جست‌وجوی استاد و پژوهشگر

Gui-Qiang G. Chenمشاهده پروفایل

استاد

• Partial Differential Equations
• Nonlinear Analysis
• Hyperbolic Conservation Laws
• +۱۲ مورد دیگر

Gui-Qiang G. Chen is a Professor at the Mathematical Institute , University of Oxford, and a Professorial Fellow of Keble College. He serves as Director of the Oxford Centre for Nonlinear Partial Differential Equations (OxPDE) , focusing on nonlinear PDEs, hyperbolic conservation laws, and their applications to fluid dynamics, geometry, and mathematical physics. His research spans Partial Differential Equations , Nonlinear Analysis , Shock Wave Theory , and Free Boundary Problems , with recent work on stochastic PDEs , geometric PDEs , and numerical analysis . His publications cover topics like transonic shocks , hypersonic flow , and compressible fluid dynamics . Gui-Qiang Chen has co-authored 15+ major publications since 2007, including research monographs on shock reflection-diffraction and Prandtl-Meyer reflection configurations , and his work appears in leading journals like Annals of Mathematics and Communications on Pure and Applied Mathematics . Awards and fellowships include: 2024 Polya Prize (London Mathematical Society) Doctor of Science (Oxford, 2024) Member of Academia Europaea (2022) Member of the European Academy of Sciences (2020) Fellow of the American Mathematical Society (2017) SIAM Fellow (2013) Chinese National Prize of Sciences (1990) He supervises DPhil/PhD students in nonlinear PDEs and related fields, and his research is supported by Oxford's mathematical infrastructure and international collaborations.

• Numerical Analysis
• Uncertainty Quantification
• Inverse Problems
• +۳ مورد دیگر

Oliver G. Ernst is a Professor of Numerical Analysis at Technische Universität Chemnitz . His research focuses on Numerical Analysis , Uncertainty Quantification , and Inverse Problems , with applications in Thermo-Hydro-Mechanical (THM) processes , Electromagnetics , and Stochastic Partial Differential Equations . He is associated with the Numerical Analysis group at TU Chemnitz. Key Research Areas : Efficient numerical methods for PDEs Krylov subspace techniques Stochastic finite element methods Multi-physics modeling Geoscientific applications Recent Publications (2025-2010): THM simulations under uncertainty Neural network PDE solvers Bayesian inversion frameworks Rational Krylov algorithms Deflated restarting strategies Collaborations : TU Bergakademie Freiberg University of Manchester Technical University of Munich University of Maryland University of Geneva Software Development : Contributor to OpenGeoSys platform Developer of FEMALY MATLAB library Academic Recognition : h-index 32, i10-index 66, with over 4423 citations since 2020.

Wang-Hung Tseمشاهده پروفایل

پژوهشگر

• Applied Mathematics
• Pattern Formation
• Computational Biology
• +۳ مورد دیگر

Dr. Wang-Hung Tse is a researcher and faculty member in the Department of Mathematics at Trinity Western University (TWU), affiliated with the Faculty of Natural & Applied Sciences. He holds a PhD from the University of British Columbia (2016) and an MPhil from The Chinese University of Hong Kong (2009). His primary research focuses on pattern formation in biological systems, nonlinear dynamics, and the integration of machine learning with experimental data analysis. He has contributed to studies on crime hotspot dynamics, biological morphogenesis, and satellite data assimilation. Dr. Tse has taught courses including Differential Equations (MATH 321), Calculus III (MATH 223), and Business Mathematics (MATH 101). His interdisciplinary research emphasizes reproducible outcomes and involves agent-based modeling, computational simulations, and mathematical analysis of complex systems. Recent work includes collaborations on sea surface temperature modeling and crime pattern stability. His research methodologies span applied mathematical analysis of singularly perturbed systems, numerical bifurcation methods, and high-performance computing for large-scale simulations. Key contributions include studies on localized stripe stability in reaction-diffusion systems and the interplay between Gaussian curvature and pattern formation on Riemannian manifolds.

