معرفی
Alexander Glazman is an Associate Professor at the University of Innsbruck, leading the FWF-funded project on Order-disorder phase transitions in 2D lattice models. His research focuses on the intersection of Probability Theory and Mathematical Physics, particularly studying phase transitions and critical phenomena in models like the Loop O(n), Six-Vertex, Ashkin-Teller, and Ising models.
Education:
- PhD in Mathematics, University of Geneva (2016), supervised by Stanislav Smirnov.
- Candidate of Physico-Mathematical Sciences, St. Petersburg State University (SPbU) and PDMI (under Dmitry Karpov).
- Master's degree in Mathematics, St. Petersburg.
Research Interests: Glazman investigates statistical mechanics models, emphasizing rigorous analysis of phase transitions, loop models, and critical phenomena. Key areas include:
- Loop O(n) and Six-Vertex models on hexagonal/triangular lattices.
- FK-percolation, Ashkin-Teller model, and their connections to random-cluster representations.
- Height functions, interface fluctuations, and conformal invariance.
- Self-avoiding walks and their universality.
Recent Work Trends: His articles address interface convergence in Potts models, delocalization in Lipschitz functions, and phase diagrams of Ashkin-Teller and six-vertex models. Collaborations emphasize techniques like coupling methods, renewal theory, and Benjamini-Schramm limits.
Grants & Projects: Principal Investigator (PI) of FWF Stand-Alone Grant P 34713 (€399k), studying 2D lattice models' phase transitions.
Labs/Teams: Active in the Department of Mathematics at Innsbruck, contributing to probabilistic and mathematical physics research groups.
