 0100: Introductory Calculus II under Professor Thomas Goodwillie. 

The Sheridan Center:

I have worked as a teaching consultant for the Harriet W. Sheridan Center For Teaching And Learning  as part of their Certificate IV Program. , which I have completed. I have also completed their Certificate I Program  in 2009.

The Math Resource Center:

The Math Resource Center (MRC)  is a walk-in help center designed for students taking calculus courses at Brown University. The MRC is staffed by 2-3 graduate students and 1-2 undergraduates per night who help students on an individual or small group basis. I was a tutor for the MRC from 2007-2009 and then the MRC coordinator from 2009-2012. The current coordinator is Edward Newkirk. 

Expository Lectures:

-A Brief Introduction to Spectral Objects and Untiling Automorphic Forms. August 2014, Queen's Number Theory Seminar:
An expository exploration of the classical real-analytic Eisenstein series, it's properties, and how it relates to the spectral decomposition of the space of square-integrable automorphic functions. We'll then proceed to discuss the techniques by which the Rankin-Selberg L-function is constructed and then see how to modify this process with Poincaré series to give spectral expansions of shifted sums.

- A Model For Repulsive Zeros. December 2012, Brown Grad Student Seminar:
This lecture is an introduction to how random matrices are conjecturally used to model the distribution of zeros of L-functions. It also outlines the "excised" model proposed by Dueñez, Huynh, Keating, Miller, and Snaith used to capture the repulsion of low-lying zeros of families of twisted L-functions on elliptic curves.

- Linnik's No Finick. April 2012, Brown Grad Student Seminar:
An introduction to the Linnik Problems, how they relate to holomorphic forms and how they can be illuminated by subconvexity estimates.

-Shifted Sums For Subconvexity. September 2011, MIT STAGE Seminar:
An introduction to the Generalized Lindelöf hypothesis and the convexity bound, by means of the classical Riemann Zeta function as an illustrative example.

-Adjective Numbers. March 2011, Brown Grad Student Seminar:
A lecture about the strangely commonplace number descriptors, and how some of these things are interesting from a probabilistic or number theoretic perspective.

-The Only Selberg Conjecture Tom Is Aware Of.  September 2009, Brown Grad Student Seminar:
An introduction to Selberg's eigenvalue conjecture, and how it corresponds to the generalized Ramanujan conjecture by means of a famous paper by Luo, Rudnick and Sarnak.

-Apparently, It Is Hip To Be Square. November 2008, Brown Grad Student Seminar:
An introduction to the methods of analytic number theory, specifically outlining the proof of Dirichlet's Theorem for primes in arithmetic progressions and how a non-square integer n is a square modulo a prime p for "half" the primes.