Dr Yemon Choi
Senior Lecturer in Pure MathematicsResearch Interests
See for my papers.
The keyword version
Banach and operator algebras. Noncommutative harmonic analysis. Categorical and homological perspectives on functional analysis.
The longer version
I am interested in a range of topics and problems on the interface between algebra and functional analysis. This tends to be driven by particular families of examples, but my preference is for finding general frameworks that unify common features of these examples, once one has investigated individual examples in depth.
In recent years I have worked intensively on various aspects of the Fourier algebras of locally compact groups: studying these objects involves a blend of (non-commutative) harmonic analysis and representation theory. Many of the developments over the last 20 years or so use the tools, or are guided by the philosophy, of the theory of operator spaces and completely bounded maps -- these may be thought of as enriched versions of Banach spaces and linear maps between them, where one allows matricial coefficients and not just scalar ones.
I am also interested in algebras of convolution operators arising from the canonical representation(s) of a group G on the Banach space Lp(G). When p=2 there is a rich theory available, from the world of C*-algebras and von Neumann algebras; for other values of p many basic structural questions remain unresolved, even for very explicit examples such as G=SLn(R) or SLn(Z).
Web Links
Professional Role
Departmental Director of Studies for students on joint degree schemes (non-LUMS)
Departmental contact/representative for Natural Sciences degree programme
PhD Supervisions Completed
Mahmood Alaghmandan, 2013. (Supervised at the University of Saskatchewan, Canada, joint with E. Samei)
Bence Horvath, 2019. (Joint with N. J. Laustsen)
Christopher Menez, 2019.
M. Eugenia Celorrio, 2023. (Joint with H. G. Dales)
Career Details
Aug. 2022 - present: Senior Lecturer, 快播视频, United Kingdom
Jan. 2014 - Jul. 2022: Lecturer, 快播视频, United Kingdom
Aug. 2010 - Jan. 2014: Assistant Professor (tenure-track), University of Saskatchewan, Canada
Aug. 2008 - Jul. 2010: Postdoctoral researcher, Universite Laval, Canada
Feb. 2007 - Jul. 2008: Postdoctoral fellow, University of Manitoba, Canada
Sept. 2002 - Jun. 2006: PhD student, University of Newcastle upon Tyne, United Kingdom
Sept. 2001 - Jun, 2002: Editorial assistant, National Extension College, United Kingdom.
Qualifications
B.A. in Mathematics (2000, Cambridge).
CASM (2001, Cambridge).
PhD in Pure Mathematics (2006, Newcastle-upon-Tyne)
PhDs Examined
External examiner
S. Trotter (Leeds, PhD, 2016)
Y. Ji (Newcastle, PhD, 2018)
T. Potter (Dalhousie, PhD, 2025)
Internal examiner
E. Kastis (PhD, 快播视频, 2017)
T. Gaudio (PhD, 快播视频, 2021)
M. Arnott (PhD, 快播视频, 2023)
J. Smith (PhD, 快播视频, 2025)
PhD Supervision Interests
Availability
Subject to my existing commitments: I am always keen to hear from applicants with a strong background in functional analysis. Some previous exposure to representation theory of groups or the general theory of (matrix) Lie groups would be desirable, but is not essential.
Current ideas for PhD projectsHere are three possible areas in which I am willing to supervise: each of these is not a specific PhD project, but a setting in which there are various possible research problems that a student could work on. If you would like to know more, then please feel free to get in touch.
* Ulam stability for Banach and operator algebras* Fourier algebras of locally compact groups* Non-selfadjoint subalgebras of Type I C*-algebrasWarning notes.Themes 2 and 3 will require a student to start by learning the basic theory of C*-algebras, before getting on to the actual PhD project(s). C*-algebra theory is also valuable context for Theme 1, but in that case there are "sub-projects" where one can get started on research without pre-existing C*-background.
Selected Publications
Choi, Y., Daws, M., Blower, G. 6/12/2023
Proceedings
Choi, Y. 30/11/2023 In: International Mathematics Research Notices. 2023, 22, p. 19390–19430. 41 p.
Journal article
Choi, Y. 16/07/2021 In: Advances in Mathematics. 385, 28 p.
Journal article
Choi, Y., Ghandehari, M. 22/05/2021 In: Complex Analysis and Operator Theory. 15, 4, 32 p.
Journal article
Choi, Y., Ghandehari, M. 1/06/2014 In: Journal of Functional Analysis. 266, 11, p. 6501-6530. 30 p.
Journal article
Choi, Y., Farah, I., Ozawa, N. 10/03/2014 In: Forum of Mathematics, Sigma. 2, 12 p.
Journal article
Choi, Y. 05/2013 In: Journal für die reine und angewandte Mathematik (Crelle's Journal). 678, p. 201-222. 22 p.
Journal article
All Publications
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04/01/2026 → 11/01/2026
Research
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10/04/2025 → 17/04/2025
Research
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03/03/2024 → 10/03/2024
Research
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17/10/2022 → 28/10/2022
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01/08/2018 → 31/10/2018
Research
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25/09/2017 → 05/10/2017
Research
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01/10/2014 → 28/10/2014
Research
Types of Business and Community - Hosting of external, non-academic visitor
Types of Business and Community - Hosting of external, non-academic visitor
Types of Business and Community - Hosting of external, non-academic visitor
Types of Business and Community - Hosting of external, non-academic visitor
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- Algebra and Geometry
- Analysis