جستجوی استاد راهنمای دانشگاهی

Yukun Li is an Associate Professor in the Department of Mathematics at the University of Central Florida (UCF), part of the College of Sciences. His research focuses on numerical analysis, stochastic partial differential equations, and computational finance. He holds a Ph.D. in Mathematics from the University of Tennessee, Knoxville (2010-2015), followed by postdoctoral roles at Penn State (2015-2016) and The Ohio State University (2016-2019). He has secured grants including NSF REU funding (2023-2026) and led an NSF-funded project on stochastic phase field models (2021-2025). Research interests include: Continuous/Discontinuous Finite Element Methods Numerical Solutions of Stochastic ODEs/PDEs Adaptive Algorithms and Fast Solvers Computational Finance Models Recent publications emphasize stochastic wave equations, phase field models, and financial mathematics. His work spans theoretical analysis and numerical methods for complex systems. Notable recognition includes the 2015 Achievement Award from the University of Tennessee's Mathematics Department. Teaching highlights include advanced graduate courses like Computational Methods for Financial Mathematics and Numerical Linear Algebra, alongside contributions to undergraduate mathematics education. He is proficient in computational tools including MATLAB, Python, FEniCS, and MPI.

• Finite Element Methods
• Numerical Solutions of Stochastic Differential Equations
• Adaptive Methods
• +۳ مورد دیگر

Associate Professor Jiakun Liu (FAustMS) is affiliated with the School of Mathematics and Statistics, University of Sydney . He holds a BSc from Zhejiang University (2006) and a PhD from the Australian National University (2010). Following a Simons Postdoctoral Fellowship at Princeton (2010-2013), he served as Lecturer, Senior Lecturer, and Associate Professor at the University of Wollongong (2013-2024), securing an ARC DECRA in 2014 and an ARC Future Fellowship in 2024. Specializes in nonlinear elliptic/parabolic PDEs with applications in geometry and optimal transportation Research focuses on Monge-Ampère/Hessian equations , regularity theory, and geometric flows Contributions to convex geometry , minimal surfaces, and stochastic PDEs . His 2024-2023 publications in Communications on Pure and Applied Mathematics , Advanced Nonlinear Studies , and Archive for Rational Mechanics demonstrate expertise in free boundary regularity , noncompact Minkowski problems , and global geometric analysis . Recognized with ARC Future Fellowship and conferences organized across Australia-China collaborations.

• Nonlinear Elliptic and Parabolic Partial Differential Equ.ations
• Regularity Theory of Monge-Ampère Equations
• Hessian Equations
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Daniela De Silva is the Olin Professor of Mathematics and Chair of the Department of Mathematics at Barnard College, Columbia University. She holds a B.A. from the University of Naples Federico II and a Ph.D. from the Massachusetts Institute of Technology (MIT). Her research focuses on partial differential equations (PDEs), particularly free boundary problems and geometric analysis. She teaches advanced courses such as Calculus and Analysis at Barnard and organizes the Geometry and Analysis seminar at Columbia University. Her work explores regularity theory for free boundaries, phase transitions, and harmonic analysis. Notably, her contributions include studies on energy-minimizing free boundaries and monotonicity formulas. De Silva has also contributed to nonlinear Schrödinger equations and has held academic positions at institutions like Johns Hopkins University and MIT before joining Barnard in 2007. Her research interests span theoretical and applied aspects of PDEs, with a focus on geometric implications and singularities. While her work has been featured in prestigious journals like Comm. on Pure and Applied Math , Duke Math. J. , and Indiana Univ. Math. J. , she remains active in academic outreach, including discussions on topics like the mathematics of melting ice and the significance of π in popular media.

