Curtis Wendlandt

Doctoral Candidate in Mathematics

Name Curtis Wendlandt
Affiliation University of Alberta
Department Mathematics
Research Area Representation theory
Position PhD student
Office CCIS L3-256
Contact cwendlan(at)ualberta(dot)ca
Curtis Wendlandt

I am mathematics PhD student studying the representation theory of quantum groups under the supervision of Prof. Nicolas Guay at the University of Alberta in Edmonton, Canada. In particular, I am interested in Hopf algebras called Yangians and certain coideal subalgebras of them which are called twisted Yangians.

My CV can be found here.

Below you will find a list of my publications, preprints, and work in preparation. My preprints are also available on arXiv.

Publications and preprints

  • Coproduct for Yangians of affine Kac-Moody algebras, with Nicolas Guay and Hiraku Nakajima, to appear in Advances in Mathematics. pdf.
  • Representations of twisted Yangians of types B, C, D: II, with Nicolas Guay and Vidas Regelskis, to appear in Transformation Groups. pdf.
  • The R-matrix presentation for the Yangian of a simple Lie algebra, Communications in Mathematical Physics, 363 (2018), no. 1, 289–332. pdf.
  • Equivalences between three presentations of orthogonal and symplectic Yangians, with Nicolas Guay and Vidas Regelskis, Letters in Mathematical Physics (2018). https://doi.org/10.1007/s11005-018-1108-6. pdf.
  • Representations of twisted Yangians of types B, C, D: I, with Nicolas Guay and Vidas Regelskis, Selecta Mathematica (N.S.), 23 (2017), no.3, 2071-2156. pdf.
  • Twisted Yangians of small rank, with Nicolas Guay and Vidas Regelskis, Journal of Mathematical Physics, 57 (2016), no.4, 041703, 28 pp. pdf.
  • Vertex Representations for Yangians of Kac-Moody algebras, with Nicolas Guay and Vidas Regelskis, submitted for publication. pdf.

Current projects

  • From Yangians to Yangian doubles.
  • Representations of twisted Yangians of types B, C, D: III, with Nicolas Guay and Vidas Regelskis.
  • On the R-matrix of the Yangian, with Sachin Gautam and Valerio Toledano Laredo.
  • R-matrix presentation of orthogonal and symplectic quantum loop algebras and their representations, with Nicolas Guay and Vidas Regelskis.