جست‌وجوی استاد و پژوهشگر

Jérôme Le Rousseauمشاهده پروفایل

استاد

• Microlocal Analysis
• Partial Differential Equations
• Control Theory
• +۲ مورد دیگر

Jérôme Le Rousseau is a Professor at the Laboratoire analyse, géométrie et applications (LAGA), Sorbonne Paris Nord University, affiliated with CNRS UMR 7339. A junior member of the Institut Universitaire de France since 2012, his research focuses on microlocal analysis, Carleman estimates, and controllability of partial differential equations. His research explores three primary domains: Microlocal analysis for studying singularities in PDE solutions Carleman estimates for unique continuation and control theory Inverse problems involving wave propagation and stabilization Recent publications demonstrate strong focus on wave/quantum observability (2024), geometric control on manifolds (2024), and plate stabilization (2023), with consistent emphasis on microlocal techniques across 15+ peer-reviewed articles. Awards include: Junior membership in Institut Universitaire de France (2012) He co-organizes the Paris-London Analysis Seminar and previously led conferences on inverse problems at Institut Henri-Poincaré. Affiliated with LAGA laboratory, he mentors collaborators including Nicolas Burq and Luc Robbiano.

Yu Tongمشاهده پروفایل

استادیار

• Quantum Algorithms
• Tensor Network Methods
• Quantum Embedding Methods
• +۱ مورد دیگر

Yu Tong is an Assistant Professor in the Department of Mathematics and Electrical and Computer Engineering at Duke University, and a member of the Duke Quantum Center. His research bridges quantum computation, many-body physics, and mathematical algorithms for quantum systems. Education: Ph.D. in Applied Mathematics, University of California, Berkeley (2022) B.S. in Computational Mathematics, Peking University (2017) Research Focus: Professor Tong develops theoretical and algorithmic frameworks for quantum computation. His work spans: 1) Quantum algorithms for simulating fermionic/bosonic systems and solving quantum chemistry problems; 2) Tensor network methods for analyzing quantum many-body systems; 3) Quantum embedding techniques for scalable simulations; and 4) Quantum learning theory for Hamiltonian identification and conservation law discovery. His research targets both near-term devices and fault-tolerant architectures. Publication Trends: Recent articles focus on quantum simulation efficiency, error mitigation, Hamiltonian learning, and ground-state preparation, with consistent applications in quantum chemistry and condensed matter physics. Methodological innovations include Heisenberg-limited scaling approaches and tensor network optimizations. Academic Service: Program Committee: QCTIP 2023/2025, TQC 2023, QSIM 2025 Editorial Board: Quantum journal

• Numerical Analysis
• Shape Optimization
• Partial Differential Equations (PDEs)
• +۵ مورد دیگر

Dr. Philip Herbert is an Assistant Professor in Numerical Analysis and Scientific Computation at the University of Sussex's School of Mathematical and Physical Sciences. His research focuses on numerical analysis, shape optimization, and PDEs on evolving surfaces, with a particular interest in structure-preserving discretization of kinetic equations. He has contributed to advancements in W1,∞ topology methods for shape optimization and stochastic optimization in Banach spaces. Key research interests include: Numerical methods for partial differential equations Algorithm development for shape optimization problems Applications in biomembrane modeling and fluid dynamics Recent work emphasizes hypocoercivity theory for kinetic equations and robust optimization techniques. He has secured grants from the London Mathematical Society for interdisciplinary projects linking microbial dynamics and cell-drug interactions with mathematical modeling. Professional activities include organizing workshops like the UKACM symposium and presenting at conferences such as the IFIP conference and European Finite Element Fair. His collaborative efforts span institutions like Inria Paris and the University of Koblenz.

