Viscosity solution theory Professors and Supervisors | ApplySharif

جست‌وجوی استاد و پژوهشگر

استاد راهنما، استاد دانشگاه یا پژوهشگر مناسب برای مسیر پژوهشی‌تان را پیدا کنید و با او ارتباط بگیرید.

نمایش ۱-۱۵ از ۳۰۳ استاد راهنما

اطلاعات این پروفایل‌ها از صفحات عمومی دانشگاه‌ها جمع‌آوری شده و ممکن است به‌روز نباشد.

Howard A. Stoneمشاهده پروفایل

استاد

Princeton UniversityUnited States

Howard A. Stone is the Donald R. Dixon '69 and Elizabeth W. Dixon Professor and Neil A. Omenn '68 University Professor in the Department of Mechanical and Aerospace Engineering at Princeton University's School of Engineering and Applied Science. He leads the Complex Fluids Group, conducting interdisciplinary research at the intersection of engineering, physics, chemistry, and biology. Dr. Stone received his B.S. in Chemical Engineering from UC Davis (1982) and Ph.D. from Caltech (1988). After a postdoctoral year at Cambridge University, he joined Harvard University's faculty in 1989, where he became the Vicky Joseph Professor of Engineering and Applied Mathematics before moving to Princeton in 2009. His research focuses on fluid dynamics phenomena across multiple scales, with particular emphasis on microfluidics, complex fluids, and biomechanics . His group investigates multiphase flows, colloidal systems, bio-inspired fluid phenomena, and physicochemical hydrodynamics. Recent work spans from fundamental studies of thin film drainage and droplet dynamics to applications in biological systems including blood flow, bacterial transport, and biomolecular condensates. The Complex Fluids Group employs experimental, theoretical, and computational approaches, often collaborating with industry partners on applications from medical devices to industrial processes. Analysis of his recent publications reveals a continued expansion into biological applications of fluid dynamics, with increasing focus on cellular mechanics, biomolecular condensates, and pathological hemodynamics, while maintaining strong contributions to fundamental fluid mechanics in complex systems. His work consistently bridges theoretical insights with practical applications across multiple disciplines. Major honors include: Election to the National Academy of Engineering (2009) Election to the National Academy of Sciences (2014) APS Fluid Dynamics Prize (2016) G.K. Batchelor Prize in Fluid Dynamics (2008) NSF Presidential Young Investigator Award Professor Stone has advised numerous PhD students through their Final Public Oral examinations, with recent graduates working on topics spanning microfluidics, bacterial transport, and complex fluid phenomena. His research has been supported by diverse funding sources including NSF, NIH, and industry partnerships. The Complex Fluids Group maintains state-of-the-art experimental facilities in the Engineering Quadrangle, featuring specialized equipment for microfluidics, rheology, and interfacial phenomena investigations. The group actively collaborates with researchers across Princeton and globally, maintaining strong connections to both academic and industrial partners working on fluid-related challenges.

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Geng Guoqingمشاهده پروفایل

استادیار

National University of SingaporeSingapore

Dr. Geng Guoqing is an Assistant Professor in the Department of Civil and Environmental Engineering at the National University of Singapore (NUS). He holds concurrent roles as East Asian Regional Convener for RILEM and board member of ACI-Singapore Chapter. His research focuses on sustainable construction materials, particularly durability, microstructural characterization, and waste material utilization. Geng earned his PhD from UC Berkeley (2017), followed by postdoctoral research at the Paul Scherrer Institute (Switzerland). He has authored over 50 papers and leads multiple projects funded by Singapore’s Ministry of Education, Energy Center, and National Research Foundation. Education: Bachelor of Engineering, Southeast University, China (2010) Master of Science, UC Berkeley, USA (2013) PhD, UC Berkeley, USA (2017) Research interests center on sustainable construction materials, multi-scale characterization, and material durability . Key themes include recycling low-grade materials, mitigating degradation in concrete, and developing high-performance binders like LC3. His work employs advanced techniques like molecular modeling, X-ray diffraction, and NMR. Recent articles explore hydration kinetics, CSH matrix mechanics, and waste clay applications. Awards include the 2023 RILEM Medal and multiple teaching excellence recognitions. Current projects address CO 2 absorption, sustainable cement blends, and resilient façade materials. Professional service includes editorial roles at Cleaner Materials and Frontiers in Materials , plus organizing the 2022 EASEC Conference. His lab focuses on bridging microstructural insights with macro-scale material performance.