• Partial Differential Equations
• Free Boundary Problems
• Harmonic Analysis
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Cristiana De Filippis serves as Associate Professor in the Department of Mathematical, Physical and Computer Sciences at the University of Parma. Her academic journey includes a Bachelor's degree from the University of Torino (2014), Master's from University of Milano-Bicocca (2016), and PhD from the University of Oxford (2020), followed by a tenure-track position at Parma since 2021 and habilitation to full professorship in 2023. Her research focuses on Mathematical Analysis , particularly Regularity Theory for elliptic and parabolic partial differential equations and the Calculus of Variations . She investigates fundamental properties of solutions to nonlinear PDEs, including sharp growth conditions, nonuniform ellipticity, and double-phase functionals. Her work bridges abstract mathematical theory with applications in physics and engineering through rigorous analysis of solution behavior. Analysis of her 15 most recent publications reveals a concentrated research program in nonuniformly elliptic systems (2022-2025), double-phase variational problems (2023-2024), and gradient regularity under irregular coefficients (2020-2024). Key contributions include establishing sharp growth rates in Schauder theory and developing novel techniques for nearly linear growth conditions. European Mathematical Society Prize 2024 Bartolozzi Prize 2023 (Italian Mathematical Union) Iapichino Prize 2020 (Accademia dei Lincei) Premio per la Cultura Mediterranea 2023 G-Research Prize 2019 Forbes 100 Most Successful Italian Women 2023 European Mathematical Society Young Academy (inaugural cohort) Professor De Filippis has delivered invited lectures at prestigious institutions including Erwin Schrödinger Institute (2025), Charles University Prague (2024), and Accademia Nazionale dei Lincei (2022). She teaches Mathematical Analysis courses for Computer Science, Geological Sciences, and Management Engineering programs at undergraduate level. Her research is supported through multiple international collaborations, particularly with Giuseppe Mingione at Parma and researchers at European institutions.

• Mathematical Analysis
• Partial Differential Equations
• Calculus of Variations
• +۳ مورد دیگر

Michael J. Neilan is a Professor and Director of Graduate Studies in the Department of Mathematics at the University of Pittsburgh, part of the Dietrich School of Arts and Sciences. His research focuses on computational and applied mathematics, with emphasis on the finite element method, numerical approximations for nonlinear PDEs, and structure-preserving discretizations for incompressible fluid models and surface PDEs. Education: PhD in Mathematics, University of Tennessee, 2009 Research Interests: Computational PDEs, finite element methods, structure-preserving discretizations, incompressible fluid dynamics, surface PDEs, fully nonlinear PDEs (e.g., Monge-Ampère equations, optimal transport), and discontinuous Galerkin methods. Publications Trends: His work bridges theoretical analysis and computational implementation, with key contributions to mixed finite element methods, divergence-free formulations, and numerical techniques for nonlinear PDEs. Recent focus includes Monge-Ampère equations and stability analyses for fluid flow models. Editorial Roles: Managing Editor, Mathematics of Computation Associate Editor, IMA Journal of Numerical Analysis Associate Editor, Calcolo Associate Editor, Journal of Numerical Mathematics Professional Activities: Co-organizer of the Finite Element Circus, a leading conference in finite element theory and applications.

• Computational and Applied Mathematics
• Numerical Analysis
• Scientific Computing
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Pengfei Guan is a Distinguished James McGill Professor in the Department of Mathematics and Statistics at McGill University. He specializes in geometric analysis and nonlinear partial differential equations, with a focus on curvature flows, prescribed curvature problems, and fully nonlinear PDEs. His research bridges differential geometry and analysis, addressing topics such as the Christoffel-Minkowski problem, quermassintegral inequalities, and geometric flows in warped product spaces. Notable contributions include advancements in curvature estimates for hypersurfaces, entropy analysis in Gauss curvature flows, and proofs of uniqueness theorems for convex surfaces. Guan's work often appears in top-tier journals like Duke Math Journal, Inventiones Mathematicae, and Communications on Pure and Applied Mathematics. He maintains active collaborations in geometric analysis and hosts the Geometric Analysis Seminar at McGill. His research interests are reflected in publications spanning geometric flows, curvature equations, and the interplay between PDE theory and geometric structures.