Pierre Patieمشاهده پروفایل

استاد

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

Pierre Patie is a Professor at Cornell University's School of Operations Research and Information Engineering (ORIE). His research focuses on stochastic processes, spectral theory, and their applications in financial mathematics, neurology, and mathematical physics. He explores topics such as isospectral classes of linear operators, first passage time problems, and hypocoercivity via spectral methods. His research interests include: Isospectral classes of linear operators (unitary conjugation, interweaving, weak similarity) Spectral theory of non-selfadjoint operators First passage time problems for Markov processes Subdiffusive processes and boundary crossing phenomena Financial mathematics and risk-neutral pricing Special functions and moment problems Pierre has advised numerous PhD students at Cornell and other institutions, including work on topics like non-reversible Markov chains, spectral expansions, and self-similar processes. He co-authored over 50 publications and collaborates with researchers globally. His work bridges probability theory, analysis, and applications in finance and neuroscience. Pierre co-organizes the Cornell Probability Seminar and the Finger Lakes Probability Seminar. He has contributed to conferences such as the Intertwining between Probability, Analysis and Statistical Physics workshop in Singapore (2024).

Eric A. Carlenمشاهده پروفایل

استاد

• Functional analysis
• Probability
• Mathematical physics
• +۳ مورد دیگر

Eric A. Carlen is a Distinguished Professor of Mathematics at Rutgers University, specializing in mathematical physics. His faculty position is within the Department of Mathematics where he conducts research at the intersection of functional analysis, probability theory, and mathematical physics. He maintains an active research program with numerous recent publications spanning quantum information theory, statistical mechanics, and partial differential equations. Professor Carlen's research focuses on functional analysis, probability, and mathematical physics, with particular emphasis on problems in non-equilibrium statistical mechanics and variational problems. His work explores geometric inequalities and their applications to physical systems. Recent research directions include: Quantum Markov semigroups and their spectral properties Functional inequalities and their stability Kinetic theory and approach to equilibrium phenomena Quantum information theory and entropy methods Non-equilibrium steady states in boundary-driven systems Analysis of Professor Carlen's recent publications (2023-2025) reveals a strong focus on quantum information theory, particularly quantum Markov processes and entropy inequalities. His work bridges abstract mathematical analysis with applications in statistical mechanics, showing particular interest in hypocoercivity, spectral gaps, and stability of functional inequalities. A significant portion of his recent work connects mathematical analysis with physical applications, especially in non-equilibrium statistical mechanics. Professor Carlen teaches courses in mathematics, including an introduction to the mathematical theory of probability. His office is located in Hill Center 632 at Rutgers University, and he can be contacted at carlen@math.rutgers.edu.

Emmanuil Georgoulisمشاهده پروفایل

استاد

• Numerical Analysis
• Computational Methods for Partial Differential Equations
• Finite Element Methods
• +۳ مورد دیگر

Emmanuil Georgoulis is a Professor of Mathematics at Heriot-Watt University, part of the School of Mathematical & Computer Sciences. He holds an external position as Professor at the National Technical University of Athens. His research focuses on numerical analysis, particularly computational methods for PDEs in solids, fluids, biology, and finance, including finite element methods, discontinuous Galerkin methods, and multiscale techniques. He also contributes to approximation theory, including multivariate approximation and high-dimensional methods. Georgoulis has supervised numerous PhD students and postdocs, with active roles in academic service, including editorial work for the SIAM Journal on Numerical Analysis and organizing the One World Numerical Analysis Seminar and European Finite Element Fair. His work emphasizes adaptivity, error analysis, and high-performance computational strategies. Key contributions include publications on stabilized finite element methods, a posteriori error estimation, and discontinuous Galerkin approaches. His research bridges theoretical analysis and practical applications in engineering and science, with a focus on advancing numerical methods for complex systems.

