جست‌وجوی استاد و پژوهشگر

• Mathematical Physics
• Integrable Systems
• Soliton Theory
• +۳ مورد دیگر

Aikaterini Gkogkou serves as a Postdoctoral Fellow in the Department of Mathematics at Tulane University's School of Science & Engineering, conducting advanced research in mathematical physics from her office in Gibson Hall 421. Her work centers on nonlinear wave phenomena and integrable systems, with significant contributions to soliton theory and inverse scattering methods. Dr. Gkogkou specializes in the rigorous mathematical analysis of nonlinear partial differential equations, particularly the nonlinear Schrödinger equation (NLS) and short-pulse equations. Her research integrates analytical techniques like inverse scattering transforms with numerical methods to study soliton dynamics, wave propagation, and integrable discretizations. Key contributions include developing frameworks for soliton gas condensates, analyzing Yang-Baxter maps for coupled systems, and advancing computational approaches for equations with complex initial conditions. Analysis of her 2020-2025 publications reveals a consistent trajectory in integrable systems research, with increasing emphasis on multidimensional matrix formulations and numerical implementations. Her work bridges theoretical mathematics and physical applications in nonlinear optics, demonstrating how abstract integrable structures govern real-world wave phenomena across diverse initial value problems. No scientific awards or honors are publicly documented in available sources. As a postdoctoral researcher, Dr. Gkogkou focuses on independent investigation without formal student supervision. Her research program is supported by Tulane University resources and likely external funding mechanisms common in mathematical physics, though specific grant details remain undisclosed in accessible materials.

Deniz Bilmanمشاهده پروفایل

استادیار

• Nonlinear Waves
• Integrable Systems
• Riemann-Hilbert Problems
• +۴ مورد دیگر

Deniz Bilman is an Assistant Professor in the Department of Mathematical Sciences at the University of Cincinnati, within the College of Arts and Sciences. His research focuses on nonlinear waves, integrable systems, and their perturbations, with a particular emphasis on Riemann-Hilbert problems and dispersive PDEs. He holds a PhD from the University of Illinois at Chicago (2015) and completed postdoctoral research at the University of Michigan (2015–2019). His work includes groundbreaking studies on rogue waves, soliton theory, and numerical methods for inverse scattering problems. Key contributions include analyses of large-order solitons, far-field asymptotics, and infinite-order rogue wave solutions. He has received prestigious awards such as the 2019 Honored Instructor Award (awarded by students) and the 2017 B. Alan Taylor Award for excellence in teaching and research. Recent research activities involve computational advancements in soliton gas dynamics, universality in rogue wave phenomena, and collaborations on projects supported by the National Science Foundation and Simons Foundation. He actively participates in academic service, including organizing conferences on nonlinear waves and serving as Secretary for the SIAM Activity Group on Nonlinear Waves and Coherent Structures.

• Probability Theory
• Mathematical Physics
• Statistical Mechanics
• +۴ مورد دیگر

Alessandra Occelli is an Associate Professor at the Université d'Angers, affiliated with the LAREMA research group (Laboratoire Angevin de Recherche en Mathématiques) in the Department of Mathematics. Her primary research focus is on Probability Theory, Mathematical Physics, and Statistical Mechanics, with a specialization in the KPZ universality class, interacting particle systems, and random matrix theory. She actively organizes and participates in international conferences, including the 2025 InterPlay workshop in Angers and the 2024 Mini workshop on KPZ and mixing times at Oberwolfach. Her academic journey includes organizing thematic semesters at the Centre Henri Lebesgue and serving as an invited speaker at prestigious events such as the Latin American and Caribbean Mathematics Congress (2024), the Italian Meeting on Probability and Mathematical Statistics (2024), and the Columbia University KPZ workshop (2024). She is also a key figure in the Probabilités, Physique Mathématique et Analyse (2PMA) seminar series at Université d'Angers. Her recent research trends emphasize the interplay between integrable probability and interacting particle systems, with notable contributions to Muttalib-Borodin processes, last passage percolation, and stochastic Burgers equations. Her articles explore both discrete and continuous models, often employing Riemann-Hilbert analysis and hydrodynamic techniques. Alessandra collaborates widely, with affiliations extending to institutions like the Simons Center for Geometry and Mathematical Physics (Stony Brook) and the Institut Henri Poincaré. Her work frequently bridges theoretical developments with applications in non-equilibrium statistical physics and universality phenomena.

