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 Publications:

Kotecký, Roman; Lees, B. (2019): Staggered Long-Range Order for Diluted Quantum Spin Models, Journal Of Statistical Physics, 175(5): 972–986

Kotecký, Roman; Sokal, Alan D.; Swart, Jan M. (2014): Entropy driven phase transition in low-temperature antiferromagnetic Potts models, Commun. Math. Phys., 330: 1339-1394

Kotecký, Roman; Luckhaus, Stephan (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

Kotecký, Roman; Salas, José; Sokal, Alan 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, Jennifer. T.; Kotecký, Roman (2004): Partition function zeros at first-order phase transitions: Pirogov-Sinai theory, Jour. Stat. Phys., 116: 97-155

Biskup, Marek; Chayes, Jennifer T.; Kotecký, Roman (2003): Critical region for droplet formation in the two-dimensional Ising model, Commun. Math. Phys., 242: 137-183

Biskup, Marek; Chayes, Jennifer T.; Kotecký, Roman (2002): On the formation/dissolution of equilibrium droplet, Europhys. Letters, 60: 21-27

Chayes, Jennifer 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 B. (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 B. (1982): First-order transitions in large entropy lattice models, Comm. Math. Phys. 83, 493-515