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

  • The R-matrix presentation for the Yangian of a simple Lie algebra, to appear in Communications in Mathematical Physics. pdf
  • Representations of twisted Yangians of types B, C, D: II, with Nicolas Guay and Vidas Regelskis, to appear in Transformation Groups. pdf.
  • Equivalences between three presentations of orthogonal and symplectic Yangians, with Nicolas Guay and Vidas Regelskis, to appear in Letters in Mathematical Physics. 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.
  • Coproduct for Yangians of affine Kac-Moody algebras, with Nicolas Guay and Hiraku Nakajima, submitted for publication. Updated version: pdf.

Current projects

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