جستجوی استاد راهنمای دانشگاهی

Patrick Speissegger is a Professor in the Department of Mathematics and Statistics at McMaster University. He holds a Ph.D. in Mathematics from the University of Illinois at Urbana-Champaign and a Diploma in Mathematics from the Swiss Federal Institute of Technology Lausanne. His research focuses on O-Minimal Structures, Real Analytic Geometry, and their applications to Differential Equations and Dynamical Systems. Education: Ph.D., University of Illinois at Urbana-Champaign; Diploma, Swiss Federal Institute of Technology Lausanne His recent work explores multisummable series, transseries, and Hilbert's 16th problem. Publications span foundational topics in Model Theory, Pfaffian systems, and geometric definability. He has served as an instructor for various undergraduate and graduate courses, including Advanced Calculus and Quantum Computing. His scholarly activity includes collaborations and presentations on O-Minimal Structures and their implications in Number Theory and Analysis. Despite no explicit mention of scientific awards, his contributions to mathematical logic and analytic geometry remain significant.

• Mathematical Logic
• Model Theory
• O-Minimal Structures
• +۵ مورد دیگر

Yulij Ilyashenko is an Adjunct Professor in the Department of Mathematics at Cornell University. He holds a Ph.D. from Moscow State University (1969). His research focuses on dynamical systems, particularly the study of limit cycles, nonlocal bifurcations, and complex foliations. A key area of interest is Hilbert's 16th problem, exploring the number and location of limit cycles in polynomial vector fields. He has pioneered approaches applying complex analysis and Riemann surfaces to real differential equations. His work includes defining new attractor properties, studying robust invariant sets, and advancing the theory of functional cochains and nonlinear Stokes phenomena. Recent contributions include a novel framework for global planar bifurcation theory. Collaborations with students like A. Glutsyuk, V. Kaloshin, and S. Yakovenko have yielded significant results. His editorial roles include overseeing volumes on nonlinear Stokes phenomena and Hilbert's 16th problem. Ilyashenko's research bridges pure and applied mathematics, with implications for understanding chaotic systems and turbulence. His publications span foundational monographs to specialized articles in journals like Inventiones Mathematicae and Bulletin of the AMS .

• Dynamical Systems
• Complex Analysis
• Limit Cycles
• +۴ مورد دیگر

Pavao Mardesic is a Lecturer with HDR (Habilitation à Diriger des Recherches) at the University of Burgundy, France. He is affiliated with the Institute of Mathematics of Burgundy (IMB) within the Department of Mathematics in the Faculty of Science and Technology. His office is located in the Mirande Building, Wing A, Office 223, and he is a core member of the "Geometry, Algebra, Dynamics and Topology" research team. Dr. Mardesic's research focuses on dynamical systems , with particular expertise in Hamiltonian systems , topology , and mathematical physics . His work addresses fundamental problems in singularity theory, bifurcation analysis, and the study of limit cycles related to Hilbert's 16th problem. He has developed innovative approaches using fractal analysis of orbits, epsilon-neighborhoods, and Melnikov functions to understand the behavior of dynamical systems. His publication record shows a consistent research trajectory from foundational work on Abelian integrals and limit cycles to more recent investigations of fractal zeta functions, spectral properties, and geometric mechanics. Mardesic has made significant contributions to understanding the tennis racket effect, monodromy in Hamiltonian systems, and the connection between fractal geometry and dynamical behavior. His work bridges pure mathematics with applications in physics, particularly in the study of rotational dynamics and quantum mechanical systems. Dr. Mardesic has published extensively since the early 2000s, with his most recent work extending to 2025. His research demonstrates sophisticated mathematical techniques applied to classical problems in dynamical systems, showing particular strength in analyzing parabolic diffeomorphisms, Dulac maps, and the geometric properties of rigid body rotation.

• Dynamical Systems
• Mathematical Physics
• Topology
• +۳ مورد دیگر

Dr. Leummim Yao is an Assistant Professor of Mathematics in the Department of Mathematics and Physics at Grambling State University (GSU), located in Grambling, Louisiana. He is affiliated with Carver Hall, Room 269, and can be contacted via phone at 318-274-2465. Dr. Yao holds a Ph.D. in Mathematics from the University of Illinois at Urbana-Champaign (1995). His research focuses on Dynamical Systems, Control Theory, and Optimal Control of Partial Differential Equations. He explores the Maximum Number of Limit Cycles in Polynomial Lienard Systems (linked to Hilbert’s 16th Problem) and bridges gaps between necessary/sufficient conditions for Optimal Control Solutions using the Pontryagin Maximum Principle. He teaches a broad range of mathematics courses, including College Algebra, Calculus, Real Analysis, Differential Equations, and Control Theory. No specific grants, awards, or publications are listed in the provided text.

