جست‌وجوی استاد و پژوهشگر

• Mathematical Physics
• Probability Theory
• Stochastic Processes
• +۳ مورد دیگر

Zhengye Zhou is an Assistant Professor in the Department of Mathematics at the University of Southern California Dornsife College of Letters, Arts and Sciences. Their research focuses on advanced mathematical frameworks for stochastic processes and quantum algebra. Research Interests: Interacting particle systems, orthogonal polynomial duality, asymptotic analysis, quantum groups, integrable systems, and non-commutative random surface growth. Their recent work explores asymptotics and duality in dynamic stochastic models, including multi-species asymmetric exclusion processes and higher-spin vertex models. This research intersects probability theory, mathematical physics, and algebraic structures. Zhengye Zhou contributes to theoretical developments in probability, particularly through rigorous analysis of Markov duality, unitary symmetries, and Gaussian fluctuations in stochastic systems. Notable publications span topics like dynamic ASEP, quantum group bialgebras, and boundary-driven exclusion processes.

Laurent Saloff-Costeمشاهده پروفایل

استاد

• Analysis
• Probability Theory
• Stochastic Processes
• +۷ مورد دیگر

Laurent Saloff-Coste is the Abram Rogers Bullis Professor of Mathematics at Cornell University , affiliated with the College of Arts and Sciences . His research focuses on analysis , probability theory , stochastic processes , and their interplay with Riemannian geometry and geometric group theory . He explores heat diffusion on manifolds, random walks on groups (both finite and infinite), and quantitative estimates for ergodic Markov chains. Education: Ph.D. in Mathematics (1983), Université Paris VI Doctorat d'État (1989), Université Paris VI Research Interests: His work bridges analysis and probability, studying properties of heat kernels, potential theory, and functional inequalities. He investigates geometric aspects of large-scale structures, such as Cayley graphs, and the relationship between group algebraic properties and random walk behavior. Key areas include: Heat kernel estimates on manifolds and graphs Isoperimetric profiles and their applications Mixing times of Markov chains Sub-elliptic diffusions on Lie groups Recent Trends in Publications (2023–2025): His recent work emphasizes geometric analysis of heat kernels, long-range random walks on nilpotent groups, and functional inequalities. He explores applications to stochastic processes on discrete and continuous spaces, including studies of Lévy processes on nilpotent groups and transient subgraphs. Notable themes include: Estimates for hitting times and Harnack inequalities Perturbation methods for Dirichlet eigenfunctions Uniform doubling properties in Lie group geometries Awards: 2022 Simons Fellow Advising and Grants: No specific advisees or grant details are listed in the provided materials. His research has been supported by collaborations with institutions like the Institute of Mathematics in Wrocław, Poland, and participation in events such as the Midwest Probability Colloquium. Labs/Teams: No dedicated lab or team is explicitly mentioned, though his work involves interdisciplinary collaborations in geometric analysis and probability.

John Hardingمشاهده پروفایل

استاد

• Quantum Logic
• Orthomodular Lattices
• Fuzzy Sets
• +۴ مورد دیگر

John Harding is a Professor in the Department of Mathematical Sciences at New Mexico State University (NMSU). He has served as Department Head since 2019 and has held faculty roles at NMSU since 1996, progressing from Assistant Professor to Professor. His research bridges Quantum Logic , Orthomodular Lattices , and Category Theory , with a focus on the algebraic foundations of quantum mechanics. Education: Ph.D., M.Sc., and B.Sc. from McMaster University (advisor: G. Bruns) Key research areas: Quantum Logic, Fuzzy Sets, Lattice Theory, Theoretical Physics John's publications span logic, algebra, and quantum structures, including collaborations on Type-2 fuzzy sets and categorical quantum mechanics. Recent talks highlight topics like Quantum Set Cylindric Algebras and Logical Aspects of Quantum Structures . He has received notable awards, including the International Quantum Structures Association Research Award (2000) and the Arts and Sciences Outstanding Faculty Award (2007) . As Principal Investigator for the RTG Grant (2023-2028, $1.38M) and recipient of a US Army Grant (2021-2024, $347K) , he leads research on logic and quantum computing. Professional roles include President of the International Quantum Structures Association (2014-2016) and editorial board memberships.

