جستجوی استاد راهنمای دانشگاهی

Duong Dinh is a visiting faculty member at the University of Pennsylvania , affiliated with the School of Arts and Sciences and working within the Department of Mathematics . He is also set to join the University of Khanh Hoa as a faculty member on leave. His research bridges algebraic geometry , differential geometry , and mathematical physics , with a focus on moduli spaces, Langlands correspondence, and geometric structures arising from quantum theories. PhD in Mathematics (2023), MSc in Mathematical Physics (2019), both from the University of Hamburg His work explores the analytic Langlands correspondence , revisiting Drinfeld's and Beilinson-Drinfeld's approaches to explicitly connect geometric and analytic frameworks. He investigates moduli of Higgs bundles , flat/projective connections, and their stratifications, integrating tools like non-abelian Hodge theory, Fourier-Mukai transforms, and conformal field theories. Recent projects involve wobbly bundles, Schramm-Loewner evolution, and geometric interpretations of the Verlinde formula. The publications highlight advancements in PSL(2,C)-opers, stratification techniques, and quantum separation of variables in Hitchin systems. These works span algebraic geometry , differential equations , and mathematical physics , emphasizing explicit constructions and interdisciplinary links. Postdoc fellowship at Max Planck Institute for Mathematics Short-term fellowship at Oberwolfach Research Institute for Mathematics His collaborations with Ron Donagi and Tony Pantev at Penn, and his supervision under Jörg Teschner during his PhD, underscore his engagement with leading experts in geometric and analytic approaches to moduli problems.

• Algebraic Geometry
• Differential Geometry
• Geometric Langlands Correspondence
• +۷ مورد دیگر

Yvan SAINT AUBIN is a Professor in the Department of Mathematics and Statistics at the University of Montreal, affiliated with the Faculty of Arts and Science. His research focuses on statistical physics, conformal field theory, and critical phenomena, with a particular emphasis on lattice models and their connection to continuous field theories. He has contributed significantly to understanding the mathematical foundations of two-dimensional models like the Ising model and loop models, leveraging tools from algebraic structures and stochastic processes. Research Interests: Statistical physics and critical phenomena Conformal field theory and logarithmic theories Lattice models (Ising, loop models) Algebraic methods in mathematical physics Monte Carlo simulations Boundary states and phase transitions Grants & Projects: Lead researcher for Algebraic methods for lattice models of statistical physics (2019–2026, NSERC) Core member of the Centre de recherches mathématiques (CRM) strategic research group (2022–2029, FRQNT) Recipient of MITACS and IVADO grants for computational and data-driven projects Labs/Teams: Active contributor to the CRM's interdisciplinary research initiatives and collaborates widely with mathematicians and physicists in Canada and internationally.

• Statistical Physics
• Conformal Field Theory
• Critical Phenomena
• +۶ مورد دیگر

Juhan Aru is an Associate Professor in the Department of Mathematics at the École Polytechnique Fédérale de Lausanne (EPFL), affiliated with the Random Geometry (RGM) group. His research focuses on random geometry, Gaussian Free Fields (GFF), and stochastic processes , with applications to statistical mechanics and mathematical physics. He teaches courses such as Analysis IV, Probability, Gaussian Processes, and Introduction to Random Geometry. Affiliations: SB MATH RGM (Random Geometry Group) EDMA - Enseignement (Mathematics Education) SMA - Enseignement (Mathematics Teaching) His research investigates critical phenomena in 2D statistical physics, including SLE processes, Liouville quantum gravity, and multiplicative chaos. Recent work explores the interplay between GFF properties and geometric/topological structures like excursion decomposition and thick points. He advises PhD students including Philémon Bordereau and Han Xiao, and has directed Guillaume Charles Woessner's thesis. His lab's website is https://www.epfl.ch/labs/rgm/ .

• Probability Theory
• Random Geometry
• Statistical Mechanics
• +۳ مورد دیگر

Joan Lind is an Associate Professor of Mathematics and serves as Associate Head for Math Majors and Minors and Director of the Math Honors Program at the University of Tennessee, Knoxville. She holds a Ph.D. in Mathematics from the University of Washington. Her research focuses on complex analysis, probability, and geometric function theory, particularly exploring Loewner theory, stochastic processes, and conformal mappings. Her academic roles include leading undergraduate and honors programs in mathematics. Lind's work bridges analysis and probability, addressing topics such as phase transitions in Loewner hulls, modulus convergence, and SLE trace regularity. She collaborates with researchers like Steffen Rohde and Nikolai Albin on projects involving geometric and probabilistic methods. Lind's research has been published in journals like Duke Math. J., Indiana Univ. Math. J., and Mathematische Annalen. She contributes to advancing understanding of Loewner equations, fractal geometry, and stochastic dynamics. Her teaching and mentorship roles reflect her commitment to both research and academic leadership.

