جست‌وجوی استاد و پژوهشگر

• Partial Differential Equations
• Dispersive and Wave Equations
• Low Regularity Well-Posedness
• +۷ مورد دیگر

Justin Forlano is a Lecturer in the School of Mathematics at Monash University. He holds a PhD in Mathematics from Heriot-Watt University, completed in 2020. He has held postdoctoral positions as a Postdoctoral Research Associate at the University of Edinburgh (2023–2024) and as Hedrick Assistant Adjunct Professor at the University of California, Los Angeles (2020–2023). Education: PhD in Mathematics, Heriot-Watt University, 2016–2020 His research focuses on nonlinear dispersive partial differential equations, particularly in low regularity settings. Key areas include well-posedness, harmonic analysis, Fourier restriction, Strichartz estimates, invariant and quasi-invariant measures, and probabilistic methods in PDEs. He works on equations such as the modified KdV, BBM, fractional nonlinear Schrödinger, and intermediate long wave equations. The recent article trends reveal a strong emphasis on probabilistic and measure-theoretic approaches to nonlinear dispersive PDEs. His work frequently explores the transport of Gaussian and other measures under nonlinear flows, almost sure well-posedness, and long-time behavior of solutions in critical and supercritical regularity regimes. This reflects a deep integration of probability, analysis, and dynamical systems in modern PDE theory. Scientific Awards: No awards listed in the provided text. Advising and Grants: There is no mention of students advised or grants received in the provided information. However, his active research output and collaborations suggest engagement in the academic community. He has published in high-impact journals such as Transactions of the American Mathematical Society , Communications in Partial Differential Equations , and Proceedings of the Royal Society of Edinburgh . Labs and Research Teams: No specific lab or research team is named, but Justin Forlano collaborates extensively with researchers across institutions and countries, including Lorenzo Tolomeo, Kihoon Seong, Andreia Chapouto, Guo Li, Tadahiro Oh, and Didier Pilod. These collaborations span topics in stochastic wave equations, fractional NLS, and integrable systems, indicating active participation in international research networks.

Juan Rios Ocampoمشاهده پروفایل

مدرس

• Urban Planning
• Systems Dynamics
• Sustainable Development
• +۳ مورد دیگر

Juan Rios Ocampo is a Lecturer in the Department of Management Science at Strathclyde Business School, University of Strathclyde. He holds a BS in Economics from the National University of Colombia, an ME in Systems Engineering from the same institution, and a PhD in Management from the University of New South Wales (UNSW), Sydney, as a Scientia Scholar. His research focuses on policymakers' mental models, urban planning decision-making, and their impact on societal well-being in cities, employing systems dynamics and agent-based modeling. Research Interests: Cross-disciplinary research combining social, economic, and environmental sciences, with applications in urban development, energy security, and the digital divide. Projects include analyzing Colombia’s socio-economic challenges related to energy markets and digital inequality, as well as urban growth strategies in Sydney. Publications: Recent works address urban housing affordability, unintended environmental challenges in urban growth, and renewable energy policy. His articles span journals like Frontiers in Sustainability , Nature Cities , and Renewable and Sustainable Energy Reviews . Professional Activities: Principal Investigator for projects on modeling complex problems and urban policy mapping. Participated in the Cultivating Sustainable Research Cultures Programme (2025). Collaborations include interdisciplinary teams at Colombia’s Ministry of ICT and UNSW. Awards: Scientia Scholar (UNSW).

• Partial Differential Equations
• Nonlinear Analysis
• Elliptic Equations
• +۴ مورد دیگر

Marta Latorre Balado is a mathematical researcher affiliated with the Universitat de València, specifically within the Department of Mathematical Analysis. She is associated with the research group EDPNOL (Nonlinear Partial Differential Equations), focusing on advanced topics in PDE theory. She earned her PhD in 2018 with a dissertation on elliptic equations involving the 1-Laplacian operator, supervised by Dr. Sergio Segura de León. Her research lies at the intersection of nonlinear analysis and partial differential equations, particularly those with singularities, gradient dependencies, and variational structures. Her publications reveal a strong focus on existence, uniqueness, and regularity of solutions for equations involving the 1-Laplacian and related operators. Key themes include singular terms, L^1 and Marcinkiewicz data, dynamical boundary conditions, and blow-up behavior in reaction-diffusion systems. Her work contributes to the theoretical foundations of nonlinear PDEs with applications in mathematical physics and image processing. Notable trends in her research include the use of BV (bounded variation) spaces, comparison principles, and self-similar solutions. She frequently collaborates with experts such as Sergio Segura de León, Razvan Iagar, and Ariel Sánchez. Marta has not been awarded any listed scientific prizes in the provided data and has no known advisees. She has co-authored 11 publications since 2017, primarily in reputable journals like Journal of Mathematical Analysis and Applications and Nonlinearity . She is part of an active research team in nonlinear PDEs at her institution, contributing to both theoretical developments and collaborative projects in mathematical analysis.