• Dynamical Systems
• Control Theory
• Optimal Control of Partial Differential Equations
• +۳ مورد دیگر

Joan Torregrosa i Arús is an Associate Professor in the Department of Mathematics at the Universitat Autònoma de Barcelona (UAB). His work focuses on dynamical systems, differential equations, and bifurcation theory, with a particular emphasis on limit cycles and nonlinear dynamics. He has held academic positions at UAB since 1991, including roles as an Assistant Lecturer and Full-Time Associate Professor. His research explores topics like periodic orbits, integrability, and applications to ecological models. He has led and participated in multiple research projects funded by institutions such as the European Social Fund and the Spanish Ministry of Economy and Competitiveness. Ph.D. in Mathematical Sciences from UAB (1998) Masters in Mathematical Sciences from UAB (1993) Bachelor's in Mathematical Sciences from UAB (1991) His research interests include the qualitative analysis of differential systems, bifurcation phenomena, and mathematical modeling of ecological systems. Recent work examines limit cycles in piecewise systems, slow-fast dynamics, and invariant manifolds in 3D vector fields. He has contributed to over 95 publications and actively collaborates on projects studying continuous and discrete dynamical systems. Key projects include the study of bifurcations in dynamical systems theory (DYNAMICS) and the analysis of continuous/discrete systems' periodic orbits. No scientific awards are explicitly listed, but his extensive contributions highlight sustained academic impact. He has advised two theses, including work on singular points and periodic orbits in vector fields. His research group, 'Sistemes Dinàmics,' focuses on theoretical and applied aspects of dynamical systems, emphasizing interdisciplinary applications.

• Dynamical Systems
• Differential Equations
• Bifurcation Theory
• +۳ مورد دیگر

Colin Christopher is an Associate Professor in Mathematics at the University of Plymouth, affiliated with the School of Engineering, Computing and Mathematics. His research focuses on dynamical systems, differential equations, and mathematical analysis, particularly in areas such as integrability, limit cycles, and Hilbert’s 16th Problem. He teaches courses including Mathematical Methods 2, Probability with Applications, and Real and Complex Analysis. His recent work explores topics like Liouvillian integrability, Abelian integrals, and the application of symmetry methods in nonlinear systems. His research contributions span theoretical and applied mathematics, with publications addressing the tangential center-focus problem, monodromy analysis, and Lotka-Volterra systems. Despite extensive research output, no specific academic awards or grants are explicitly mentioned in the provided materials. He maintains active involvement in advancing the understanding of bifurcation theory and qualitative dynamics in polynomial systems. Colin’s work bridges pure and applied mathematics, with applications to ecological models and nonlinear oscillators, reflecting a commitment to both foundational theory and interdisciplinary relevance.

• Mathematics
• Dynamical Systems
• Differential Equations
• +۳ مورد دیگر

Huaiping Zhu is a Full Professor and York Research Chair (Tier I) in Applied Mathematics at York University's Department of Mathematics and Statistics within the Faculty of Science. He serves as Coordinator of Mathematical Biology, Director of the Laboratory of Mathematical Parallel Systems (LAMPS), and Director of the Center of Diseases Modeling (CDM) at York University. Professor Zhu's research spans dynamical systems and Hilbert's 16th problem, bifurcation theory and applications, mathematical ecology and epidemiology, and climate change modeling. He develops mathematical models, theories, and methodologies for prevention and control of mosquito-borne diseases and other infectious diseases. His work has led to weather-based forecasting tools for vector mosquito abundance and risk assessment, climate change impact studies, and the user-friendly Ontario Climate Data Portal (OCDP) for climate adaptation support. Analysis of Zhu's recent publications reveals a strong focus on mathematical modeling of infectious disease dynamics, particularly vector-borne diseases like dengue fever, West Nile virus, and avian influenza. His research integrates advanced mathematical techniques including fractional calculus and spatial modeling with practical applications in disease control, showing a growing trend toward incorporating machine learning approaches with traditional mathematical models for improved disease forecasting and intervention planning. His scientific achievements include: York Research Chair (Tier I) in Applied Mathematics Professor Zhu leads the Laboratory of Mathematical Parallel Systems (LAMPS) group, mentoring graduate students and researchers in mathematical biology. His development of the Ontario Climate Data Portal and weather-based disease forecasting tools indicates significant grant funding for public health applications, though specific grant details aren't provided in the source material. Through his leadership of LAMPS and CDM, Professor Zhu directs interdisciplinary research combining mathematics, epidemiology, and climate science to develop practical tools for disease risk assessment and climate adaptation. His work on the Ontario Climate Data Portal demonstrates the translation of complex mathematical models into user-friendly resources for policymakers and public health officials.

