Projects per year
Personal profile
Personal profile
Chi-Kwong Fok is an Assistant Professor in Pure Mathematics at Xian Jiaotong-Liverpool University. Prior to joining XJTLU, he was an assistant professor of practice at New York University Shanghai, a lecturer in mathematics at the University of Auckland, a research associate at the University of Adelaide, and a postdoctoral research fellow in the National Center for Theoretical Sciences in Taiwan. Dr Foks research involves studying spaces with physical implications and desirable symmetries using machinery from algebraic topology and K-theory.
Research interests
Algebraic topology
K-theory
Lie groups
Mathematical physics
Experience
Assistant Professor in Pure Mathematics, Xian Jiaotong-Liverpool University, 2023-present
Instructor, Vancouver Island University, January-May, 2023
Assistant Professor of Practice in Mathematics, New York University Shanghai, 2020-2022
Lecturer in Mathematics, the University of Auckland, April-December, 2019
ARC Research Associate, Institute for Geometry and its Applications, the University of Adelaide, 2017-2019
Adjunct Assistant Professor, National Tsinghua University, February-July, 2016
Postdoctoral research fellow, National Center for Theoretical Sciences, National Taiwan University, 2014-2017
Teaching
SURF 2024 (Lie groups, representation theory and symmetric polynomials)
MTH118 Analysis II
MTH117 Analysis I
MTH301 Final Year Project (introductory Lie theory)
Multivariable Calculus/Calculus, NYU Shanghai
Differential Geometry, NYU Shanghai
Final Year Project-Schubert calculus, NYU Shanghai
Independent Study-Differential forms and deRham cohomology, NYU Shanghai
Complex Analysis (graduate level), University of Auckland
Real and Complex Calculus, University of Auckland
Related documents
Education/Academic qualification
PhD, Cornell University, 2014
Person Types
- Staff
Fingerprint
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Collaborations and top research areas from the last five years
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Spaces with symmetry through the K-theoretic lens
1/07/24 → 30/06/27
Project: Internal Research Project
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Spaces with symmetry through the K-theoretic lens
1/07/24 → 30/06/27
Project: Internal Research Project
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SRG2324-06: Spaces with symmetry through the K-theoretic lens
1/11/23 → 30/09/24
Project: Internal Research Project
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Adams operations on the twisted K-theory of compact Lie groups
Fok, C. K., Jun 2024, In: Journal of Homotopy and Related Structures. 19, 2, p. 99-120 22 p.Research output: Contribution to journal › Article › peer-review
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A stroll in equivariant K-theory
Fok, C-K., 2024, (Accepted/In press) Group actions and equivariant cohomology. The American Mathematical Society, (Contemporary Mathematics).Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review
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Cohomology and K-theory rings of the space of commuting elements in SU(2)
Fok, C-K., 2024, (Accepted/In press) In: Homology, Homotopy and Applications.Research output: Contribution to journal › Article › peer-review
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The Ring Structure of Twisted Equivariant KK-Theory for Noncompact Lie Groups
Fok, C-K. & Mathai, V., 2021, In: Communications in Mathematical Physics. 385, p. 633 666 p.Research output: Contribution to journal › Article › peer-review
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Equivariant formality in K-theory
Fok, C-K., 2019, In: New York Journal of Mathematics. 25, p. 315 327 p.Research output: Contribution to journal › Article › peer-review
Open Access3 Citations (Scopus)
Activities
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zbMath (Publisher)
Chi-Kwong Fok (Reviewer)
22 Sept 2024Activity: Peer-review and editorial work of publications › Publication Peer-review
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Focus Program on Toric Topology, Geometry and Polyhedral Products
Chi-Kwong Fok (Participant)
23 Jul 2024 → 23 Aug 2024Activity: Participating in or organising an event › Participating in an event e.g. a conference, workshop, …
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Visualization of Lie groups through representation theory and symmetric polynomials
Chi-Kwong Fok (Supervisor)
Jun 2024 → Aug 2024Activity: Supervision › Completed SURF Project
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Adams operations on compact Lie groups
Chi-Kwong Fok (Speaker)
12 Apr 2024Activity: Talk or presentation › Invited talk
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The 25th East China Topology Conference
Chi-Kwong Fok (Participant)
16 Dec 2023Activity: Participating in or organising an event › Participating in an event e.g. a conference, workshop, …