جست‌وجوی استاد و پژوهشگر

• 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.

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.

• 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 .

Nils Henrik Risebroمشاهده پروفایل

استاد

• Partial Differential Equations
• Conservation Laws
• Numerical Analysis
• +۳ مورد دیگر

Nils Henrik Risebro is a Professor in the Department of Mathematics at the University of Oslo, specializing in Partial Differential Equations and Computational Mathematics. His research focuses on conservation laws, numerical methods for hyperbolic systems, traffic flow models, and stochastic processes. He has contributed extensively to the analysis of nonlinear PDEs, with a particular emphasis on well-posedness, numerical schemes, and applications in fluid dynamics and vehicular traffic. Recent work includes studies on continuum limits of non-local Follow-the-Leader models, non-local traffic flow models, and multilevel Monte Carlo methods for random conservation laws. He collaborates frequently with researchers like Helge Holden, Kenneth Karlsen, and Ulrik Fjordholm. His publications span high-impact journals such as SIAM Journal on Numerical Analysis , ESAIM: Mathematical Modelling and Numerical Analysis , and Zeitschrift für Angewandte Mathematik und Physik . Risebro’s articles often bridge theoretical analysis and computational methods, addressing challenges in fluid dynamics, porous media flow, and stochastic PDEs. His work demonstrates a strong focus on rigorous mathematical frameworks with practical engineering applications.

• Partial Differential Equations
• Free Boundary Problems
• Fractional Calculus
• +۳ مورد دیگر

Xavier Ros-Oton is a Full Professor at ICREA and the University of Barcelona, specializing in partial differential equations (PDEs) and free boundary problems. His research focuses on regularity theory, fractional calculus, and geometric analysis, with significant contributions to the obstacle problem and nonlocal equations. Key areas of expertise include free boundary regularity, fractional operators, and nonlinear diffusion phenomena. He collaborates with leading mathematicians such as Alessio Figalli and Joaquim Serra on foundational PDE theory. Ros-Oton actively organizes academic events like the Warsaw Summer School on Evolutionary PDEs and New Frontiers in Homogenization and Fractional Calculus , reflecting his role in advancing research communities. His work bridges theoretical analysis and applied mathematics, addressing questions in phase transitions, geometric measure theory, and nonlocal PDEs.

Dmitri Finkelshteinمشاهده پروفایل

دانشیار

• Analysis
• Probability Theory
• Mathematical Physics
• +۷ مورد دیگر

Dr. Dmitri Finkelshtein is an Associate Professor in the Department of Mathematics at Swansea University, within the Faculty of Science and Engineering's School of Mathematics and Computer Science. He holds a PhD (2004) and DSc (2014) from the Institute of Mathematics, Kyiv, Ukraine, and a BSc/MSc from the National University of Kyiv. His research focuses on mathematical analysis, probability, and their applications to complex systems, including infinite-dimensional analysis, stochastic dynamics, and non-local evolution equations. Key areas include mathematical physics, point processes, and population ecology. He has contributed to frameworks for analyzing individual-based ecological models and spatial stochastic systems. Recent work includes studies on entropy behavior in Poisson distributions, spatial cumulant models in cancer systems, and the dynamics of non-local Fisher-KPP equations. He has secured grants, such as the £265k Horizon-Infra-2021 Biodiversity Digital Twin Project. Dr. Finkelshtein advises multiple PhD students on topics like reaction-diffusion models, umbral calculus, and tumor growth dynamics. His teaching spans mathematical analysis, dynamical systems, and probability theory.

• Probability and Mathematical Statistics
• Stochastic Differential Equations
• Malliavin Calculus
• +۳ مورد دیگر

Michele Coghi is an Associate Professor in the Department of Mathematics at the University of Trento. He specializes in probability theory, stochastic differential equations, and their applications to mathematical physics and nonlinear partial differential equations. His research explores rough path analysis, mean-field models, and turbulence phenomena in fluid dynamics, with a focus on stochastic frameworks. He teaches courses such as Biostatistics and Statistical Methods across multiple departments, including the Department of Cellular, Computational and Integrative Biology (CIBIO) and the Department of Information Engineering and Computer Science. His work bridges theoretical mathematics with practical applications in data science and computational biology. Michele Coghi's recent publications emphasize rough stochastic calculus, nonlocal diffusion processes, and robust data assimilation techniques like ensemble Kalman filtering. His research on McKean-Vlasov dynamics and interacting particle systems highlights his contributions to stochastic modeling and mathematical fluid dynamics.

