جستجوی استاد راهنمای دانشگاهی

Ivan Cherednikمشاهده پروفایل

استاد

• Representation theory
• Mathematical physics
• Combinatorics
• +۸ مورد دیگر

Ivan Cherednik is a Professor in the Department of Mathematics at the University of North Carolina at Chapel Hill. His research spans multiple disciplines in mathematics and its applications. Representation theory Mathematical physics Combinatorics Number theory Algebraic geometry Low-dimensional topology Mathematical biology Quantitative finance Cherednik's work has been revolutionary in several areas of mathematics. He's known for defining Double Affine Hecke Algebras (DAHA) and proving Macdonald's conjectures in q-combinatorics. His research has produced new theories of hypergeometric functions, DAHA invariants of algebraic knots and links, and new developments in the theory of Rogers-Ramanujan identities. Recent publications show his continued research activity, with work in 2024 on R-matrix quantization of formal loop groups, superpolynomials of algebraic links, and connections between zeta-polynomials, superpolynomials, DAHA, and plane curve singularities. He has also applied his mathematical expertise to real-world problems, particularly in modeling the spread of the COVID-19 virus using Bessel functions and other mathematical approaches.

Pedro J. Sáenzمشاهده پروفایل

دانشیار

• Physical applied mathematics
• Soft matter
• Active matter
• +۳ مورد دیگر

Pedro J. Sáenz is an Associate Professor in the Department of Mathematics at the University of North Carolina at Chapel Hill (UNC-Chapel Hill). He directs the Physical Mathematics Laboratory (PML), which explores physical applied mathematics and fluid mechanics through interdisciplinary collaboration between theoretical and experimental approaches. M.Sc & B.Sc, University of La Rioja, 2008 Ph.D., University of Edinburgh, 2014 Postdoctoral Fellow, Imperial College London, 2015 Instructor in Applied Mathematics, Massachusetts Institute of Technology (MIT), 2015–2019 Assistant Professor, UNC-Chapel Hill, 2019–present His research bridges physics, applied mathematics, and engineering, focusing on hydrodynamic quantum analogs, soft/active matter, and nonequilibrium physics. Key themes include wave-particle interactions, symmetry breaking, and self-propulsion mechanisms in classical systems. Recent publications highlight universal scaling laws in fluid dynamics, quantum-classical analogs in pilot-wave systems, and symmetry-driven phenomena in Faraday waves and droplet localization. These works integrate mathematical theory with experimental validation. 2025 Kavli Fellowship NSF CAREER award (2021) Alfred P. Sloan Fellowship (2023) Van Dyke Gallery of Fluid Motion Award (2022) APS Gallery of Fluid Motion Award (2024) Pedro's lab (PML) trains students and researchers in theoretical modeling, numerical simulations, and experimental design. His work has secured major grants, including the NSF CAREER award, and has been featured in Nature , Science Advances , and Physical Review X .

David Bourneمشاهده پروفایل

دانشیار

• Optimal Transport Theory
• Semi-discrete Optimal Transport
• Computational Geometry
• +۷ مورد دیگر

David Bourne is an Associate Professor in the Department of Mathematics at Heriot-Watt University, located within the School of Mathematical and Computer Sciences. He joined Heriot-Watt University in 2018 after holding academic positions at Durham University and the University of Glasgow. Dr. Bourne received his undergraduate degree from Durham University (UK), followed by a PhD from the University of Maryland, College Park (USA) under the supervision of Stuart S. Antman. He completed postdoctoral work with Stefan Müller in Leipzig and Bonn (Germany) and with Mark Peletier in Eindhoven (the Netherlands). Dr. Bourne's research focuses on optimal transport theory and its applications . His work spans several interdisciplinary areas including computational geometry, materials science, meteorology, and energy-driven pattern formation. Specifically, he investigates semi-discrete optimal transport theory and its applications to synthetic microstructure generation in materials science, weather modeling through the semi-geostrophic equations, and pattern formation in crystallization processes. His research employs techniques such as Laguerre tessellations and power diagrams to solve complex problems in these domains. His recent publications demonstrate a strong trend toward applying optimal transport methods to solve complex problems in materials science and meteorology. The research shows increasing sophistication in handling anisotropic structures and developing efficient computational algorithms for geometric modeling of polycrystalline materials and weather systems. Dr. Bourne maintains an active research group and has developed software libraries related to his work, as indicated on his personal webpage (www.macs.hw.ac.uk/~db92/). His ORCID identifier is https://orcid.org/0000-0001-7515-8329.

