جست‌وجوی استاد و پژوهشگر

• Functional Analysis
• Artificial Intelligence
• Foundations of Computational Mathematics
• +۱۵ مورد دیگر

Professor Anders C. Hansen is a mathematician at the University of Cambridge and University of Oslo, leading the Applied Functional and Harmonic Analysis group. His work bridges functional analysis, artificial intelligence, and computational mathematics, focusing on the Solvability Complexity Index (SCI) hierarchy and stability issues in deep learning. He has held prestigious fellowships, including a Royal Society University Research Fellowship and Peterhouse Bye-Fellowship. Educated at the University of Cambridge, UC Berkeley, and the Norwegian University of Science and Technology Developed groundbreaking theories in compressed sensing and deep learning, revealing algorithmic instability paradoxes Organized workshops on computational mathematics and AI interpretability His research explores the SCI hierarchy , exposing computational barriers in AI, quantum mechanics, and inverse problems. Key projects include Smale’s 18th problem and analyzing neural network stability. His work has transformed understanding of compressed sensing, particularly in medical imaging. Recent scientific awards include the Whitehead Prize (2019), IMA Prize (2018), and Leverhulme Prize (2017). Collaborations span institutions like Caltech, MIT, and the University of Vienna. As an educator, he teaches NST Part IA Mathematical Methods , Part II Numerical Analysis , and a Part III course on Compressed Sensing . His group has mentored 17 PhD and postdoctoral researchers since 2012.

Alexey Gorshkovمشاهده پروفایل

استاد مدعو

• Quantum Optics
• Quantum Information Science
• Condensed Matter Physics
• +۶ مورد دیگر

Alexey Gorshkov is an Adjunct Professor at the University of Maryland (UMD) affiliated with the Joint Quantum Institute (JQI) and the Quantum Information and Computer Science Laboratory (QuICS). His primary academic role is in theoretical physics, focusing on quantum optics, quantum information science, and condensed matter physics. He leads a research group exploring quantum magnetism with alkaline-earth atoms, driven-dissipative systems, topological matter, and strongly interacting photons. His work bridges AMO (atomic, molecular, and optical) systems with high-energy and condensed matter physics, emphasizing quantum simulation and novel quantum technologies like precise clocks and quantum computers. Education details are not explicitly listed, but his research collaborations with institutions like JQI and UMD suggest advanced academic training in theoretical physics. His research interests revolve around understanding and controlling quantum many-body systems, particularly in far-from-equilibrium scenarios, entanglement dynamics, and dissipation effects. He has contributed to studies on Rydberg atoms, quantum routing protocols, and error mitigation in quantum simulators. Recent articles highlight his work on quantum protocols for verifying speedups, time-independent information flow, and entanglement dynamics. His group's achievements include demonstrating one-dimensional anyons and developing methods for correlated noise estimation with quantum sensors. Awards and grants are not explicitly mentioned in the provided text, but his prolific publication record indicates sustained research impact. Labs and teams associated with him include the JQI and QuICS, where he collaborates on experimental and theoretical projects. Graduate student and postdoc positions are available in his group, focusing on areas like quantum magnetism and topological systems. His work often involves close ties with experimental groups, emphasizing practical applications of theoretical breakthroughs.

