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Mathematics Institute

Gavin Brown

 

Gavin Brown

Professor of Mathematics

Office: D2.07
Phone: +44 (0)24 76523595
Email: G dot Brown at warwick dot ac dot uk

Homepage: homepages.warwick.ac.uk/staff/G.Brown


Teaching Responsibilities: 

Term 2: MA150 Algebra 2Link opens in a new window. Previous lecture notes are linked hereLink opens in a new window, in case you'd like to look ahead. (The notes may seem long, but they review a lot of things you already know, and the lectures will focus on the new ideas. You probably know a lot of Part I. Part II is the main new theory. Part III works through eigenvectors, which you may already have some feeling for.)

Research Interests: Birational classification in algebraic geometry, including computer-assisted constructions and databases.

Some recent publications:

  1. Local normal forms of noncommutative functions, with M. Wemyss, 45pp. (arxiv hereLink opens in a new window)
  2. Derived deformation theory of crepant curves, with M. Wemyss.
    Journal of Topology (2024) 42pp. (DOI:10.1112/topo.12359Link opens in a new window; arXiv: 2310.06133Link opens in a new window)

  3. Kawamata boundedness for Fano threefolds and the Graded Ring Database, with A.M. Kasprzyk, 23pp. (Available at arXiv:2201.07178)

  4. Gorenstein Formats, Canonical and Calabi–Yau Threefolds, with Alexander Kasprzyk and Lei Zhu.
    Exp. Math. 31 (2022) 146-164. (arXiv:1409.4644Link opens in a new window)
  5. 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]
  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
  7. Hodge numbers and deformations of Fano 3-folds, with Enrico Fatighenti.

    Documenta Math. 25 (2020) 267-308. (arXiv:1707.00653Link opens in a new window)

  8. Gopakumar–Vafa invariants do not determine flops, with Michael Wemyss,
    Commun. Math. Phys. 361 (2018) 143–154. (arXiv: 1707.01150)Link opens in a new window

  9. 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.

  10. Polarized Calabi–Yau 3-folds in codimension 4, with Konstantinos Georgiadis,
    Mathematische Nachrichten 290:5–6 (2017), 710–725.

  11. Diptych varieties. II, Apolar varieties, with Miles Reid,
    Higher Dimensional Algebraic Geometry, Adv. Stud. in Pure Math. 74 (2017), 41–72.

  12. Four-dimensional projective orbifold hypersurfaces, with A. Kasprzyk,
    Experimental Mathematics 25:2 (2016), 176–193.

  13. Diptych varieties. I, with Miles Reid,
    Proc. London Math. Soc (3) 107 (2013), 1353–1394.