Brian P. Andersonمشاهده پروفایل

استاد

• Bose-Einstein Condensates
• Quantum Fluid Dynamics
• Quantum Turbulence
• +۳ مورد دیگر

Brian P. Anderson is a Professor at the Wyant College of Optical Sciences of the University of Arizona , where he serves as Interim Dean. His research focuses on quantum fluid dynamics and Bose-Einstein condensates (BECs), utilizing laser cooling and optical trapping techniques to study superfluid behavior, quantized vortices, and quantum turbulence. Anderson has held faculty appointments in both the College of Optical Sciences and the Department of Physics since 2001. Ph.D., Stanford University (1999) M.S., Stanford University (1995) B.A., Rice University (1992) His work explores the generation, manipulation, and dynamics of quantized vortices in BECs, connecting to broader phenomena like phase transitions and turbulence in quantum systems. He has pioneered methods for controlled vortex studies using tailored optical potentials and contributes to understanding two-dimensional quantum turbulence. Key trends in his publications include investigations into vortex dynamics in BECs, quantum turbulence, phase manipulation, and the application of optical techniques to study superfluidity. His research bridges experimental, numerical, and theoretical approaches. Scientific Awards American Physical Society Fellow (2013) American Physical Society Outstanding Referee (2011) Army Research Office Young Investigator Award (2004) National Research Council Postdoctoral Associateship (1999-2001) Presidential Early Career Award for Scientists and Engineers (2004) Anderson leads the Bose-Einstein Condensation Lab at the University of Arizona. His teaching includes graduate courses in optical sciences, such as OPTI 570A and OPTI 571L.

• Partial Differential Equations
• Harmonic Analysis
• Geometric Analysis
• +۳ مورد دیگر

Professor Guozhen Lu is a distinguished faculty member at the University of Connecticut, recently elected to the Connecticut Academy of Science and Engineering (CASE) in 2025. His research bridges advanced mathematical analysis with geometric and functional frameworks, establishing him as a leading figure in modern analysis. Lu's research centers on Partial Differential Equations, Harmonic Analysis, and Geometric Analysis, with particular emphasis on functional inequalities including Sobolev, Trudinger-Moser, and Hardy-Rellich inequalities. His work explores sharp constants, stability phenomena, and extremal problems across diverse geometric settings such as Heisenberg groups, hyperbolic spaces, and CR manifolds. He investigates how geometric structures influence analytical properties, often revealing deep connections between analysis and geometry. Analysis of his 2024-2025 publications shows intense focus on stability of fundamental inequalities (Sobolev, Poincaré, Uncertainty Principle), with innovative approaches to multi-parameter operators and geometric constraints. His work consistently targets optimal constants and dimension-dependent phenomena, pushing boundaries in non-Euclidean analysis. His notable scientific recognition includes: Connecticut Academy of Science and Engineering (CASE) Membership (2025) While specific details about student advising and grant funding are not documented in available sources, Lu's editorial contributions (including special issues honoring Robert Fefferman and David Jerison) demonstrate significant service to the mathematical community. No information is available regarding dedicated laboratories or research teams.

