Professor Michael Wemyss

  • The Chair of Mathematics (Mathematics)

telephone: 0141 330 3314
email: Michael.Wemyss@glasgow.ac.uk

Office 435, Mathematics and Statistics Building, University Place, Glasgow, G12 8QQ

Import to contacts

ORCID iDhttps://orcid.org/0000-0003-4760-7750

Research interests

Algebraic geometry and its interactions, principally between noncommutative and homological algebra, resolutions of singularities, and the minimal model program.  All related structures, including: deformation theory, derived categories, stability conditions, associated commutative and homological structures and their representation theory, curve invariants, McKay correspondence, Cohen--Macaulay modules, finite dimensional algebras and cluster-tilting theory.

Research groups

Publications

Selected publications

Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2018) Flops and clusters in the homological minimal model programme. Inventiones Mathematicae, 211(2), pp. 435-521. (doi: 10.1007/s00222-017-0750-4)

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2014) Maximal modifications and Auslander–Reiten duality for non-isolated singularities. Inventiones Mathematicae, 197(3), pp. 521-586. (doi: 10.1007/s00222-013-0491-y)

Donovan, Will and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2016) Noncommutative deformations and flops. Duke Mathematical Journal, 165(8), pp. 1397-1474. (doi: 10.1215/00127094-3449887)

Hirano, Yuki and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2023) Stability conditions for 3-fold flops. Duke Mathematical Journal, 172(16), pp. 3105-3173. (doi: 10.1215/00127094-2022-0097)

Donovan, Will and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2019) Twists and braids for general 3-fold flops. Journal of the European Mathematical Society, 21(6), pp. 1641-1701. (doi: 10.4171/JEMS/868)

Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2011) The GL(2, C) McKay correspondence. Mathematische Annalen, 350(3), pp. 631-659. (doi: 10.1007/s00208-010-0572-9)

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2013) On the noncommutative Bondal–Orlov conjecture. Journal für die reine und angewandte Mathematik (Crelles Journal), 683, pp. 119-128. (doi: 10.1515/crelle-2012-0001)

Hirano, Yuki and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2018) Faithful actions from hyperplane arrangements. Geometry and Topology, 22(6), pp. 3395-3433. (doi: 10.2140/gt.2018.22.3395)

Donovan, Will and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2019) Contractions and deformations. American Journal of Mathematics, 141(3), pp. 563-592. (doi: 10.1353/ajm.2019.0018)

All publications

List by: Type | Date

Jump to: 2025 | 2024 | 2023 | 2022 | 2020 | 2019 | 2018 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010
Number of items: 31.

2025

Brown, Gavin and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2025) Local normal forms of noncommutative functions. Forum of Mathematics, Pi, (Accepted for Publication)

Donovan, Will and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2025) Stringy Kähler moduli, mutation and monodromy. Journal of Differential Geometry, 129(1), pp. 115-164. (doi: 10.4310/jdg/1736262124)

2024

Brown, Gavin and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2024) Derived deformation theory of crepant curves. Journal of Topology, 17(4), e12359. (doi: 10.1112/topo.12359)

Hara, Wahei and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2024) Spherical objects in dimension two and three. Journal of the European Mathematical Society, (doi: 10.4171/JEMS/1504) (Early Online Publication)

Nabijou, Navid ORCID logoORCID: https://orcid.org/0000-0003-0761-477X and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2024) GV and GW invariants via the enhanced movable cone. Moduli, 1, e8. (doi: 10.1112/mod.2024.4)

2023

Hirano, Yuki and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2023) Stability conditions for 3-fold flops. Duke Mathematical Journal, 172(16), pp. 3105-3173. (doi: 10.1215/00127094-2022-0097)

Smith, Ivan and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2023) Double bubble plumbings and two-curve flops. Selecta Mathematica - New Series, 29(2), 29. (doi: 10.1007/s00029-023-00828-z)

2022

August, Jenny ORCID logoORCID: https://orcid.org/0000-0001-7999-3858 and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2022) Stability conditions for contraction algebras. Forum of Mathematics, Sigma, 10, e73. (doi: 10.1017/fms.2022.65)

2020

Dao, Hailong, Iyama, Osamu, Takahashi, Ryo and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2020) Gorenstein modifications and Q-Gorenstein rings. Journal of Algebraic Geometry, 29(4), pp. 729-751. (doi: 10.1090/jag/760)

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2020) Weighted projective lines and rational surface singularities. Épijournal de Géométrie Algébrique, 3, 13.

