The Team

Iain Gordon.

I am interested in Lie theoretic representation theory and its connections with combinatorics, geometry and noncommutative things. You can find my papers on the arXiv, Google Scholar, MathSciNet, or my homepage. Not everything is on the arXiv.

Arend Bayer

I have been working on questions in algebraic geometry motivated by string theory and mirror symmetry; for a while that meant Gromov-Witten theory, in the last few years mostly derived categories and stability conditions. Recently that has led me to very classical questions in algebraic geometry, via wall-crossing and birational geometry of moduli spaces. Google scholar ArXiv

Agata Smoktunowicz

I am interested in noncommutative algebra. You can see my publications on MathSciNet.

Michael Wemyss

My main research interests are in algebraic geometry and its interactions, principally between noncommutative and homological algebra, resolutions of singularities, and the minimal model program. In the process of doing this, I have research interests in all related structures, including: deformation theory, derived categories, stability conditions, associated commutative and homological structures and their representation theory, curve invariants, McKay correspondence, Cohen--Macaulay modules, finite dimensional algebras and cluster-tilting theory. My papers can be found on my webpage, arXiv, or Google Scholar.

Tom Bridgeland

I am a mathematician working at the University of Sheffield.

Dougal Davis

My research is in algebraic geometry and representation theory. I am particularly interested in moduli of principal bundles on elliptic curves, and their relations to objects of classical algebraic geometry, such as del Pezzo surfaces and certain resolutions of singularities, and to more algebraic gadgets like elliptic quantum groups.

Qingyuan Jiang

My research area is algebraic geometry, especially on derived category of coherent sheaves on algebraic varieties. More concretely, I work on homological projective duality (HPD), Calabi-Yau and hyperkahler categories, and the relations between derived categories and birational geometry. Within the programme grant, I am leading a work package on K-equivalence/D-equivalence and its connections to Chow theory, in particular in the framework of quot schemes associated to degeneracy loci.

Wahei Hara

I'm a Research Associate, working in algebraic geometry. I am currently interested in the derived category of algebraic varieties, in particular the notion of noncommutative crepant resolutions. I am also interested in birational geometry of higher dimensional varieties, vector bundles and representation theory.