Kurt Johanssonمشاهده پروفایل

استاد

• Probability Theory
• Mathematical Physics
• Random Matrix Theory

Kurt Johansson is a Full Professor of Mathematics at KTH Royal Institute of Technology, Sweden. His academic journey includes roles as Associate Professor at KTH (1993-2001) and Uppsala University (1988-1993), alongside research funded by the Swedish Natural Science Research Council (1998-2003). His primary affiliations are within the Department of Probability, Mathematical Physics & Statistics at KTH, where he also coordinates courses on Differential Equations and Fourier Analysis. Education: BSc in Physics (1982) and PhD in Mathematics (1988), both from Uppsala University. Research interests focus on Probability Theory , Mathematical Physics , and Random Matrix Theory , with contributions to stochastic models, determinantal processes, and universality in statistical mechanics. Key Awards: Wallenberg Prize (1995), Rollo Davidson Prize (2000), Göran Gustafsson Prize (2002), Fellow of the American Mathematical Society (2012), and multiple Wallenberg Scholar grants (2011-2023). Grants: Major funding from the Swedish Research Council (VR), K&A Wallenberg Foundation, and others. His research group explores Random Matrices, Stochastic Models, and Analysis , with notable work on the Arctic Circle Theorem and KPZ universality class. Recent publications analyze Brownian directed percolation and domino tilings of the Aztec diamond, reflecting his focus on interdisciplinary applications of probability and mathematical physics.

Peter McGrathمشاهده پروفایل

استادیار

• Geometric Analysis
• Minimal Surfaces
• Partial Differential Equations
• +۳ مورد دیگر

Peter McGrath is an Assistant Professor in the Department of Mathematics at North Carolina State University (NC State), part of the College of Sciences. His research focuses on geometric analysis, minimal surfaces, and partial differential equations. He holds a PhD in Mathematics from Brown University (2017). His expertise spans Ordinary Differential Equations, Partial Differential Equations and Analysis, and Topology, Geometry, and Mathematical Physics research groups. McGrath’s work explores advanced topics such as spectral geometry, free boundary problems, and geometric flows. His recent research emphasizes minimal surface constructions, topological asymptotics, and applications of eigenvalue optimization. Notable contributions include studies on free boundary minimal surfaces in the unit ball and advancements in understanding the Canham problem in biomembrane modeling. McGrath is affiliated with NC State’s Department of Mathematics, located at 2108 SAS Hall, Raleigh, NC. His contact information includes pjmcgrat@ncsu.edu and office SAS Hall 3248.

Jan de Gierمشاهده پروفایل

استاد

• Mathematical Physics
• Statistical Mechanics
• Solvable Lattice Models
• +۳ مورد دیگر

Jan de Gier is a Professor at the School of Mathematics and Statistics, The University of Melbourne . He is also the Founding Director of MATRIX , Australia’s residential research institute in the mathematical sciences, and a former Deputy Director and Chief Investigator in the Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS) . Additionally, he co-founded the Australian and New Zealand Association for Mathematical Physics (ANZAMP) in 2011 and served as its inaugural Chair. His research focuses on solvable lattice models at the intersection of mathematical physics and statistical mechanics . Key areas include the application of quantum integrability , algebraic structures like the Yang-Baxter equation, Hecke algebras, and quantum groups, as well as analytical methods such as complex analysis and elliptic curves. His work bridges pure and applied mathematics through connections between enumerative combinatorics , representation theory , and real-world phenomena like traffic flow modeling via exclusion processes . The 15 most recent articles reflect his expertise in integrable systems , non-equilibrium statistical mechanics , and algebraic combinatorics . Topics span Macdonald polynomials , stochastic duality , quantum spin chains , and traffic modeling , with methodologies involving matrix product forms , exact solutions , and critical phenomena analysis. He has contributed to editorial efforts through the AustMS Gazette and MATRIX Annals, and has been involved in public science communication via opinion pieces on mathematics funding and applications. His work emphasizes the importance of fundamental research in driving technological innovation, as highlighted in media articles discussing pi calculation , zero-knowledge proofs , and mathematics education .

Laurens Lootensمشاهده پروفایل

پژوهشگر

• Quantum Physics
• Theoretical Physics
• Condensed Matter Theory
• +۳ مورد دیگر

Laurens Lootens is a Researcher in the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge. His work focuses on theoretical physics, particularly in quantum lattice models, topological phases of matter, and mathematical structures underlying quantum systems. He is affiliated with the High Energy Physics research group within DAMTP. His research interests include dualities in quantum systems, matrix product operator symmetries, conformal field theories, and tensor network methods. Lootens explores topics such as entanglement in many-body systems, symmetry-protected topological phases, and the interplay between algebraic structures and physical phenomena. Publications highlight his contributions to understanding lattice representations of dualities, topological sectors in quantum models, and critical lattice models for conformal field theories. His work bridges theoretical frameworks with computational methods, advancing both fundamental physics and quantum information science.