• Analysis
• Complex Analysis
• Probability

Dmitry Belyaev is a Professor of Mathematics at the University of Oxford and a Tutorial Fellow at St. Anne's College. His research focuses on the intersection of analysis and probability, particularly Gaussian fields, critical phenomena, and Schramm-Loewner Evolution (SLE). He has made significant contributions to understanding the geometry of random functions, including work on zeros of random plane waves and Diffusion-Limited Aggregation models. His teaching includes advanced courses such as Metric Spaces, Complex Analysis, and Continuous Martingales. Research Interests: Geometry of Gaussian fields and critical points Stochastic processes in complex systems SLE and conformal maps Random fractals and percolation theory Harmonic measure and multifractal analysis Publications highlight studies on nodal domains, excursion sets, and critical point correlations in Gaussian fields. His work often bridges probability theory with geometric analysis, addressing questions about universality, continuity, and phase transitions. Supervised students include notable researchers in stochastic processes and mathematical physics.

• Probability Theory
• Mathematical Physics
• Analysis
• +۵ مورد دیگر

Avelio Sepúlveda is an Assistant Professor in the Department of Mathematics at Universidad de Chile, where he has been affiliated since 2021. He previously held a Chair CMM–CNRS fellowship (2020–2021) and completed postdoctoral work at Université Lyon 1 (2017–2020). His education includes a PhD from ETH Zürich (supervised by Wendelin Werner), a Master's from Université d'Orsay, and an Engineering degree from Universidad de Chile. His research centers on probability theory and statistical physics , with emphases on Gaussian free fields, random planar maps, percolation theory, and topological phase transitions. Key investigations include the structure of 2D Gaussian free fields, scaling limits of decorated planar maps, and dynamic conditioning of Markov processes ( myopic conditioning ). His publications (2020–2025) predominantly explore probabilistic geometry, phase transitions, and field theory, with recurring themes in conformal invariance, scaling limits, and lattice models. Notable methodological contributions include novel algorithms for myopic processes and combinatorial characterizations of Markov properties in planar maps. Awards & Service: Chair CMM–CNRS of Excellence for Young Researchers (2020–2021) Associate Editor: Electronic Journal of Probability and Electronic Communications in Probability Advising & Collaborations: He mentors six PhD/Master's students (Pablo Araya, Paul Cahen, Damian Cid, Felipe Espinosa, Pablo Zúñiga, Tomás Laengle) and collaborates extensively with researchers globally, including Christophe Garban (ERC Vortex). He co-organizes the Seminario de Probabilidades de Chile and workshops (e.g., 2025 Topological Phase Transition workshop).

• Probability Theory
• Statistical Physics
• Random Geometry
• +۵ مورد دیگر

Maxim Kontsevich is a Permanent Professor at the Institut des Hautes Études Scientifiques (IHÉS) since 1995. He has held visiting positions at institutions including the University of California at Berkeley (1993-1995), Harvard University (1991-1992), and the Max-Planck-Institut für Mathematik (1993-1994). His work bridges mathematics, physics, and geometry, with a focus on string theory, quantum field theory, and non-commutative geometry. His research spans topics such as homological mirror symmetry, deformation quantization, and motivic Donaldson-Thomas invariants. Recent publications include groundbreaking work on WDVV equations, non-archimedean analytic spaces, and the interplay between algebraic geometry and quantum field theory. Fields Medal (1998) Henri Poincaré Prize (1997) Crafoord Prize (2008) Shaw Prize in Mathematical Sciences (2012) Fundamental Physics Prize (2012)

• Mathematics
• Quantum Field Theory
• Algebraic Geometry
• +۵ مورد دیگر

Amanda Turner is a Senior Lecturer in Mathematics and Statistics at Lancaster University. Her research focuses on Probability, particularly using conformal mappings and Schramm-Loewner Evolution (SLE) to study random growth processes. She teaches undergraduate and master’s courses in Probability, Measure Theory, and Stochastic Processes. Her research includes projects on regularized Hastings-Levitov clusters, as detailed in collaborations with Alan Sola and Fredrik Johansson Viklund. Simulations of these clusters, parameterized by α and σ values, explore small particle limits in Laplacian random growth models. These studies are documented in her publications and simulations pages. Turner is actively involved in supervising PhD students and welcomes applications from candidates with backgrounds in Probability, Real or Complex Analysis, or Mathematical Physics. Her work also involves analyzing harmonic measure flows and capacity sequences in growth models.

