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Konstantin Izyurov

I am an assistant professor at the Department of Mathematics and Statistics. I did my Ph. D. at the University of Geneva and then worked at Chebyshev Laboratory at St. Petersburg State University.

I am doing research on critical behavior in two-dimensional statistical physics.

Contact information:; room D314 of Exactum building. Office hours: Wednesday 13-14 or by appointment.

I am looking for a Ph. D. student to work in the Academy of Finland project.  Apply here!

Discrete complex analysis course (spring 2015)

1st Saint Petersburg — Helsinki math colloquium

2nd Saint-Petersburg  Helsinki math colloquium


  • A uniquness theorem for M. Rietz potentials [journal] [arXiv].

  • Hadamard's formula and couplings of SLEs with free field, with K. Kytölä  [journal] [arXiv].

  • A proof of factorization formula for critical percolation, with D. Beliaev    [journal] [arXiv].

  • On SLE martingales in boundary WZW models, with A. Alekseev and A. Bytsko [journal] [arXiv].
  • Holomorphic spinor observables in the critical Ising model, with D. Chelkak [journal] [arXiv].

  • Conformal invariance of spin correlations in the planar Ising model, with D. Chelkak and C. Hongler [journal] [arXiv]. 
  • Critical Ising interfaces in multiply-connected domains, [arXiv]
  • Smirnov's observable for free boundary conditions, interfaces and crossing probabilities [journal] [arXiv]
  • On multiple SLE for the FK-Ising model [arXiv]

  • Asymptotics of the determinant of discrete Laplacians on triangulated and quadrangulated surfaces, with M. Khristoforov [arXiv]

Lecture notes

Discrete complex analysis

Probability theory


  • Academy of Finland postdoc, 2014 – 2016
  • University of Helsinki support funding 2019
  • Academy of Finland project "Critical phenomena in dimension two: analytic and probabilistic methods" 2020 – 2024

Past Students:

  • Joonas Turunen, Ph. D. thesis "On Ising Model Coupled to Random Planar Triangulations", defended on 30 June 2020 (co-supervised with Antti Kupiainen);
  • Petrus Mikkola, MSc thesis "Discrete complex analysis of single- and multivalued functions on isoradial graphs", 2020, submitted.
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