Professor of Pure Mathematics
+44 1865 273570
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Euler Characteristics of Hilbert Schemes of Points On Surfaces with Simple Singularities
INTERNATIONAL MATHEMATICS RESEARCH NOTICES issue 13 volume 2017 page 4152-4159 (July 2017) Full text available
Motivic Donaldson-Thomas invariants of some quantized threefolds
JOURNAL OF NONCOMMUTATIVE GEOMETRY issue 3 volume 11 page 1115-1139 (2017) Full text available
Purity for graded potentials and quantum cluster positivity
COMPOSITIO MATHEMATICA issue 10 volume 151 page 1913-1944 (October 2015) Full text available
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.