Professor Kevin Coulembier
People_

Professor Kevin Coulembier

Address
F07 - Carslaw Building
The University of Sydney

2024 The Frontiers of Science Award

2024: Fellow of the Australian Mathematical Society

2023: The Australian Mathematical Society Medal

2022: Sydney Research Accelerator (SOAR) prize, The University of Sydney

2022: G. de B. Robinson Award, Canadian Mathematical Society

2021: Christopher Heyde medal, Australian Academy of Science

Project titleResearch student
Perfected groups and classifying spacesNick BRIDGER
Incompressible Tensor Categories in Positive CharacteristicJoe NEWTON
Monoidal Categories and CryptographyWillow STEWART

Publications

Journals

  • Coulembier, K., Etingol, P., Ostrik, V. (2024). Asymptotic properties of tensor powers in symmetric tensor categories. Pure and Applied Mathematics Quarterly, 20(3), 1141-1179. [More Information]
  • Coulembier, K., Ostrik, V., Tubbenhauer, D. (2024). Growth Rates of the Number of Indecomposable Summands in Tensor Powers. Algebras and Representation Theory, 27, 1033-1062. [More Information]
  • Coulembier, K., Etingof, P. (2024). N-spherical Functors and Tensor Categories. International Mathematics Research Notices, 2024 (14), 10615-10649. [More Information]

2024

  • Coulembier, K., Etingol, P., Ostrik, V. (2024). Asymptotic properties of tensor powers in symmetric tensor categories. Pure and Applied Mathematics Quarterly, 20(3), 1141-1179. [More Information]
  • Coulembier, K., Ostrik, V., Tubbenhauer, D. (2024). Growth Rates of the Number of Indecomposable Summands in Tensor Powers. Algebras and Representation Theory, 27, 1033-1062. [More Information]
  • Coulembier, K., Etingof, P. (2024). N-spherical Functors and Tensor Categories. International Mathematics Research Notices, 2024 (14), 10615-10649. [More Information]

2023

  • Coulembier, K. (2023). Additive Grothendieck Pretopologies and Presentations of Tensor Categories. Applied Categorical Structures, 31(3), 41 pages. [More Information]
  • Coulembier, K. (2023). Homological kernels of monoidal functors. Selecta Mathematica, New Series, 29(2), Article 24 - 1-Article 24 - 46. [More Information]
  • Coulembier, K., Etingof, P., Ostrik, V., Pauwels, B. (2023). Monoidal abelian envelopes with a quotient property. Journal fur die Reine und Angewandte Mathematik, 794, 179-214. [More Information]

2022

  • Coulembier, K., Entova-Aizenbud, I., Heidersdorf, T. (2022). Monoidal abelian envelopes and a conjecture of Benson and Etingof. Algebra and Number Theory, 16(9), 2099-2117. [More Information]
  • Cheng, S., Coulembier, K. (2022). Representation Theory of a Semisimple Extension of the Takiff Superalgebra. International Mathematics Research Notices, 2022 (18), 14454-14495. [More Information]

2021

  • Coulembier, K. (2021). Monoidal abelian envelopes. Compositio Mathematica, 157(7), 1584-1609. [More Information]
  • Coulembier, K. (2021). Ringel Duals of Brauer Algebras via Super Groups. International Mathematics Research Notices, 2021 (5), 3512-3542. [More Information]
  • Coulembier, K., Ehrig, M. (2021). The Periplectic Brauer Algebra III: The Deligne Category. Algebras and Representation Theory, 24(4), 993-1027. [More Information]

2020

  • Coulembier, K., Street,, R., van den bergh, M. (2020). Freely adjoining monoidal duals. Mathematical Structures in Computer Science, 31(7), 748-768. [More Information]
  • Coulembier, K. (2020). Some homological properties of ind-completions and highest weight categories. Journal of Algebra, 562, 341-367. [More Information]
  • Coulembier, K. (2020). Tannakian categories in positive characteristic. Duke Mathematical Journal, 169(16), 3167-3219. [More Information]