• Dynamical Systems
• Bifurcation Theory
• Mathematical Ecology
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Armengol Gasull Embid is a Professor in the Department of Mathematics at Universitat Autònoma de Barcelona (UAB). He holds the position of Profesor Catedrático de Universidad since 2002. His research focuses on dynamical systems, differential equations, and nonlinear dynamics, with a particular emphasis on limit cycle analysis, bifurcation theory, and mathematical modeling. Education: PhD in Ciencias Matemáticas (1986) and Degree in Ciencias Matemáticas (1981), both from UAB. Research Interests: Extensive work on limit cycles in polynomial vector fields, bifurcations in continuous and discrete systems, integrability, and applications of dynamical systems theory. Active in collaborative projects like 'Sistemas dinámicos contínuos y discretos' funded by European Social Fund (2023–2026). Publications: Over 270+ research outputs, including recent articles on Hilbert’s 16th problem, piecewise linear maps, and evolutionary stable strategies models. Supervised 13 academic works.

• Dynamical Systems
• Differential Equations
• Nonlinear Dynamics
• +۳ مورد دیگر

Jordi Villadelprat Yague is a Lecturer in the Department of Mathematics at Rovira i Virgili University (URV), where he held the position from December 2002 to September 2023. He also served as a Lecturer (on leave) at the Universitat de Barcelona from September 2008 to August 2011. His academic journey includes a Ph.D. in Mathematics (1999) and a Degree in Mathematics (1994), both from Universitat Autònoma de Barcelona (UAB). His research focuses on qualitative theory of dynamical systems, bifurcation analysis, and nonlinear differential equations. Key areas include periodic orbits, limit cycles, and applications to epidemic modeling and synchronization phenomena. He has contributed to projects funded by the European Social Fund, Spanish Ministry of Economy, and other national agencies, investigating topics such as continuous/discrete dynamical systems and topological analysis. Notable collaborations include work on bifurcations in epidemic spreading models and Kuramoto synchronization. His recent publications (2022–2025) address cyclicity in quadratic systems, asymptotic expansions in dynamical systems, and stability analysis in coupled oscillator networks.

• Dynamical Systems
• Differential Equations
• Bifurcation Theory
• +۳ مورد دیگر

Dr. Víctor Mañosa Fernández is a full Professor at the Universitat Politècnica de Catalunya (UPC), affiliated with the Department of Mathematics and the School of Industrial, Aerospace, and Audiovisual Engineering of Terrassa (ESEIAAT). He leads research within the UPCDS Dynamical Systems Group and is part of the BarcelonaTech Mathematics Institute (IMTECNBC). Affiliations: Professor at the Department of Mathematics, UPC Member of the UPCDS Dynamical Systems Research Group Institut de Matemàtiques de la UPC-BarcelonaTech Research Expertise: His work focuses on dynamical systems, nonlinear dynamics, difference equations, and bifurcation theory. Specific interests include integrable maps, periodic solutions, invariant manifolds, and applications to mathematical physics and engineering systems. Recent Contributions: Recent studies explore Kahan-Hirota-Kimura maps, invariant graphs in piecewise linear systems, and periodic traveling wave persistence. He also investigates global periodicity conditions and stability indices in both continuous and discrete systems. Grants & Projects: He has led multiple competitive projects, including the UPCDS group's funding and research on dynamical systems applications. Collaborations span control theory, nonlinear analysis, and interdisciplinary applications. Publications: Over 190 academic contributions, including articles in Journal of Differential Equations , Nonlinear Dynamics , and Communications in Nonlinear Science . Key topics include Hamiltonian systems, discrete integrability, and bifurcation phenomena.

• Dynamical Systems
• Nonlinear Dynamics
• Difference Equations
• +۳ مورد دیگر