Find Academic Supervisors

• Mathematical Analysis
• Differential Equations
• Controllability
• +3 more

Valentina TADDEI is an Associate Professor at the University of Modena and Reggio Emilia, affiliated with the Department of Engineering Sciences and Methods. Her research focuses on mathematical analysis, differential equations, and control theory with applications to semilinear systems, nonlocal boundary conditions, and fractional calculus. She holds an ORCID identifier (0000-0001-6171-2499) and is based at the Reggio Emilia campus office via Amendola 2. Her recent work emphasizes controllability of partial differential equations, impulsive systems, and nonlocal evolution problems. Key themes include mild solutions for impulsive differential inclusions, exact controllability in Banach spaces, and wavefront analysis in reaction-diffusion models. She has contributed to both theoretical advancements and applied methodologies in nonlinear analysis. No scientific awards or grants are explicitly listed in the provided materials. Her advising activities are not detailed here, but her research group likely engages with topics in functional differential equations and operator theory.

Pauline LafitteView profile

Professor

• Partial Differential Equations (PDEs)
• Numerical Analysis
• Kinetic Theory
• +3 more

Pauline Lafitte is a Professor at CentraleSupélec since 2011 and a member of the Laboratoire de Mathématiques d’Orsay UMR CNRS 8628 since 2025. She leads the Mathematics Department (3rd year curriculum) and co-heads the Mathematics and Data Sciences program at CentraleSupélec. She has held leadership roles including Director of the CentraleSupélec Mathematics Federation (FR3487) since 2017 and Editor-in-Chief of the Société Mathématique de France’s Gazette since 2023. Education: Habilitation à Diriger des Recherches (HDR) from Université Lille 1 (2010), PhD from ENS Lyon (2001), Agrégation de Mathématiques (1998), and DEA in Numerical Analysis (1997). Research focuses on hyperbolic/parabolic PDEs, kinetic theory, numerical analysis, and applications in physics, biology, and engineering. Key areas include asymptotic-preserving schemes, shock profile analysis, and fluid-particle interactions. Over 27 peer-reviewed articles and contributions to ANR projects like TOP-PRED (2021–2024) and STAB (2013–2016). Teaching includes large undergraduate classes (500–800 students) and specialized M2 courses in applied mathematics, covering PDEs, numerical methods, and functional analysis. Service roles include leadership in academic committees (e.g., CNRS, SMAI), editorial boards, and conference organization (e.g., Franco-Hellenic schools, CEMRACS 2019). Extensive jury participation in PhD defenses and academic recruitment committees.

Gabriela JaramilloView profile

Associate Professor

• Nonlinear Partial Differential Equations
• Integro-Differential Equations
• Pattern Formation in Biological Systems
• +4 more

Gabriela Jaramillo is an Associate Professor in the Department of Mathematics at the University of Houston. Her research focuses on nonlinear partial differential equations, integro-differential equations, and pattern formation in biological and physical systems. She investigates how nonlocal diffusion mechanisms influence pattern formation, particularly in oscillatory media, and explores defects and impurities in such systems. Her teaching roles include advanced mathematics courses such as Partial Differential Equations, Theory of Differential Equations, and Multivariable Calculus at the University of Houston, as well as prior teaching at the University of Arizona and University of Minnesota. She leads research programs such as the Summer REU on pattern formation, supervising students like Sameel Siddiqi, Kevin Sony, and Jared Solomon. Her work emphasizes nonlocal effects in biological systems, including studies on spiral waves, target patterns, and the impact of mutations on ecological models. Recent publications explore topics like spiral wave dynamics in nonlocal oscillatory media and numerical methods for diffusive nonlocal operators. Her research bridges theoretical analysis with computational simulations, addressing challenges in pattern formation across disciplines.