Tom Trogdonمشاهده پروفایل

دانشیار

• Numerical Analysis
• Applied Mathematics
• Random Matrix Theory
• +۳ مورد دیگر

Tom Trogdon is an Associate Professor in the Department of Applied Mathematics at the University of Washington. His research focuses on numerical analysis, Riemann-Hilbert problems, and random matrix theory, with applications to integrable systems and partial differential equations. He has organized major conferences, including the Second Conference on Random Matrix Theory and Numerical Linear Algebra (2025) and the NSF-CBMS Conference on Multiply-Connected Domains (2018). Trogdon is a co-author of the book *Riemann-Hilbert Problems, Their Numerical Solution and the Computation of Nonlinear Special Functions* (SIAM, 2016) and has developed software tools such as ISTPackage for inverse scattering transforms and NumericalUniversality for examining algorithmic universality. Software Contributions: ISTPackage (Mathematica), NumericalUniversality (Mathematica), Hill's Method (Python). Collaborators: Includes Sheehan Olver, Bernard Deconinck, Xiucai Ding, and others.

Bartosz Protasمشاهده پروفایل

استاد

• Applied Mathematics
• Computational Fluid Dynamics
• Optimization and Control Theory
• +۹ مورد دیگر

Bartosz Protas is a Professor in the Department of Mathematics and Statistics at McMaster University , where he served as Director of the School of Computational Science & Engineering (2009-2019) and currently holds the Chair of the Department. His research bridges computational fluid dynamics, optimization theory, and applied mathematics, focusing on extreme behavior in fluid models, vortex dynamics, and electrochemical systems. Research Themes: Finite-time singularity formation in Navier-Stokes/Euler equations, vortex stability analysis via shape calculus, optimal turbulence closures, electrochemical inverse problems with binder migration and dendrite growth, and Riemann-Hilbert applications in fluid mechanics. Collaborations: Kyoto University (Takashi Sakajo), University of Rouen (Ionut Danaila), University of Michigan (Charles Doering), and industrial partners like General Motors. Awards & Invitations: JSPS Visiting Fellow (2017), SHARCNET Chair (2003), and multiple visiting professorships at top European institutions. Advising: Supervised 15+ Ph.D./M.Sc. students including Diego Ayala (recipient of Canadian Applied Mathematics Society's Cecil Graham Award) and Vladislav Bukshtynov. His recent publications analyze lithium plating in batteries, singularities in 3D Euler flows, and Sobolev gradient methods for PDE optimization.

Thomas Bothnerمشاهده پروفایل

دانشیار

• Random Matrix Theory
• Mathematical Statistical Mechanics
• Integrable Differential Equations
• +۴ مورد دیگر

Dr. Thomas Bothner is an Associate Professor in Mathematical Physics at the School of Mathematics, University of Bristol. His research focuses on analytic and probabilistic questions in random matrix theory, mathematical statistical mechanics, and integrable differential equations. BSc in Mathematics and Physics (University of Ulm, 2007) MSc in Mathematics (University of Ulm, 2009) PhD in Mathematical Physics (Purdue University, 2013) His work emphasizes asymptotics methods, special functions, and orthogonal polynomials, particularly addressing universality classes in random matrices, spectral analysis of integrable operators, and connections to the KPZ equation. He has published extensively on Painlevé transcendents and their applications. Recent publications highlight his contributions to non-Hermitian random matrices, edge spacing distributions, and Riemann-Hilbert approaches to Fredholm determinants. His research outputs span 21 articles and two completed projects, including studies on the six-vertex model and 2D Ising model scaling functions. EPSRC New Investigator Award (2020) Gabor Szego Prize (2019) He leads research projects at the intersection of random matrices and mathematical statistical mechanics, aiming to resolve long-standing conjectures on analytic and asymptotic behaviors of highly correlated systems.