David Fisherمشاهده پروفایل

استاد

• Geometric Rigidity Theory
• Dynamical Systems
• Geometric Group Theory
• +۳ مورد دیگر

David Fisher is the Milton B. Porter Professor of Mathematics at Rice University, specializing in geometric rigidity theory, dynamical systems, and geometric group theory. His research explores lattice actions, superrigidity, quasi-isometric embeddings, and the Zimmer program, with collaborations spanning institutions like the University of Chicago and Stanford University. B.S., Columbia University Ph.D., University of Chicago (1999) His work focuses on the interplay between group actions, Lie groups, and topology. Key contributions include advancements in Zimmer's conjecture, rigidity of warped cones, and quasi-isometric rigidity of solvable groups. His publications highlight collaborations with leading mathematicians such as Alex Eskin, Gregory Margulis, and Shmuel Weinberger. Fisher’s research intersects coarse geometry, harmonic maps, and measure rigidity, often addressing fundamental questions in non-uniform lattices and affine actions. He maintains active engagement in the mathematical community through publications and academic leadership.

Alireza Salehi Golsefidyمشاهده پروفایل

استاد

• Algebra
• Number Theory
• Combinatorics
• +۴ مورد دیگر

Alireza Salehi Golsefidy is a Professor in the Department of Mathematics at the University of California, San Diego (UCSD). He received his Ph.D. from Yale University under Gregory Margulis, a Fields Medalist. His research focuses on algebraic, arithmetic, and analytic properties of linear groups, homogeneous dynamical systems, and expander graphs. He has held positions at Princeton University and the Institute for Advanced Study as a Veblen Research Instructor before joining UCSD in 2011. Education: Ph.D. in Mathematics, Yale University (2006). Research Interests: His work bridges discrete subgroups of Lie groups, homogeneous dynamics, and number theory. Recent contributions include studies on super-approximation, spectral independence, and geometric group theory. He has organized workshops on thin groups, arithmetic groups, and homogeneous dynamics at MSRI and Oberwolfach. Grants & Awards: Alfred P. Sloan Research Fellowship (2012), Clay Liftoff Award (2006), NSF grants 1602137, 1902090, and 2302519. His research explores applications of expander graphs and random walks in algebraic structures. Teaching: Currently teaching Algebra (Math 200C) in Spring 2025. Past courses include advanced algebraic topology, representation theory, and graduate-level number theory. Labs/Teams: Co-organizes UCSD's Algebra Seminar and contributed to the 2013 Lie Theory Workshop. Active in collaborative projects on group actions and automorphic forms.

Sourav Sarkarمشاهده پروفایل

دانشیار

• Probability Theory
• KPZ Universality Class
• Random Growth Models
• +۱۰ مورد دیگر

Sourav Sarkar is a University Associate Professor in Probability at the Department of Pure Mathematics and Mathematical Statistics (DPMMS), University of Cambridge (since July 2024) and a Fellow of Trinity Hall. Previously, he held positions as an Assistant Professor at DPMMS (2021–2024), Postdoctoral Fellow at the University of Toronto (2019–2021), and completed his Ph.D. in Statistics at UC Berkeley (2019) under Prof. Alan Hammond. His education includes a BSc (2013) and MSc (2015) in Statistics from the Indian Statistical Institute, Kolkata, advised by Prof. Parthanil Roy. Research Interests : Probability theory with a focus on KPZ universality class, random growth models (e.g., last passage percolation, exclusion processes), Coulomb gas, and percolation theory. His work bridges stochastic processes, mathematical physics, and statistical mechanics. Teaching : Teaches advanced courses in Probability and Stochastic Calculus at the University of Cambridge, including Part II courses on Applied Probability and Probability & Measure. Previously taught at UC Berkeley, where he received the Outstanding Graduate Student Instructor Award (2019). Publications : Focuses on KPZ fixed point, geodesic properties, and phase transitions in interacting particle systems. Recent work includes studies on the directed landscape, stable random fields, and competitive erosion dynamics. Awards : Recognized for exceptional teaching at Berkeley and sustained contributions to probability theory research.