• Applied Mathematics
• Partial Differential Equations
• Quantum Mechanics
• +۸ مورد دیگر

Anton Arnold is a Full Professor of Mathematical Analysis at TU Wien's Institute of Analysis and Scientific Computing. He specializes in applied mathematics, partial differential equations (PDEs), and kinetic theory. His research focuses on hypocoercivity, entropy methods, quantum transport, and numerical analysis of highly oscillatory systems. Arnold has held leadership roles, including Deputy Speaker of the SFB 'Taming Complexity in Partial Differential Systems' and Coordinator of the TMR Network 'Asymptotic Methods in Kinetic Theory'. He earned his doctoral degree (Dr.techn.) from TU Wien and habilitation from TU Berlin. His work spans theoretical analysis, numerical methods, and applications in physics and engineering. Key contributions include studies on Fokker-Planck equations, Wigner equations, and Schrödinger dynamics. He has supervised numerous PhD and master’s students, contributing to the academic community through editorial roles and international collaborations. Education: PhD in Technical Sciences (1990), TU Wien Habilitation in Mathematics (1996), TU Berlin Research Interests: Hypocoercivity theory Entropy methods for PDEs Quantum kinetic models Numerical methods for dispersive waves Recent Projects: FWF-Project 'Numerical Constraints for the Wigner and the Sigma Equation' (2020–2024) Vienna Center for PDEs (2014–present) Arnold's work bridges theoretical analysis and practical applications, addressing complex systems in physics, engineering, and biology. His research on decay rates, Fokker-Planck equations, and wave propagation has advanced understanding of nonlinear and dispersive phenomena.

Christian Schmeiserمشاهده پروفایل

استاد

• Nonlinear Partial Differential Equations
• Kinetic Transport Equations
• Mathematical Biology
• +۴ مورد دیگر

Christian Schmeiser is a Professor at the Faculty of Mathematics, University of Vienna. He is a founding member of the Vienna PDE Center (WPI) and Deputy Speaker of the Vienna Center for Partial Differential Equations. His research focuses on nonlinear PDEs, kinetic transport equations, and mathematical biology. He has led multiple research projects funded by the Austrian Science Fund (FWF), the Vienna Science and Technology Fund (WWTF), and the European Union. His academic roles include leadership in doctoral programs such as the 'Signaling Mechanisms in Cellular Homeostasis' and 'Dissipation and Dispersion in Nonlinear PDEs.' He has advised over 20 PhD students, including notable researchers like Dietmar Ölz and Sabine Hittmeir. His work bridges theoretical analysis (e.g., hypocoercivity, asymptotic methods) and applications in cell biology and semiconductor physics. Recent projects include modeling cell migration mechanisms, actin dynamics, and collective behavior in myxobacteria. He has contributed to numerical methods for hyperbolic conservation laws and stochastic processes. His research has been published in top journals like Archive for Rational Mechanics and Analysis and Journal of Differential Equations .

Russel E. Caflischمشاهده پروفایل

استاد

• Applied Mathematics
• Partial Differential Equations (PDEs)
• Fluid Dynamics
• +۴ مورد دیگر

Russel E. Caflisch is the Director and Professor of Mathematics at the Courant Institute, New York University. He holds a PhD in Mathematics from the Courant Institute (1978), an M.S. from the same institute (1977), and a B.S. in Mathematics from Michigan State University (1975). His research focuses on applied mathematics, PDEs, fluid dynamics, plasma physics, materials science, Monte Carlo methods, and computational finance. Notable contributions include work on vortex dynamics, epitaxial growth modeling via level set methods, and financial derivatives pricing using simulation-based approaches. Recent articles address vortex layer stability, compressed modes for variational problems, and hybrid methods for plasma collision simulations. His work has been recognized through extensive publications in top journals like Proceedings of the National Academy of Sciences , Communications on Pure and Applied Mathematics , and Journal of Computational Physics . Caflisch’s research bridges theoretical analysis and computational methods, with applications spanning fluid mechanics, materials science, and finance. He has pioneered numerical techniques for simulating complex systems, including rarefied gas dynamics and thin film growth. His leadership at the Courant Institute underscores his role in advancing applied mathematics research and education.

