Research: Past, Present and Future

The Past

During the fall term of 2003, I gave two talks for my Differential Topology class. Please feel free to view my slides and contact me if you'd like to discuss any of the material.

Morse-Bott Theory and some applications [December 1-5, 2003]
Brief Introduction to Psuedo-holomorphic curves and applications [December 8, 2003]

During the summer 2003, I nearly completed a research project in Combinatorics. I was working on deriving exponential functions from reflections across multiple glass panes. Its actually a pretty cool project involving Oscillating Permutations and the Genocchi Numbers. Currently, I am further developing my results.

The Present

Here are my notes from various talks given for the String Theory Research Interaction Team.

Physics Preliminaries: An Introduction [September 8, 2004]
Quantum Field Theory in d = 0: Foundations [September 15, 2004]
Quantum Field Theory in d = 0: Fermions and Supersymmetry [September 29, 2004]
Supersymmetric Quantum Mechanics [February 23, 2005]

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