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About me
About me
I am a Research Fellow in the School of Mathematics at the University of Leeds working on diagrammatic and combinatorial methods in representation theory.
Previously I was a Postdoctoral Research Associate at the University of York, and from 2019-2022 I was an 1851 Research Fellow at City, University of London. I obtained my PhD from the University of Cambridge in 2018.
Research Interests
Research Interests
Tilting modules for reductive groups in positive characteristic
(Diagrammatic) Soergel bimodules
Diagram algebras
Publications
Publications
C. Bowman, M. De Visscher, N. Farrell, A. Hazi, and E. Norton. Oriented Temperley-Lieb algebras and combinatorial Kazhdan-Lusztig theory. Canad. J. Math (to appear). arXiv:2212.09402.
C. Bowman, M. De Visscher, A. Hazi, and E. Norton. The anti-spherical Hecke categories for Hermitian symmetric pairs. Adv. Math. 480 (2025), 110501.
A. Hazi. Matrix recursion for positive characteristic diagrammatic Soergel bimodules for affine Weyl groups. Represent. Theory 29 (2025), 443-526.
C. Bowman, M. De Visscher, A. Hazi, and C. Stroppel. Dyck combinatorics in p-Kazhdan-Lusztig theory. Sém. Lothar. Combin. 91B (2024), Art. 17, 12.
A. Hazi. Existence and rotatability of the two-colored Jones–Wenzl projector. Bull. Lond. Math. Soc. (3) 56 (2024), 1095-1113.
C. Bowman, A. G. Cox, and A. Hazi. Path isomorphisms between quiver Hecke and diagrammatic Bott-Samelson endomorphism algebras. Adv. Math. 429 (2023), Paper No. 109185, 106.
C. Bowman, A. Hazi, and E. Norton. The modular Weyl-Kac character formula. Math. Z. (4) 302 (2022), 2207-2232.
C. Bowman, A. G. Cox, A. Hazi, and D. Michailidis. Path combinatorics and light leaves for quiver Hecke algebras. Math. Z. (3) 300 (2022), 2167-2203.
A. Hazi, P. P. Martin, and A. E. Parker. Indecomposable tilting modules for the blob algebra. J. Algebra 568 (2021), 273-313.
A. Hazi. Balanced semisimple filtrations for tilting modules. Represent. Theory 21 (2017), 4-19.
A. Hazi. Radically filtered quasi-hereditary algebras and rigidity of tilting modules. Math. Proc. Camb. Phil. Soc. (2) 163 (2017), 265-288.
Contributions to compiled volumes
Contributions to compiled volumes
A. Hazi. An introduction to diagrammatic Soergel bimodules. In Modern trends in algebra and representation theory. Ed. by D. Jordan, N. Mazza, and S. Schroll. Vol. 486 (2023). London Mathematical Society Lecture Note Series (Cambridge University Press, Cambridge), 212-226.
A. Hazi. Diagrammatic methods in p-Kazhdan–Lusztig theory. In Character theory and categorification. Ed. by C. Bessenrodt, C. Bowman, E. Gianelli, and A. Kleshchev. Vol. 19. Oberwolfach Rep. 3 (EMS Press, 2022), 2312-2315.
C. Bowman, M. De Visscher, A. Dell’Arciprete, A. Hazi, R. Muth, and C. Stroppel. Faithful covers of Khovanov arc algebras. arXiv:2411.15788.
C. Bowman, M. De Visscher, A. Dell’Arciprete, A. Hazi, R. Muth, and C. Stroppel. Quiver presentations and Schur-Weyl duality for Khovanov arc algebras. arXiv:2411.15520.
C. Bowman, M. De Visscher, A. Hazi, and C. Stroppel. Quiver presentations and isomorphisms of Hecke categories and Khovanov arc algebras. arXiv:2309.13695.
Contact Information
Contact Information
Address: 9.30 School of Mathematics, University of Leeds, Leeds, LS2 9JT, United Kingdom
Email: A.Hazi@leeds.ac.uk
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