• Probability Theory
• Mathematical Statistics
• Characterizations of Distributions
• +۷ مورد دیگر

Prof. Dr. hab. Jacek Wesołowski is a faculty member at Warsaw University of Technology, affiliated with the Faculty of Mathematics and Information Science, where he serves as Head of the Department of Probability and Mathematical Statistics. He is actively involved in research and teaching, with a focus on probability theory and mathematical statistics. His research interests include probability theory, mathematical statistics, characterizations of distributions, stochastic processes, survey sampling, multivariate analysis, free probability, and quadratic harnesses . These areas are evident from his extensive publication record in top-tier journals such as the Annals of Probability, Journal of Multivariate Analysis, and Stochastic Processes and their Applications. The trends in his recent publications reveal a strong focus on distributional characterizations (e.g., gamma, Kummer, Wishart), regression properties of order and record statistics , quadratic harnesses and martingale structures , and methodological contributions to survey sampling and imputation . His work often bridges theoretical probability with statistical applications. No scientific awards were mentioned in the provided text. He advises graduate students, as indicated by his organization of probabilistic workshops for PhD and master’s students. He has collaborated extensively with researchers such as W. Bryc, G. Letac, H. Massam, and G. Rempała. While no specific grants are listed, his sustained research output suggests active funding. He teaches core courses such as Probability Calculus I/II and Survey Sampling. There is no mention of specific labs or research teams, but his departmental leadership and collaborative publications suggest an active research group environment.

Dimitri Shlyakhtenkoمشاهده پروفایل

استاد

• Free Probability Theory
• Von Neumann Algebras
• C*-Algebras
• +۶ مورد دیگر

Dimitri Shlyakhtenko is a Professor at the University of California, Los Angeles (UCLA) Department of Mathematics, with a distinguished career in free probability, operator algebras, and von Neumann algebras. He has held leadership roles as Department Chair (2012-2015) and Director of the Institute for Pure and Applied Mathematics (2017-). Ph.D. in Mathematics (1997) from UC Berkeley under Dan-Virgil Voiculescu . B.S. with high distinction from the University of Nevada, Reno (1993). His research spans free probability , von Neumann algebras , C*-algebras , L2-invariants , and Poisson geometry . He has pioneered connections between free probability and random matrix theory, subfactor classifications, and non-commutative transport equations. Recent work includes inequalities for free entropy dimension and duality in non-commutative optimal transport. His 15 most recent publications focus on free entropy dimension, crossed products, non-commutative transport, and classification of von Neumann algebras. Topics include non-microstates free entropy , free group factors , quasi-regular inclusions , and type B free probability , with applications to quantum information and ergodic theory. Scientific Awards : Sloan Foundation Fellowship (2001), NSF Fellowships (1994, 1998), Clay Mathematics Institute award (2002), and Bourbaki Seminar recognition (2004). Organized major conferences at Fields Institute, Oberwolfach, IPAM, and UC Berkeley on quantitative linear algebra, free probability, and von Neumann algebras. He has mentored 12 Ph.D. students, including David Jekel and Max Zhou , with research in free analysis and operator-valued distributions. His work also involves collaborations with leading mathematicians like Alain Connes and Sorin Popa .

Vincent Lafforgueمشاهده پروفایل

پژوهشگر

• Mathematics
• Algebraic Geometry
• Langlands Program
• +۶ مورد دیگر

Vincent Lafforgue is a CNRS Researcher at the Institute Fourier , Université Grenoble Alpes, specializing in Algebraic Geometry and the Langlands Program . His work bridges mathematical physics , K-theory , and non-Archimedean geometry . Notably, he proved the Baum-Connes conjecture for certain discrete groups and established global Langlands correspondence for function fields. Education : Lycée Louis-le-Grand, École normale supérieure, University of Paris Advisor : Jean-Benoît Bost His research spans geometric representation theory , operator algebras , and geometric group theory . Recent publications focus on Shtukas for reductive groups and their role in global Langlands parameterization. Earlier works include proofs of property (T) variants and counterexamples to the Baum-Connes conjecture. Scientific awards include: EMS Prize (2000) CNRS Silver Medal (2015) Breakthrough Prize in Mathematics (2019) Lafforgue served as Plenary Speaker at ICM 2018 and co-organized the 2010 meeting Groups and Large-Scale Geometry . His technical contributions extend to p-adic valuations and automorphic form eigenvalues .