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Oscar P. Brunoمشاهده پروفایل

استاد

California Institute of Technology (Caltech)United States

Oscar P. Bruno is a Professor of Applied and Computational Mathematics at the California Institute of Technology (Caltech). He holds a Licenciado from the University of Buenos Aires (1982) and a Ph.D. in Mathematics from New York University's Courant Institute (1989). Since 1998, he has been a Professor at Caltech, previously serving as Associate Professor (1995–98) and Executive Officer for Applied Mathematics (1998–2000). His research focuses on developing high-performance numerical methods for solving partial differential equations (PDEs), addressing challenges in complex geometries, singularities, and high-frequency phenomena. Key contributions include the Fourier Continuation (FC) method and integral-equation techniques, enabling solutions to previously intractable PDE problems in science and engineering. Prof. Bruno's expertise spans computational electromagnetics, computational fluid dynamics (CFD), solid mechanics, and mathematical physics. His work integrates numerical analysis, multiphysics modeling, and computational science to solve real-world problems in geophysics, optics, and fluid dynamics. He has received numerous awards, including membership in the National Academy of Sciences of Argentina (2020), the Vannevar Bush National Security Science and Engineering Fellowship (2016), and SIAM Fellow (2013). Bruno serves on editorial boards for journals like SIAM Journal on Scientific Computing and SIAM Journal on Applied Mathematics, and participates in national science advisory roles. His teaching includes advanced courses on applied mathematics methods (ACM/IDS 101 ab), emphasizing theoretical foundations and numerical techniques for PDEs. His research group develops cutting-edge solvers with applications in shock dynamics, optical tomography, and geophysical fluid dynamics.

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Ronnie Sircarمشاهده پروفایل

استاد

Princeton UniversityUnited States

Ronnie Sircar is the Eugene Higgins Professor of Operations Research and Financial Engineering at Princeton University , where he contributes to the Department of Operations Research and Financial Engineering (ORFE). His work spans financial mathematics, stochastic modeling, and applied probability, with a focus on market volatility, optimal investment strategies, and dynamic game theory. Email: sircar@princeton.edu Office: Sherrerd Hall, Room 208, Princeton, NJ 08544 His research interests include: Stochastic Volatility: Asymptotic analysis, calibration, and impact on option pricing and portfolio optimization. Mean Field Games: Applications to cryptocurrency mining, energy markets, and interbank network formation. Portfolio Theory: Forward performance processes, drawdown constraints, and risk-averse strategies. Credit Risk: Multi-name credit derivatives, CDO valuation, and risk measures. Energy Systems: Renewable reliability, unit commitment, and electricity market design. Recent publications emphasize mean field games in energy and blockchain, stochastic volatility in portfolio optimization, and machine learning applications for financial engineering. He has advised graduate students such as Giulia Crippa, Nicolas Garcia, and Burak Aydin, often collaborating with researchers including M. Soner, P. Chan, and A.M. Reppen.

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Martin Larssonمشاهده پروفایل

استاد

Carnegie Mellon UniversityQatar

Martin Larsson is a Professor in the Department of Mathematical Sciences at Carnegie Mellon University (CMU), affiliated with the Mellon College of Science. He holds a Ph.D. from Cornell University and completed a postdoctoral appointment at the Swiss Finance Institute at EPFL, Lausanne, Switzerland. His research focuses on Mathematical Finance, stochastic analysis, probability, and statistics, with emphasis on affine and polynomial processes, stochastic portfolio theory, and sequential statistics. Key research domains include modeling interest rate term structures, large-scale equity market dynamics, and statistical testing in online settings. He serves as the Departmental representative for the Master of Science in Computational Finance (MSCF) program at CMU. Larsson has received the Bruti-Liberati Visiting Fellowship from the University of Technology Sydney. His work bridges theoretical probability with applications in finance, including contributions to stochastic volatility modeling, optimal contracts in trading, and robust portfolio optimization under uncertainty. Publications span topics such as martingale exit times, Wasserstein distance convergence, and ergodic control in stochastic systems, reflecting his interdisciplinary approach to mathematical finance and probability theory. His research often combines analytical techniques with stochastic control and geometric flows.