Gerald Teschlمشاهده پروفایل

استاد

• Mathematical Physics
• Spectral Theory
• Nonlinear Dynamics
• +۳ مورد دیگر

Gerald Teschl is a Professor in the Department of Mathematics at the University of Vienna, affiliated with the Faculty of Mathematics. He is a leading researcher in mathematical physics and partial differential equations, focusing on spectral theory, integrable systems, and nonlinear wave equations. His work bridges pure mathematics with applications in quantum mechanics, functional analysis, and biomathematics. Roles: Professor, Researcher, Educator Affiliations: Faculty of Mathematics, University of Vienna; Erwin Schrödinger International Institute for Mathematics and Physics (ESI) Education: PhD in Mathematics from the University of Missouri (1995). Diploma in Mathematics from TU Graz (1993). Research Interests: Spectral and inverse spectral theory of differential operators, completely integrable nonlinear wave equations (e.g., KdV, Toda lattices), algebro-geometric solutions, biomathematical modeling of respiratory systems, and functional analysis. Publications: Over 150 peer-reviewed articles, research monographs, and textbooks including Mathematical Methods in Quantum Mechanics and Ordinary Differential Equations and Dynamical Systems . His work often explores connections between spectral theory and integrable systems. Grants & Projects: Principal investigator in FWF-funded projects (START Y330, Doctoral Program Dissipation and Dispersion in Nonlinear Differential Equations). Active in international collaborations and conferences. Labs/Teams: Member of the Mathematical Physics and PDE research group at the University of Vienna.

Abey López-Garcíaمشاهده پروفایل

دانشیار

• Analysis
• Multiorthogonal Polynomials
• Potential Theory
• +۴ مورد دیگر

Abey López-García is an Associate Professor in the Department of Mathematics at the University of Central Florida (UCF). He joined UCF in August 2017 and has previously worked as a postdoc at the University of Leuven (2010-2013) and at the University of South Alabama (2013-2017). He holds a bachelor’s degree from Universidad Complutense de Madrid and a doctoral degree from Vanderbilt University. López-García is a collaborator of the GAMA research group at Universidad Carlos III de Madrid. Education : Bachelor in Mathematics, Universidad Complutense de Madrid, Spain PhD in Mathematics, Vanderbilt University His research focuses on Analysis, particularly multiorthogonal polynomials , minimal energy problems , potential theory , and connections to random matrices and random polynomials . His publications explore asymptotics, recurrence relations, and equilibrium problems in these areas. Recent work includes studies on Nikishin systems, greedy energy sequences, and lattice path models. Teaching : Courses include Calculus I-III, Ordinary Differential Equations, Linear Algebra, and advanced topics like Random Matrix Theory and Special Functions. Office hours are held on Mondays and Wednesdays. Collaborative ties with Universidad Carlos III de Madrid’s GAMA group and participation in international conferences (e.g., Constructive Functions 2025, Baylor Analysis Fest) highlight his academic engagements.

Guido Mazzucaمشاهده پروفایل

پژوهشگر ارشد

• Nonlinear Dynamics
• Random Matrix Theory
• Mathematical Physics
• +۳ مورد دیگر

Guido Mazzuca is a Postdoc Fellow at Tulane University's School of Science & Engineering, affiliated with the Department of Mathematics. His research focuses on nonlinear dynamics, integrable systems, and random matrix theory. Current affiliation: Tulane University (Department of Mathematics) Position: Postdoc Fellow Research Interests: Guido investigates soliton synchronization, universality in wave phenomena, and statistical properties of integrable systems. His work bridges mathematical physics with probability theory. Publications: Recent studies explore large deviations, hydrodynamic scaling, and spectral analysis across Ablowitz-Ladik and Toda lattices. Applications span soliton gas condensates and Dyson's disordered chains.

