Bryan Wang Peng Jun

Abstract

This page started life as a place for me to share notes and other materials with the students I was teaching. Over time, as several people have asked me what I was up to as an undergraduate, I've converted this page into a place to host the writings I've made and notes for talks I've given, both for my own quick reference and hopefully for the benefit and interest of others as well.

About me

“Too few people recognize that the high technology so celebrated today is essentially a mathematical technology.” — as quoted by Edsger W. Dijkstra

I'm a first-year graduate student in mathematics at Harvard University. Before that, I was an undergraduate in mathematics (with a second major in computer science) at the National University of Singapore, where I completed my honours thesis under the supervision of Wee Teck Gan.
My research experiences have broadly centred around what I like to call “quantum mathematics”, which includes aspects of representation theory and harmonic analysis, geometry and topology, quantum algebra, and analogous ideas in number theory. I am also interested in quantum computation. More generally, I enjoy learning about mathematics with connections to various parts of theoretical physics.
Some ‘buzzwords’ which characterize my undergraduate work include: electric-magnetic duality, quantization, topological quantum field theories, topological quantum computation, quantum invariants.

You can reach me by email here.

Preprints

Talks and notes

These are some of the notes (only for talks I've given) and writings I've made throughout my undergraduate career, arranged roughly by topic. (Those notes that are handwritten were made primarily for my own reference, but I've included them here as they are fairly complete content-wise. One of the items on my to-do list is to type these notes up neatly in LaTeX.)

Teaching

I have also served as teaching assistant for CS3244 Machine Learning, but not taking any tutorial groups.

Places

Singapore: Singapore
Toronto: Toronto
Niagara: Niagara
Pittsburgh: Pittsburgh
New York: New York
Rio: Rio
Hong Kong: Hong Kong

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