جست‌وجوی استاد و پژوهشگر

Peter J. Olverمشاهده پروفایل

استاد

• Lie groups
• differential equations
• computer vision
• +۴ مورد دیگر

Peter J. Olver serves as a Professor in the School of Mathematics at the University of Minnesota . His office is located in Vincent Hall 302 at 206 Church Street SE, Minneapolis, MN 55455. With an active research program spanning multiple mathematical disciplines, Professor Olver maintains a significant presence in both theoretical and applied mathematics. His primary research interests encompass Lie groups, differential equations, computer vision, applied mathematics, differential geometry, mathematical physics, and anthropology. These diverse interests reflect his interdisciplinary approach to mathematical problems, connecting pure theory with practical applications across multiple fields. An analysis of his recent publications reveals a strong focus on foundational mathematical concepts with practical implementations. His work shows particular emphasis on symmetry methods, differential equations, and computational approaches to mathematical problems. The integration of anthropology with mathematical analysis through the AMAAZE project demonstrates his innovative cross-disciplinary research. Professor Olver has developed extensive educational materials including numerous lecture notes covering topics from calculus foundations to advanced differential equations. His teaching resources include Mathematica programs for courses like Math 5587 and 5588, featuring interactive visualizations of mathematical concepts such as wave equations and heat diffusion. His research program includes the AMAAZE project (Anthropological and Mathematical Analysis of Archaeological and Zooarchaeological Evidence), which bridges mathematical techniques with anthropological research. This initiative demonstrates his commitment to applying mathematical methods to real-world problems beyond traditional academic boundaries.

Barbara Prinariمشاهده پروفایل

استاد

• Nonlinear Waves
• Integrable Systems
• Solitons
• +۳ مورد دیگر

Barbara Prinari is a Professor in the Department of Mathematics at the University at Buffalo. Her research focuses on nonlinear waves, integrable systems, solitons, and mathematical modeling in social and behavioral sciences. She has contributed to the development of the Inverse Scattering Transform (IST) for nonlinear Schrödinger equations and explored soliton dynamics in diverse physical systems, including Bose-Einstein condensates and optical media. Education: PhD in Physics (1999) from the University of Lecce, Italy. Research Interests: She investigates integrable systems, particularly nonlinear Schrödinger equations, soliton solutions, and their applications. Her work also extends to social cognitive theory modeling, applying dynamical systems to study stress response and behavioral interactions. Publications: Over 50 peer-reviewed articles and a book on discrete and continuous nonlinear Schrödinger systems. Notable contributions include review articles on inverse scattering techniques and collaborations on soliton interactions in multi-component systems. Awards: Selected as a featured article author in the Journal of Mathematical Physics (2015). Grants: Collaborative NSF grants on nonlinear wave equations and integrable systems (2016, 2013). Active in interdisciplinary research, combining mathematical physics with social science modeling. Labs/Teams: Leads research groups focused on inverse scattering theory and soliton dynamics, with applications to quantum and optical systems.

• Nonlinear PDEs
• Mathematical Physics
• Integrable Systems
• +۲ مورد دیگر

Jonatan Lenells is Professor in the Department of Mathematics at KTH Royal Institute of Technology, currently on parental leave until August 2025. His research focuses on nonlinear partial differential equations and mathematical physics. Key research areas include integrable systems, soliton equations, and geometric methods in PDE analysis. He employs techniques from Riemann-Hilbert problems, asymptotic analysis, and differential geometry. Lenells has supervised multiple PhD students and postdocs working on analytical and numerical aspects of integrable PDEs.

Dimitris Tsoumbelisمشاهده پروفایل

استاد

• General Relativity
• Cosmology
• Gravitational Waves
• +۳ مورد دیگر

Professor Dimitris Tsoumbelis is a faculty member in the Department of Mathematics at the University of Patras, where he has held the position of Professor since 1989. He previously served at the University of Ioannina (1979–1989) and held academic roles including Assistant Professor and Lecturer. His educational background includes a B.Sc. (1971), M.A. (1973), and Ph.D. (1977) from The City University of New York. He also completed military service in the Technical Corps of the Greek Armed Forces (1977–1979). His research focuses on theoretical physics and mathematical physics, with expertise in general relativity, cosmology, gravitational waves, and differential equations. Key areas include cosmological models, spacetime geometry, soliton solutions, and integrable systems. Recent work explores continuous symmetric reductions of the Adler-Bobenko-Suris equations and Riemann-Hilbert formulations for nonlinear systems. Professor Tsoumbelis has taught undergraduate and postgraduate courses on differential equations, relativity, and computational mathematics using tools like Mathematica and Maple. He has held significant administrative roles, including Director of Postgraduate Studies (1997–1999) and Chairman of the Department of Mathematics (1999–2003). He has managed major research projects, including those under the EPEAEK II framework and the Karatheodory Program for fundamental research. His contributions span over 25 peer-reviewed articles in journals like Physical Review Letters, General Relativity and Gravitation, and Communications in Mathematical Physics. He has organized conferences such as NEB VI (1994) and contributed to academic leadership through roles in curriculum reform and international collaborative programs.

