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:

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