Jean Dolbeaultمشاهده پروفایل

استاد

• Functional Analysis
• Partial Differential Equations (PDEs)
• Mathematical Physics
• +۶ مورد دیگر

Jean Dolbeault is a Professor at the Université Paris Dauphine, affiliated with the CEREMADE research center (UMR CNRS 7534). His primary role involves research and teaching in mathematical analysis, with a focus on partial differential equations (PDEs), functional inequalities, and their applications in physics and biology. He holds a permanent academic position and actively participates in international conferences, workshops, and collaborative projects. His research interests span stability estimates for functional inequalities (e.g., Sobolev, Gagliardo-Nirenberg, and Hardy-Littlewood-Sobolev inequalities), entropy methods, hypocoercivity, and nonlinear diffusions. He has made significant contributions to understanding symmetry properties of solutions to elliptic and parabolic PDEs, as well as their applications to chemotaxis models (e.g., Keller-Segel systems) and quantum mechanics (e.g., Dirac operators). He has been involved in major collaborative projects, including the ANR-17-CE40-0030 (EFI: Entropy, Flows, Inequalities) and the ongoing ANR-23-CE40-0003 (Conviviality). His work frequently bridges pure and applied mathematics, with applications in kinetic theory, spectral analysis, and mathematical biology. Recent activities include organizing workshops on functional inequalities (e.g., 2025 Workshop on Functional Inequalities at Paris-Dauphine), delivering lectures at institutions worldwide, and supervising doctoral and postdoctoral researchers. His research is characterized by rigorous analytical methods and interdisciplinary impact.

Martin Grothausمشاهده پروفایل

استاد

• Functional Analysis
• Stochastic Analysis
• White Noise Analysis
• +۶ مورد دیگر

Prof. Dr. Martin Grothaus is a Professor at the Technische Universität Kaiserslautern in the Department of Mathematics . His research spans Functional Analysis , Stochastic Analysis , White Noise Analysis , and Mathematical Physics , focusing on operator semigroups, Dirichlet forms, ergodicity, and scaling limits of stochastic dynamics. PhD in Mathematics (1998) and Physics (1996) from Universität Bielefeld Juniorprofessor at TU Kaiserslautern (2002–2008) Editorial roles in books on Stochastic and Infinite Dimensional Analysis His research integrates stochastic differential equations with applications in quantum probability , statistical mechanics , and industrial processes (e.g., fiber lay-down models). Key methodologies include Dirichlet forms , hypocoercivity , and Gaussian analysis . Recent work highlights trends in degenerate SDEs , nonlinear SPDEs , and geometric Langevin equations . He received the Lehrpreis Rheinland-Pfalz (2010) for teaching excellence. Collaborations include institutions such as Universität Bonn, Bielefeld, and Cornell University, with applications in technical textiles and biological systems .

• Applied Mathematics
• Partial Differential Equations
• Quantum Mechanics
• +۶ مورد دیگر

Anton Arnold is a Professor of Mathematical Analysis at the Vienna University of Technology (TU Wien). He holds the position of Professor since 2005 and has served as Deputy Director and Head of the Institute for Analysis and Scientific Computing. His primary affiliation is with the Institute of Analysis and Scientific Computing, part of TU Wien's Faculty of Mathematics and Geoinformation. Education: Born in 1963, Arnold earned his Diploma in Technical Mathematics (1989) and Doctor of Technical Sciences (1990) from TU Wien. He completed his Habilitation in Mathematics at TU Berlin (1996). Professional roles include visiting professorships at institutions like Purdue University and Université de Provence. Research interests focus on applied mathematics, partial differential equations (PDEs), entropy methods, hypocoercivity, and quantum kinetic equations. He has led projects such as the Erasmus Mundus Master Program 'InterMaths' and the FWF-funded SFB 'Taming Complexity in Partial Differential Systems'. Teaching includes advanced courses on PDEs, variational calculus, and kinetic equations. Supervision of over 30 PhD, Master, and Bachelor students underscores his academic mentorship. His work bridges theoretical analysis with computational methods, particularly in quantum transport and wave propagation.