• Partial Differential Equations
• Nonlinear Analysis
• Elliptic Equations
• +۳ مورد دیگر

Craig Cowan is an Associate Professor in the Department of Mathematics at the University of Manitoba, located in Winnipeg, Manitoba. He is affiliated with the Faculty of Science and focuses on research in Analysis of Partial Differential Equations, particularly elliptic equations with nonlinear gradient terms and critical advection. His work explores existence, regularity, and symmetry properties of solutions to supercritical problems, often involving mixed local/nonlocal operators and Neumann boundary conditions. Research interests include: Elliptic systems, Fourth-order equations, Supercritical growth phenomena, and Nonlinear advection-diffusion models. His studies frequently address questions of regularity of extremal solutions, stability of entire solutions, and Liouville-type theorems. Publications since 2021 reflect a focus on advancing methodologies for supercritical problems via variational principles and fixed-point arguments, with applications to nonradial domains and perturbed geometries. Recent work examines singular solutions, Neumann problems with mixed diffusion, and Hénon-type equations. No academic awards or formal advisees are listed in the provided materials. His research has consistently addressed challenges in nonlinear PDEs across diverse domains, emphasizing both theoretical developments and technical estimates for gradient-dependent systems.

Andrea Tosinمشاهده پروفایل

استاد

• Mathematical Physics
• Kinetic Theory
• Transport and Diffusion Equations
• +۷ مورد دیگر

Andrea Tosin is a Full Professor of Mathematical Physics at the Department of Mathematical Sciences "G. L. Lagrange" (DISMA), Politecnico di Torino. He serves as Coordinator of the Doctoral College of Mathematical Sciences and Deputy Coordinator of the Doctoral College of Pure and Applied Mathematics. His research bridges kinetic theory, transport equations, and applied mathematics with applications in multi-agent systems, traffic, social dynamics, and epidemiology. His research interests focus on: Kinetic theory and its applications to real-world systems Transport and diffusion equations in complex environments Modeling of vehicular traffic, crowd dynamics, and social behavior Epidemiological modeling with a focus on viral load and multi-scale dynamics Mathematical modeling of collective behavior in biological and social systems His recent publications demonstrate a consistent trend in developing and analyzing kinetic models for traffic flow, opinion dynamics, and epidemic spread, often incorporating uncertainty, network structures, and multi-population interactions. These works frequently involve rigorous mathematical derivations from microscopic models to macroscopic equations, with applications in safety, public health, and urban planning. His scientific awards include: SIMAI Biennial Award (2013) INDAM-SIMAI Award (2010) He actively supervises PhD students and postdoctoral researchers, including Martina Fraia, Emanuele Bernardi, Elisa Paparelli, and Mattia Sensi. He has secured significant research grants from national (PRIN, INdAM) and institutional (Politecnico di Torino, Google) sources. His research is supported by projects such as IMASED (Integrated Mathematical Approaches to Socio-Epidemiological Dynamics) and ANATOMY (A Unitary Mathematical Framework for Modelling Muscular Dystrophies). He also leads the "Modelli e Metodi della Fisica Matematica" research group at DISMA.

Yulong Liمشاهده پروفایل

استادیار

• Fractional Calculus
• Fractional Differential Equations
• Fractional Sobolev Spaces
• +۷ مورد دیگر

Yulong Li is an Assistant Professor in the Department of Mathematics at the University of Dayton, part of the College of Arts and Sciences. He is a full-time faculty member with a strong research focus in mathematical analysis, particularly in fractional calculus and related differential equations. His academic journey includes a Ph.D. from the University of Wyoming, postdoctoral experience at the University of Nevada, Reno, and a research fellowship at the Singapore University of Technology and Design. Ph.D., Mathematics, University of Wyoming, 2019 M.S., Mathematical Physics, Capital Normal University, 2015 B.A., Mathematics and Applied Mathematics, Jilin Normal University, 2012 Dr. Li's research centers on fractional calculus , fractional differential equations , fractional Sobolev spaces , singular integral equations , and special functions . His work explores the theoretical foundations of nonlocal operators, boundary value problems, and spectral properties of fractional elliptic equations. He investigates regularity, existence, and uniqueness of solutions in fractional settings, contributing to both pure and applied mathematical analysis. The trend in his recent publications (2019–2025) shows a consistent focus on analytical and functional aspects of fractional diffusion, advection-reaction equations, and nonlocal elliptic operators. His articles frequently appear in specialized journals such as Fractional Calculus and Applied Analysis and Communications on Pure and Applied Analysis , emphasizing rigorous mathematical proofs, integral representations, and spectral analysis. Topics include maximum principles, eigenvalue problems, and solution decomposition in fractional frameworks. Although no scientific awards are mentioned in the provided text, his publication record indicates active scholarly contributions. There is no information available about grants or student advising in the current materials. Dr. Li has been involved in research collaborations, notably with V. Ginting and others, focusing on computational and theoretical aspects of fractional equations. His work bridges abstract analysis with potential applications in physics and engineering, particularly in modeling anomalous diffusion processes.

