Alex Fok's Homepage

Chi-Kwong Fok (aka Alex Fok)

PhD Candidate in Mathematics
105 Malott Hall
Cornell University
Ithaca, NY 14853
E-mail: ckfok@math.cornell.edu
Fall 2013 office hours: W 5:15-6:15pm, R 3:00-4:00pm, MLT 218, or by appointment.

Advisor: Prof. Reyer Sjamaar

Research

Teaching
In Fall 2013 I am an instructor for MATH 1120 Calculus II. For my past teaching experience, click here

Curriculum Vitae

Paper

The Real K-theory of compact Lie groups, submitted.

Notes and Slides

On the equivariant K-theory of compact simply-connected Lie groups
In this note we present an alternative proof of Brylinski-Zhang's result on the equivariant K-theory of compact Lie group, in the special case where the Lie group is simply-connected. This proof hinges on a computation of an equivariant index, which is a slight modification of the arguments in Atiyah's paper on the ordinary K-theory of compact Lie groups.
Examples of Genus 5 Curves
A very brief note on examples of genus 5 complex algebraic curves, classified by degree and ambient projective space. This originated from a project I did in the course on algebraic curves and surfaces taught by Prof. Michael Stillman.
Cohomology and K-theory of Compact Lie Groups
Still a draft with some details missing. Read at your own risk.
An Invitation to Geometric Quantization
A talk I gave in Olivetti Club, a graduate student colloquium in the Math Department of Cornell University
Gromov-Witten Invariant of Grassmannians
A note written for my presentation in Berstein Seminar in 2009 Fall on quantum Schubert Calculus, following the paper Gromov-Witten Invariants on Grassmannians by Buch, Kresch and Tamvakis
Cohomology and K-theory of Symplectic Reductions
Horn's Problem

About me

I am nerdier than 81% of all people. Are you a nerd? Click here to take the Nerd Test, get geeky images and jokes, and write on the nerd forum!

If I were a Springer-Verlag Graduate Text in Mathematics, I would be William S. Massey's A Basic Course in Algebraic Topology.

I am intended to serve as a textbook for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unecessary definitions, terminology, and technical machinery. Wherever possible, the geometric motivation behind the various concepts is emphasized.

Which Springer GTM would you be? The Springer GTM Test