Gunther Uhlmannمشاهده پروفایل

استاد مدعو

• Inverse Problems
• Partial Differential Equations
• Mathematical Physics
• +۵ مورد دیگر

Gunther Uhlmann holds the Robert R. Phelps and Elaine F. Phelps Endowed Professorship and is an Adjunct Professor of Applied Mathematics at the University of Washington. His research focuses on inverse problems, partial differential equations, and their applications in imaging technologies like medical imaging and geophysical exploration. He is affiliated with the Department of Mathematics and has been recognized with prestigious awards such as the National Academy of Sciences membership (2023), the AMS-SIAM Birkhoff Prize (2021), and the Doctor Honoris Causa from the University of Helsinki (2022). His work bridges pure mathematics and applied sciences, with contributions to inverse scattering theory, microlocal analysis, and geometric inverse problems. Uhlmann has advised over 60 PhD students and collaborated with numerous postdocs, significantly advancing the field of inverse problems. His recent research explores nonlinear phenomena in inverse problems, including applications to black hole physics and elasticity theory. Key projects include developing inversion methods for anisotropic media, studying fractional Schrödinger operators, and recovering material parameters from boundary data. He has published influential works on topics ranging from cloaking technologies to seismic imaging, and his book Geometric Inverse Problems (2023) consolidates advancements in two-dimensional inverse problem theory. Awardees include grants from the National Science Foundation and the Simons Foundation, supporting his exploration of interdisciplinary challenges in mathematical physics. Current research priorities include gravitational wave analysis and machine learning applications in inverse problems.

Georgi S. Medvedevمشاهده پروفایل

استاد

• Dynamical Systems
• Stochastic Analysis
• Mathematical Neuroscience
• +۳ مورد دیگر

Georgi S. Medvedev is a Professor in the Department of Mathematics at Drexel University. He earned his PhD from Boston University (1999) and was a Veblen Research Instructor at Princeton University and the Institute for Advanced Study before joining Drexel in 2002. His research investigates dynamical systems, stochastic analysis, and mathematical neuroscience. Research develops mathematical frameworks for understanding complex network dynamics. Primary areas include synchronization in coupled oscillator systems, metastability in stochastic networks, and continuum limits of large-scale dynamical systems. Applications span neuroscience, statistical physics, and engineering. Recent publications focus on the Kuramoto model, exploring bifurcations in networked oscillators, stability of twisted states, and continuum approximations for sparse graphs. The work bridges discrete network models with continuum descriptions using graph limit theory. He has developed interdisciplinary courses including Mathematical Neuroscience and Dynamical Networks. His research is supported by multiple NSF grants focusing on network metastability, mean-field analysis, and synchronization phenomena. Service includes editorial roles for Discrete and Continuous Dynamical Systems and Networks and Heterogeneous Media. He mentors undergraduate researchers in projects investigating metastability in oscillator networks.

Erik Van Vleckمشاهده پروفایل

استاد

• Applied Mathematics
• Numerical Analysis
• Numerical Methods for PDEs
• +۳ مورد دیگر

Erik Van Vleck is a Professor of Mathematics at the University of Kansas, affiliated with the College of Liberal Arts & Sciences. His research focuses on applied mathematics, numerical analysis, and numerical methods for partial differential equations (PDEs), with particular emphasis on data assimilation and reaction-diffusion systems. His work bridges theoretical advancements and practical applications in computational dynamics, environmental modeling, and ecological systems. Van Vleck’s research interests include multi-scale data assimilation techniques, adaptive mesh methods, and the numerical analysis of traveling wave solutions in discrete and continuous systems. He has contributed to understanding pattern formation in ecological models, particularly in savanna ecosystems and fire-driven dynamics. His methodological innovations span numerical methods for PDEs, reduced-order modeling, and stochastic filtering approaches for complex systems. His recent work highlights trends in developing robust adaptive frameworks for data assimilation, integrating advanced numerical techniques with real-world applications in geophysics and environmental science. This includes projects on metric tensor-based mesh adaptation and projected data assimilation using sliding window methods. His contributions to theoretical foundations include spectral stability analyses for discrete dynamical systems and bifurcation studies in reaction-diffusion equations. Van Vleck has collaborated extensively across disciplines, applying mathematical tools to ecological, climatological, and biomedical systems. His research often addresses computational challenges in high-dimensional spaces, emphasizing efficiency and accuracy in modeling complex phenomena. Despite the breadth of his contributions, no specific grants or advising roles are detailed in the provided materials.