• Applied and computational mathematics
• Industrial modelling and optimization
• Financial engineering
• +۴ مورد دیگر

Professor Yong Wu holds the position of John Curtin Distinguished Professor at Curtin University's School of Electrical Engineering, Computing and Mathematical Sciences (EECMS), within the Faculty of Science and Engineering. He obtained his PhD from the University of Wollongong (1990) and has been a faculty member at Curtin since 1993, progressing through roles including Lecturer, Senior Lecturer, and Professor. His research focuses on applied and computational mathematics, industrial optimization, and financial engineering with applications in traffic flow control, asset-liability management, and insurance strategy optimization. Education: PhD (Mathematics) from University of Wollongong (1990), followed by postdoctoral research at the same institution before joining Curtin University in 1993. Research Interests: Applied Mathematics: Fractional differential equations, nonlinear systems, and PDEs Industrial Modeling: Optimization algorithms and traffic flow dynamics Financial Engineering: Blockchain-based investment systems and risk management Key Contributions: Over 300 peer-reviewed articles in journals like Journal of Differential Equations and Nonlinear Analysis Recipient of 13 competitive grants including ARC and NSFC funding Listed as Clarivate Analytics Web of Science Highly Cited Researcher Labs/Teams: Active in interdisciplinary research groups focusing on computational mathematics, financial engineering, and industrial systems optimization at Curtin University.

Vincent J Ervinمشاهده پروفایل

استاد

• Numerical Analysis
• Computational Mathematics
• Partial Differential Equations
• +۵ مورد دیگر

Vincent J. Ervin is a Professor of Mathematical Sciences at Clemson University's College of Science, located in Martin Hall. His academic journey includes a PhD from Georgia Institute of Technology in 1984. He specializes in numerical analysis, computational mathematics, and partial differential equations with focuses on fluid dynamics, fractional calculus, and viscoelastic systems. University: Clemson University College/School: College of Science Department: Mathematical and Statistical Sciences His research emphasizes fractional diffusion equations , viscoelastic fluid flow , and coupled Stokes-Darcy systems . Notable contributions include: Numerical methods for axisymmetric elasticity equations Stability analysis of fractional advection-diffusion systems Modeling fluid-structure interactions in biomedical applications (e.g., ocular pressure) Publications span topics from spectral approximations for fractional PDEs to error estimation in viscoelastic flows. His work bridges theoretical analysis with computational implementations, often employing finite element methods and stabilized formulations.

Milena Stanislavovaمشاهده پروفایل

استاد

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

Milena Stanislavova is a Professor and Chair of the Department of Mathematics at the University of Alabama at Birmingham (UAB). She previously served as Director of Graduate Studies and Chair of the Economics Department at the University of Kansas (KU). She holds a Ph.D. in Mathematics from the University of Missouri (2000), and earlier degrees from Sofia University, Bulgaria. Her research focuses on Partial Differential Equations, Dynamical Systems, and Mathematical Physics, with emphasis on stability and long-time behavior of waves in nonlinear systems. She investigates coherent structures like solitons and periodic waves, their spectral stability, and applications in physical models. Her work has been continuously supported by NSF grants since 2004. Stanislavova co-organizes the NSF-sponsored KUMUNU PDE conference and teaches undergraduate courses in differential equations, complex analysis, and game theory. She received the Don and Pat Morrison Award for Excellence in Teaching (KU, 2021). As Chair at UAB, she aims to elevate the department’s national profile through faculty recruitment, graduate student support, and interdisciplinary collaborations. Her 150+ publications span journals like Nonlinearity, SIAM Journal of Applied Mathematics, and Communications in Mathematical Physics. Key contributions include spectral stability analysis of periodic waves in systems like Zakharov and Benney, as well as studies on dispersive equations and Hamiltonian PDEs.