• Geometric Analysis
• Nonlinear Partial Differential Equations
• Differential Geometry
• +۱ مورد دیگر

Indranil Chowdhury is an Assistant Professor in the Department of Mathematics and Statistics at the Indian Institute of Technology Kanpur. He holds a Ph.D. from Tata Institute of Fundamental Research, Centre for Applicable Mathematics in Bengaluru (2017) and has previously served as a Postdoctoral Researcher at University of Zagreb, Croatia (2020-2022) and Norwegian University of Science and Technology, Trondheim, Norway (2018-2020). Ph.D: Tata Institute of Fundamental Research, Centre for Applicable Mathematics, Bengaluru, India (2017) PG: Tata Institute of Fundamental Research, Centre for Applicable Mathematics, Bengaluru, India (2012) UG: St. Xavier's College, Kolkata, India (2010) Dr. Chowdhury's research focuses on the theory and numerical analysis of partial differential equations, with particular expertise in nonlocal and fractional order problems and fully nonlinear equations. His work bridges theoretical mathematics with practical applications in areas such as mean field games, optimal control, and mathematical modeling. His research program demonstrates a consistent trajectory of advancing the mathematical understanding of complex nonlocal phenomena through rigorous analytical techniques and innovative numerical methods. His publication record reveals a strong focus on fractional calculus, nonlocal diffusion processes, and mean field games. The research shows progression from foundational work on fractional Poincaré inequalities to increasingly sophisticated studies of fully nonlinear mean field games with both local and nonlocal diffusions. His recent work (2023-2025) demonstrates continued innovation in the field, particularly in addressing strongly degenerate cases and establishing precise error bounds for numerical approximations. Dr. Chowdhury maintains an active research program with consistent publication output in high-impact journals such as Foundations of Computational Mathematics, SIAM Journal on Numerical Analysis, and Discrete and Continuous Dynamical Systems. His collaborative work with researchers across international institutions reflects the global significance of his contributions to the field of nonlocal partial differential equations.

• Theory and Numerical Analysis of PDEs
• Nonlocal/Fractional order Problems
• Fully Nonlinear Equations

Susanne C. Brenner is a Boyd Professor at Louisiana State University, holding a joint appointment between the Department of Mathematics and the Center for Computation & Technology (CCT). She has served as Associate Director for Academic Affairs at CCT since 2008. Brenner's research focuses on numerical analysis, scientific computing, and computational methods across mechanics, electromagnetics, and PDEs. She has held leadership roles including President of SIAM (2021-2022), and has been recognized with prestigious awards such as the Humboldt Research Award and SIAM Fellowship. Editorial Roles: Managing Editor of Mathematics of Computation, Editor-in-Chief of SIAM Classics in Applied Mathematics, and member of editorial boards for SIAM Journal on Numerical Analysis, Numerische Mathematik, and others. Service: NSF MPS Advisory Committee (2016-2022), AAAS Section A Member (2017-2021), and Scientific Advisory Boards for institutions like Weierstrass Institute and Hausdorff Center for Mathematics. Her contributions span academic leadership, computational mathematics research, and international collaboration. Brenner has held visiting positions globally and serves on panels for funding agencies like the ERC and DFG.

• Numerical Analysis
• Scientific Computing
• Finite Element Methods
• +۸ مورد دیگر

Prof. Boris Vexler, born in 1977 in Moscow, Russia, is a Professor of Optimal Control at the TUM Department of Mathematics under the TUM School of Computation, Information and Technology . He has served as Dean of Studies since 2015 and as speaker of the International Research Training Group IGDK 1754 since 2012. Education: Diploma (2000) and Ph.D. (2004) in Mathematics from the University of Heidelberg; Habilitation (2008) from the University of Graz. His research focuses on numerical analysis of partial differential equations (PDEs) , particularly finite element methods for optimal control problems governed by parabolic, elliptic, and hyperbolic PDEs. Key contributions include error estimates , adaptive discretization , and handling state constraints and measure-valued controls . Recent publications emphasize transient Stokes equations , Navier-Stokes control , and sparsity-constrained optimization . His work often integrates scientific computing and uncertainty quantification . Scientific Awards: Award for best supervisor of the elite degree program TopMath (2018) Finalist, ECCOMAS Prize for best dissertation (2005) Leslie Fox Prize in Numerical Analysis, 2nd place (2004)

• Numerical Analysis
• Optimal Control
• Partial Differential Equ as Mathematics (summa cum laude)
• +۱۰ مورد دیگر