Jianfeng Luمشاهده پروفایل

استاد

• Mathematical Analysis
• Algorithm Development
• Computational Physics
• +۵ مورد دیگر

Jianfeng Lu is the James B. Duke Distinguished Professor of Mathematics at Duke University, with affiliations in the Department of Mathematics, Chemistry, and Physics within the Trinity College of Arts & Sciences. He holds a Ph.D. from Princeton University (2009). His research focuses on mathematical analysis, algorithm development for computational physics, theoretical chemistry, materials science, and machine learning, particularly in high-dimensional PDEs, quantum dynamics, and multiscale modeling. Notable achievements include the 2024 James B. Duke Distinguished Professorship. His work spans interdisciplinary collaborations, with grants from the National Science Foundation (NSF) and Department of Energy (DOE), addressing challenges in quantum computing, electronic structure theory, and AI-driven material design. Research interests include quantum Markov processes, reinforcement learning theory, and numerical methods for PDEs. He advises numerous graduate students and postdocs, mentoring in applied mathematics and computational physics. His labs and teams contribute to projects like the Duke Materials Initiative and the ELSI collaboration for electronic structure theory.

Volker Mehrmannمشاهده پروفایل

استاد

• Applied and Numerical Linear Algebra
• Analysis and Numerics of Differential-Algebraic Equations
• Numerical Solution of Differential Equations
• +۳ مورد دیگر

Volker Mehrmann is a Professor of Mathematics (Numerical Mathematics) at Technische Universität Berlin since 2000. He holds a C4-Professorship and has held leadership roles in major research initiatives such as the DFG Research Center MATHEON and the Einstein Center ECMath. His research focuses on applied and numerical linear algebra, differential-algebraic equations, control theory, and industrial mathematics. Mehrmann earned his Ph.D. from Universität Bielefeld (1982) and habilitation (1988). He has authored influential textbooks, including Lineare Algebra , and serves as Editor-in-Chief of Linear Algebra and its Applications . He is a SIAM Fellow, ERC Advanced Grant recipient, and member of prestigious academies like acatech and Academia Europaea. Education: Diplom (1979), Ph.D. (1982), Habilitation (1988) from Universität Bielefeld. Key Roles: Speaker of DFG Research Center MATHEON (2008–2014) President of GAMM (2011–2016) and EMS (2017–2022) Research Highlights: Model reduction, port-Hamiltonian systems, and energy-based modeling Control of complex systems and industrial applications His recent work emphasizes interdisciplinary projects in energy systems (e.g., BMBF-EiFer, Hybrid Energy Networks) and numerical methods for large-scale systems. Mehrmann’s contributions span theoretical advancements and practical implementations, bridging fundamental mathematics with real-world challenges.

Eugene Wayneمشاهده پروفایل

استاد

• Dynamical Systems
• Partial Differential Equations
• Mathematical Physics
• +۳ مورد دیگر

Eugene Wayne is a Professor in the Mathematics Department at Boston University. He is affiliated with the Center for BioDynamics at the same institution. His research focuses on dynamical systems, partial differential equations, and mathematical physics. Specific interests include fluid dynamics, nonlinear waves, and the application of KAM theory to PDEs. He teaches advanced courses like MA 876 (Special Topics in Partial Differential Equations) and has explored the role of technology in mathematics education through computer algebra systems. His research emphasizes understanding viscous/inviscid fluid behavior, extending KAM theory to PDE contexts, and analyzing equations like Navier-Stokes and nonlinear Schrödinger equations. Recent work includes studies on metastable states, vortex dynamics, and Taylor dispersion justification through center manifold methods. Preprints are available via mp_arc and the Nonlinear Science e-Print Archive. No academic awards are explicitly mentioned in the provided texts. His advising and grants are not detailed here, though his teaching and research collaborations suggest active involvement in academic mentorship. He maintains active research in mathematical physics and fluid dynamics through his affiliation with the Center for BioDynamics.