Welcome
Chi-Kwong Fok (aka Alex Fok)
Vancouver Island University
E-mail: Alex dot Fok at viu dot ca
Research Statement
Brief version. Detailed version available upon request.
Teaching
In Fall 2013 I was an instructor for MATH 1120 Calculus II. In Spring 2016 I was an instructor for MATH 1020 Calculus II (微積分二). Letter of compliment on my teaching of this course (Chinese version) (English version).
For my past teaching experience, click here
Curriculum Vitae available upon request
Research papers
Symmetry, Integrability and Geometry: Methods and Applications, Vol. 10 (2014), 022, 26 pages.
Topology and its Applications, Vol. 197, pp. 50-59, 1 January 2016.
Journal of Geometric Mechanics, Vol. 8, No. 2, pp. 179-197, June 2016.
Proceedings of the American Mathematical Society, Vol. 145, No. 7, pp. 2799-2813, July 2017.
Journal of Geometry and Physics, Vol. 124, pp. 325-349, January 2018.
Equivariant formality of homogeneous spaces, joint with Jeffrey D. Carlson,
Journal of the London Mathematical Society (2), Vol. 97, pp. 470-494, 2018.
New York Journal of Mathematics, Vol. 25, pp. 315-327, 2019.
The ring structure of twisted equivariant KK-theory for noncompact Lie groups, joint with Mathai Varghese,
Communications in Mathematical Physics, Vol. 385, pp. 633-666, 2021 (slides).
J. Homotopy Relat. Struct. 19, 99–120 (2024).
Submitted. Available at https://arxiv.org/abs/2111.13465
Submitted. Available at https://arxiv.org/abs/2211.13850
Extended Verlinde algebras for compact Lie groups with nontrivial outer automorphisms, joint with David Baraglia and Mathai Varghese, in preparation
Conference proceedings and expository papers
A stroll in equivariant K-theory, to appear in Contemporary Mathematics
Miscellaneous
I am the author of this integer sequence.
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