Paul Carterمشاهده پروفایل

استادیار

• Dynamical Systems
• Partial Differential Equations
• Pattern Formation
• +۲ مورد دیگر

Dr. Paul Carter is an Assistant Professor in the Department of Mathematics at the University of California, Irvine, specializing in applied mathematics with focus on dynamical systems and pattern formation. His research examines nonlinear dynamics in biological and ecological contexts through PDE models. Primary research investigates vegetation pattern formation in dryland ecosystems, where he analyzes how sloped terrain influences stripe patterns through reaction-diffusion-advection models. Additional projects study neural pulse dynamics in FitzHugh-Nagumo systems and tumor invasion patterns in cancer models. He leads NSF-funded projects including a CAREER award on pattern formation in singularly perturbed PDEs and directs the Patterns and PDEs REU program. Recent publications demonstrate application of geometric singular perturbation theory to biological pattern formation. Teaching includes graduate PDE courses and undergraduate dynamical systems. He mentors undergraduate researchers through summer REU programs focusing on mathematical biology applications. Professional service includes editorial work for Physica D and organization of SIAM conferences on nonlinear waves. Recent invited talks address pattern-forming instabilities at international mathematics conferences.

Ngan Leمشاهده پروفایل

مدرس ارشد

• Numerical Analysis
• Stochastic Analysis and Modelling
• Partial Differential Equations
• +۵ مورد دیگر

Dr. Ngan Le is a Senior Lecturer in the School of Mathematics at Monash University, specializing in numerical analysis and stochastic partial differential equations. Her research focuses on theoretical and numerical advances in magnetic problems, anomalous sub-diffusion, and stochastic modeling. She has led or contributed to multiple research projects funded by the Australian Research Council, including work on mathematical models for magnetic devices and porous media systems. Dr. Le has published extensively in top-tier journals, with recent work addressing stochastic Stokes systems, Landau-Lifshitz equations, and fractional Fokker-Planck models. She is actively involved in supervising PhD students and collaborates internationally on topics spanning computational fluid dynamics and materials science. Education: Details not explicitly provided in the text. Her research interests span numerical methods for stochastic PDEs, finite element approximations, and nonlinear porous media equations. Key contributions include the development of robust numerical schemes for problems with variable-order fractional derivatives and multi-dimensional stochastic noise. Dr. Le's work emphasizes both theoretical rigor and practical applications in areas like magnetic materials and fluid dynamics. Recent publications highlight advancements in stochastic modeling of magnetic systems and diffusion processes, with a focus on long-term stability and error analysis. She has pioneered methods for the stochastic Landau-Lifshitz-Bloch equation and the Fokker-Planck equation with general forcing terms. Grants/Projects: Mathematics for future magnetic devices (2024-2027) A new numerical analysis for partial differential equations with noise (2023-2026) Mathematics for breaking limits of speed and density in magnetic memories (2020-2023) HDTHM: Mathematical and numerical methods for thermo-hydro-mechanical models in porous media (2019-2022) Dr. Le collaborates with leading institutions globally, including the Universities of Bremen, Tübingen, and Montpellier. Her research integrates computational techniques with stochastic analysis to address challenges in materials science and fluid dynamics.

Katy Craigمشاهده پروفایل

دانشیار

• Optimal Transport
• Nonlinear Partial Differential Equations
• Calculus of Variations
• +۳ مورد دیگر

Katy Craig is an Associate Professor in the Department of Mathematics at the University of California, Santa Barbara (UCSB), within the College of Letters and Science. Her research focuses on nonlinear partial differential equations, optimal transport theory, calculus of variations, and numerical analysis. She leads the NSF-funded CAREER project on Optimal Transport and Dynamics in Machine Learning and co-organized the Optimal Transport Graduate Summer School at UCSB in 2025. Dr. Craig's academic career includes roles as an Assistant Professor (2016-2023) and postdoctoral fellowships at UCSB and UCLA. She has been recognized with awards such as the 2023 Mochizuki Memorial Fund Award and the 2020 Hellman Faculty Fellowship. Her teaching spans courses in real analysis, optimal transport, and graduate-level topics in mathematics. Her research has been supported by grants from the NSF and UC system, and she actively mentors graduate and undergraduate students in interdisciplinary projects. Craig is also involved in conference organization, including leading workshops on optimal transport and machine learning, and contributes to academic service roles such as NSF panel participation and editorial work for journals. Key research themes include the development of numerical methods for optimal transport, applications to machine learning and physics, and the analysis of gradient flows in metric spaces. Her work bridges theoretical mathematics with computational and applied challenges, fostering collaborations across disciplines.

