Professor of Mathematics
Teaching Responsibilities 2020/21:
Term 1: MA3D5 Galois Theory
Term 2: MA150 Algebra 1
Research Interests: Birational classification in algebraic geometry, including computer-assisted constructions and databases.
Some recent publications:
Local normal forms of noncommutative functions, with M. Wemyss, 45pp. (Available at arXiv:2111.05900)
Kawamata boundedness for Fano threefolds and the Graded Ring Database, with A.M. Kasprzyk, 23pp. (Available at arXiv:2201.07178)
Recent Developments in Algebraic Geometry -- to Miles Reid for his 70th birthday. Edited with Hamid Abban, Alexander Kasprzyk, Shigefumi Mori.
London Math. Soc. Lecture Note Series 478. CUP 2022, x+356pp. [ISBN: 978-1-009-18085-6]
- Tutorial on Tom and Jerry: the two smoothings of the anticanonical cone over P(1,2,3), with Miles Reid and Jan Stevens.
EMS Surv. Math. Sci 8 (2021) 25-38
Hodge numbers and deformations of Fano 3-folds, with Enrico Fatighenti.
Documenta Math. 25 (2020) 267-308. (arXiv:1707.00653)
Gorenstein Formats, Canonical and Calabi–Yau Threefolds, with Alexander Kasprzyk and Lei Zhu.
Exp. Math. 31 (2022) 146-164. (arXiv:1409.4644)
Gopakumar–Vafa invariants do not determine flops, with Michael Wemyss,
Commun. Math. Phys. 361 (2018) 143–154.
Fano 3-folds in P2 × P2 format, Tom and Jerry, with A.M. Kasprzyk and M.I. Qureshi,
Eur. J. Math. 4 (Edge volume) (2018) 51–72.
Polarized Calabi–Yau 3-folds in codimension 4, with Konstantinos Georgiadis,
Mathematische Nachrichten 290:5–6 (2017), 710–725.
Diptych varieties. II, Apolar varieties, with Miles Reid,
Higher Dimensional Algebraic Geometry, Adv. Stud. in Pure Math. 74 (2017), 41–72.
Four-dimensional projective orbifold hypersurfaces, with A. Kasprzyk,
Experimental Mathematics 25:2 (2016), 176–193.
Diptych varieties. I, with Miles Reid,
Proc. London Math. Soc (3) 107 (2013), 1353–1394.