E-mail: firstname.lastname@univie.ac.at

Office 06.121, Oskar-Morgenstern-Platz 1I am currently a Postdoc at University of Vienna
and the PI of the FWF Stand-Alone grant ``Order-disorder phase transitions in 2D lattice models''.

My field of research lies at the intersection of Probability Theory and Mathematical Physics.
Models of statistical mechanics that I am mostly interested in are:

Loop O(n) model, Six-vertex model, Ashkin-Teller model, random-cluster model, Self-Avoiding Walk, Ising model.

Loop O(n) model, Six-vertex model, Ashkin-Teller model, random-cluster model, Self-Avoiding Walk, Ising model.

I did my Ph.D. at the University of Geneva
in 2016 under the supervision of Stanislav Smirnov.
The title of my PhD thesis is
Properties of self-avoiding walks and a stress-energy tensor in the O(n) model.
I obtained a degree Candidate of Physico-mathematical sciences and completed my master's degree
in St Petersburg at PDMI and SPbU,
both under supervision of Dmitry Karpov.

- Structure of Gibbs measures for planar FK-percolation and Potts models

Available on arXiv

Joint with Ioan Manolescu - Macroscopic loops in the loop \(O(n)\) model via the XOR trick

Available on arXiv

Joint with Nicholas Crawford, Matan Harel, and Ron Peled - On the transition between the disordered and antiferroelectric phases of the \(6\)-vertex model

Available on arXiv

Joint with Ron Peled - Exponential decay in the loop \(O(n)\) model: \(n > 1, x<\tfrac{1}{\sqrt{3}}+\varepsilon(n)\)

In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius, (2021), 455-470

Joint with Ioan Manolescu - Uniform Lipschitz functions on the triangular lattice have logarithmic variations

Communications in Mathematical Physics (CMP), vol. 381, 3, (2021), 1153-1221

Joint with Ioan Manolescu -
Self-avoiding walk on \(\mathbb{Z}^2\) with Yang-Baxter weights: universality of critical fugacity and 2-point function

Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques (AIHP), vol. 56, 4, (2020)

Joint with Ioan Manolescu - Macroscopic loops in the loop O(n) model at Nienhuis' critical point

Journal of the European Mathematical Society (JEMS), vol. 23, 1, (2021), 315--347

Joint with Hugo Duminil-Copin, Ron Peled and Yinon Spinka - Discrete stress-energy tensor in the loop O(n) model

Available on the arXiv

Joint with Dmitry Chelkak and Stanislav Smirnov - On the probability that self-avoiding walk ends at a given point

Annals of Probability (AOP) 44 (2016), no. 2, 955-983

Joint with Hugo Duminil-Copin, Alan Hammond and Ioan Manolescu - Connective constant for a weighted self-avoiding walk on \(\mathbb{Z}^2\)

Electronic Communications in Probability (ECP) 20 (2015), no. 86, 1-13 - Generalized flowers in k-connected graph. Part 2

(Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 417 (2013), Kombinatorika i Teoriya Grafov. VI, 11-85;

translation in J. Math. Sci. (N.Y.) 204 (2015), no. 2, 185–231 - Forms of higher degree over certain fields

(Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 394 (2011), Voprosy Teorii PredstavleniÄ Algebr i Grupp. 22, 209--217, 296;

translation in J. Math. Sci. (N.Y.) 188 (2013), no. 5, 591–595

Joint with Alexander Sivatski, Dmitry Stolyarov and Pavel Zatitsky - Generalized flowers in k-connected graph

(Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 391 (2011), Kombinatorika i Teoriya Grafov. III, 45-78;

translation in J. Math. Sci. (N.Y.) 184 (2012), no. 5, 579–594