Gert-Martin Greuelمشاهده پروفایل

استاد

• Singularity Theory
• Computer Algebra
• Algebraic Geometry
• +۳ مورد دیگر

Prof. Gert-Martin Greuel is a distinguished mathematician and Emeritus Professor at RPTU Kaiserslautern, where he previously held a Professorship in the Department of Mathematics. His career includes roles as Director of the Mathematisches Forschungsinstitut Oberwolfach (2002-2013) and as editor of major journals like Zentralblatt MATH. He co-founded the Singular computer algebra system and led the Center for Computer Algebra at Kaiserslautern. Research Interests: His work focuses on singularity theory, algebraic geometry, and computational algebra. Key contributions include foundational studies on hypersurface singularities, equisingularity, and the development of mathematical software tools like Singular and swMATH. Awards: Greuel received the Richard D. Jenks Prize (2004) for Singular, an honorary doctorate from Leibniz University Hannover (2009), and the German Mathematical Society's Media Prize (2013). He pioneered public math exhibitions through the IMAGINARY project. Leadership & Outreach: He served as Chair of European Research Centres on Mathematics (2010-2013) and championed open-access initiatives for mathematical software and publications. His editorial roles span Oberwolfach Reports, Revista Matemática Complutense, and Ergebnisse series. Education: PhD (1973) and Habilitation (1980) from University of Göttingen and Bonn, respectively. His academic journey includes professorships in Osnabrück and Kaiserslautern, and supervision of over 20 PhD students in algebraic geometry and computational mathematics.

• String Theory
• Supersymmetric Field Theory
• Differential Geometry
• +۳ مورد دیگر

Andrew Neitzke is a Professor of Mathematics at Yale University, where he holds the Kline Tower office (KT 913). His research focuses on the intersection of string theory, supersymmetric field theory, and geometry, with notable contributions to spectral networks, Hitchin systems, and quantum field theory applications. He has taught advanced mathematics courses at both Yale and the University of Texas at Austin, including Vector Analysis, Differential Geometry, and Quantum Field Theory-related topics. His work bridges theoretical physics and pure mathematics, particularly in understanding geometric structures through quantum field theory frameworks. Key contributions include studies on WKB asymptotics, Stokes phenomena, and the interplay between spectral curves and topological strings. He maintains an active role in both research and education, with a prolific publication record in high-impact journals.

• Differential Geometry
• Complex Geometry
• Geometric Structures on Manifolds
• +۴ مورد دیگر

Anna Fino is a Full Professor at the Department of Mathematics, University of Turin. Her research focuses on differential and complex geometry, particularly geometric structures on manifolds such as nilmanifolds, solvmanifolds, G₂-structures, and Hermitian manifolds. She has contributed to studies on special metrics (balanced, SKT, Calabi-Yau), holonomy groups, cohomology theories, and geometric flows like the Laplacian flow for G₂-structures. Her work often intersects with algebraic topology and geometric analysis, addressing topics such as tamed symplectic structures, Ricci solitons, and invariant geometric properties on homogeneous spaces. Recent activities include organizing conferences on differential geometry and participating in international collaborations. Key research themes include: Geometric structures on nilpotent and solvable Lie groups Special holonomy and calibrated geometries Hermitian and almost complex manifolds Cohomological aspects of complex and symplectic manifolds Her publications frequently explore interplays between differential geometry and algebraic structures, with applications to geometric flows and classification problems.

