The bar involution for quantum symmetric pairs -- hidden in plain sight, preprint, arXiv:2104.06120.

(with M. Yakimov) Defining relations of quantum symmetric pair coideal subalgebras, preprint, arXiv:2104.05625.

(with W.R. Casper, M. Yakimov) Bivariate continuous q-Hermite polynomials and deformed quantum Serre relations, J. Algebra Appl. 20 (2021), no. 1, 2140016, 28 pp.

(with M. Lorenz, B. Nguyen, R. Yammine) On the adjoint representation of a Hopf algebra, Proc. Edinb. Math. Soc. (2) 63 (2020), no. 4, 1092–1099.

(with M. Yakimov) Symmetric pairs for Nichols algebras of diagonal type via star products, Adv. Math. 365 (2020), art. 107042, 69pp.

(with L. Dobson) Factorisation of quasi K-matrices for quantum symmetric pairs, Selecta Math. (N. S.), 25:63 (2019).

(with P. Baseilhac) Braid group action and root vectors for the q-Onsager algebra, Transform. Groups 25 (2020), no. 2, 363–389.

Braided module categories via quantum symmetric pairs, Proc. London Math. Soc. 121 (2020) No. 1, 1 - 31.

(with M. Balagovic) Universal K-matrix for quantum symmetric pairs, J. reine angew. Math. 747 (2019), 299 - 353.

(with M. Balagovic) The bar involution for quantum symmetric pairs, Represent. Theory 19 (2015), 186 - 210.

Radial part calculations for affine sl2 and the Heun-KZB heat equation, Int. Math. Res. Notices IMRN (2015) No. 23, 12941 - 12990, article ID rnv064.

Quantum symmetric Kac-Moody pairs, Adv. Math. 267 (2014), 395 - 469.

(with I. Heckenberger) Homogeneous coideal subalgebras of quantized enveloping algebras, Bull. London Math. Soc. 44 (2012) No. 4, 837 - 848.

(with J. Pellegrini) Braid group actions on coideal subalgebras of quantized enveloping algebras, J. Algebra 336 (2011) No. 1, 395 - 416.

(the corresponding GAP files can be found here )

(with I. Heckenberger) Right coideal subalgebras of the Borel part of a quantized enveloping algebra, Int. Math. Res. Not. IMRN (2011) No. 2, 419 - 451, article ID rnq074.

(with J.V. Stokman) Reflection equation algebras, coideal subalgebras, and their centres, Selecta Math. (N. S.) 15 (2009) No. 4, 621 - 664.

The AS-Cohen-Macaulay property for quantum flag manifolds of minuscule weight, J. Algebra 319 (2008) No.8, 3518 - 3534.

(with I. Heckenberger) Differential forms via the Bernstein-Gelfand-Gelfand resolution for quantized irreducible flag manifolds, J. Geom. Phys. 57 (2007), 2316 - 2344.

(with I. Heckenberger) On the Bernstein-Gelfand-Gelfand resolution for Kac-Moody algebras and quantized enveloping algebras, Transform. Groups 12 (2007) No.4, 647 - 655.

(with G. Letzter) The center of quantum symmetric pair coideal subalgebras, Represent. Theory 12 (2008), 294 - 326.

Quantum symmetric pairs and the reflection equation, Algebr. Represent. Theory 11 (2008) No. 6, 519 - 544.

(with I. Heckenberger) De Rham complex for quantized irreducible flag manifolds, J. Algebra 305 (2006), 704 - 741.

(with I. Heckenberger) The locally finite part of the dual coalgebra of quantized irreducible flag manifolds, Proc. London Math. Soc. (3) 89 (2004) No.2, 457 - 484.

(with I. Heckenberger) Differential calculus on quantum homogeneous spaces, Lett. Math. Phys. 63 (2003), 255 - 264.

(with I. Heckenberger) Podles' quantum sphere: dual coalgebra and classification of covariant first order differential calculus, J. Algebra 263 (2003), 193 - 214.

(with E. Koelink) Quantum bounded symmetric domains by Leonid L. Vaksman, Bull. Amer. Math. Soc. (N.S.) 50 (2013), No.2, 337 - 345.

Differential Calculus on Quantum Complex Grassmann Manifolds, PhD thesis (Dr. rer. nat.), Universität Leipzig (2002).

Chern-Simons Theorie mit endlicher Eichgruppe und die Quanteninvarianten Turaevs, Diploma thesis, Universität Bonn (1998).

*last modified
04/2021*