Publications

Preprints

• Conformal blocks, q-combinatorics, and quantum group symmetry, 2017.
  Karrila, Alex; Kytölä, Kalle; Peltola, Eveliina
  http://arxiv.org/abs/1709.00249
• Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and Virasoro Structure, 2017.
  Hongler, Clément; Kytölä, Kalle; Viklund, Fredrik
  http://arxiv.org/abs/1307.4104
• Boundary correlations in planar LERW and UST, 2017.
  Karrila, Alex; Kytölä, Kalle; Peltola, Eveliina
  http://arxiv.org/abs/1702.03261

Published articles

• Conformally covariant boundary correlation functions with a quantum group
  Kytölä, Kalle; Peltola, Eveliina
  Journal of the European Mathematical Society, accepted for publication, 2018.
  Preprint version: http://arxiv.org/abs/1408.1384
• Pure partition functions of multiple SLEs
  Kytölä, Kalle; Peltola, Eveliina
  Communications in Mathematical Physics 346:237-292, 2016.
  Preprint version: [arXiv:1506.02476], Free view-only published version.
• SLE boundary visits
  Jokela, Niko; Järvinen, Matti; Kytölä, Kalle
  Annales Henri Poincaré 17(6):1263-1330, 2016.
  Preprint version: [arXiv:1311.2297]
• Discrete holomorphicity and Ising model operator formalism
  Hongler, Clément; Kytölä, Kalle; Zahabi, Ali
  Contemporary Mathematics 644:79-115, 2015.
  Preprint version: [arxiv:1211.7299].
• Ising interfaces and free boundary conditions
  Hongler, Clément; Kytölä, Kalle
  Journal of the American Mathematical Society 26:1107–1189, 2013.
  Preprint version: [arxiv:1108.0643].
• Hadamard’s formula and couplings of SLEs with free field
  Izyurov, Konstantin; Kytölä, Kalle
  Probability Theory and Related Fields 155(1-2):35–69, 2013.
  Preprint version: [arxiv:1006.1853].
• SLE local martingales in logarithmic representations
  Kytölä, Kalle
  Journal of Statistical Mechanics: Theory and Experiment (P08005):1–39, 2009.
  Preprint version: [arXiv:0804.2612].
• On staggered indecomposable Virasoro modules
  Kytölä, Kalle; Ridout, David
  Journal of Mathematical Physics 50(123503), 2009.
  Preprint version: [arXiv:0905.0108].
• LERW as an example of off-critical SLEs
  Bauer, Michel; Bernard, Denis; Kytölä, Kalle
  Journal of Statistical Physics 132(4):721–754, 2008.
  Preprint version: [arXiv:0712.1952].
• Virasoro module structure of local martingales of SLE variants
  Kytölä, Kalle
  Reviews in Mathematical Physics 19(5):455–509, 2007.
  Preprint version: [arXiv:math-ph/0604047].
• On conformal field theory of SLE(kappa;rho)
  Kytölä, Kalle
  Journal of Statistical Physics 123(6):1169–1181, 2006.
  Preprint version: [arXiv:math-ph/0504057].
• SLE local martingales, reversibility and duality
  Kytölä, Kalle; Kemppainen, Antti
  Journal of Physics A: Mathematical and General 39(46):L657–666, 2006.
  Preprint version: [arXiv:math-ph/0605058].
• Multiple Schramm-Loewner evolutions and statistical mechanics martingales
  Bauer, Michel; Bernard. Denis; Kytölä, Kalle
  Journal of Statistical Physics 120(5-6):1125–1163, 2005.
  Preprint version: [arXiv:math-ph/0503024].
• Elastic manifolds in disordered environments: energy statistics
  Kytola, K.P, Seppala, E.T,; Alava, M.J.
  Europhysics Letters 62, 35-41, 2003.
  Preprint version: [arXiv:cond-mat/0301604].

Theses

• 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.
• On models of two-dimensional statistical physics and the Coulomb gas.
  Masters thesis (2004), Department of Mathematics at University of Helsinki.

Lecture notes

• Large random systems (with Antti Kemppainen)
  Aalto University, Spring 2014, Spring 2015, Spring 2016.
• Todennäköisyys ja statistinen fysiikka (Probability and statistical physics)
  University of Helsinki, Spring 2014. Lectured jointly with Antti Kemppainen.
• Introduction to Hopf algebras and representations
  University of Helsinki, Spring 2011.
• Random conformally invariant curves
  Iceland, Summer School in Random Geometry, August 2011.

Other