Preprints
Faithful covers of Khovanov arc algebras, joint with Maud De Visscher, Alice Dell'Apricete, Amit Hazi, Rob Muth, and Catharina Stroppel.
Quiver presentations and Schur--Weyl dualities for Khovanov arc algebras, joint with Maud De Visscher, Alice Dell'Apricete, Amit Hazi, Rob Muth, and Catharina Stroppel.
Quiver presentations and isomorphisms of Hecke categories and Khovanov arc algebras, joint with Maud De Visscher, Amit Hazi, and Catharina Stroppel.
The anti-spherical Hecke categories for Hermitian symmetric pairs, joint with Maud De Visscher, Amit Hazi, and Emily Norton.
Book
Diagrammatic Algebra, Springer Universitext.
Published Papers (all available at the arXiv)
(35) The partition algebra and plethysm coefficients II: ramified plethysm, joint with Rowena Paget and Mark Wildon, Advances in Mathematics 2025.
(34) Oriented Temperley-Lieb algebras and combinatorial Kazhdan-Lusztig theory, joint with Maud De Visscher, Niamh Farrell, Amit Hazi, and Emily Norton, Canadian Journal of Mathematics 2025.
(33)The partition algebra and plethysm coefficients I: stability and Foulkes' conjecture, joint with R. Paget, Journal of Algebra 2024.
(32) Canonical bases and new applications of increasing and decreasing subsequences to invariant theory, joint with Steve Doty and Stuart Martin, Journal of Algebra 2024.
(31) Path isomorphisms between quiver Hecke and diagrammatic Bott--Samelson endomorphism algebras, joint with A. Cox and A. Hazi, Advances in Mathematics 2023
(30) Splitting Kronecker squares, 2-decomposition numbers, Catalan combinatorics, and the Saxl conjecture, joint with C. Bessenrodt, Algebraic Combinatorics (2023).
(29) The classification of multiplicity-free plethysm products, joint with C.Bessenrodt and R. Paget, Transactions of the AMS (2022).
(28) An integral second fundamental theorem of invariant theory for partition algebras, joint with S. Doty and S. Martin, Representation Theory of the AMS (2022).
(27) Unitary representations of cyclotomic Hecke algebras at roots of unity: combinatorial classification and BGG resolutions, joint with E. Norton and J. Simental, Journal of the Institute of Mathematics of Jussieu 2022
(26) Integral Schur--Weyl duality for partition algebras, joint with S. Doty and S. Martin, Algebraic Combinatorics (2022).
(25) On BGG resolutions of unitary simple modules for quiver Hecke and Cherednik algebras, joint with E. Norton and J. Simental, Selecta Mathematica (2022)
(24) The many graded cellular bases of Hecke algebras, American Journal of Mathematics, (2022).
(23)The modular Weyl--Kac character formula, joint with E. Norton and A. Hazi, Math Zeitschrift (2022).
(22) Path Combinatorics and Light Leaves bases of quiver Hecke algebras, joint with A. Cox, D. Michailidis and A. Hazi, Math Zeitschrift (2022).
(21) Kronecker positivity and 2-modular representation theory, joint with C. Bessenrodt and L. Sutton, Transaction of the AMS (2021).
(20) The co-Pieri rule for Kronecker coefficients, joint with M. De Visscher and J. Enyang, Journal of Combinatorial Theory Series A (2021).
(19) The cellular second fundamental theorem of invariant theory, joint with J. Enyang and F. M. Goodman, International Mathematical Research Notices. (2020)
(18) The uniqueness of plethystic factorisation, joint with R. Paget, Transactions of the AMS (2020).
(17) An analogue of row removal for diagrammatic Cherednik algebras, joint work with L. Speyer, Math Zeitschrift (2019).
(16) Simple modules for partition algebras and monotone convergence of Kronecker coefficients, joint with M. De Visscher and J. Enyang, International Mathematical Research Notices, (2019).
(15) The integral isomorphism behind first row removal phenomena for Schur algebras, joint with E. Giannelli, Mathematical Proceedings of the Cambridge Philosophical Society, (2019).
(14) Modular decomposition numbers of cyclotomic Hecke and diagrammatic Cherednik algebras, Forum of Mathematics, Sigma (2018).
(13) Kleshchev's decomposition numbers for diagrammatic Cherednik algebras, joint work with L. Speyer, Transactions of the American Mathematical Society (2018).
(12) Diagram algebras, dominance triangularity, and skew cell modules joint with J. Enyang and F. M. Goodman. Journal of the Australian Mathematical Society, (2018).
(11) Multiplicity-free Kronecker products of characters of the symmetric groups, joint with C. Bessenrodt, Advances in Mathematics, 2017 (56 pages).
(10) A family of graded decomposition numbers for diagrammatic Cherednik algebras, joint work with A. G. Cox and L. Speyer, International Mathematics Research Notices 2016
(9) The block structure of the partition algebras in characteristic p>0, joint with M. De Visscher and O. King, Algebras and Representation Theory (2015).
(8) The partition algebra and the Kronecker product, joint with M. De Visscher and R. Orellana, Transactions of the American Mathematical Society (2015).
(7) Decomposition numbers for Brauer algebras of type G(m,p,n) in characteristic zero, joint with A. G. Cox, Journal of Pure and Applied Algebra, (2014).
(6) Decomposition numbers of cyclotomic Brauer algebras, joint with A. G. Cox and M. De Visscher, Journal of Algebra 378 (2013).
(5) Decomposition of tensor products of modular irreducible representations for SL_3 for large primes, joint with S.R. Doty and S. Martin, International Electronic Journal of Algebra.
(4) Bases of quasi-hereditary covers of diagram algebras, Mathematical Proceedings of the Cambridge Philosophical Society
(3) Brauer algebras of type C are cellularly stratified algebras, Mathematical Proceedings of the Cambridge Philosophical Society
(2) A reciprocity result for projective indecomposable modules of cellular algebras and BGG algebras, joint with S. Martin, Journal of Lie Theory
(1) Decomposition of tensor products of modular irreducible representations for SL_3 (With an Appendix by C.M. Ringel, joint with S.R. Doty, S. Martin and C.M. Ringel, International Electronic J. Algebra
Other publications
Introduction by the Organizers, Joint with C. Bessenrodt, C. Bowman and A. Kleshchev, Oberwolfach Rep. 39 (2022), DOI: 10.4171/OWR-2022-39.
Introduction by the Organizers, Joint with C. Bessenrodt, C. Bowman, Oberwolfach Rep. 9 (2020), DOI: 10.14760/OWR-2020-9.
Dyck combinatorics in Kazhdan–Lusztig theory, joint with A. Hazi, M. De Visscher, and C. Stroppel, Séminaire Lotharingien de Combinatoire (2024).
The lattice permutation condition for Kronecker tableaux, joint with M. De Visscher and J. Enyang, Séminaire Lotharingien de Combinatoire, (2020)
The partition algebra and the Kronecker coefficients, joint with M. De Visscher; R. Orellana, DMTCS Proceedings 26th International Conference on FPSAC 2013.