Oliver Pooleyمشاهده پروفایل

دانشیار

• Philosophy of Physics
• Metaphysics
• Philosophy of Space and Time
• +۴ مورد دیگر

Oliver Pooley is Vice Provost at Oriel College, University of Oxford, where he serves as Fellow and Tutor in Philosophy. He is also an Associate Professor in the Faculty of Philosophy at the University of Oxford. His academic appointments include teaching roles in multiple interdisciplinary programs: Computer Science and Philosophy, Mathematics and Philosophy, Philosophy and Modern Languages, Philosophy (Joint Honours), Philosophy and Theology, Philosophy, Politics and Economics, and Physics and Philosophy. Pooley's research focuses on the philosophy of physics, particularly the nature of space, time, and spacetime. His work intersects significantly with metaphysics and the philosophy of language. He is currently completing a book titled The Reality of Spacetime under contract with Oxford University Press. His research addresses fundamental questions about whether time really passes (concluding it doesn't) and how work in general metaphysics should inform the interpretation of physics. Analysis of Pooley's publication record reveals a sustained focus on spacetime ontology, particularly the substantivalist-relationalist debate. His work frequently engages with the hole argument, general covariance, and background independence in both classical and relativistic physics. A significant portion of his scholarship examines how metaphysical considerations interact with physical theories, especially regarding the interpretation of spacetime structure. His more recent work shows increasing attention to the relationship between dynamical symmetries and spacetime structure. Prior to his current position at Oriel, Pooley held a British Academy Postdoctoral Fellowship and college lectureship at Exeter College, Oxford. His teaching interests extend beyond philosophy of physics to include logic, metaphysics, epistemology, philosophy of language, and philosophy of science. He actively welcomes contact from potential graduate students whose research interests overlap with his own.

Fabrizio Silvestriمشاهده پروفایل

استاد

• Artificial Intelligence
• Machine Learning
• Web Search
• +۷ مورد دیگر

Fabrizio Silvestri is a Full Professor at Sapienza University of Rome's Department of Computer, Automatic and Management Engineering (DIAG), where he coordinates the Ph.D. program in Data Science. He leads the RSTLess research group focusing on Robust, Safe, and Transparent Deep Learning. Research interests: Artificial Intelligence, Machine Learning, Web Search, Natural Language Processing, Information Retrieval, Graph Neural Networks Research Trends from recent publications reveal: Advancements in sequential recommendation systems using topological and sheaf-based neural networks Focus on sustainable AI through eco-aware graph neural networks Counterfactual explanations for graph models and machine unlearning Security applications in dense retrieval and data poisoning defense Time series analysis for 5G network monitoring Integration of attention mechanisms and positional encoding in Transformers Scientific Achievements : ECIR 2018 Test of Time Award 3 Best Paper Awards (ECIR 2007, IEEE WI 2004, WSDM 2011 Runner-Up) Yahoo! Patent Milestone Award Recipient of Yahoo! Labs Excellence Program (LEAP) and Faculty Research Engagement Program (FREP) Finalist for ERCIM Cor Baayen Award (2005) Academic Leadership : Holds 9 industrial patents from Yahoo! and Facebook AI. Directed Facebook AI research groups combating malicious content. Ph.D. in Computer Science from University of Pisa with thesis on High-Performance Issues in Web Search Engines . Supervises thesis projects through the RSTLess group website .

• Nonlinear Partial Differential Equations
• Geometric and Global Analysis
• Nonlinear Analysis
• +۳ مورد دیگر

Jun-cheng Wei is a Professor of Mathematics and Canada Research Chair (Tier I) in Nonlinear Partial Differential Equations at the University of British Columbia. He is also a Fellow of the Royal Society of Canada (FRSC), recognizing his significant contributions to mathematical research. Research Interests: Nonlinear Partial Differential Equations Geometric and Global Analysis Nonlinear Analysis Mathematical Biology Singular Perturbation Problems Phase Transition Professor Wei's research focuses on the rigorous mathematical analysis of nonlinear phenomena, with particular emphasis on singular perturbation problems, pattern formation, and mathematical modeling in physics and biology. His work spans both theoretical developments in pure mathematics and applications to physical phenomena including quantum mechanics, materials science, and biological systems. His publication record shows sustained productivity and significant contributions to the field of nonlinear partial differential equations. Recent work includes studies on Liouville equations, fractional PDEs, Bose-Einstein condensates, and reaction-diffusion systems, demonstrating both depth and breadth in his mathematical contributions. His research often involves sophisticated analytical techniques to understand solution behavior, stability, and singularity formation. Scientific Awards: Canada Research Chair (Tier I) in Nonlinear Partial Differential Equations Fellow of the Royal Society of Canada (FRSC) Professor Wei has established himself as a leading figure in the analysis of nonlinear partial differential equations through his extensive publication record, numerous collaborations with international researchers, and significant theoretical advances. His work continues to influence both pure mathematical analysis and its applications to understanding complex physical phenomena.