• Pure mathematics
• Mathematical physics
• Partial differential equations

Assoc Prof Yao Yao is an Associate Professor in the Department of Mathematics at the National University of Singapore (NUS) and serves as Vice Dean of the NUS Graduate School. Her research focuses on nonlinear partial differential equations (PDEs) arising in fluid mechanics and mathematical biology. She has held academic positions at NUS since 2015, previously serving as an Assistant Professor at Georgia Tech (2013–2015), and completed her postdoctoral training at the University of Wisconsin-Madison. Her work integrates analytical techniques with numerical methods to study phenomena such as fluid dynamics, chemotaxis, and aggregation-diffusion processes. Research interests include: 1) Analysis of free boundary problems in fluid dynamics (e.g., Euler equations, porous media flows), 2) Mathematical modeling of biological processes (e.g., chemotaxis-driven pattern formation, species competition), and 3) Stability and long-time behavior of PDE systems. Notable contributions include studies on singularity formation in SQG patches and aggregation-diffusion equations, as well as symmetry properties of steady states. Selected awards and recognitions include editorial roles at journals such as Nonlinearity and SIAM Journal on Mathematical Analysis . Yao's work frequently addresses interfacial dynamics and energy methods in PDE analysis.

• Partial Differential Equations
• Nonlinear Analysis
• Elliptic and Parabolic Equations
• +۶ مورد دیگر

Sergio Segura de León is a full Professor in the Faculty of Mathematics at the University of Valencia, Spain. He is affiliated with the Department of Mathematical Analysis and is a member of the EDPNOL (Nonlinear Partial Differential Equations) research group. He obtained his PhD from the University of Valencia in 1988. PhD: University of Valencia, 1988 His primary research interests lie in nonlinear partial differential equations, particularly focusing on elliptic and parabolic equations involving the p-Laplacian and 1-Laplacian operators, singular terms, gradient growth, and asymptotic behavior as p → 1. His work combines deep analytical techniques from functional analysis, operator theory, and calculus of variations. Applications of his research include image processing, such as MRI denoising, and geometric problems like inverse mean curvature flow. The 15 most recent publications highlight a consistent trend in studying singular limits (especially p → 1), existence and uniqueness of solutions for equations with L1 or measure data, and problems with nonlinear boundary conditions such as Robin or absorption terms. The research spans theoretical analysis of eigenvalues, Gelfand-type problems, and evolution equations, often involving variational methods and renormalized or entropy solutions. No scientific awards are explicitly mentioned in the provided text. Sergio Segura de León has collaborated extensively with leading researchers including Fuensanta Andreu, José M. Mazón, Daniela Giachetti, Anna Mercaldo, and Cristina Trombetti. His work has been supported by various national and international research projects, though specific grants are not detailed. He has advised PhD students, contributing to the training of new researchers in nonlinear PDEs. He is a key member of the EDPNOL research group, which focuses on the analysis and applications of nonlinear partial differential equations, particularly those arising in physics, engineering, and image processing.

• Kinetic theory
• Mathematical biology
• Statistical mechanics (equilibrium and non-equilibrium)
• +۱ مورد دیگر

Nadia Loy is a fixed-term Researcher in the Department of Mathematical Sciences (DISMA) at the Polytechnic University of Turin , specializing in kinetic theory, mathematical biology, and statistical mechanics. She contributes to the 'Models and Methods in Mathematical Physics' research group and leads project components in nationally funded initiatives like ANATOMY (2023-2026) for modeling muscular dystrophies. Current PhD supervisor for Martina Fraia (Scienze Matematiche, 39th cycle) Teaches Theoretical mechanics (Civil and Environmental Engineering) and Algebra lineare e geometria (Management Engineering) Active in interdisciplinary research bridging mathematics with biomedical and social applications Her research focuses on nonlocal kinetic equations for complex systems, including fake news propagation , cancer cell migration , and agent behavior modeling . Recent publications in Kinetic and Related Models and Nonlinearity demonstrate her work in continuum mechanics, nonlinear dynamics, and social diffusion processes. Scientific contributions include: 2025 - Open badge for research communication to citizens 2024 - Collaborative publications on cell mechanics, nonlocal PDEs, and multi-agent kinetic models She actively collaborates on teaching modules across engineering disciplines, from aerospace to architecture, and participates in outreach activities related to mathematical physics applications.