Anna Rozanova-Pierratمشاهده پروفایل

پژوهشگر

• Mathematical Analysis
• Nonlinear Acoustics
• Partial Differential Equations
• +۵ مورد دیگر

Anna Rozanova-Pierrat is a researcher affiliated with the Laboratory Mathematics and Computer Science for Complexity and Systems , focusing on advanced mathematical analysis, partial differential equations, and their applications in acoustics and engineering. Her work emphasizes boundary value problems, fractal geometries, and optimization techniques for irregular domains. Key research areas include: Nonlinear acoustics and wave propagation Optimal shape design for acoustic absorption Fractal boundary analysis in heat diffusion and PDEs Inverse problems and microwave imaging Her recent studies (2023–2025) explore: Mathematical foundations of Kuznetsov and Khokhlov-Zabolotskaya-Kuznetsov equations Stability and compactness in non-Lipschitz domains Poincaré-Steklov operator applications to fractal interfaces Publications highlight collaborations with institutions like the University of Pisa (Italy) and the University of Bremen (Germany), addressing both theoretical and applied aspects of complex systems. She has contributed to over 30 peer-reviewed articles and co-authored works on fractal engineering and optimal acoustic design.

• Partial Differential Equations
• Inverse Scattering Theory
• Riemann-Hilbert Problems
• +۳ مورد دیگر

Xin Zhou is an Associate Professor in the Department of Mathematics at Duke University, recognized with the George Polya Prize in 1998. His expertise lies in partial differential equations, inverse scattering theory, and Riemann-Hilbert problems. He has collaborated extensively with notable researchers such as Percy Deift, Alexander Its, and Stephano Venakides. Education: M.S. in Physics from the Chinese Academy of Sciences Ph.D. in Mathematics from the University of Rochester Research Interests: Development of Riemann-Hilbert methods for integrable systems Analysis of Painleve equations and random matrix models Applications of inverse scattering theory to nonlinear PDEs His work bridges mathematical analysis, theoretical physics, and applied mathematics, with contributions to asymptotic analysis and nonlinear wave dynamics. Key Collaborations: Richard Beals (Yale University) Percy Deift (Courant Institute, NYU) A.S. Fokas (Imperial College) Alexander Its (Indiana University-Purdue University) Awards: George Polya Prize (1998) Research Contributions: Pioneering work on steepest descent methods for oscillatory Riemann-Hilbert problems Advances in understanding asymptotic behavior of integrable systems Development of unified frameworks for orthogonal polynomials with varying weights Labs/Teams: Active collaborations across institutions, including work with the Duke Mathematics Department and international research groups.

• Partial Differential Equations
• Zero Dispersion Limits
• Whitham Equations
• +۳ مورد دیگر

Fei-Ran Tian is a Professor of Mathematics at The Ohio State University, holding positions since 1995. His research focuses on Partial Differential Equations, Zero Dispersion Limits, Whitham Equations, and Modulation of Dispersive Oscillations. He earned his Ph.D. from New York University's Courant Institute in 1991, advised by Peter D. Lax. Education: Ph.D. Mathematics, Courant Institute, NYU (1991) M.S. Mathematics, Clarkson University (1987) B.S. Mathematics, Jinan University, China (1984) Research Interests: His work addresses integrable systems, zero dispersion limits, Whitham equations, and free boundary problems. He has contributed to understanding modulation equations for KdV and Camassa-Holm hierarchies, and their phase transitions. Grants: NSF DMS-0404931 (2004-2007) NSF DMS-0103849 (2001-2004) NSF DMS-9622810 (1996-1999) Awards: John Simon Guggenheim Fellowship (2003) Wilhelm T. Magnus Prize (1992) Honorary Professorship at Huang-Gang Normal University (2007) Labs/Teams: Collaborations include work with T. Grava on equilibrium measures and V. Pierce on Whitham equations. His research frequently involves numerical studies and asymptotic analysis of dispersive systems.

