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My research interests are centred around algebraic and geometric topology, including:
- configuration spaces of various kinds,
- moduli spaces of manifolds,
- monopole moduli spaces,
- surface braid groups, loop braid groups, mapping class groups (their representation theory, lower central series, ...),
- polynomial functors,
- group-completions of topological monoids,
- multi-crossing numbers of knots and links,
- "big" mapping class groups (mapping class groups of infinite-type surfaces),
- connections of any of the above to other parts of mathematics.
A summary of my previous work is here (last updated February 2024).
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Email addresses:
Addresses:
- School of Mathematics, University of Leeds, Leeds, LS2 9JT, UK
- IMAR, 21 Calea Griviței, 010702 Bucharest, Romania
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Last update: 14 November 2024
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