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Jin Maمشاهده پروفایل

استاد

University of Southern CaliforniaUnited States

Jin Ma is a Professor in the Department of Mathematics at the University of Southern California (USC), where he has served since 2007. He previously held professorships at Purdue University (1994–2008). His research focuses on stochastic analysis, stochastic differential equations, mathematical finance, and control theory. He directs USC's Mathematical Finance Program and serves on editorial boards for journals like Probability, Uncertainty and Quantitative Risk and SIAM Journal on Control and Optimization . Ma received his Ph.D. in Mathematics from the University of Minnesota (1992) and M.S./B.S. in Applied Mathematics from Fudan University (1985/1982). His work bridges theoretical stochastic analysis and applied domains like finance and insurance, with notable contributions to forward-backward SDEs and mean-field games. Research Highlights: Developed frameworks for stochastic control and backward SDEs in financial and insurance contexts. Advanced mean-field game models for limit order book dynamics and equilibrium analysis. Explored set-valued stochastic differential equations and their applications in risk management. Grants & Advising: Advised numerous graduate students in stochastic processes and mathematical finance. Research supported by NSF grants and industry collaborations.

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Alan Hammondمشاهده پروفایل

استاد

University of California, BerkeleyUnited States

Alan Hammond is a Professor in the Department of Statistics at the University of California, Berkeley. His research focuses on rigorous mathematical probability techniques applied to problems in statistical mechanics, including percolation theory, polymer models, and random growth processes. He has contributed to understanding critical phenomena, phase transitions, and universality classes in stochastic systems. Hammond's work spans topics such as KPZ universality, Brownian motion, and the geometry of random media. He has investigated models like last passage percolation, self-avoiding walks, and tug-of-war games, often uncovering deep connections between stochastic processes and nonlinear PDEs. His teaching includes courses on stochastic processes and statistical theory at both graduate and undergraduate levels. Notable research highlights include studies on fractal properties of Airy processes, stability in dynamical last passage percolation, and the behavior of geodesics in random environments. His contributions bridge probability theory with applications in physics and combinatorics.

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Justin Wanمشاهده پروفایل

استاد

University of WaterlooCanada

Justin Wan is a Professor in the Department of Computer Science at the University of Waterloo. His research focuses on scientific computing, medical image processing, computational finance, and machine learning. He holds a Ph.D. from UCLA (1998), an M.A. from UCLA (1995), and a B.Sc. from the Chinese University of Hong Kong (1992). Wan’s work bridges numerical methods, optimization, and deep learning, with applications in financial modeling, medical imaging, and fluid dynamics. His research interests include advanced techniques in scientific computing (e.g., multigrid methods), computer graphics simulation, and medical image enhancement (e.g., CT scan artifact reduction). He has pioneered applications of machine learning to computational finance, including option pricing and hedging using deep neural networks and GANs. His recent work explores denoising diffusion models and multi-agent systems for optimal execution in finance. Publications span topics like volatility surface computation, optimal mass transport for image registration, and parallel solvers for fluid dynamics. His methods address challenges in high-dimensional problems, robust numerical valuation, and scalable algorithms for large datasets. Wan collaborates across disciplines, integrating mathematical rigor with practical engineering solutions.

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Ke Zhangمشاهده پروفایل

استاد

University of TorontoCanada

Ke Zhang is a Professor in the Department of Mathematics at the University of Toronto. His research focuses on dynamical systems, particularly Hamiltonian dynamics, weak KAM theory, Arnold diffusion, and smooth dynamics. He also works on thermodynamic formalism and variational methods in Hamiltonian systems. B.S. in Mathematics from Tsinghua University Ph.D. in Mathematics from Pennsylvania State University under Yakov Pesin Postdoctoral research at University of Maryland and Fields Institute Ke Zhang's research explores instability phenomena in Hamiltonian systems (e.g., Arnold diffusion), viscosity solutions of Hamilton-Jacobi equations in weak KAM theory, and normal form/averaging theory. He has also contributed to vector calculus education through interactive Jupyter notebooks and teaching real analysis courses. He teaches courses such as MAT334 (Complex Variables), MAT1000/457 (Real Analysis I), MAT1001/458 (Real Analysis II), and MAT1845 (Dynamical Systems). The recent trends in his work align with geometric and analytical methods in dynamical systems, with applications to physics and nonlinear modeling. Ke Zhang maintains affiliations with institutions including the University of Toronto, University of Maryland, and Fields Institute. His educational background and postdoctoral training reflect a strong foundation in mathematical analysis and dynamical systems.

