Current Teaching / TutoringI am currently (Spring 2017) on a fellowship and not teaching.
I am also a private tutor and happy to help with most undergraduate math courses. Past TeachingMy past teaching experiences include:
Fall 2011: TA for Math 1031 at University of Minnesota Spring 2012: TA for Math 1031 at University of Minnesota Fall 2012: TA for Math 1031 at University of Minnesota Spring 2013: TA for Math 1031 at University of Minnesota Summer 2014: TA for Math 4A at University of California, Santa Barbara. Fall 2014: TA for Math 4A at University of California, Santa Barbara. Winter 2015: TA for Math 3B at University of California, Santa Barbara. Spring 2015: TA for Math 3B at University of California, Santa Barbara. Summer 2015: Instructor for Math 3B, University of California Santa Barbara. Fall 2015: TA for Math 3B at University of California, Santa Barbara. Winter 2016: TA for Math 3B at University of California, Santa Barbara. Summer 2016: Instructor for Math 3B, University of California, Santa Barbara. Fall 2016: TA For Math 4A at University of California, Santa Barbara. Winter 2016: TA For Math 108A, University of California, Santa Barbara. Expository WritingsExperience tutoring various levels of mathematics over the years has led me to think a lot about the different ways new ideas can be presented. As I myself am rather geometrically inclined, I've collected some of the more interesting geometric perspectives that I have come across or thought up below; the topics covered range from grade school through undergraduate mathematics.


A very visual argument for the pythagorean theorem, one you can replicate yourself with a scissors and some paper!



COMING SOON
What does it mean to raise a number to an imaginary power? No longer can we just extrapolate from the idea of "repeated multiplication"  we need other means to decide what this means. Here we look at a couple of justifications for Euler's formula: $e^{ix}=\cos(x)+i\sin(x)$. 

UNDER CONSTRUCTION
The gradient from multivariable calculus is a generalization of the derivative for functions from $\mathbb{R}^n\to\mathbb{R}. And along with this notion of derivative there is a corresponding version of the fundamental theorem of calculus. Here we discuss one way to concretely understand the gradient through the analogy of slopes on a mountain range. 
UNDER CONSTRUCTION
Divergence and curl are two generalizations of the idea of derivative to higher dimensions: but instead of measuring changes of functions they measure changes in vector fields. The curl of a vector field measures the "infintesimal circulation" and the divergence the "infintesimal expansion": these ideas will be made precise here. 
COMING SOON
The integral theorems of Stokes and Gauss (the latter also known as the Divergence theorem) are two further analogs of the fundamental theorem for the two new types of derivatives defined above. Here we shall give heuristic arguments for their validity. 
Fourier series (and the associated Fourier transform) are extremely powerful tools for solving problems in mathematics and the sciences  here we discuss the linear algebra behind the scary looking formulas involved.

Convolution is a process by which two functions are combined by integrating against each other in an (seemingly) complicated way. This operation is actually rather natural however  here we will talk through heuristic arguments that lead us to construct this operation for ourselves.

COMING SOON
Stereographic projection allows us to conformally map a sphere (well, except for one point) onto a Euclidean space of the same dimension. Here we will derive the formulas in dimension 1, get comfortable in dimension 2, and then use it in dimension 3 to see the sphere in 4dimensional space! 