2019

Donovan, Will and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2019) Contractions and deformations. American Journal of Mathematics, 141(3), pp. 563-592. (doi: 10.1353/ajm.2019.0018)

Donovan, Will and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2019) Noncommutative enhancements of contractions. Advances in Mathematics, 344, pp. 99-136. (doi: 10.1016/j.aim.2018.11.019)

Donovan, Will and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2019) Twists and braids for general 3-fold flops. Journal of the European Mathematical Society, 21(6), pp. 1641-1701. (doi: 10.4171/JEMS/868)

Dao, Hailong, Iyama, Osamu, Iyengar, Srikanth B., Takahashi, Ryo, Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 and Yoshino, Yuji (2019) Noncommutative resolutions using syzygies. Bulletin of the London Mathematical Society, 51(1), pp. 43-48. (doi: 10.1112/blms.12210)

2018

Hirano, Yuki and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2018) Faithful actions from hyperplane arrangements. Geometry and Topology, 22(6), pp. 3395-3433. (doi: 10.2140/gt.2018.22.3395)

Brown, Gavin and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2018) Gopakumar--Vafa invariants do not determine flops. Communications in Mathematical Physics, 361(1), pp. 143-154. (doi: 10.1007/s00220-017-3038-z)

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2018) Reduction of triangulated categories and Maximal Modification Algebras for cA_n singularities. Journal für die Reine und Angewandte Mathematik (Crelles Journal), 2018(738), pp. 149-202. (doi: 10.1515/crelle-2015-0031)

Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2018) Flops and clusters in the homological minimal model programme. Inventiones Mathematicae, 211(2), pp. 435-521. (doi: 10.1007/s00222-017-0750-4)

2016

Bellamy, Gwyn ORCID logoORCID: https://orcid.org/0000-0002-7045-4177, Rogalski, Daniel, Schedler, Travis, Stafford, J. Toby and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2016) Noncommutative Algebraic Geometry. Series: Mathematical Sciences Research Institute publications, 64. Cambridge University Press. ISBN 9781107129542

Donovan, Will and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2016) Noncommutative deformations and flops. Duke Mathematical Journal, 165(8), pp. 1397-1474. (doi: 10.1215/00127094-3449887)

2015

Kalck, Martin, Iyama, Osamu, Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 and Yang, Dong (2015) Frobenius categories, Gorenstein algebras and rational surface singularities. Compositio Mathematica, 151(3), pp. 502-534. (doi: 10.1112/S0010437X14007647)

2014

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2014) Maximal modifications and Auslander–Reiten duality for non-isolated singularities. Inventiones Mathematicae, 197(3), pp. 521-586. (doi: 10.1007/s00222-013-0491-y)

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2014) Singular derived categories of -factorial terminalizations and maximal modification algebras. Advances in Mathematics, 261, pp. 85-121. (doi: 10.1016/j.aim.2014.04.001)

2013

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2013) On the noncommutative Bondal–Orlov conjecture. Journal für die reine und angewandte Mathematik (Crelles Journal), 683, pp. 119-128. (doi: 10.1515/crelle-2012-0001)

Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2013) Reconstruction algebras of type D (II). Hokkaido Mathematical Journal, 42(2), pp. 293-329. (doi: 10.14492/hokmj/1372859589)

2012

Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2012) Reconstruction algebras of type D (I). Journal of Algebra, 356(1), pp. 158-194. (doi: 10.1016/j.jalgebra.2012.01.019)

2011

Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2011) The GL(2, C) McKay correspondence. Mathematische Annalen, 350(3), pp. 631-659. (doi: 10.1007/s00208-010-0572-9)

Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2011) Reconstruction algebras of type A. Transactions of the American Mathematical Society, 363(6), pp. 3101-3132. (doi: 10.1090/S0002-9947-2011-05130-5)

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2011) A new triangulated category for rational surface singularities. Illinois Journal of Mathematics, 55(1), pp. 325-341.