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Jeffrey Guastoمشاهده پروفایل

دانشیار

Tufts UniversityUnited States

Jeffrey Guasto , Associate Professor at Tufts University, holds joint appointments in the School of Engineering (Mechanical Engineering) and School of Arts and Sciences (Physics & Astronomy). His work bridges engineering, physics, and biology to study transport properties in complex systems. Ph.D., Engineering (2009), Brown University Sc.M., Engineering (2004), Brown University Dual B.S. in Physics and Mechanical Engineering (2003), Lehigh University Research Interests focus on: Biophysics : Flagellar mechanics, chemotaxis, cell-fluid interactions Soft Matter : Active suspensions, colloids, viscoelastic materials Microfluidics : Device design for cell motility studies and gradient generation Environmental Transport : Microbial ecology in porous systems Scientific Trends from his 77+ publications show emphasis on microscale fluid dynamics, bacterial transport mechanisms, and viscoelastic flow instabilities. His 2024 Nature Microbiology work reveals phage-infected bacteria driving marine chemotaxis, while 2023 PNAS research explores stress topology in viscoelastic flows. Scientific Awards : NSF CAREER Award (2016) for cell dispersal mechanisms Collaborative NSF grants (2015-2023) Advising includes mentoring 15+ students and postdocs. His grants portfolio features 9+ awards, notably NSF grants for viral-microbe interactions (2018) and flagellar mechanics (2020). Labs & Teams : Leads the Guasto Laboratory at Tufts, integrating microfluidics and high-speed imaging for studying microbial transport, while collaborating with MIT, Harvard, and international institutions.

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Paul G Dupuisمشاهده پروفایل

استاد

Brown UniversityUnited States

Paul G Dupuis is the IBM Professor of Applied Mathematics at Brown University. His research focuses on applications of probability theory, stochastic processes, control theory, and numerical methods. He holds affiliations with the American Mathematical Society, Society for Industrial and Applied Mathematics (SIAM), and the Institute for Mathematical Statistics (IMS). His work emphasizes large deviation theory, Markov chain approximations, Monte Carlo simulation, and partial differential equations. Education: Ph.D. in Applied Mathematics from Brown University (1985), M.S. from Northwestern University (1982), and B.S. from Brown University (1981). Research Interests: Control of deterministic and stochastic processes, differential games, numerical methods, operations research, and stochastic processes. His contributions include foundational work on large deviation theory, risk-sensitive control, and queueing networks. Awards: Elected SIAM Fellow (2010), Fellow of the Institute for Mathematical Statistics (2011), IBM Professor of Applied Mathematics (2012), and AMS Fellow (2014). Previously held an NSF Postdoctoral Fellowship (1985-1988). Grants: Current funding from the Army Research Office and National Science Foundation. Key collaborations include work on stochastic approximation, constrained diffusions, and reflected Brownian motion. Teaching: Courses include Operations Research: Probabilistic Models, Information Theory, and Advanced topics in Probability and Stochastic Control.

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Ronald G. Larsonمشاهده پروفایل

استاد

University of Michigan-Ann ArborUnited States

Ronald G. Larson serves as the George Granger Brown Professor of Chemical Engineering and A. H. White Distinguished University Professor at the University of Michigan's College of Engineering, with additional appointments in Mechanical Engineering and Macromolecular Science & Engineering. His research leadership spans multiple departments within the Chemical Engineering Division, where he directs the Larson Lab focused on fundamental and applied soft matter physics. His research program investigates complex fluids through computational and theoretical frameworks, emphasizing polymer physics, rheology, and molecular simulations. Key thrusts include polymer melt processing, biomembrane dynamics, colloidal systems, and polyelectrolyte coacervation. The group employs advanced techniques like Brownian dynamics, coarse-grained modeling, and multiscale simulation to address challenges ranging from industrial polymer processing to biomedical applications. Recent publications (2023-2025) reveal strong momentum in rheological modeling of complex fluids, with particular emphasis on self-healing materials, wax deposition in pipelines, and crystallization mechanisms. The work bridges fundamental molecular insights with industrial applications, demonstrating consistent high-impact output across polymer science, soft matter physics, and chemical engineering domains. The Larson Lab operates as a collaborative hub within the Chemical Engineering Department, leveraging computational resources to advance understanding of fluid mechanics and material properties. Current projects integrate machine learning with traditional modeling approaches, reflecting the group's commitment to methodological innovation while maintaining strong connections to experimental validation and real-world engineering problems.