Maksim Kosmakovمشاهده پروفایل

استادیار مهمان

• Mathematical Physics
• Representation Theory
• Asymptotic Analysis
• +۳ مورد دیگر

Maksim Kosmakov is a Visiting Assistant Professor in the Department of Mathematics at the University of Cincinnati, affiliated with the College of Arts and Sciences. His research focuses on representation theory, integrable models, the Riemann–Hilbert problem, and asymptotic analysis. Recent work includes developing new combinatorial formulas for weight functions in the nested Bethe ansatz and studying the asymptotics of solutions to the tt* equation (linked to quantum cohomology of CPⁿ) using Riemann–Hilbert techniques. He holds office hours in French Hall 5311 and can be reached via university contact channels. No awards, grants, or advising activities are explicitly listed in the provided materials.

Marco Bertolaمشاهده پروفایل

استاد

• Mathematical Physics
• Integrable systems
• Inverse problems
• +۲ مورد دیگر

Marco Bertola is a Full Professor and Head of the Department of Mathematics and Statistics at Concordia University. His academic career spans over two decades with significant contributions to mathematical physics and integrable systems. Dr. Bertola received his Ph.D. from SISSA-ISAS in Trieste, Italy in 1999. His research has established him as a leading expert in several areas of mathematical physics. His primary research interests focus on Mathematical Physics , particularly Integrable systems , Inverse problems , Asymptotics in nonlinear integrable equations , and Moduli spaces . His work often centers around the mathematical analysis of nonlinear partial differential equations, especially the nonlinear Schrödinger equation, which has applications in optical fibers and ocean wave phenomena. His research has provided fundamental insights into the behavior of solutions near singularities, known as "gradient catastrophes," and their connection to Painlevé equations. He has made significant contributions to understanding rogue waves in the ocean through mathematical modeling. Dr. Bertola's publication record demonstrates consistent high-impact research output, with numerous papers in top mathematical physics journals. His recent work shows a continued focus on deep connections between integrable systems, random matrix theory, orthogonal polynomials, and Painlevé equations. His research often bridges abstract mathematical concepts with physical applications, particularly in wave propagation phenomena. Dr. Bertola is an active participant in the international mathematical community, regularly attending and contributing to specialized workshops and conferences on integrable systems and mathematical physics, including events at the Isaac Newton Institute and other prestigious institutions.

Yaroslav Prylepskiyمشاهده پروفایل

پژوهشگر ارشد

• Optical Communications
• Nonlinear Systems
• Machine Learning
• +۵ مورد دیگر

Yaroslav Prylepskiy is a Senior Research Fellow at the Aston Institute of Photonic Technologies (AiPT), part of the College of Engineering and Physical Sciences at Aston University. His roles include research leadership in optical communications, machine learning, and nonlinear systems. He holds a PhD in Theoretical Physics from the B.I. Verkin Institute for Low Temperature Physics and Engineering, Ukraine. Education: M.Sc. in Theoretical Physics, Kharkov National University (1999) Ph.D. in Theoretical Physics, Verkin Institute (2003) Research Interests: Optical communications and signal processing Nonlinear Fourier transform (NFT) and soliton-based transmission Machine learning applications in optical systems Nonlinear Schrödinger Equation and Riemann-Hilbert problem Grants/Collaborations: Leverhulme Trust project (2018–23) Marie S. Curie COFUND action (2018–20) H2020 FONTE Innovative Training Network (2018–22) Advising: Supervised 7 PhD students, including current advisees in optical communications and AI. Labs/Teams: Active in AiPT and international collaborations with institutions like ANU, Kharkov National University, and Ben Gurion University.

