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Richard Thomas

Professor Richard Thomas

Professor Richard Thomas

Research Fellow

Interests and expertise (Subject groups)

Grants awarded

Applications of mirror symmetry and derived categories in topology

Scheme: Wolfson Research Merit Awards

Organisation: Imperial College London

Dates: Aug 2010-Jul 2015

Value: £100,000

Summary: This year I mainly studied "derived categories of coherent sheaves". These are abstract algebraic gadgets that encode a lot of information about geometry. However they do not contain all information, so two different geometries can give rise to the same derived category. Examples of this phenomenon are still rather rare, and we employed a general method (Kuznetsov's "homological projective duality") to produce new examples. This work is a long way from applications in the real world! But in the unreal world of "string theory" in theoretical physics, they give examples of "the category of boundary conditions in B-twisted topological string theory".

Scheme: University Research Fellowship

Organisation: Imperial College London

Dates: Oct 2000-Sep 2008

Value: £276,798.77

Summary: This project summary is not available for publication.

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