Publications and preprints
Representation theory of the orthosymplectic Yangian, with Bryan Kettle, in preparation.
Deformed double current superalgebras, with Peggy Jankovic and Mamoru Ueda, in preparation.
Affine super Yangians, with Peggy Jankovic and Mamoru Ueda, in preparation.
Evaluation homomorphism for the affine Yangian of type A, with Vidas Regelskis and Curtis Wendlandt, in preparation.
R-matrix presentation of orthogonal and symplectic quantum loop algebras and their representations, with Vidas Regelskis and Curtis Wendlandt, in preparation.
Highest weight modules over the quantum periplectic superalgebra, with Saber Ahmed and Dimitar Grantcharov, Journal of Algebra, 639 (2024), pp. 187-227. pdf
Quantized enveloping superalgebra of type P, with Saber Ahmed and Dimitar Grantcharov, Letters in Mathematical Physics, 111 (2021), 84. pdf
Vertex representations for Yangians of Kac-Moody algebras, with Vidas Regelskis and Curtis Wendlandt, Journal de l'Ecole polytechnique, 6 (2019), pp. 665-706. pdf
Representations of twisted Yangians of types B, C, D: II, with Vidas Regelskis and Curtis Wendlandt, Transformation Groups, 24 (2019), no.4, pp. 1015-1066. pdf
Equivalences between three presentations of orthogonal and symplectic Yangians, with Vidas Regelskis and Curtis Wendlandt, to appear in Letters in Mathematical Physics. pdf
Coproduct for Yangians of affine Kac-Moody algebras, with Hiraku Nakajima and Curtis Wendlandt, Advances in Mathematics. 338 (2018), pp. 865-911. pdf
Representations of twisted Yangians of types B, C, D: I, with Vidas Regelskis and Curtis Wendlandt, Selecta Mathematica, 23 (2017), no.3, pp. 2071-2156. pdf
On deformed double current algebras of simple Lie algebras, with Yaping Yang, Mathematical Research Letters, 24 (2017), no.5, pp. 1307-1384. pdf
Twisted Yangians of small rank, with Vidas Regelskis and Curtis Wendlandt, Journal of Mathematical Physics, 57 (2016), no.4, 041703, 28 pp. pdf
Twisted Yangians for symmetric pairs of types B,C,D, with Vidas Regelskis, Mathematische Zeitschrift, 284 (2016), no.1, pp. 131-166. pdf
Quantum Walled Brauer-Clifford Superalgebras, with Georgia Benkart, Ji Hye Jung, Seok-Jin Kang and Stewart Wilcox, Journal of Algebra, 454 (2016), pp. 433-474. pdf
Local Weyl modules and cyclicity of tensor products for Yangians, with Yilan Tan, Journal of Algebra, 432 (2015), pp. 228-251. pdf
From twisted quantum loop algebras to twisted Yangians, with Patrick Conner, SIGMA Symmetry Integrability Geom. Methods Appl., 11 (2015), 040, 14 pages. pdf
Almost cellular algebras, with Stewart Wilcox, Journal of Pure and Applied Algebra, 219 (2015), no.9, pp. 4105-4116. pdf
Twisted Yangians, twisted quantum loop algebras and affine Hecke algebras of type BC , with Hongjia Chen and Xiaoguang Ma, Transactions of the American Mathematical Society, 366 (2014), pp. 2517-2574. pdf
From quantum loop algebras to Yangians , with Xiaoguang Ma, Journal of the London Mathematical Society, 86 (2012), no.3 pp. 683-700. pdf
Twisted affine Lie superalgebra of type Q and quantization of its enveloping superalgebra , with Hongjia Chen, Mathematische Zeitschrift, 272 (2012), no.1 pp. 317-347. pdf
Central extensions of matrix Lie superalgebras over Z/2Z-graded algebras , with Hongjia Chen, Algebras and Representation Theory, 16 (2013), no.2 pp. 591-604. pdf
Quantum algebras and symplectic reflection algebras for wreath products, Representation Theory, 14 (2010), pp. 148-200. pdf
Double affine Lie algebras and finite groups , with D. Hernandez and S. Loktev, Pacific Journal of Mathematics, 243 (2009), no.1 pp. 1-41. pdf
Quantum algebras and quivers, Selecta Mathematica, 14 (2009), no. 3-4, pp. 667-700. pdf
Affine Yangians and deformed double current algebras in type A, Advances in Mathematics, 211 (2007), no.2 pp. 436-484. pdf
Cherednik algebras and Yangians, International Mathematics Research Notices, 2005 , no. 57 pp. 3551-3593. pdf
On the category O for rational Cherednik algebras , with V. Ginzburg, E. Opdam and R. Rouquier, Inventiones mathematicae, 154 (December 2003), no. 3 pp. 617-651. pdf
Projective modules in the category O for the Cherednik algebra, Journal of Pure and Applied Algebra, 182 (2003), pp. 209-221. pdf
Embeddings of symmetric varieties, Transformation Groups, 6 (2001), no.4 pp. 333-352. pdf
Office hours in CAB 665:
Wednesday 1-2pm, Friday 1-3pm, and by appointment.
Links:
University of Alberta
Mathematical and Statistical Sciences
e-print arXiv