Professor Gwyn Bellamy

Professor of Mathematics (Mathematics)

telephone: 01413306534
email: Gwyn.Bellamy@glasgow.ac.uk
pronouns: He/him/his

Room 418, School of Mathematics and Statistics, University of Glasgow, University Place, Glasgow, G12 8QQ

Biography

Personal Website: https://sites.google.com/view/gwynbellamy/home

Research interests

My research interests are in representation theory and its interactions with geometry. More specifically, I am interested in the many different areas of mathematics that are in some way related to the study of sympletic reflection algebras (and especially rational Cherednik algebras). This includes symplectic algebraic geometry, Calogero-Moser systems, algebraic combinatorics and the representation theory of objects of Lie type such as Hecke algebras and q-Schur algebras. In particular, I am trying to understand the relationship between sympletic reflection algebras and the theory of D-modules, or more general, sheaves of deformation-quantization algebras.

Research groups

Publications

List by: Type | Date

Jump to: 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2009

Number of items: 35.

2024

Bellamy, G. , Craw, A., Rayan, S., Schedler, T. and Weiss, H. (2024) All 81 crepant resolutions of a finite quotient singularity are hyperpolygon spaces. Journal of Algebraic Geometry, (doi: 10.1090/jag/827) (Early Online Publication)

2023

Bellamy, G. and Thiel, U. (2023) The Rank One property for free Frobenius extensions. Comptes Rendus Mathématique, 361, pp. 1341-1348. (doi: 10.5802/crmath.502)

Bellamy, G. (2023) Coulomb branches have symplectic singularities. Letters in Mathematical Physics, 113, 104. (doi: 10.1007/s11005-023-01724-5)

Bellamy, G. , Bonnafé, C., Fu, B., Juteau, D., Levy, P. and Sommers, E. (2023) A new family of isolated symplectic singularities with trivial local fundamental group. Proceedings of the London Mathematical Society, (doi: 10.1112/plms.12513) (Early Online Publication)

Bellamy, G. , Schmitt, J. and Thiel, U. (2023) On parabolic subgroups of symplectic reflection groups. Glasgow Mathematical Journal, (doi: 10.1017/S0017089522000416) (Early Online Publication)

2022

Bellamy, G. , Gunningham, S. and Raskin, S. (2022) Projective generation for equivariant D-modules. Transformation Groups, 27(3), pp. 737-749. (doi: 10.1007/s00031-021-09660-1)

Bellamy, G. and Thiel, U. (2022) Cellularity of endomorphism algebras of tilting objects. Advances in Mathematics, 404(Part A), 108387. (doi: 10.1016/j.aim.2022.108387)

2021

Bellamy, G. , Brown, R. , Cleland Woods, H. , Labrosse, N. , Senn, H. , Singer, J. and Vezza, M. (2021) Togetherness: the central tenet of an effective institutional online pivot. Journal of Perspectives in Applied Academic Practice, 9(2), pp. 82-90. (doi: 10.14297/jpaap.v9i2.491)

Bellamy, G. and Schedler, T. (2021) Symplectic resolutions of quiver varieties. Selecta Mathematica, 27(3), 36. (doi: 10.1007/s00029-021-00647-0)

Bellamy, G. and Boos, M. (2021) Semisimplicity of the category of admissible D-modules. Kyoto Journal of Mathematics, 61(1), pp. 115-170. (doi: 10.1215/21562261-2020-0006)

2020

Bellamy, G. and Craw, A. (2020) Birational geometry of symplectic quotient singularities. Inventiones Mathematicae, 222(2), pp. 399-468. (doi: 10.1007/s00222-020-00972-9)

Bellamy, G. and Boos, M. (2020) The (cyclic) enhanced nilpotent cone via quiver representations. Manuscripta Mathematica, 161(3-4), pp. 333-362. (doi: 10.1007/s00229-018-1098-9)

2019

Bellamy, G. (2019) Rational Cherednik algebras and Schubert cells. Algebras and Representation Theory, 22(6), pp. 1533-1567. (doi: 10.1007/s10468-018-9831-3)

Bellamy, G. and Schedler, T. (2019) On symplectic resolutions and factoriality of Hamiltonian reductions. Mathematische Annalen, 375(1-2), pp. 165-176. (doi: 10.1007/s00208-019-01851-2)

2018

Bellamy, G. and Thiel, U. (2018) Highest weight theory for finite-dimensional graded algebras with triangular decomposition. Advances in Mathematics, 330, pp. 361-419. (doi: 10.1016/j.aim.2018.03.011)