• Probability
• Mathematical Analysis
• Stochastic Processes
• +۴ مورد دیگر

Dapeng Zhan is a Professor in the Department of Mathematics at Michigan State University (MSU), where he has held this position since 2017. He earned his Ph.D. in Mathematics from the California Institute of Technology in 2004. His research focuses on Schramm-Loewner evolution (SLE), a stochastic process describing random fractal curves in two-dimensional spaces, with applications to critical phenomena in statistical physics models like percolation and the Ising model. Zhan has held prior academic positions, including Gibbs Assistant Professor at Yale University (2007–2009) and Morrey Assistant Professor at UC Berkeley (2004–2007). His research interests include Probability Theory, SLE, and statistical lattice models. He has received prestigious awards such as the Salem Prize (2012), Sloan Research Fellowship (2011–2015), and Simons Fellowship (2016). His work frequently appears in top journals like *Annals of Probability* and *Inventiones Mathematicae*. Zhan teaches advanced courses in probability and analysis, including *Brownian Motion and Stochastic Analysis* and *Analysis I*. He has advised numerous research projects and holds grants from the NSF, including a CAREER award (2011–2018). His contributions span theoretical developments in SLE's reversibility, duality, and boundary behavior, with recent work exploring multi-force-point SLE and boundary Green’s functions.

• Probability Theory
• Schramm-Loewner evolution (SLE)
• Statistical Lattice Models
• +۳ مورد دیگر

Hugo Duminil-Copin is a full professor at the University of Geneva (since 2013) and a permanent professor at the Institut des Hautes Études Scientifiques (IHES) in Bures-Sur-Yvette (since 2016). A 2022 Fields Medalist, his research lies at the intersection of probability theory, mathematical physics and combinatorics, with a focus on critical phenomena in lattice models. Education: École Normale Supérieure (ENS), Paris PhD, Université Paris-Saclay Research Interests: Duminil-Copin's work centers on probability theory and statistical physics , particularly the rigorous study of critical phenomena. He uses probabilistic methods to analyze classical lattice models—Ising, Potts, percolation, self-avoiding walks—shedding light on phase transitions and universality. A major breakthrough is his development of dependent percolation theory , which has yielded precise results on critical exponents and scaling limits. His research spans several subfields: Critical percolation and random-cluster models Conformal invariance and Schramm–Loewner evolution Mathematical theory of phase transitions Discrete geometry and combinatorial enumeration Random walks and polymers Scientific Awards & Honors: Fields Medal (2022) Dobrushin Prize (2019) European Mathematical Society Prize (2016) New Horizons in Mathematics Prize (2017) Loève Prize (2017) Jacques Herbrand Grand Prize (2017) ERC Starting Grant “CriBLaM” (2017–2022) Member, French Academy of Sciences Member, Academia Europaea Supervision & Grants: He leads an active research group comprising postdoctoral fellows and doctoral students in Geneva and at IHES. Since 2013 he has supervised 15+ PhD students and mentored numerous postdocs. The ERC Starting Grant “Critical Behavior of Lattice Models” (€1.5 M) supports his team’s work on scaling limits and critical phenomena. Research Group: At the University of Geneva he heads the “Analysis, Mathematical Physics and Probability” group, collaborating closely with colleagues such as Antti Knowles, Stanislav Smirnov, Vincent Vargas and Yvan Velenik.

• Probability Theory
• Mathematical Physics
• Statistical Physics
• +۴ مورد دیگر

Yilin Wang is an Associate Professor of Mathematics at ETH Zurich, conducting research at the interface of complex analysis and probability theory. Previously, she served as Junior Professor at the Institut des Hautes Études Scientifiques (IHES) from 2022, following postdoctoral positions as a CLE Moore Instructor at MIT and Strauch Postdoctoral Fellow at MSRI. Her educational background includes: Master of Science in Probability and Statistics from the University of Paris-Saclay PhD from ETH Zurich (2019) supervised by Fields Medalist Wendelin Werner Wang's research centers on profound connections between random conformal geometry , geometric function theory , and Teichmüller theory , utilizing tools like Loewner energy, Schramm-Loewner evolutions, Gaussian free field, and Weil-Petersson Teichmüller space. Her work bridges mathematical physics with deep theoretical explorations of hyperbolic surfaces, 3-manifolds, and Brownian loop measures. She has received significant recognition: New Frontiers Maryam Mirzakhani Prize (2022) ERC Starting Grant (2023) for "Connecting Random Conformal Geometry and Teichmüller Theory" (RaConTeich) Salem Prize (2024) As Principal Investigator of the €1.5M ERC Starting Grant under Horizon Europe, Wang leads the RaConTeich project while mentoring graduate students at ETH Zurich. She serves as editor for the Bulletin and Journal of the London Mathematical Society, contributing to scholarly dissemination in mathematical sciences.

