Status:
Professor of Pure Mathematics
Personal website:
+44 1865 273570
ORCID iD:
https://orcid.org/0000-0002-0092-4719
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted Publications:
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
Research interests:
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.