Juan J. ManfrediView profile

Professor

• Partial Differential Equations
• Nonlinear Analysis
• Subelliptic Equations
• +4 more

Juan J. Manfredi is a Professor of Mathematics at the University of Pittsburgh's Department of Mathematics, part of the Dietrich School of Arts and Sciences. He holds a PhD from Washington University in St. Louis, focusing on quasiregular mappings and partial differential equations. His research emphasizes elliptic and parabolic PDEs of p-Laplacian type, sub-Riemannian manifolds, and game-theoretic interpretations of equations like the infinity Laplacian. He explores regularity properties of p-harmonic functions and their applications in stochastic processes and signal processing. His work spans nonlinear potential theory, subelliptic equations, and geometric analysis. Notable contributions include studies on Monge-Ampère equations, viscosity solutions, and the interplay between stochastic games (e.g., tug-of-war) and PDEs. He has collaborated on topics like Carnot groups, Heisenberg group geometry, and Riemannian approximations in sub-Riemannian settings. Recent publications highlight advancements in asymptotic mean-value formulas, BMO estimates for solutions, and convergence principles for dynamic programming. His research bridges pure analysis and applied problems, including mass transport and optimal control. While no formal awards are listed, his extensive bibliography and academic roles reflect significant scholarly impact. Manfredi maintains an active online presence with resources like the QuasiWorld page, offering lecture notes and computational tools. His work often intersects with probability, geometric analysis, and numerical methods, positioning him at the forefront of modern nonlinear PDE research.

• Nonlinear Partial Differential Equations
• Functional Analysis
• Evolution Equations
• +5 more

Prof. Dr. Petra Wittbold is a Professor at the University of Duisburg-Essen, holding a position in the Faculty of Mathematics, specifically within the Department of Mathematics. Her research focuses on nonlinear partial differential equations and applied functional analysis, with a particular emphasis on entropy solutions, evolution equations, and stochastic perturbations. She has contributed significantly to the theory of doubly nonlinear equations, fractional calculus, and variable exponent spaces. Administratively, she has held roles such as Equal Opportunities Officer for the Faculty of Mathematics (2012-2020), member of the Senate, and appointment commissioner. Her teaching spans advanced courses including Functional Analysis I, Nonlinear Evolution Equations, and Ordinary Differential Equations, reflecting her expertise in both theoretical and applied aspects of analysis. Prof. Wittbold has supervised numerous doctoral students, including Kerstin Schmitz, Niklas Sapountzoglou, and Martin Scholtes, contributing to their research in nonlinear PDEs and related fields. Her work extends to organizing international workshops and spring schools on topics like evolutionary equations and stochastic methods, fostering collaboration among researchers globally. Her publications span over three decades, addressing entropy solutions, renormalized solutions, and the interplay between stochastic processes and PDEs. Key contributions include studies on time-fractional porous medium equations and doubly nonlinear integro-differential equations, advancing mathematical analysis and its applications in physics and engineering.

Abdallah BradjiView profile

Professor

• Finite Volume Methods
• Finite Element Methods
• Gradient Schemes
• +5 more

Abdallah Bradji is a Full Professor at Annaba University, Algeria since 2015, and holds a French Habilitation (HDR) in Mathematics. He is an associated member of LAGA (Laboratoire d'Analyse, Géométrie, et Applications) at Sorbonne University-Paris Nord and collaborates with international institutions like WIAS (Berlin) and the Nečas Center (Prague). His research focuses on numerical analysis of partial differential equations, specializing in Finite Volume Methods, Finite Element Methods, and Gradient Schemes. Education: PhD in Applied Mathematics from Aix-Marseille University (2005), Postdoc at WIAS Berlin (2006-2007) and Nečas Center Prague (2007-2008). Research Interests: Numerical schemes for hyperbolic/parabolic equations, fractional PDEs, non-Newtonian fluids, and convergence analysis of discretization methods. Recent work includes studies on super-convergence results for mixed finite elements, fractional diffusion equations, and oblique boundary value problems. He has presented at conferences like ICIAM 2023 (Tokyo), FVCA10 2023 (Strasbourg), and NMA 2022 (Bulgaria). Bradji collaborates with researchers such as Fayssal Benkhaldoun and Jürgen Fuhrmann, focusing on fluid dynamics and computational mathematics. His labs include LAGA and the I2M laboratory at Aix-Marseille University.

