Prof. RNDr. Roman Kotecký, DrSc.

He graduated from Department of theoretical physics at Charles University in Prague. His main research interests in mathematics and mathematical physics concern theory of phase transition of classical and quantum systems.

He was employed in the department of theoretical physics at Charles University, in the theory group of Microsoft Research in Redmond, and for more than 15 years occupied a position of Professor at the Department of Mathematics at the University of Warwick.

He has been a Panel Member of ERC Starting Grants Evaluation Panels (2007-2015) and was (or is) a member of editorial boards of the journals: Journal of Statistical Physics, Mathematical Physics Electronic Journal, Annales de l'Institut Henri Poincare D: Combinatorics, Physics and their Interactions, and Vesmír. Among his notable awards is A. von Humboldt Research Award and the Silver Medal (1st degree) of the Czech Union of Mathematicians and Physicists. He is a Fellow of the Learned Society of the Czech Republic.

Selected bibliography:

Kotecký, Roman ; Lees, B. (2019): Staggered Long-Range Order for Diluted Quantum Spin Models

Journal Of Statistical Physics, 175(5), pp.972–986.

Kotecký, Roman ; Sokal, A. D.; Swart, Jan M. (2014): Entropy driven phase transition in low-temperature antiferromagnetic Potts models

Commun. Math. Phys., 330: 1339--1394

Kotecký, Roman ; Luckhaus, S. (2014): Nonlinear elastic free energies and gradient Young-Gibbs measures

Commun. Math. Phys., 326: 887-917

Adams, Stefan; Kotecký, Roman ; Müller, Stefan (2013): Finite range decomposition for families of gradient Gaussian measures

Journal of Functional Analysis, 264: 169–206

Huang, Yuan; Chen, Kun; Deng, Youjin; Jacobsen, Jesper Lykke; Kotecký, Roman ; Salas, J.; Sokal, A. D.; Swart, Jan M. (2013): Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, roč. 87, č. 1, nestránkováno.

Biskup, Marek; Kotecký, Roman (2010): True nature of long-range order in a plaquette orbital model

Journal of Statistical Mechanics, P11001

Kotecký, Roman ; Salas, J.; Sokal, A. D. (2008): Phase transition in the 3-state Potts antiferromagnet on the diced lattice

Phys. Rev. Letters, 101

Biskup, Marek; Kotecký, Roman (2007): Phase coexistence of gradient Gibbs states

Probability Theory and Related Fields, 139: 1-39

Biskup, Marek; Kotecký, Roman (2006): Forbidden gap argument for phase transitions proved by means of chessboard estimates

Commun. Math. Phys., 264: 631-656

Biskup, Marek; Borgs, Christian; Chayes, J. T.; Kleinwaks, L.; Kotecký, Roman (2004): Partition function zeros at first-order phase transitions: A general analysis

Commun. Math. Phys., 251: 79-131

Biskup, Marek; Borgs, Christian; Chayes, J. T.; Kotecký, Roman (2004): Partition function zeros at first-order phase transitions: Pirogov-Sinai theory

Jour. Stat. Phys., 116: 97-155

Biskup, Marek; Chayes, J. T.; Kotecký, Roman (2003): Critical region for droplet formation in the two-dimensional Ising model

Commun. Math. Phys., 242: 137-183

Biskup, Marek; Chayes, J. T.; Kotecký, Roman (2002): On the formation/dissolution of equilibrium droplets

Europhys. Letters, 60: 21-27

Hryniv, O.; Kotecký, Roman (2001): Surface tension and the Ornstein-Zernike behaviour for the 2D Blume-Capel model

Journal of Statistical Physics, 106: 431-476

Biskup, Marek; Borgs, Christian; Chayes, J. T.; Kleinwaks, L.; Kotecký, Roman (2000): A general theory of Lee-Yang zeros in models with first-order phase transitions

Physical Review Letters, 84: 4794-8

Chayes, J. T.; Chayes, Lincoln; Kotecký, Roman (1995): The Analysis of the Widom-Rowlinson Model by Stochastic Geometric Methods,

Comm. Math. Phys. 172, 551-569.

Borgs, Christian; Kotecký, Roman (1992): Finite-Size Effects at asymmetric first-order phase transitions,

Phys. Rev. Lett. 68, 1734-1737.

Dobrushin, Roland L.; Kotecký, Roman ; Shlosman, Senya (1992): The Wulff construction: a global shape from local interactions,

American Math. Soc., Translations Of Mathematical Monographs 104, Providence, Rhode Island.

Borgs, Christian; Kotecký, Roman (1990): A Rigorous Theory of Finite Size Scaling at First Order Phase Transitions,

Journ. Stat. Phys. 61, 79-119.

Wang, J.-S.; Swendsen, Robert H.; Kotecký, Roman (1989): Antiferromagnetic Potts Models,

Phys. Rev. Lett. 63, 109-112.

Kotecký, Roman (1989): Long range order for antiferromagnetic Potts models,

Phys. Rev. B31, 3088-3092.

Gawedzki, Krzysztof; Kotecký, Roman ; Kupiainen, Antti (1988): Coarse-Graining Approach to First-Order Phae Transitions,

Journ. Stat. Phys. 47 701-724.

Kotecký, Roman ; Preiss, David (1986): Cluster Expansion for Abstract Polymer Models,

Comm. Math. Phys. 103 491-498.

Kotecký, Roman ; Shlosman, Senya (1982): First-order transitions in large entropy lattice models,

Comm. Math. Phys. 83, 493-515.