Professor Michael Wemyss

  • The Chair of Mathematics (Mathematics)

Research interests

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

All publications

List by: Type | Date

Jump to: 2020 | 2019 | 2018 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010
Number of items: 23.

2020

Dao, H., Iyama, O., Takahashi, R. and Wemyss, M. (2020) Gorenstein modifications and Q-Gorenstein rings. Journal of Algebraic Geometry, (doi: 10.1090/jag/760) (Early Online Publication)

Iyama, O. and Wemyss, M. (2020) Weighted projective lines and rational surface singularities. Épijournal de Géométrie Algébrique, 3, 13.

2019

Donovan, W. and Wemyss, M. (2019) Contractions and deformations. American Journal of Mathematics, 141(3), pp. 563-592. (doi: 10.1353/ajm.2019.0018)

Donovan, W. and Wemyss, M. (2019) Noncommutative enhancements of contractions. Advances in Mathematics, 344, pp. 99-136. (doi: 10.1016/j.aim.2018.11.019)

Donovan, W. and Wemyss, M. (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, H., Iyama, O., Iyengar, S. B., Takahashi, R., Wemyss, M. and Yoshino, Y. (2019) Noncommutative resolutions using syzygies. Bulletin of the London Mathematical Society, 51(1), pp. 43-48. (doi: 10.1112/blms.12210)

2018

Hirano, Y. and Wemyss, M. (2018) Faithful actions from hyperplane arrangements. Geometry and Topology, 22(6), pp. 3395-3433. (doi: 10.2140/gt.2018.22.3395)

Brown, G. and Wemyss, M. (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, O. and Wemyss, M. (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, M. (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, G. , Rogalski, D., Schedler, T., Stafford, J. T. and Wemyss, M. (2016) Noncommutative Algebraic Geometry. Series: Mathematical Sciences Research Institute publications, 64. Cambridge University Press. ISBN 9781107129542

Donovan, W. and Wemyss, M. (2016) Noncommutative deformations and flops. Duke Mathematical Journal, 165(8), pp. 1397-1474. (doi: 10.1215/00127094-3449887)

2015

Kalck, M., Iyama, O., Wemyss, M. and Yang, D. (2015) Frobenius categories, Gorenstein algebras and rational surface singularities. Compositio Mathematica, 151(3), pp. 502-534. (doi: 10.1112/S0010437X14007647)

2014

Iyama, O. and Wemyss, M. (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, O. and Wemyss, M. (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, O. and Wemyss, M. (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, M. (2013) Reconstruction algebras of type D (II). Hokkaido Mathematical Journal, 42(2), pp. 293-329. (doi: 10.14492/hokmj/1372859589)

2012

Wemyss, M. (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, M. (2011) The GL(2, C) McKay correspondence. Mathematische Annalen, 350(3), pp. 631-659. (doi: 10.1007/s00208-010-0572-9)

Wemyss, M. (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, O. and Wemyss, M. (2011) A new triangulated category for rational surface singularities. Illinois Journal of Mathematics, 55(1), pp. 325-341.

2010

Bocklandt, R., Schedler, T. and Wemyss, M. (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, O. and Wemyss, M. (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 Fri Oct 30 00:07:51 2020 GMT.
Jump to: Articles | Books
Number of items: 23.

Articles

Dao, H., Iyama, O., Takahashi, R. and Wemyss, M. (2020) Gorenstein modifications and Q-Gorenstein rings. Journal of Algebraic Geometry, (doi: 10.1090/jag/760) (Early Online Publication)

Iyama, O. and Wemyss, M. (2020) Weighted projective lines and rational surface singularities. Épijournal de Géométrie Algébrique, 3, 13.

Donovan, W. and Wemyss, M. (2019) Contractions and deformations. American Journal of Mathematics, 141(3), pp. 563-592. (doi: 10.1353/ajm.2019.0018)

Donovan, W. and Wemyss, M. (2019) Noncommutative enhancements of contractions. Advances in Mathematics, 344, pp. 99-136. (doi: 10.1016/j.aim.2018.11.019)

Donovan, W. and Wemyss, M. (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, H., Iyama, O., Iyengar, S. B., Takahashi, R., Wemyss, M. and Yoshino, Y. (2019) Noncommutative resolutions using syzygies. Bulletin of the London Mathematical Society, 51(1), pp. 43-48. (doi: 10.1112/blms.12210)

Hirano, Y. and Wemyss, M. (2018) Faithful actions from hyperplane arrangements. Geometry and Topology, 22(6), pp. 3395-3433. (doi: 10.2140/gt.2018.22.3395)

Brown, G. and Wemyss, M. (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, O. and Wemyss, M. (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, M. (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, W. and Wemyss, M. (2016) Noncommutative deformations and flops. Duke Mathematical Journal, 165(8), pp. 1397-1474. (doi: 10.1215/00127094-3449887)

Kalck, M., Iyama, O., Wemyss, M. and Yang, D. (2015) Frobenius categories, Gorenstein algebras and rational surface singularities. Compositio Mathematica, 151(3), pp. 502-534. (doi: 10.1112/S0010437X14007647)

Iyama, O. and Wemyss, M. (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, O. and Wemyss, M. (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, O. and Wemyss, M. (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, M. (2013) Reconstruction algebras of type D (II). Hokkaido Mathematical Journal, 42(2), pp. 293-329. (doi: 10.14492/hokmj/1372859589)

Wemyss, M. (2012) Reconstruction algebras of type D (I). Journal of Algebra, 356(1), pp. 158-194. (doi: 10.1016/j.jalgebra.2012.01.019)

Wemyss, M. (2011) The GL(2, C) McKay correspondence. Mathematische Annalen, 350(3), pp. 631-659. (doi: 10.1007/s00208-010-0572-9)

Wemyss, M. (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, O. and Wemyss, M. (2011) A new triangulated category for rational surface singularities. Illinois Journal of Mathematics, 55(1), pp. 325-341.

Bocklandt, R., Schedler, T. and Wemyss, M. (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, O. and Wemyss, M. (2010) The classification of special Cohen–Macaulay modules. Mathematische Zeitschrift, 265(1), pp. 41-83. (doi: 10.1007/s00209-009-0501-3)

Books

Bellamy, G. , Rogalski, D., Schedler, T., Stafford, J. T. and Wemyss, M. (2016) Noncommutative Algebraic Geometry. Series: Mathematical Sciences Research Institute publications, 64. Cambridge University Press. ISBN 9781107129542

This list was generated on Fri Oct 30 00:07:51 2020 GMT.

Grants

Current:

  • EPSRC 3-year Early Career Fellowship Extenstion "The Homological Minimal Model Programme", 2018-2021, EP/R009325/1.
  • EPSRC Programme Grant "Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And Deformations", 2018-2024, EP/R034826/1.
  • GRAID Programme for PhD supervision in Uganda, 2019-2022, joint with David Ssevviiri.
  • EPSRC GCRF "Capacity building in Africa via technology-driven research in algebraic and arithmetic geometry", 2020-21, EP/T001968/1.

Supervision

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