Bellamy, G. and Schedler, T. (2018) Filtrations on Springer fiber cohomology and Kostka polynomials. Letters in Mathematical Physics, 108(3), pp. 679-698. (doi: 10.1007/s11005-017-1002-7)

Bellamy, G. , Schedler, T. and Thiel, U. (2018) Hyperplane arrangements associated to symplectic quotient singularities. Banach Centre Publications, 116, pp. 25-45. (doi: 10.4064/bc116-2)

2017

Bellamy, G. , Dodd, C., McGerty, K. and Nevins, T. (2017) Categorical cell decomposition of quantized symplectic algebraic varieties. Geometry and Topology, 21(5), pp. 2601-2681. (doi: 10.2140/gt.2017.21.2601)

Bellamy, G. and Ginzburg, V. (2017) SL2-action on Hilbert Schemes and Calogero-Moser spaces. Michigan Mathematical Journal, 66(3), pp. 519-532. (doi: 10.1307/mmj/1496995337)

2016

Bellamy, G. and Thiel, U. (2016) Cuspidal Calogero-Moser and Lusztig families for Coxeter groups. Journal of Algebra, 462, pp. 197-252. (doi: 10.1016/j.jalgebra.2016.06.003)

Bellamy, G. (2016) Counting resolutions of symplectic quotient singularities. Compositio Mathematica, 152(1), pp. 99-114. (doi: 10.1112/S0010437X15007630)

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

Bellamy, G. and Schedler, T. (2016) On the (non)existence of symplectic resolutions of linear quotients. Mathematical Research Letters, 23(6), pp. 1537-1564. (doi: 10.4310/MRL.2016.v23.n6.a1)

2015

Bellamy, G. and Ginzburg, V. (2015) Hamiltonian reduction and nearby cycles for mirabolic D-modules. Advances in Mathematics, 269, pp. 71-161. (doi: 10.1016/j.aim.2014.10.002)

2014

Bellamy, G. (2014) Endomorphisms of verma modules for rational cherednik algebras. Transformation Groups, 19(3), pp. 699-720. (doi: 10.1007/s00031-014-9281-x)

Bellamy, G. and Martino, M. (2014) Affinity of Cherednik algebras on projective space. Algebra and Number Theory, 8(5), pp. 1151-1177. (doi: 10.2140/ant.2014.8.1151)

2013

Bellamy, G. and Martino, M. (2013) On the smoothness of centres of rational Cherednik algebras in positive characteristic. Glasgow Mathematical Journal, 55(A), pp. 27-54. (doi: 10.1017/S0017089513000499)

Bellamy, G. and Schedler, T. (2013) A new linear quotient of C^4 admitting a symplectic resolution. Mathematische Zeitschrift, 273(3-4), pp. 753-769. (doi: 10.1007/s00209-012-1028-6)

Bellamy, G. and Ginzburg, V. (2013) Some combinatorial identities related to commuting varieties and Hilbert schemes. Mathematische Annalen, 355(3), pp. 801-847. (doi: 10.1007/s00208-012-0805-1)

Bellamy, G. , Dodd, C., McGerty, K. and Nevins, T. (2013) Categorical cell decomposition of quantized symplectic algebraic varieties. arXiv, (Unpublished)

2012

Bellamy, G. (2012) The Calogero-Moser partition for G(m,d,n). Nagoya Mathematical Journal, 207, pp. 47-77.

Bellamy, G. and Kuwabara, T. (2012) On deformation quantizations of hypertoric varieties. Pacific Journal of Mathematics, 260(1), pp. 89-127. (doi: 10.2140/pjm.2012.260.89)

2011

Bellamy, G. (2011) Cuspidal representations of rational Cherednik algebras at t=0. Mathematische Zeitschrift, 269(3-4), pp. 609-627. (doi: 10.1007/s00209-010-0754-x)

2009

Bellamy, G. (2009) Factorization in generalized Calogero-Moser spaces. Journal of Algebra, 321(1), pp. 338-344. (doi: 10.1016/j.jalgebra.2008.09.015)

Bellamy, G. (2009) On singular Calogero-Moser spaces. Bulletin of the London Mathematical Society, 41(2), pp. 315-326. (doi: 10.1112/blms/bdp019)

This list was generated on Sat Dec 21 12:21:43 2024 GMT.

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