Kalle Kytölä

Ph.D., Academy research fellow

Email: firstname dot lastname (AT) helsinki dot fi
Personal Homepage:
Telephone: ?
Facsimile: -

Mailing Address:

Department of Mathematics and Statistics
P.O. Box 68
FIN-00014 University of Helsinki
Finland

Visiting Address:
Office A406

Our conference in June 2012 Conformal Invariance, Discrete Holomorphicity and Integrability

Scientific Activities:

My research interests deal with statistical physics, probability theory, conformal field theory and representations of infinite dimensional Lie algebras. In particular my goal is to understand better how conformal field theory can be applied to Schramm-Loewner evolutions (SLE) and related random conformally invariant geometric objects.

Teaching:

• Introduction to Hopf algebras and representations, Spring 2011
  Lecture notes: Hopf-lecture_notes.pdf
• Random conformally invariant curves, Iceland, Summer School in Random Geometry, August 2011
  Lecture notes: Random_curves-lecture_notes.pdf

Publications, preprints and other things:

1. K.Izyurov and K.Kytölä: Hadamard's formula and couplings of SLEs with free field. (2010) Preprint: [arxiv:1006.1853].
2. C.Hongler and K.Kytölä: Dipolar SLE in Ising model with plus-minus-free boundary conditions. (2009) Preprint: [arxiv:1108.0643].
3. K.Kytölä and D.Ridout: On staggered indecomposable Virasoro modules. (2009) Journal of Mathematical Physics, Vol. 50, 123503. Preprint version: [arXiv:0905.0108].
4. K.Kytölä: SLE local martingales in logarithmic representations. (2009) Journal of Statistical Mechanics: Theory and Experiment P08005. Preprint version: [arXiv:0804.2612].
5. M.Bauer, D.Bernard and K.Kytölä: LERW as an example of off-critical SLEs. (2007) Journal of Statistical Physics, Vol. 132, No. 4, 721-754.. The original publication is available at [www.springerlink.com]. Preprint version: [arXiv:0712.1952].
   
6. K.Kytölä: Conformal Field Theory Methods for Variants of Schramm-Loewner Evolutions. Yliopistopaino, Helsinki 2006. PhD thesis: Faculty of Science, Department of Mathematics and Statistics, University of Helsinki.
   
7. K.Kytölä and A.Kemppainen: SLE Local Martingales, Reversibility and Duality. (2006) Journal of Physics A: Mathematical and General Vol. 39 No. 46 L657-L666. (c) copyright 2006 IOP Publishing Ltd. Preprint version: [arXiv:math-ph/0605058].
   
8. K.Kytölä: Virasoro Module Structure of Local Martingales of SLE Variants. (2006) Reviews in Mathematical Physics, Vol. 19, No. 5, 455-509 Preprint version: [arXiv:math-ph/0604047]
   
9. K.Kytölä: On conformal field theory of SLE(kappa; rho). (2006) Journal of Statistical Physics, Vol. 123, No. 6, 1169-1181. The original publication is available at [www.springerlink.com]. Preprint version: [arXiv:math-ph/0504057].
   
10. M.Bauer, D.Bernard and K.Kytölä: Multiple Schramm-Loewner Evolutions and Statistical Mechanics Martingales. (2005) Journal of Statistical Physics, Vol. 120, Nos. 5/6, 1125-1163. The original publication is available at [www.springerlink.com]. Preprint version: [arXiv:math-ph/0503024].
    
11. K.Kytölä: On models of two-dimensional statistical physics and the Coulomb gas. Masters thesis (2004), Department of Mathematics at University of Helsinki.
    
12. Matti Järvinen and Kalle Kytölä: On Löwner's half plane equation: linear driving function. (2002)
    
13. K.P.J.Kytölä, E.T.Seppälä and M.J.Alava: Elastic manifolds in disordered environments: energy statistics. (2003) Europhysics Letters 62, 35-41. Preprint version: [arXiv:cond-mat/0301604].