• Nonlocal Partial Differential Equations
• Regularity Theory
• Fractional Calculus
• +۵ مورد دیگر

Dr. Simon Noah Nowak is a researcher at the Faculty of Mathematics, Bielefeld University , focusing on nonlocal partial differential equations (PDEs) and regularity theory. He is currently involved in the SFB 1283 collaborative research center, contributing to projects on differential/integro-differential operators with degenerate coefficients (TP A07) and analysis of manifolds/metric spaces/graphs (TP A03). His work bridges functional analysis, potential theory, and nonlinear PDEs. Research trends in his publications emphasize nonlocal equations with irregular coefficients, including fractional calculus, Sobolev/Hölder regularity, and Calderón-Zygmund estimates. Key subfields span gradient estimates , parabolic equations , nonlinear potentials , and De Giorgi iteration for vectorial systems. He has collaborated with prominent researchers such as Lars Diening, Lars Kaßmann, Yannick Sire, and Giuseppe Mingione. His recent work includes 2025 contributions to Annals of PDE , Calculus of Variations , and Journal of the London Mathematical Society , alongside 2024 studies in Mathematical Annals and Archive for Rational Mechanics and Analysis .

Massimo Trovatoمشاهده پروفایل

استاد

• Mathematical Physics
• Statistical Mechanics
• Quantum Kinetic Theory
• +۶ مورد دیگر

Massimo Trovato is a Full Professor of Mathematical Physics at the University of Catania, where he has been teaching since 2004 and has held the rank of full professor since 2010. He serves as Director of the INDAM Unit of the Department of Mathematics and Informatics (DMI) since 2014. Professor Trovato teaches courses in both the Mathematics and Physics degree programs at the University of Catania. Professor Trovato's research spans multiple areas within mathematical physics, with a particular focus on theoretical frameworks for understanding physical systems. His work integrates advanced mathematical techniques with physical principles to develop models that explain complex phenomena in semiconductor physics, quantum systems, and fluid dynamics. His research interests include: Mathematical Physics Statistical Mechanics Quantum Kinetic Theory Semiclassical Kinetic Theory Extended Thermodynamics Maximum Entropy Principle Quantum Maximum Entropy Principle Semiconductor Physics Fluid Dynamics Professor Trovato's publication record demonstrates a consistent focus on entropy principles and their applications across various physical systems. His work shows an evolution from classical thermodynamics to quantum formulations, with particular emphasis on semiconductor applications and 2D materials like graphene. The research trajectory reveals increasing sophistication in handling nonlocal quantum effects and fractional statistics, reflecting the growing complexity of modern physical systems being studied. Professor Trovato has made significant contributions to the theoretical understanding of transport phenomena in semiconductors, particularly through the application of maximum entropy principles to both classical and quantum systems. His research has important implications for the development of next-generation semiconductor devices. His teaching responsibilities include Analytical Mechanics for Physics students and Mathematical Physics II for Mathematics students, demonstrating his commitment to educating the next generation of physicists and mathematicians.

• Agent-based modeling
• Mathematical modeling in life sciences
• Ordinary and partial differential equation modeling
• +۵ مورد دیگر

Kevin John Painter is a Full Professor (L.240) at the Interuniversity Department of Territorial Sciences, Planning and Policies (DIST) of Politecnico di Torino. His research focuses on mathematical and computational modeling of spatial-temporal dynamics in natural systems, spanning embryonic development, cancer progression, animal migration, and environmental landscape structuring. Position: Full Professor Institution: Politecnico di Torino Department: DIST (Interuniversity Department of Territorial Sciences, Planning and Policies) Key research interests include agent-based modeling, mathematical biology, differential equations, and pattern formation. His work addresses cancer invasion dynamics, turtle navigation to Ascension Island, whale migration under noise pollution, and environmental change modeling. Recent publications emphasize nonlocal interaction models, phenotypic switching in biological systems, and coupled Turing reaction-diffusion-chemotaxis frameworks. Since 2020, he has taught Calculus, Probability and Statistics, and Linear Algebra at the Architecture and Automotive Engineering programs. He supervises doctoral research in the Urban and Regional Development PhD program. Scientific contributions are reflected in editorial board memberships across six journals, including Mathematical Models and Methods in Applied Sciences and the Royal Society Open Science. Awards: Editorial board member of leading journals. His modeling strategies bridge individual and population-level dynamics, with applications spanning from neural crest cell chemotaxis to glioma tumor invasion. Skills align with ERC sectors PE1_20 (Mathematical Applications) and LS3_9 (Developmental Biology), supporting UN SDGs 3 (Health), 13 (Climate Action), and 14 (Life Below Water).