• Machine Learning
• Deep Learning
• Applied Mathematics
• +۶ مورد دیگر

Gitta Astrid Hildegard Kutyniok is a Professor in the Department of Physics and Technology at UiT The Arctic University of Norway. Her research spans machine learning, applied mathematics, and signal processing, with a focus on theoretical foundations and practical applications.

• Complex Differential Geometry
• Algebraic Geometry
• Differential Geometry
• +۴ مورد دیگر

Chenzi Jin serves as a Veblen Research Instructor at Princeton University and the Institute for Advanced Study, a prestigious postdoctoral fellowship supporting independent research at the intersection of complex differential geometry and algebraic geometry. His appointment reflects exceptional promise in mathematical research, with full institutional backing from two leading centers for theoretical mathematics. He completed his Ph.D. at the University of Maryland, College Park under Prof. Yanir Rubinstein, establishing foundational expertise in geometric analysis. This training directly informs his current investigations into stability conditions and asymptotic methods. Dr. Jin's research program focuses on the interface of complex differential and algebraic geometry, emphasizing differential, convex, and discrete geometric techniques. He examines Kähler metrics, stability thresholds, and geometric structures through asymptotic analysis and PDE methods, addressing core problems like Tian's stabilization conjecture and Okounkov body asymptotics. His work reveals profound connections between combinatorial structures and continuous geometric phenomena. His 2024-2025 publications demonstrate cohesive progress across geometric analysis, with recurring emphasis on stability conditions for algebraic varieties and asymptotic behavior in metric geometry. These works collectively advance understanding of how discrete combinatorial frameworks govern continuous geometric structures. Funded entirely by the Veblen Instructorship, Dr. Jin operates with dedicated research support from Princeton and IAS. While not independently advising students, he collaborates with senior faculty including Prof. Rubinstein and Prof. Tian, offering engagement pathways for graduate researchers through joint projects and seminar participation.

Philippe Delachartreمشاهده پروفایل

استاد

• Medical Imaging
• Signal Processing
• Image Processing
• +۷ مورد دیگر

Philippe Delachartre is a Professor at INSA Lyon (University of Lyon) in the Department of Electrical Engineering and researcher at CREATIS (Center for Research and Applications in Image and Signal Processing). He obtained his MS (1990) and PhD (1994) in Signal and Image Processing from INSA Lyon, joining the faculty in 1995 as Associate Professor before being promoted to Professor. His research focuses on medical image processing including: Advanced signal processing for ultrasound and MRI Motion estimation and segmentation algorithms Hypercomplex signal theory applications Deep learning for medical image analysis Real-time data acquisition systems With 30+ years of experience, he's contributed to over 100 publications. Recent publications (2018-2025) show strong focus on: Deep learning applications in medical signal classification Advanced segmentation methods (phase-field, CNN) Mathematical frameworks using hyperquaternions 3D ultrasound analysis for neurology and dermatology Cardiac motion estimation algorithms Research grants include: Regional project on emboli classification with deep learning (€170k) ANR LabCom project on Doppler ultrasound (€300k) Dermis characterization contract with Institut Pierre Fabre (€45k) Prostate segmentation project (€21k) Image denoising research (€100k) He has supervised 9 PhD students and leads research activities at CREATIS laboratory focusing on innovative medical imaging solutions.

