Personal profile
Research interests
My main area of research is in group theory. I am interested in simple groups, both finite and algebraic, with a particular focus on subgroup structure, conjugacy classes and representation theory.
I am also interested in permutation groups and related combinatorics, and in the application of probabilistic and computational methods.
I am happy to supervise PhD projects in all of these areas - please see my personal webpages
https://seis.bristol.ac.uk/~tb13602/index.html
for more details about my research interests and recent papers. If you would like to know more about my research, then please feel free to contact me by email.
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Collaborations and top research areas from the last five years
Research output
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On solvable factors of almost simple groups
Burness, T. C. & Li, C. H., 22 Jan 2021, In: Advances in Mathematics. 377, 36 p., 107499.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile10 Citations (Scopus)107 Downloads (Pure) -
The classification of extremely primitive groups
Burness, T. C. & Thomas, A. R., 18 Feb 2021, In: International Mathematics Research Notices. rnaa369.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile13 Citations (Scopus)113 Downloads (Pure) -
Topological generation of exceptional algebraic groups
Burness, T. C., Gerhardt, S. & Guralnick, R., 5 Aug 2020, In: Advances in Mathematics. 369, 50 p., 107177.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile7 Citations (Scopus)82 Downloads (Pure)
Activities
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Donna Testerman, EPFL
Burness, T. C. (Visitor)
23 Mar 2015 → 28 Mar 2015Activity: Visiting an external institution types › Visiting an external academic institution
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Donna Testerman, EPFL
Burness, T. C. (Visitor)
4 Jan 2015 → 11 Jan 2015Activity: Visiting an external institution types › Visiting an external academic institution
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University of Auckland
Burness, T. (Visiting researcher)
2015Activity: Visiting an external institution types › Visiting an external academic institution