Jakob Wagner is a Research Fellow at the Technical University of Munich (TUM), affiliated with the School of Computation, Information and Technology and the Department of Mathematics. He works within the Chair of Optimal Control under Prof. Boris Vexler and serves as an Invited Lecturer at Kutaisi International University in Georgia since 2022. His educational background includes a Master's degree in Mathematics from TUM (2019-2020, grade 1.0) and a Bachelor's degree in Mathematics from TUM (2014-2018, grade 1.2). Wagner's research focuses on Optimal Control of fluid dynamics equations, particularly the Navier-Stokes and Stokes systems. He specializes in Finite Element Methods and rigorous Error Estimates for discretizations of partial differential equations. His work addresses time-dependent problems, state constraints, and boundary control mechanisms in computational fluid dynamics, with significant contributions to stream-function formulations and pressure boundary conditions. Analysis of his publication record reveals a concentrated research trajectory in numerical analysis of incompressible flow control. His work consistently advances theoretical foundations for finite element discretizations, emphasizing fully discrete error analysis and pointwise constraints across Stokes and Navier-Stokes frameworks. Key innovations include novel approaches to blood flow modeling and ocean current reconstruction through coupled ODE systems. Wagner actively mentors students, supervising Master's theses by Alexandro Jedaidi (2025, ocean current reconstruction), Chenhong Lin (2025, Stokes equations), and Hendrik Bruhse (2023, parabolic problems), plus Noah An der Lan's Bachelor thesis (2025, Bayesian experiment design). His teaching portfolio spans Analysis, Optimization, and Numerical Methods courses at TUM and Kutaisi International University. He operates within TUM's Chair of Optimal Control research ecosystem, contributing to international collaborations through conference presentations at GAMM Annual Meetings and specialized symposia, while maintaining active involvement in computational mathematics projects including robotic swarm applications for radio imaging.

• Optimal Control
• Numerical Analysis
• Finite Element Methods
• +۲ مورد دیگر

Ben Andrews is a Professor and ARC Laureate Fellow at the Centre for Mathematics and its Applications within the Mathematical Sciences Institute at the Australian National University (ANU). He holds multiple prestigious fellowships including Fellow of the Australian Academy of Science, Fellow of the American Mathematical Society, and Fellow of the Australian Mathematical Society. His office is located in Room 2131B of the John Dedman Mathematical Sciences Building. Andrews received his BSc and PhD from ANU. His research spans multiple areas of geometric analysis with particular focus on differential geometry and partial differential equations. His work includes extensive investigations into curvature flows, geometric evolution equations, and their applications to problems in mathematical physics. Andrews' research demonstrates a consistent focus on understanding curvature flows from multiple perspectives - developing new techniques like non-collapsing estimates, cylindrical estimates, and modulus of continuity methods. His work bridges pure mathematics with applications in physics and geometry, with significant contributions to understanding the asymptotic behavior of geometric evolution equations. His publications reveal a progression from foundational work on curve shortening and Gauss curvature flows to more complex settings including hypersurfaces in non-Euclidean spaces and flows with non-smooth speeds. Fellow of the Australian Academy of Science Fellow of the American Mathematical Society Fellow of the Australian Mathematical Society ARC Laureate fellow As an ARC Laureate fellow, Andrews leads significant research initiatives in geometric analysis. He has supervised numerous PhD students including Charles Baker, Huy Nguyen, Chris Hopper, Paul Bryan, and Julie Clutterbuck, many of whom have become active researchers in geometric analysis. His collaborative work spans multiple institutions and has resulted in fundamental contributions to the field of geometric evolution equations. Andrews is an active member of the Applied and Nonlinear Analysis Research Group within the Mathematical Sciences Institute at ANU, where he contributes to both research and academic community building through seminars and collaborative projects.

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

Shigeaki Koike is a Professor at Waseda University's School of Advanced Science and Engineering, specializing in viscosity solution theory for partial differential equations. He has held academic positions at Waseda University since 2019, following professorships at Tohoku University (2012-2019) and Saitama University (2006-2012). His academic journey began at Waseda University where he completed both his undergraduate studies (1981) in Physics and his graduate studies (1988). His research focuses on viscosity solution theory , particularly for fully nonlinear partial differential equations . Key areas include maximum principles (especially ABP-type), regularity theory for equations with unbounded coefficients, obstacle problems, and integro-differential equations. His work provides fundamental theoretical frameworks for analyzing nonlinear phenomena in mathematical physics and engineering applications. His publication record shows consistent research output with 37 papers and 517 citations (h-index 13) as of 2025. His recent work (2015-2024) demonstrates continued leadership in the field, with emphasis on equations with unbounded terms, obstacle problems, and regularity results. His research shows a clear progression from foundational theory to increasingly complex applications. Analysis Prize (2016) from Japanese Mathematical Society for work on Lp viscosity solution theory JMSJ Outstanding Paper Prize (2010) from Japanese Mathematical Society Professor Koike serves on committees for the Japanese Mathematical Society and has participated in numerous international conferences as an invited speaker. His current research project (2020-2025) focuses on regularity theory for viscosity solutions of fully nonlinear equations and applications. His work bridges pure mathematical analysis with applications in physics and engineering, demonstrating the power of viscosity solution methods in handling complex nonlinear phenomena.