2010

Bocklandt, Raf, Schedler, Travis and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2010) Superpotentials and higher order derivations. Journal of Pure and Applied Algebra, 214(9), pp. 1501-1522. (doi: 10.1016/j.jpaa.2009.07.013)

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2010) The classification of special Cohen–Macaulay modules. Mathematische Zeitschrift, 265(1), pp. 41-83. (doi: 10.1007/s00209-009-0501-3)

This list was generated on Sun Jun 15 12:15:16 2025 BST.
Jump to: Articles | Books
Number of items: 31.

Articles

Brown, Gavin and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2025) Local normal forms of noncommutative functions. Forum of Mathematics, Pi, (Accepted for Publication)

Donovan, Will and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2025) Stringy Kähler moduli, mutation and monodromy. Journal of Differential Geometry, 129(1), pp. 115-164. (doi: 10.4310/jdg/1736262124)

Brown, Gavin and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2024) Derived deformation theory of crepant curves. Journal of Topology, 17(4), e12359. (doi: 10.1112/topo.12359)

Hara, Wahei and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2024) Spherical objects in dimension two and three. Journal of the European Mathematical Society, (doi: 10.4171/JEMS/1504) (Early Online Publication)

Nabijou, Navid ORCID logoORCID: https://orcid.org/0000-0003-0761-477X and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2024) GV and GW invariants via the enhanced movable cone. Moduli, 1, e8. (doi: 10.1112/mod.2024.4)

Hirano, Yuki and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2023) Stability conditions for 3-fold flops. Duke Mathematical Journal, 172(16), pp. 3105-3173. (doi: 10.1215/00127094-2022-0097)

Smith, Ivan and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2023) Double bubble plumbings and two-curve flops. Selecta Mathematica - New Series, 29(2), 29. (doi: 10.1007/s00029-023-00828-z)

August, Jenny ORCID logoORCID: https://orcid.org/0000-0001-7999-3858 and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2022) Stability conditions for contraction algebras. Forum of Mathematics, Sigma, 10, e73. (doi: 10.1017/fms.2022.65)

Dao, Hailong, Iyama, Osamu, Takahashi, Ryo and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2020) Gorenstein modifications and Q-Gorenstein rings. Journal of Algebraic Geometry, 29(4), pp. 729-751. (doi: 10.1090/jag/760)

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2020) Weighted projective lines and rational surface singularities. Épijournal de Géométrie Algébrique, 3, 13.

Donovan, Will and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2019) Contractions and deformations. American Journal of Mathematics, 141(3), pp. 563-592. (doi: 10.1353/ajm.2019.0018)

Donovan, Will and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2019) Noncommutative enhancements of contractions. Advances in Mathematics, 344, pp. 99-136. (doi: 10.1016/j.aim.2018.11.019)

Donovan, Will and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2019) Twists and braids for general 3-fold flops. Journal of the European Mathematical Society, 21(6), pp. 1641-1701. (doi: 10.4171/JEMS/868)

Dao, Hailong, Iyama, Osamu, Iyengar, Srikanth B., Takahashi, Ryo, Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 and Yoshino, Yuji (2019) Noncommutative resolutions using syzygies. Bulletin of the London Mathematical Society, 51(1), pp. 43-48. (doi: 10.1112/blms.12210)

Hirano, Yuki and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2018) Faithful actions from hyperplane arrangements. Geometry and Topology, 22(6), pp. 3395-3433. (doi: 10.2140/gt.2018.22.3395)

Brown, Gavin and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2018) Gopakumar--Vafa invariants do not determine flops. Communications in Mathematical Physics, 361(1), pp. 143-154. (doi: 10.1007/s00220-017-3038-z)

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2018) Reduction of triangulated categories and Maximal Modification Algebras for cA_n singularities. Journal für die Reine und Angewandte Mathematik (Crelles Journal), 2018(738), pp. 149-202. (doi: 10.1515/crelle-2015-0031)

Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2018) Flops and clusters in the homological minimal model programme. Inventiones Mathematicae, 211(2), pp. 435-521. (doi: 10.1007/s00222-017-0750-4)

Donovan, Will and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2016) Noncommutative deformations and flops. Duke Mathematical Journal, 165(8), pp. 1397-1474. (doi: 10.1215/00127094-3449887)

Kalck, Martin, Iyama, Osamu, Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 and Yang, Dong (2015) Frobenius categories, Gorenstein algebras and rational surface singularities. Compositio Mathematica, 151(3), pp. 502-534. (doi: 10.1112/S0010437X14007647)

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2014) Maximal modifications and Auslander–Reiten duality for non-isolated singularities. Inventiones Mathematicae, 197(3), pp. 521-586. (doi: 10.1007/s00222-013-0491-y)

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2014) Singular derived categories of -factorial terminalizations and maximal modification algebras. Advances in Mathematics, 261, pp. 85-121. (doi: 10.1016/j.aim.2014.04.001)

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2013) On the noncommutative Bondal–Orlov conjecture. Journal für die reine und angewandte Mathematik (Crelles Journal), 683, pp. 119-128. (doi: 10.1515/crelle-2012-0001)

Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2013) Reconstruction algebras of type D (II). Hokkaido Mathematical Journal, 42(2), pp. 293-329. (doi: 10.14492/hokmj/1372859589)

Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2012) Reconstruction algebras of type D (I). Journal of Algebra, 356(1), pp. 158-194. (doi: 10.1016/j.jalgebra.2012.01.019)

Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2011) The GL(2, C) McKay correspondence. Mathematische Annalen, 350(3), pp. 631-659. (doi: 10.1007/s00208-010-0572-9)

Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2011) Reconstruction algebras of type A. Transactions of the American Mathematical Society, 363(6), pp. 3101-3132. (doi: 10.1090/S0002-9947-2011-05130-5)

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2011) A new triangulated category for rational surface singularities. Illinois Journal of Mathematics, 55(1), pp. 325-341.

Bocklandt, Raf, Schedler, Travis and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2010) Superpotentials and higher order derivations. Journal of Pure and Applied Algebra, 214(9), pp. 1501-1522. (doi: 10.1016/j.jpaa.2009.07.013)

Iyama, Osamu and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2010) The classification of special Cohen–Macaulay modules. Mathematische Zeitschrift, 265(1), pp. 41-83. (doi: 10.1007/s00209-009-0501-3)

Books

Bellamy, Gwyn ORCID logoORCID: https://orcid.org/0000-0002-7045-4177, Rogalski, Daniel, Schedler, Travis, Stafford, J. Toby and Wemyss, Michael ORCID logoORCID: https://orcid.org/0000-0003-4760-7750 (2016) Noncommutative Algebraic Geometry. Series: Mathematical Sciences Research Institute publications, 64. Cambridge University Press. ISBN 9781107129542

This list was generated on Sun Jun 15 12:15:16 2025 BST.

Grants

Current:

  • ERC Consolidator Grant, 2021-26.
  • EPSRC Programme Grant "Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And Deformations", 2018-24.
  • GRAID Programme for PhD supervision in Uganda, 2019-2022, joint with David Ssevviiri.

Supervision

I currently advise PhD students Caro, Brian, Sam, Zhang, Charlotte, Marina and Parth. 

I am always interested in hearing from potential PhD students and postdocs, so feel free to contact me directly, or see the up-date information about supervision opportunities for both me and the wider group at our available supervisors page, and our positions page.

Professional activities & recognition

Prizes, awards & distinctions

  • 2017: LMS Whitehead Prize (LMS)
  • 2020: Adams Prize (Cambridge University)

Research fellowships

  • 2013 - 2021: EPSRC Early Career Fellowship, with 3 year extension

Grant committees & research advisory boards

  • 2021: REF, Member, REF2021 Sub-panel 10: Mathematical Sciences

Professional & learned societies

  • Chair, Glasgow Mathematical Journal Trust
  • Chair, joint BMC/BAMC conference, Glasgow 2021

Professor Michael Wemyss on Twitter