Arbeitsgruppe Transformationsgruppen

PD Dr. Valdemar Tsanov

Lehre

Sommersemester 2021: Einführung in die Theorie der Lie-Algebren

Mathematical research interests

Lie theory, homogeneous spaces, interactions between geometry and representation theory, branching laws.
Geometric Invariant Theory, momentum maps.
Projective geometry of homogeneous varieties, secant varieties, osculating varieties.

Publications

• "Unstable loci in flag varieties and variation of quotients" with H. Seppänen.
  International Mathematics Research Notices, 2020, https://doi.org/10.1093/imrn/rnaa268
  arXiv:1607.04231.
  
• "Secant varieties and degrees of invariants"
  Journal of Geometry and Symmetry in Physics 51 (2019) 73-85. arXiv:1811.12048.
  
• "Quantum marginals from pure doubly excited states" with T. Maciazek.
  J. Phys. A: Math. Theor. 50 (2017) 465-304. arXiv:1705.05445.
  
• "Geometric invariant theory for principal three-dimensional subgroups acting on ag varieties" with H. Seppänen.
  Proceedings of the DFG Priority Programme 1388 Representation Theory conference in Bad Honnef, 2015. arXiv:1503.07105.
  
• "Homogeneous projective varieties with semi-continuous rank function" with A. Petukhov.
  Manuscripta Math. 147 (2015), 269-303. arXiv:1304.3322.
  
• "A link between quantum entanglement, secant varieties and sphericity" with A. Sawicki.
  J. Phys. A: Math. Theor. 46 (2013), 265301. arXiv:1302.4459.
  
• "Embeddings of flag manifolds and cohomological components of modules"
  Dissertation, Queen's University, 2011.
  
• "Triangle groups, automorphic forms, and torus knots"
  L'Enseignement Mathématique (2) 59 (2013), 73-113. arXiv:1011.0461.
  
• "Embeddings of semisimple complex Lie groups and cohomological components of modules"
  J. of Algebra 373 (2013) 1-29. arXiv:1005.4225.
  
• "Spherical Varieties" (Notes for a course by M. Brion, written by R. Devyatov, D. Fratila and V. Tsanov)
  In Progess in Math. 295, Highlights in Lie Algebraic Methods, A. Joseph, A. Melnikov, I. Penkov, eds. Birkhäuser, 2012.

Conferences and seminars

RUByS 2019. Symmetries in action at the RUB, Bochum, 5-6 July 2019
(Co-organized with Stéphanie Cupit-Foutou)

Education / emploiment

• Since March 2018 - Research fellow, Ruhr-Universität Bochum
• Okt. 2014 - Febr. 2018 - Research fellow, Universität Göttingen.
• Sept. 2011 - Sept. 2014 - Research fellow, Ruhr-Universität Bochum.
• 2007-2011 - Ph.D. Queen's University.
• 2006-2007 - Junior researcher, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences.
• 2004-2006 - M.Sc. Sofia University.
• 1999-2004 - B.Sc. Sofia University.