• Complex Analysis
• Probability Theory
• Random Conformal Geometry
• +۳ مورد دیگر

Maxim Kontsevich is a permanent professor at the Institut des Hautes Études Scientifiques (IHÉS) in France since 1995, holding the AXA Chair for Mathematics. He is also a Chair holder at Rutgers University, New Brunswick, USA, since 1997, visiting one month per year. Education: Ph.D., University of Bonn, March 1992 Research Interests: Maxim Kontsevich is renowned for his profound contributions bridging mathematics and theoretical physics. His work encompasses algebraic geometry, non-commutative geometry, symplectic geometry, homological algebra, and mathematical physics. He introduced revolutionary ideas such as motivic integration, stability structures, and deformation quantization, profoundly impacting fields like mirror symmetry, topological quantum field theory, and the theory of moduli spaces. Awards and Honors: Fields Medal (1998) Crafoord Prize (2008) Shaw Prize in Mathematical Sciences (2012) Breakthrough Prize in Mathematics (2014) AMS Moore Prize (2025) Frontiers of Science Award (2025) Otto Hahn Medal (1992) Henri Poincaré Prize (1997) Doctor Honoris Causa from Aarhus University (2014), University of Vienna (2015), and Syddansk University (2023) Member of the Académie des Sciences de Paris, Academia Europaea, Foreign Member of the National Academy of Sciences, and Honorary Member of the London Mathematical Society Grants and Leadership: Principal Investigator of the ERC Synergy Grant "Recursive and Exact New Quantum Theory (ReNew Quantum)" (2019–present) Editorial Service: He serves on the editorial boards of leading journals including Compositio Mathematica , Publications Mathématiques de l'IHÉS , Letters in Mathematical Physics , and Journal of Noncommutative Geometry . Recent Recognition: In 2024, IHES hosted a major conference "Mathematics on the Crossroad of Centuries" to celebrate his 60th birthday and his far-reaching contributions to mathematics and physics.

• Algebraic Geometry
• Mathematical Physics
• Non-commutative Geometry
• +۷ مورد دیگر

Dmitry Chelkak is the Keeler Professor of Mathematics at the University of Michigan's College of Literature, Science, and the Arts (LSA). His primary affiliation is within the Department of Mathematics, focusing on Probability Theory, Mathematical Physics, and Analysis. Chelkak holds a Ph.D. from the PDMI RAS (2003). His research interests center on critical phenomena in statistical physics, including the Ising model, dimer models, and conformal invariance. He has made significant contributions to understanding spin correlations, universality in lattice models, and the interplay between discrete and continuous systems. His work often employs advanced techniques from complex analysis and discrete geometry. Recent articles highlight investigations into universality in the Ising model on isoradial graphs, dimer models on planar graphs, and the application of tau-functions to cylindrical event probabilities. His studies frequently bridge combinatorial structures with probabilistic and geometric frameworks. No scientific awards are explicitly listed in the provided texts. Chelkak's advising record and grants are not detailed here, but his research has explored foundational topics in statistical mechanics and mathematical physics.

• Mathematical Physics
• Probability Theory
• Statistical Mechanics
• +۳ مورد دیگر

Steffen Rohde is a Professor of Mathematics at the University of Washington, affiliated with the College of Arts & Sciences and the Department of Mathematics. He earned his PhD from Technische Universität Berlin in 1989 and has held academic positions at institutions including TU Berlin, UC San Diego, and the University of Michigan. His research focuses on complex analysis, probability, and geometric function theory, with notable contributions to Schramm-Loewner Evolution (SLE), conformal mappings, and random planar maps. Education: PhD, Technische Universität Berlin, 1989 Habilitation in Mathematics, TU Berlin, 1996 Diplom (Master's equivalent), TU Berlin, 1987 Research Interests: Complex Analysis Probability Theory (including SLE) Geometric Function Theory Conformal Invariance Random Planar Maps His work bridges classical analysis with modern probabilistic methods, emphasizing applications in stochastic geometry and mathematical physics. Awards & Recognition: Robert B. Warfield Jr. Faculty Fellow (2014) Eisenbud Professorship, MSRI (2012) Continuous NSF Support since 1998 Advising & Grants: Supervised PhD students including Daniel Meyer and Joan Lind Directed NSF-funded research projects on geometric function theory Supported postdoctoral researchers such as Jim Gill and Brent Werness Teaching & Service: Taught courses on complex analysis, probability, and geometric group theory. Served on NSF panels, departmental committees, and organized conferences like the Ahlfors-Bers Colloquium.

• Complex Analysis
• Probability
• Geometric Function Theory
• +۴ مورد دیگر

Seung-Yeop Lee is Associate Professor and Associate Chair for Graduate Affairs at the University of South Florida's Department of Mathematics & Statistics. He holds a PhD in Physics from the University of Chicago (2007) and degrees from Seoul National University. Research focuses on mathematical physics including random matrix theory, orthogonal polynomials, and complex analysis. Recent publications examine harmonic polynomials, quadrature domains, and asymptotic behavior of orthogonal polynomials.

• Random Matrix Theory
• Complex Analysis
• Orthogonal Polynomials
• +۳ مورد دیگر