Tamara Gravaمشاهده پروفایل

دانشیار

• Integrable systems
• Nonlinear waves
• Random matrix theory
• +۵ مورد دیگر

Tamara Grava is an Associate Professor at the International School for Advanced Studies (SISSA) in Trieste, Italy, and a Professor at the University of Bristol, UK. Her research focuses on mathematical physics, particularly integrable systems, nonlinear waves, and random matrix theory. She maintains active collaborations between these two prestigious institutions, contributing significantly to both theoretical developments and interdisciplinary applications. Her educational background includes a PhD in Mathematical Physics from SISSA, completed on October 5, 1998, with a thesis titled "On the Cauchy problem for the Whitham equations" under the supervision of Boris Dubrovin. Professor Grava's research spans several interconnected areas in mathematical physics. She investigates integrable systems with random initial data, developing probabilistic Riemann-Hilbert methods to analyze soliton gases and their connections to statistical mechanics. Her work on dispersive nonlinear partial differential equations examines long-time and small-dispersion asymptotics, with particular attention to dispersive shock waves and rogue waves. She also makes significant contributions to random matrix theory, studying special functions, orthogonal polynomials, and their connections to Painlevé equations. Her research often bridges pure mathematics with applications in physics, revealing deep connections between seemingly disparate fields. Analysis of Professor Grava's recent publications (2021-2024) reveals a strong focus on the intersection of integrable systems, random matrix theory, and nonlinear wave phenomena. Her work increasingly explores soliton gases and their statistical properties, connecting microscopic soliton dynamics to macroscopic hydrodynamic descriptions. There's a clear progression toward more complex systems involving random initial conditions and the development of rigorous mathematical frameworks to handle these problems. Her research shows strong interdisciplinary connections between mathematical physics, statistical mechanics, and quantum field theory. Professor Grava actively supervises PhD students including Sacha Grover (Bristol), Dmitrii Rachenkov (SISSA), Xiao-Fan Zhang, Xiaodong Zhu, and Zechuan Zhang. Her editorial work includes service on the boards of Nonlinearity (since 2012), SIAM Journal of Mathematical Analysis (since 2022), Constructive Approximation (since 2023), and the Bulletin and Journal of the London Mathematical Society (starting 2025). She participates in numerous international conferences and workshops, with upcoming engagements in 2025 including events on enumerative combinatorics, integrable systems, and statistical physics at institutions including CIRM, Harvard University, and the MATRIX Institute.

• Integrable Systems
• Nonlinear Partial Differential Equations
• Random Matrices
• +۳ مورد دیگر

Professor Tamara Grava is affiliated with the School of Mathematics at the University of Bristol . Her research focuses on mathematical physics, particularly integrable systems and nonlinear partial differential equations. PhD (SISSA, Italy), MSci (Trieste) Active in dispersive equations and random matrices Recipient of the Wolfson Visiting Fellowship Research Interests: Tamara studies exactly solvable systems, emphasizing statistical descriptions of soliton behavior in nonlinear Schrödinger equations and eigenvalue distributions in non-Hermitian random matrices. Her work bridges asymptotic analysis, probability, and integrable systems. Scientific Awards: Wolfson Visiting Fellowship Projects: Wolfson Visiting Fellowship (2024–2026): Orthogonality, Riemann surfaces, and asymptotics Sogano (2025): Soliton gas and nonlinear dispersive equations Asymptotic analysis in integrable nonlinear waves (2021–2023)

Vasilisa Shramchenkoمشاهده پروفایل

استاد

• Algebraic Geometry
• Mathematical Physics
• Integrable Systems
• +۴ مورد دیگر

Vasilisa Shramchenko serves as Full Professor and Associate Director of Graduate Studies and Research in the Department of Mathematics at the University of Sherbrooke. Her work bridges advanced algebraic geometry with mathematical physics, focusing on structural frameworks governing complex systems. Educational background: Master of Science in Mathematics, St. Petersburg State University (2000) Ph.D. in Mathematics, Concordia University (2005) Her research program integrates Frobenius manifolds, integrable systems, and Riemann surface theory through the lens of isomonodromic deformations and Riemann-Hilbert problems. Key contributions include foundational work on Hurwitz spaces, Painlevé equations, and Eynard-Orantin topological recursion, revealing deep connections between algebraic curves, moduli spaces, and differential equations. This interdisciplinary approach extends to combinatorial enumeration and quantum field theory applications. Publication trends indicate sustained focus on algebro-geometric methods for solving nonlinear systems, with recent work emphasizing cluster algebras and superelliptic curve structures. Her output consistently appears in high-impact journals spanning mathematical physics and pure mathematics. Scientific recognition: No awards explicitly documented in source material Administrative leadership in graduate studies complements her research role, though specific grant funding or advisee information remains unreported. She actively contributes to the Algebraic and Geometric Structures Research Team and the Sherbrooke Mathematics Circle, fostering collaborative exploration of mathematical frontiers.