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Edward L. Quitevisمشاهده پروفایل

استاد

Texas Tech UniversityUnited States

Dr. Edward L. Quitevis is a Professor in the Department of Chemistry and Biochemistry at Texas Tech University, holding joint appointments in Physics. He earned his Ph.D. from Harvard University (1981) and completed postdoctoral research at the University of Toronto (1981-1984). His research focuses on the dynamics of complex fluids, particularly ionic liquids and supercooled liquids, using advanced techniques like optical heterodyne-detected Raman-induced Kerr effect spectroscopy (OHD-RIKES) and fluorescence recovery after photobleaching (FRAP). Key interests include nanostructural organization in ionic liquids, intermolecular dynamics, and the glass transition phenomenon in supercooled systems. Current research themes include understanding the relationship between nanostructure and dynamics in ionic liquids, studying ultraslow translational/rotational diffusion near the glass transition, and exploring applications of ionic liquids in materials science. His group has developed novel insights into the role of cation-anion interactions and nanoscale segregation in these systems. Dr. Quitevis collaborates widely, with publications in top journals like Physical Chemistry Chemical Physics and Journal of Chemical Physics . Students advised include Jagdeep Kaur, Dujuan Meng, Mahesh Thakurathi, and Sophia Sagala. His lab focuses on experimental and theoretical approaches to probe liquid-state dynamics, with recent work on cellulose dissolution, graphene exfoliation in ionic liquids, and lubrication applications.

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Süli Endreمشاهده پروفایل

استاد

Graz University of TechnologyAustria

Endre Süli is a Professor of Numerical Analysis at the University of Oxford, affiliated with Worcester College and Linacre College. He has held various academic roles since 1985, including Fellowships and Tutorships in Mathematics. University Education: B.Sc. in Mathematics, University of Belgrade (1974-1978) M.Sc. in Mathematics, University of Belgrade (1978-1980) Ph.D. in Mathematics, University of Belgrade (1985) M.A., University of Oxford (1985) British Council Visiting Student, Reading University and University of Oxford (1983/84) Süli's research focuses on numerical methods for partial differential equations (PDEs), with expertise in finite element methods, adaptive algorithms, error control, and computational modeling of fractures and non-Newtonian fluids. His work bridges mathematical theory and practical applications in fluid dynamics and material science. His recent publications emphasize finite element approximations, nonlinear PDEs, and stochastic models for polymer dynamics. Themes include multiscale methods, tensor-sparsity for high-dimensional problems, and compressible flow simulations. Scientific Awards: Fellow of the Royal Society (2021) London Mathematical Society Naylor Prize and Lectureship (2021) Pro Urbe Prize, City of Subotica (2021) SIAM Fellow (2016) Member, Academia Europaea (2020) Foreign Member, Serbian National Academy of Sciences and Arts (2009) IMA Service Award (2011) Fellow, European Academy of Sciences (EurASc) (2010) Fellow, Institute of Mathematics and its Applications (2007) London Mathematical Society/New Zealand Mathematical Society Forder Lecturer (2015) Professor Hospitus, Charles University, Prague (2012) Distinguished Visiting Chair Professor, Shanghai Jiao Tong University (2013) Invited Speaker, International Congress of Mathematicians, Madrid (2006) Süli has supervised numerous research projects and held visiting appointments globally. His contributions to numerical analysis span foundational work on error estimation, nonlinear stability, and advanced computational frameworks for complex physical systems.

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Guillermo Ferreyraمشاهده پروفایل

استاد

Louisiana State UniversityUnited States

Guillermo Ferreyra is a Professor in the Department of Mathematics at Louisiana State University (LSU), where he has served since 1996. He holds a Ph.D. from Rutgers University (1983) and a Licenciado from the Universidad de Córdoba, Argentina (1977). His research focuses on Deterministic and Stochastic Control Theory, Partial Differential Equations, Probability Theory, and Financial Mathematics. Ferreyra has held significant administrative roles, including Associate Dean for Science Education (2012–present), Deputy Superintendent of the Office of STEM at the Louisiana Department of Education (2010–2012), and Dean of the College of Arts and Sciences at LSU (2004–2009). He has led initiatives to enhance STEM education, including professional development programs for K-12 teachers and strategies to improve 8th-grade math achievement. Ferreyra’s academic contributions include over 30 journal articles and co-edited volumes on evolution equations and control theory. He has advised five Ph.D. students and secured millions in grants for interdisciplinary research and educational initiatives. His administrative achievements at LSU include expanding faculty diversity, improving student advising, and fostering interdisciplinary programs such as the China Initiative. He has also contributed to statewide education reforms, including planning for the Common Core State Standards. Ferreyra is a member of the American Mathematical Society and has served on national evaluation committees and grant review panels. Publications highlight his work in stochastic control, free boundary problems, and applications to finance and advertising models. His research bridges theoretical mathematics with practical applications, such as the mathematical underpinnings of the 1997 Nobel Prize in Economics for the Black-Scholes formula.

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