Enrico ValdinociView profile

Professor

• Partial Differential Equations
• Nonlocal Equations
• Integro-Differential Equations
• +4 more

Enrico Valdinoci is a Professor at the University of Western Australia (UWA), affiliated with the School of Physics, Mathematics & Computing and the Department of Mathematics and Statistics. He holds a PhD from the University of Texas at Austin (2002) and has held positions at institutions including the Scuola Normale Superiore in Pisa, University of Rome Tor Vergata, University of Milan, Weierstrass Institute in Berlin, and University of Melbourne. His research focuses on partial differential equations, nonlocal equations, calculus of variations, and dynamical systems. Key research areas include fractional Laplacian, nonlocal minimal surfaces, free boundary problems, and integro-differential equations. Recent work explores mixed local/nonlocal operators and regularity properties of solutions. His publications often address topics like superposition principles, Fredholm alternatives, and continuity of minimal functions. He has secured grants from the ARC Australian Research Council for projects on nonlocal PDEs, minimal surfaces, and bushfire modeling. Awards: 2023 Research Mentorship Award, 2022 Senior Research Award, 2021 Highly Cited Researcher, 2018 JMAA Prize Grants: Non-local PDE approach to moving fronts (2025–2028), Minimal surfaces project (2019–2025)

• Partial Differential Equations
• Fractional Calculus
• Nonlocal Diffusion
• +3 more

Guangyu Zhao is a Lecturer in the Department of Mathematical Sciences at the University of Nevada, Las Vegas (UNLV). His research focuses on nonlocal equations, fractional calculus, and their applications in mathematical biology and spectral theory. He has contributed to understanding traveling wave solutions, eigenvalue problems involving fractional Laplacian operators, and spatiotemporal dynamics in epidemic models with Lévy flights. His work bridges theoretical analysis and applied mathematics, addressing topics such as nonlocal diffusion systems, stability of coexistence states, and Turing patterns. Research Interests Zhao’s research spans nonlocal partial differential equations, fractional diffusion models, and their applications in epidemiology and ecology. He explores spectral properties of nonlocal operators, asymptotic behavior of traveling waves, and the mathematical foundations of nonlocal reaction-diffusion systems. His studies often involve rigorous proofs of existence, uniqueness, and stability of solutions in both time-periodic and steady-state contexts. Recent Trends in Publications Recent work emphasizes fractional Laplace operators and their role in singularly perturbed eigenvalue problems (2025), spatiotemporal dynamics with Lévy flights (2023), and spectral convergence in nonlocal systems (2017). His articles highlight connections between nonlocal models and classical PDE theory, with applications ranging from viral infections to ecological competition. Awards and Grants No awards or grants explicitly mentioned in the provided text. Advising and Collaborations No advisees or grant details listed in the available information. Collaborations likely involve interdisciplinary projects in applied mathematics and mathematical biology. Labs and Teams No specific labs or research teams mentioned in the provided content.

Marta D'EliaView profile

Adjunct Professor

• Scientific Machine Learning
• Nonlocal Modeling
• Fractional Calculus
• +4 more

Marta D'Elia is an Adjunct Professor at Stanford's Institute for Computational and Mathematical Engineering (ICME), specializing in Scientific Machine Learning and nonlocal modeling. Her research develops data-driven algorithms for multiscale/multiphysics simulations, integrating numerical analysis, uncertainty quantification, and fractional calculus. Core applications include subsurface transport, turbulence modeling, image processing, and materials science. She leads innovations in nonlocal operator regression, physics-informed neural networks, and fractional Laplacian formulations. Current work focuses on embedded machine learning for constitutive modeling, Bayesian uncertainty frameworks, and computational homogenization. D'Elia pioneered approaches for nonlocal-to-local model coupling and fractional Helmholtz decompositions, advancing simulation capabilities for anomalous transport phenomena. Her Ph.D. in Applied Mathematics (Emory University) underpins rigorous mathematical foundations, while collaborations with national labs address high-performance computing implementations. Research contributes to open-source scientific software and computational mathematics education through ICME courses on numerical methods and machine learning.