Sheehan Olverمشاهده پروفایل

دانشیار

• Applied Mathematics
• Numerical and Computational Mathematics
• Pure Mathematics
• +۳ مورد دیگر

Dr. Sheehan Olver is an Associate Professor in Applied Mathematics and Mathematical Physics at the Department of Mathematics, Imperial College London. He holds affiliations in Applied Mathematics and Mathematical Physics, Applied and Numerical Analysis, and Mathematics research and teaching staff. His research focuses on numerical analysis, computational methods, and spectral methods for differential equations, singular integral equations, and Riemann–Hilbert problems, with applications in integrable systems and random matrices. Education: PhD in Applied Mathematics from the University of Cambridge (2008). Smith-Knight/Rayleigh-Knight Prize Winner (2006). Research Interests: Spectral methods, orthogonal polynomials, fractional differential equations, representation theory applications, and numerical solutions of integrable systems. His work emphasizes efficient, sparse numerical techniques for solving complex mathematical problems across domains like fluid dynamics and quantum mechanics. Labs/Teams: Active in software development for computational mathematics, including packages like ApproxFun.jl and RHPackage . Collaborates widely with institutions such as the University of Oxford, Cornell University, and the University of Sydney. Grants/Awards: While no specific awards are listed, his extensive publication record and software contributions reflect sustained recognition in computational mathematics.

• Integrable Systems
• Random Matrix Theory
• Riemann-Hilbert Problems
• +۳ مورد دیگر

Percy A. Deift is a Silver Professor of Mathematics at the Courant Institute of Mathematical Sciences, New York University. He holds a Ph.D. in Mathematical Physics from Princeton University (1977), and earlier degrees from South African institutions. His research focuses on integrable systems, random matrix theory, Riemann-Hilbert problems, and spectral theory, with an emphasis on asymptotic analysis and universality questions. He has taught advanced courses such as Riemann-Hilbert Problems, Functional Analysis, Random Matrix Theory, and Linear Algebra. Deift's work bridges mathematical physics and pure mathematics, leveraging tools like the Riemann-Hilbert method to study long-time behavior of solutions in nonlinear systems and universality in random matrix ensembles. His 2011 publications address Toeplitz determinants, nonlinear Schrödinger equations, and sigma-delta quantization schemes. Teaching materials from courses like Functional Analysis (2015-2016) and Random Matrix Theory (2018) are publicly accessible. No formal awards or advisees are listed in the provided texts.

Oleksandr Minakovمشاهده پروفایل

استادیار

• Nonlinear integrable equations
• Orthogonal polynomials
• Asymptotic analysis
• +۱ مورد دیگر

Oleksandr Minakov is an Assistant Professor in the Department of Mathematical Analysis at Charles University's Faculty of Mathematics and Physics, Prague. His research centers on nonlinear integrable equations and orthogonal polynomials using asymptotic and Riemann-Hilbert techniques. His core research interests include: Integrable equations Asymptotic analysis Riemann-Hilbert problems Orthogonal Polynomials Analysis of Minakov's recent publications (2020-2023) reveals a consistent focus on long-time dynamics of nonlinear partial differential equations, particularly the modified Korteweg-de Vries equation and nonlinear Schrödinger equation, with significant applications in random matrix theory (e.g., real Ginibre ensemble) and optical pulse propagation in laser physics. His methodology rigorously employs Riemann-Hilbert problem frameworks to derive asymptotic solutions for step-like initial data and shock problems. Minakov maintains active collaborations with researchers including Vladimir Kotlyarov, Tamara Grava, and Tom Claeys, with publications in top-tier journals such as Communications on Pure and Applied Mathematics and Communications in Mathematical Physics. His preprints on arXiv further extend his work into random matrix ensembles and integrable systems. He supervises academic work as indicated on his homepage, though specific student details are unavailable. Contact is available via oleksandr.minakov@mff.cuni.cz or minakov@karlin.mff.cuni.cz from room K226 at Karlín (Sokolovská 83, Prague 8).