2019

  • Coulembier, K., Zhang, R. (2019). Borelic pairs for stratified algebras. Advances in Mathematics, 345, 53-115. [More Information]
  • Coulembier, K., Mazorchuk, V., Zhang, X. (2019). Indecomposable manipulations with simple modules in category O. Mathematical Research Letters, 26(2), 447-499. [More Information]
  • Coulembier, K., Penkov, I. (2019). On an infinite limit of BGG categories o. Moscow Mathematical Journal, 19(4), 655-693. [More Information]

2018

  • Barbier, S., Coulembier, K. (2018). On structure and TKK algebras for Jordan superalgebras. Communications in Algebra, 46(2), 684-704. [More Information]
  • Coulembier, K. (2018). Ringel duality and Auslander–Dlab–Ringel algebras. Journal of Pure and Applied Algebra, 222(12), 3831-3848. [More Information]
  • Coulembier, K. (2018). Tensor ideals, Deligne categories and invariant theory. Selecta Mathematica, New Series, 24(5), 4659-4710. [More Information]

2017

  • Coulembier, K., Mazorchuk, V. (2017). Dualities and derived equivalences for category ℒ. Israel Journal of Mathematics, 219(2), 661-706. [More Information]
  • Coulembier, K., Serganova, V. (2017). Homological invariants in category O for the general linear superalgebra. Transactions of the American Mathematical Society, 369(11), 7961-7997. [More Information]
  • Barbier, S., Coulembier, K. (2017). Polynomial Realisations of Lie (Super)Algebras and Bessel Operators. International Mathematics Research Notices, 2017 (10), 3148-3179. [More Information]

2016

  • Coulembier, K. (2016). Bott-Borel-Weil theory and Bernstein-Gel'fand-Gel'fand reciprocity for Lie superalgebras. Transformation Groups, 21(3), 681-723. [More Information]
  • Coulembier, K., Mazorchuk, V. (2016). Primitive ideals, twisting functors and star actions for classical Lie superalgebras. Journal fur die Reine und Angewandte Mathematik, 718(718), 207-253. [More Information]
  • Barbier, S., Coulembier, K. (2016). The Joseph ideal for sl(m|n). Springer Proceedings in Mathematics and Statistics, 191, 489-499. [More Information]

2015

  • Coulembier, K., De Bie, H. (2015). Conformal symmetries of the super Dirac operator. Revista Matematica Iberoamericana, 31(2), 373-410. [More Information]
  • Coulembier, K., Mazorchuk, V. (2015). Extension fullness of the categories of gelfand–zeitlin and whittaker modules. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 11. [More Information]
  • Coulembier, K., Kieburg, M. (2015). Pizzetti Formulae for Stiefel Manifolds and Applications. Letters in Mathematical Physics, 105(10), 1333-1376. [More Information]

2014

  • Coulembier, K. (2014). Bernstein-Gelfand-Gelfand resolutions for basic classical Lie superalgebras. Journal of Algebra, 399, 131-169. [More Information]
  • Coulembier, K., Somberg, P., Souček, V. (2014). Joseph ideals and harmonic analysis for osp(m|2n). International Mathematics Research Notices, 2014 (15), 4291-4340. [More Information]

2013

  • Coulembier, K. (2013). On a class of tensor product representations for the orthosymplectic superalgebra. Journal of Pure and Applied Algebra, 217(5), 819-837. [More Information]
  • Coulembier, K. (2013). The Orthosymplectic Superalgebra in Harmonic Analysis. Journal of Lie Theory, 23(1), 55-83.

2012

  • Coulembier, K., Zhang, R. (2012). Invariant integration on orthosymplectic and unitary supergroups. Journal of Physics A: Mathematical and Theoretical, 45(2012), 1-32. [More Information]

Selected Grants

2023

  • Categorical geometry and perfect group schemes, Coulembier K, Australian Research Council (ARC)/Future Fellowships (FT)

2021

  • SOAR Prize, Coulembier K, DVC Research/SOAR Prizes
  • New constructions and techniques for tensor categories, Coulembier K, Australian Research Council (ARC)/Discovery Projects (DP)