• Viscosity Solution Theory
• Partial Differential Equations
• Nonlinear Analysis
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Bo Guan is a Professor in the Department of Mathematics at The Ohio State University, affiliated with the College of Arts and Sciences. He holds a PhD from the University of Massachusetts (1992). His research focuses on Partial Differential Equations and Geometric Analysis, with particular expertise in nonlinear elliptic equations, geometric flows, and problems on Riemannian and Hermitian manifolds. His work often bridges differential geometry and PDEs, addressing topics such as curvature equations, Monge-Ampère systems, and geometric boundary value problems. Key contributions include studies on convex hypersurfaces in hyperbolic spaces, Dirichlet problems for complex Monge-Ampère equations, and second-order estimates for fully nonlinear elliptic equations. His research also explores applications in conformal geometry, spacelike hypersurfaces in Minkowski space, and the asymptotic Plateau problem. Guan has published extensively in top-tier journals like Duke Math. J., Adv. Math., and the Journal of Differential Geometry. His teaching responsibilities include courses such as Math 2177 and Math 4512. His office is located at MW518, with contact details available via email and phone.

• Partial Differential Equations
• Geometric Analysis
• Differential Geometry
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Anis Matoussi is a Professor of Applied Mathematics at Le Mans University and serves as the Director of the Institut du Risque et de l'Assurance du Mans. He coordinates the master's program in Actuarial Science and leads multiple research initiatives, including ANR DREAMeS (2021-2025) and ITCA (Groupama, Fondation du Risque). Role: Professor, Applied Mathematics Institution: Le Mans University Research Leadership: Director of Institut du Risque et de l'Assurance, Head of Master Actuarial Science His research focuses on stochastic control, backward stochastic differential equations (BSDEs), and their applications in finance, insurance, and energy systems. He has developed numerical methods for second-order BSDEs and studied stochastic nonlinear PDEs, maximum principles for SPDEs, and extended mean field control models. Recent projects include the application of deep learning to forward utilities via ergodic BSDEs and multivariate risk measures. Matoussi has supervised numerous PhD students, including current advisees Zakaria Bensa (industrial thesis with Natixis) and Lucas Da Silva (co-supervised with Caroline Hillairet). Former students like Achraf Tamtalini (Bank of America) and Jing Zhang (Fudan University) hold prominent positions globally. His work includes collaborations on smart grids, control of electrical systems, and robust utility maximization under uncertainty. Publications span journals in applied mathematics, optimization, probability, and financial mathematics, with recent emphasis on numerical schemes and probabilistic representations.

• Stochastic Control
• Backward Stochastic Differential Equations (BSDEs)
• Actuarial Science
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Ko Woon Ohm is an Assistant Teaching Professor in the Department of Mathematics at the University of California, Berkeley, appointed in 2025. He holds a Senate Faculty position and currently teaches Math 51 in Fall 2025. Previous appointments include the University of California, San Diego (2011-2025), University of Texas at Austin (2011-2014), and ETH Zurich (2014). His research centers on Partial Differential Equations with emphasis on regularity theory for elliptic/parabolic equations, free boundary problems, fully nonlinear equations, homogenization, and Fourier analysis. This work bridges theoretical mathematics with applications in geometric measure theory and physical modeling. Recent publications demonstrate consistent focus on projection theorems in harmonic analysis (2023-2024) and elliptic equation regularity in non-smooth domains (2012), revealing interdisciplinary connections between geometric structures and analytical methods in PDEs.

• Partial Differential Equations
• Fourier Analysis
• Regularity Theory
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