• Nonlinear Partial Differential Equations
• Dynamical Systems
• Computer-Assisted Proofs
• +3 more

Maxime Breden is a tenured Assistant Professor in the Department of Applied Mathematics at Ecole Polytechnique, France, where he is part of the CMAP research center. His work focuses on the analytical and numerical study of nonlinear PDEs and dynamical systems, with a particular emphasis on combining both approaches to develop computer-assisted proofs. Breden holds a PhD in Mathematics from ENS Cachan (France) and Université Laval (Canada), co-supervised by Laurent Desvillettes and Jean-Philippe Lessard. Prior to his current role, he completed a postdoctoral fellowship at the Technical University of Munich under Christian Kuehn's supervision. His research interests span nonlinear partial differential equations, dynamical systems, and numerical analysis. A key theme is leveraging computational methods to rigorously validate solutions and analyze complex systems, such as reaction-diffusion models in biology and physics, pattern formation, and fluid dynamics. His work frequently integrates advanced numerical techniques with theoretical analysis to ensure mathematical rigor. Breden's recent work emphasizes computer-assisted proofs for nonlinear systems, including studies of Turing instability in heterogeneous media, bifurcation analysis in stochastic flows, and validated numerical methods for PDEs. He has presented his research at leading conferences such as SIAM DS 23 and FoCM 2023. While no specific student or grant information is detailed in the provided text, his academic trajectory reflects a strong focus on interdisciplinary research at the intersection of pure and applied mathematics.

Yanzhi ZhangView profile

Professor

• Fractional Partial Differential Equations (PDEs)
• Scientific Computing
• Numerical Analysis
• +6 more

Dr. Yanzhi Zhang is a Professor of Mathematics at the Department of Mathematics and Statistics, Missouri University of Science and Technology (Missouri S&T), where she has held academic positions since 2010. She earned a Ph.D. in Mathematics from the National University of Singapore and a B.Sc. in Applied Mathematics (with a Computer Science minor) from Chongqing University. Her research spans computational and applied mathematics, focusing on fractional PDEs, nonlocal models, machine learning applications in materials science and business, Bose-Einstein superfluids, and seismic wave inversion. Dr. Zhang has been awarded the Faculty Excellence Award from Missouri S&T and other accolades. Her work is supported by grants from the National Science Foundation, including projects on fractional viscoacoustic wave equations, Bose-Einstein superfluids, and dispersive wave equations. She advises Ph.D. students in interdisciplinary research, such as Yumeng Wang (machine learning for eye-tracking data) and Yixuan Wu (seismic inversion). Her research integrates mathematical rigor with computational innovation, addressing real-world challenges in geophysics, materials science, and business analytics. Collaborations with industry and academia enhance her contributions to data-driven modeling and open-source strategies for digital transformation.

• Partial Differential Equations
• Nonlinear Analysis
• Mathematical Physics
• +4 more

Pablo Alvarez Caudevilla is an Associate Professor in the Mathematics Department at Carlos III University of Madrid (UC3M). His research focuses on partial differential equations and their applications, with specialization in nonlinear analysis and mathematical modeling. He leads the research group "Ecuaciones Diferenciales y Aplicaciones" (Differential Equations and Applications). His primary research interests include: Partial Differential Equations Nonlinear Analysis Mathematical Physics Calculus of Variations Applied Mathematics Higher-Order Differential Equations Dr. Alvarez Caudevilla's publication record demonstrates deep expertise in fourth-order equations including thin film equations and bi-Laplace equations. His work addresses critical questions about existence, regularity, asymptotic behavior, and singularity formation in nonlinear PDEs. He has made significant contributions to understanding blow-up phenomena, gradient behavior, and self-similar solutions across multiple equation types. He has secured competitive research funding as principal investigator for projects including "Ecuaciones en derivadas parciales y sistemas de EDPs acopladas: Análisis y aplicaciones" (2020-2023) funded by AGENCIA ESTATAL DE INVESTIGACION and "Ecuaciones diferenciales de alto orden de tipo parabolico y eliptico" (2013-2015) funded by MINISTERIO DE ECONOMÍA, COMERCIO Y EMPRESA. Dr. Alvarez Caudevilla maintains an extensive international research network with regular collaborations at institutions including Université Paris 7/Laboratoire Jacques-Louis Lions (France), University of Bath (UK), Kyoto Sangyo University (Japan), and University of Sydney (Australia). His research mobility includes numerous funded visits across Europe, Asia, and Australia focusing on advanced problems in differential equations.