Gourab Rayمشاهده پروفایل

دانشیار

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

Gourab Ray is an Associate Professor in the Department of Mathematics and Statistics at the University of Victoria, Faculty of Science. He holds a PhD from the University of British Columbia, Vancouver. His research focuses on the intersection of probability theory, geometry, and mathematical physics, particularly large-scale patterns in stochastic models inspired by physics. Key areas include random planar maps, random walks, lattice spin models, dimer models, Gaussian free field properties, and Liouville quantum gravity. Recent work emphasizes establishing Gaussian free field-like behaviors in dimer models across various graphs and surfaces. He teaches courses such as MATH 236: Introduction to Real Analysis and MATH 555: Topics in Probability. His publications span leading journals including Inventiones Mathematicae , Annals of Probability , and Probability Theory and Related Fields . Notable contributions include studies on unimodular hyperbolic triangulations, half-planar map classifications, and conformal invariance in dimer models. No specific awards are listed for Dr. Ray, though his work has been recognized in peer-reviewed venues. He actively contributes to academic service, including roles on graduate committees and research collaborations. His research group engages with theoretical and applied aspects of probability theory, often bridging discrete and continuous mathematical frameworks.

• Topological Quantum Computing
• Quantum Information
• Low-dimensional Topology
• +۳ مورد دیگر

Shawn Xingshan Cui is Associate Professor in the Departments of Mathematics and Physics & Astronomy at Purdue University. His research bridges low-dimensional topology, quantum field theory, and quantum information science, with focus on topological quantum computation and tensor category applications. His work develops mathematical frameworks for topological quantum computing using knot theory, Hopf algebras, and modular tensor categories. Recent publications explore quantum error correction in topological codes (Kitaev model, toric code), non-semisimple invariants of 3-/4-manifolds, and quantum circuit implementations. He leads research on constructing fault-tolerant quantum gates using topological phases and anyonic braiding. Current projects investigate Floquet codes, fracton models, and the application of neural networks to quantum state representation. His SIAM News article 'Fighting Errors with Space' highlights spatial approaches to quantum error correction. He supervises graduate students working on quantum algorithms, topological phases of matter, and mathematical foundations of quantum computation. Teaching includes MA 261: Multivariate Calculus and specialized topics in topological quantum computation.

Don Zagierمشاهده پروفایل

استاد

• Number Theory
• Algebraic Geometry
• Modular Forms
• +۳ مورد دیگر

Don Zagier is a distinguished mathematician holding positions as Scientific Member and former Director at the Max Planck Institute for Mathematics in Bonn. He has been a Professor at the University of Bonn, University of Maryland, Kyushu University, University of Utrecht, and Collège de France. His work bridges number theory, algebraic geometry, topology, and mathematical physics. Born in 1951, he studied at MIT (1966–1968), earned a D.Phil. from Oxford (1971), and completed his habilitation at Bonn (1975). He has held roles in the Sonderforschungsbereich (SFB) Theoretische Mathematik, served as ICTP Distinguished Staff Associate since 2014, and is an Honorary Member of the London Mathematical Society (2019). Research interests include modular forms, zeta functions, quantum invariants, and algebraic geometry. Notable works include studies on the Birch-Swinnerton-Dyer conjecture, polylogarithms, and the theory of Jacobi forms. His contributions span over 200 publications, including foundational texts like Zetafunktionen und quadratische Körper (1981) and co-edited volumes on modular forms. His awards include the Carus Prize (1984), Frank Nelson Cole Prize (1987), and Karl Georg Christian von Staudt Prize (2001). Research trends in his articles focus on modular forms, knot theory, quantum topology, and the interplay between number theory and geometry. Grants and collaborations are extensive, though specifics remain unspecified. He leads research at the MPI and contributes to global mathematical communities through educational initiatives and editorial roles in journals like Communications in Number Theory and Physics .