Kurusch Ebrahimi-Fardمشاهده پروفایل

استاد

• Numerical integration methods
• Nonlinear control theory
• Stochastic calculus
• +۱۲ مورد دیگر

Kurusch Ebrahimi-Fard is a Professor in the Department of Mathematical Sciences at the Norwegian University of Science and Technology (NTNU) in Trondheim, Norway. He is an active member of the Differential Equations and Numerical Analysis (DNA) group at IMF-NTNU, with extensive international collaborations across Europe and North America. His research spans a remarkable breadth of mathematical disciplines, focusing on the surprising convergence of algebraic and combinatorial structures across seemingly disparate fields. His work bridges geometric integration methods, nonlinear control theory, rough paths theory, free probability theory, and perturbative quantum field theory. The common thread throughout his research is the central role of algebraic and combinatorial structures on graphs, partitions, and other combinatorial objects. Dr. Ebrahimi-Fard's recent publications reveal strong trends in the application of Hopf algebraic structures to probability theory and stochastic analysis, with significant contributions to understanding signatures in rough path theory and their applications to image analysis. His work consistently demonstrates how abstract algebraic structures can provide powerful tools for concrete problems in numerical analysis and mathematical physics. Juan de la Cierva fellowship Ramón y Cajal fellowship Fellow of the Studienstiftung des Deutschen Volkes Fellow of the Evangelisches Studienwerk e.V. Fellow of the German Academic Exchange Service (DAAD) Fellow of the European Post-Doctoral Institute (EPDI) Throughout his career, Dr. Ebrahimi-Fard has organized numerous international conferences and workshops, including the 18th Santaló Summer School on Algebraic and Combinatorial Methods in Stochastic Calculus. His editorial work includes special issues on theoretical and computational aspects of dynamical systems, non-commutative algebra, and algebraic structures in perturbative quantum field theory. He has also secured research funding through various grants including the BBVA Foundation Research Grants. Dr. Ebrahimi-Fard maintains active collaborations with researchers worldwide and participates in several research networks focused on the intersection of algebra, combinatorics, and mathematical physics. His work with the DNA group at NTNU continues to explore fundamental mathematical structures with applications across scientific disciplines.

Daniele Ettore Oteraمشاهده پروفایل

عضو هیئت علمی

• Geometric Group Theory
• Low-dimensional Topology
• Geometric Topology
• +۳ مورد دیگر

Dr. Daniele Ettore Otera is a Senior Researcher at the Institute of Data Science and Digital Technologies (DMSTI) and the Faculty of Mathematics and Informatics of Vilnius University , Lithuania. His work is centered on geometric group theory, low-dimensional topology, and group theory, with a focus on asymptotic topology and topological tameness of groups and manifolds. Education: He earned a Mathematics degree from the University of Palermo (1999), a DEA (Master’s) from Université Paris-Sud 11 (2001), and a co-tutored PhD from both University of Palermo and Université Paris-Sud 11 (2006). Research Interests: Geometric group theory: quasi-isometries, ends of groups, lattices in Lie groups Low-dimensional topology: topological tameness, simple connectivity at infinity, geometric simple connectivity Group theory: subgroup permutability, commutativity degrees, probability in group theory Publications: His recent work spans graph theory, spectral invariants, group actions, and geometric topology, reflecting a deep interdisciplinary approach combining algebra, topology, and combinatorics. Labs & Teams: He is affiliated with the Interdisciplinary Statistical Research Group within DMSTI, contributing to collaborative research in mathematical sciences.

Sarada G. Rajeevمشاهده پروفایل

استاد

• High-Energy Physics
• String Theory
• Nonlinear Optics
• +۵ مورد دیگر

Sarada G. Rajeev is a Professor in theoretical physics, focusing on problems arising from high-energy physics and related fields. Her research spans interdisciplinary areas such as string theory , nonlinear optics , and quantum information theory . Research Interests: High-Energy Physics String Theory Nonlinear Optics Hydrodynamics Quantum Information Theory Non-Commutative Geometry Probability Theory Theoretical Condensed-Matter Physics

• Mathematical Physics
• Quantum Mechanics
• General Relativity
• +۶ مورد دیگر

Dr. Attila Andai is an Associate Professor at the Department of Geometry, Budapest University of Technology and Economics (BME). His academic career focuses on mathematical physics, particularly the differential geometry of finite-dimensional quantum state spaces and generalized uncertainty relations. Research areas include quantum mechanics, general relativity, functional analysis, and operator algebras Teaches Computational Methods in Physics and Vector Spaces in Physics for MSc students Research trends from his publications show expertise in: Quantum state space geometry Entanglement and separability probability Uncertainty principles with geometric interpretations Mathematical structures in Gödel-type universes His work combines abstract mathematical frameworks (tensor products, exterior algebras) with concrete applications in quantum information and relativistic physics.