• Sports Science
• Kinesiology
• Sports Anthropology
• +3 more

Marko Erceg is a Full Professor at the Faculty of Kinesiology, University of Split , Croatia, where he also serves as Vice-Dean for Business Policy and Finances. His academic work spans both mathematical analysis (Friedrichs systems, entropy solutions, H-distributions) and applied sports science (soccer, futsal, motor abilities, physiological assessments). He teaches courses such as Theory and Methodology of Soccer and Futsal , and coordinates Sports Trainer programs. Education : PhD in Kinesiology (University of Split, 2011); earlier degree from Faculty of Natural Sciences and Mathematics (2000). His research bridges mathematical modeling of physical systems and kinesiological studies in sports performance . Recent mathematical articles focus on partial differential equations, stochastic processes, and operator theory, while sports-science works analyze youth soccer development, training load effects, and physiological adaptations in athletes. Notable trends in his publications include: 2025–2023: Mathematical analysis of kinetic equations, entropy solutions, and Friedrichs systems. 2024–2023: Sports training interventions (HIIT), positional and age-related performance differences in soccer/futsal. 2022–2013: Longitudinal studies on glucosamine therapy, pulmonary function in athletes, morphological asymmetry, and test reliability in kinesiology.

Mohammad El SmailyView profile

Associate Professor

• Partial Differential Equations
• Nonlinear Analysis
• Reaction-Diffusion Models
• +7 more

Dr. Mohammad El Smaily is an Associate Professor in the Department of Mathematics and Statistics at the University of Northern British Columbia (UNBC), part of the Faculty of Science and Engineering. He holds a PhD in Mathematics from Aix-Marseille Université (2008). Before joining UNBC, he held postdoctoral positions at the University of British Columbia (PIMS postdoc), Carnegie Mellon University, and the University of Toronto (NSERC postdoc). His research focuses on Partial Differential Equations (PDEs) , dynamical systems , and their applications in population dynamics , mathematical biology , and ecology . Key areas include reaction-diffusion models, integro-difference equations, and the analysis of traveling waves in heterogeneous environments. Recent work explores mixed local/nonlocal operators , nonlinear advection-diffusion systems , and free boundary problems in ecological contexts. His publications span topics like front propagation in shear flows, Wolbachia infection models, and spectral analysis of nonlocal operators. Dr. El Smaily currently advises students in MSc and PhD Mathematics programs at UNBC. His research has been supported by collaborations with institutions globally, including the University of New Brunswick and INRAE (France). Publications (selected): Over 20 peer-reviewed articles, including work on KPP equations, integro-difference systems, and predator-prey dynamics with free boundaries. Full list available on Google Scholar .

Chunhua OuView profile

Professor

• Applied Mathematics
• Dynamical Systems
• Reaction-Diffusion Equations
• +3 more

Dr. Chunhua Ou is a Professor in the Department of Mathematics and Statistics at Memorial University of Newfoundland. He holds a B.S. from Peking University and a Ph.D. from City University of Hong Kong. His office is HH-3014, and he can be contacted at (709) 864-8779 or ou@mun.ca. Research expertise encompasses nonlinear dynamics and mathematical biology: Propagation dynamics in reaction-diffusion systems Traveling wave analysis in biological models Stability of periodic solutions in ecological systems Nonlocal dispersal mechanisms in spatial ecology Bistable nonlinear phenomena in population dynamics