Nicolas Boulangerمشاهده پروفایل

دانشیار

• Higher Spin Gravity
• Higher Symmetries
• Duality in Supergravity
• +۴ مورد دیگر

Nicolas Boulanger serves as a full-time Associate Professor at the University of Mons (UMONS) and holds a Senior Research Associate position with the F.R.S.-FNRS. He founded and leads the research unit "Physics of the Universe, Fields and Gravitation" at UMONS, specializing in theoretical physics. His academic engagements include visiting professorships at the Universities of Tours and Aix-Marseille, along with multiple invitations to the Institut des Hautes Études Scientifiques (IHES) in France. Boulanger earned his Ph.D. in Physics from ULB Brussels in 2003 under Marc Henneaux's supervision, following post-doctoral research at DAMTP (Cambridge), the University of Mons, and Scuola Normale Superiore (Pisa). His educational trajectory reflects deep immersion in theoretical physics institutions across Europe. His research spans higher spin gravity, higher symmetries, duality in supergravity, Weyl-invariance in extended gravity models, and quantization of gauge systems. He also actively collaborates on interdisciplinary biomechanics projects with engineers and physiotherapists, applying theoretical frameworks to human motor control systems. This dual focus bridges abstract mathematical physics with practical biological applications. Analysis of his publications reveals a consistent thread exploring mathematical structures in quantum gravity, particularly higher-spin systems and dualities. His work demonstrates evolution from foundational anomaly studies (2003-2007) to comprehensive higher-spin frameworks (2012-2017), with increasing interdisciplinary reach into biomechanics. The publications consistently integrate advanced group theory and geometric formulations. Boulanger received the Théophile De Donder prize for Mathematical Physics from the Royal Academy of Belgium in 2015, recognizing his contributions to theoretical physics. This award coincided with the formal establishment of his research unit at UMONS. He directs the "Physics of the Universe, Fields and Gravitation" unit at UMONS, fostering collaborative theoretical research. His biomechanics work involves a pluri-disciplinary team integrating engineering expertise with clinical physiotherapy perspectives, creating a unique cross-departmental research environment focused on movement science.

• Superconductivity
• Nanotechnology
• Topological Physics
• +۴ مورد دیگر

Prof. Dr. Vladimir M. Fomin serves as a Research Professor at the Institute for Integrative Nanoscience (IIN) within the Leibniz Institute for Solid State and Materials Research Dresden. His academic career spans over 15 years with extensive contributions to nanostructured superconductors and topological materials. His research focuses on geometric control of superconductivity in 3D nanoarchitectures , specializing in vortex dynamics, topological transitions, and quantum effects in curved nanostructures. Key areas include superconducting nanotubes, quantum rings, and phonon engineering in nanomembranes. His work bridges theoretical modeling with experimental nanofabrication techniques. Analysis of his 15 most recent publications (2023-2025) reveals dominant trends in topology-driven superconductivity and geometric manipulation of quantum states . The research consistently explores how curvature and topology affect vortex matter, with applications in superconducting electronics and quantum computing. Sub-fields prominently featured include vortex ratchets, Shapiro steps, magneto-polaron resonances, and microwave generation in nanoscale systems. His scientific impact is evidenced by 64 journal papers, 9 contributed book chapters, 95 invited talks across 15+ countries, and 5 monographs. Notable speaking engagements include keynote addresses at IEEE-NANO 2022, K. Alex Müller Workshop (2023), and international seminars from Moscow to Busan. Prof. Fomin actively supervises PhD projects in geometric control of superconductivity and collaborates globally with institutions including Universidad Autónoma de Madrid, Pusan National University, and Argonne National Laboratory. His research group develops advanced simulation frameworks for curved nanostructures while maintaining strong experimental partnerships for nanofabrication and characterization. He leads research on catalytic micro/nanoengines and superconducting vortex matter, with recent work focusing on reconfigurable 3D superconducting architectures and topological transitions in ac/dc-driven systems. Current projects involve quantum interference phenomena in non-ideal mesoscopic rings and phonon spectrum engineering in rolled-up nanostructures.