Professor of Pure Mathematics
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Motivic Donaldson–Thomas invariants of some quantized threefolds
Journal of Noncommutative Geometry issue 3 volume 11 page 1115–1139- (26 September 2017)
Euler characteristics of Hilbert schemes of points on surfaces with simple singularities
International Mathematics Research Notices issue 13 volume 2017 page 4152-4159 (1 July 2016)
Purity for graded potentials and quantum cluster positivity
Compositio Mathematica issue 10 volume 151 page 1913-1944 (1 January 2015)
Algebraic geometry, especially invariants and moduli of sheaves on Calabi-Yau varieties. Variants of Donaldson-Thomas theory. Geometry of string theory, especially mirror symmetry.
Prizes, awards, and scholarships:
Royal Society Leverhulme Trust Senior Research Fellowship, 2013
Humboldt Research Fellowship for Experienced Researchers, 2012
Major / recent publications:
(with Ádám Gyenge and András Némethi) Euler characteristics of Hilbert schemes of points on simple surface singularities, European Journal of Mathematics 4 (2018), 439-524.
(with Ádám Gyenge and András Némethi) Euler characteristics of Hilbert schemes of points on surfaces with simple singularities, International Mathematics Research Notices, Volume 2017, 4152-4159.
(with Alberto Cazzaniga, Andrew Morrison and Brent Pym) Motivic Donaldson--Thomas invariants of some quantized threefolds, Journal of Noncommutative Geometry 11 (2017) 1115-1139.
Cohomological Donaldson--Thomas theory, Proceedings of String-Math 2014, AMS, 2016.
(with Ben Davison, Davesh Maulik and Joerg Schuermann) Purity for graded potentials and quantum cluster positivity, Compositio Mathematica 151 (2015) 1913-1944.
(with Chris Brav, Vittoria Bussi, Delphine Dupont and Dominic Joyce) Symmetries and stabilization for sheaves of vanishing cycles, J. Singularities 11 (2015) 85-151.