Talks and Writeups
Things I've written

"On the equivariant KTheory of PSU(2)". Computes the equivariant KTheory of PSU(2) acting on itself by conjugation.

Expository article "Connections of KTheory to Geometry and Topology". Discusses the Hopf invariant one problem, vector fields on spheres, Wall's finiteness obstruction, Whitehead torsion, Ktheory of schemes, pseudoisotopies and higher Ktheory, and equivariant Ktheory.

My M.Sc. essay "Riemann Surfaces & Mumford's Conjecture" describes all ingredients in the proof of Mumford's conjecture along the lines of Galatius et al. (2009).

Lecture Notes from Prof. Reichstein's course on "Geometric Invariant Theory" during Spring 2011 at UBC.

My B.Sc. Thesis "Introduction to Group Cohomology" presents an introduction to Group Cohomology via derived functors and explains several applications such as the proof of Hilbert's Theorem 90.
Talks I've given
 "The Kervaire Invariant", MSRI Summer School in Algebraic Topology, June 2013.
 "Derived Categories", Jim Bryan's Algebraic Geometry Course. UBC, April 2013.
 "Topological Data Analysis", UBC Undergraduate Math Colloquium, September 2012.
 "Whitehead Torsion", UBC Student Topology Seminar, September 2012.
 "Vector Fields on Spheres", UBC Student Topology Seminar, May 2012.
 "Applications of KTheory: Solution of the Hopf Invariant One Problem", UBC Student Topology Seminar, April 2012.
 "Exotic Spheres", UBC Graduate Student Colloquium, March 2012.
 "Characteristic Classes and the Thom Isomorphism", UBC Student Topology Seminar, March 2012.
 "Mumford's Conjecture", 8th PIMS Young Researchers Conference. UBC, May 2011.
 "Topological Field Theories", Jim Bryan's Algebraic Geometry Reading Course. UBC, Dec 2010.
 "Sheaves of categories and the proof of the main theorem", Working Seminar on Homotopy Theory of Moduli Spaces. UBC, Nov 2010.
 "A sheaf model for Ω^{∞}MTO(d)", Working Seminar on Homotopy Theory of Moduli Spaces. UBC, Nov 2010.
 "Generalized Moduli Problems and Elliptic Cohomology", Jim Bryan's Algebraic Geometry Reading Course. UBC, Nov 2010.
 "Elliptic Cohomology", Jim Bryan's Algebraic Geometry Reading Course. UBC, Oct 2010.
 "Teichmüller Theory and Moduli Spaces", Working Seminar on Homotopy Theory of Moduli Spaces. UBC, Sep 2010.
 "PontryaginThom Theory I", Working Seminar on Homotopy Theory of Moduli Spaces. UBC, Sep 2010.
 "PontryaginThom Theory II", Working Seminar on Homotopy Theory of Moduli Spaces. UBC, Sep 2010.
 "Geodesics and Maximal Tori", Algebraic Groups Reading Course. UBC, Feb 2010.
 "Introduction to Group Cohomology", Presentation of Bachelor Thesis. Monash University, Nov 2008.