Chi-Kwong Fok (aka Alex Fok)

Advisor: Prof. Reyer Sjamaar

Research

Teaching
In fall 2011 I taught MATH1120 Calculus II. In spring 2012 I was TA for MATH4500 Matrix Groups. In fall 2012 I am TA for MATH 3210 Manifolds and Differential Forms and 6520 Differentiable Manifolds I. For my past teaching experience, click here

Curriculum Vitae

Notes and Slides

• 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

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