• Partial Differential Equations
• Nonlinear PDEs
• Nonlocal Equations
• +۹ مورد دیگر

Marcos Solera Diana is an Assistant Professor in the Department of Mathematical Analysis at the Faculty of Mathematics, Universitat de València. His research lies at the intersection of partial differential equations, functional analysis, and applied mathematics, with a focus on nonlocal and nonlinear phenomena. His primary research interests include: Nonlinear and nonlocal partial differential equations Gradient flows in discrete and metric spaces Applications to image processing and clustering Geometric flows and inequalities Instability and non-uniqueness in fluid mechanics His recent publications, spanning from 2020 to 2023, demonstrate a consistent focus on PDEs in the context of metric random walk spaces and graphs. These works explore the heat flow, total variation flow, and doubly nonlinear diffusion, contributing to the theoretical understanding of evolution equations in discrete settings. The research trends indicate a strong foundation in analysis and a growing interest in connections with geometry and fluid dynamics. Marcos earned his PhD in 2021 from the Universitat de València with a thesis on Gradient flows in random walk spaces , supervised by Dr. José Manuel Mazón Ruiz and Dr. José Julián Toledo Melero. He is an active member of the EDPNOL (Nonlinear Partial Differential Equations) research group. He has collaborated extensively with researchers such as J. Julián Toledo and José M. Mazón Ruiz, resulting in publications in high-quality journals including Journal of Functional Analysis , Calculus of Variations and Partial Differential Equations , and Advances in Calculus of Variations .

Jose Julian Toledo Meleroمشاهده پروفایل

استاد

• Partial Differential Equations
• Nonlocal Diffusion
• Calculus of Variations
• +۷ مورد دیگر

Jose Julian Toledo Melero is a Professor in the Department of Mathematical Analysis at the Faculty of Mathematics, Universitat de València. He is a leading researcher in nonlinear partial differential equations, with a focus on nonlocal diffusion, evolution equations, and optimal transport in metric random walk spaces. His work bridges pure and applied analysis, with strong collaborations with mathematicians such as José M. Mazón and Julio D. Rossi. His research interests include: Nonlinear Partial Differential Equations Nonlocal Diffusion and Operators Calculus of Variations and Optimal Transport Evolution Problems in Metric Spaces Geometric Analysis and Minimal Surfaces Doubly Nonlinear and Degenerate Equations The recent articles show a consistent focus on analytical and geometric properties of nonlocal models, particularly in discrete and metric random walk settings. His work frequently appears in top journals such as Calculus of Variations , SIAM Journal on Mathematical Analysis , and Journal of Evolution Equations , often in collaboration with leading experts. The publications reveal a deep engagement with both theoretical foundations and structural analysis of solutions. He has co-authored influential books such as Nonlocal Diffusion Problems (AMS, 2010) and Variational and Diffusion Problems in Random Walk Spaces (Birkhäuser, 2023), which are key references in the field. His research is highly cited, indicating significant impact in the mathematical community. He advises no publicly listed students in the provided data. There is no mention of specific grants or teaching roles, but his extensive publication record and book authorship reflect a sustained and high-level research career. He maintains an active research profile with upcoming events such as the 2025 CIMPA-UCA School on optimal transport and PDEs, suggesting ongoing leadership and contribution to the international mathematical community.

• Numerical Analysis
• Partial Differential Equations
• Fluid Mechanics
• +۹ مورد دیگر

Pep Mulet Mestre is a full Professor in the Department of Mathematics at the Faculty of Mathematics, Universitat de València. He is a member of the ANIMS research group, focusing on Numerical Analysis, Images, Multiresolution, and Simulation. University: Universitat de València School: Faculty of Mathematics Department: Department of Mathematics Research Group: ANIMS His primary research interests include numerical analysis, partial differential equations, fluid mechanics, image processing, and high-order finite difference methods. He has made significant contributions to WENO schemes, total variation-based image restoration, and models for sedimentation and traffic flow. The 15 most recent publications highlight a consistent focus on high-order accurate numerical methods, particularly WENO and IMEX schemes, applied to conservation laws, image processing, and biological models. His work bridges theoretical numerical analysis with practical applications in fluid dynamics and epidemiology. He has collaborated extensively with researchers such as Raimund Bürger, Rosa Donat, Antonio Baeza, and David Zorío, resulting in over 60 indexed publications since 1996. Dr. Mulet earned his PhD from the Universitat de València in 1992 with a thesis on local cohomology and duality in non-commutative Gorenstein rings, supervised by Dr. A. Verschoren. He advises graduate students and leads research projects in numerical methods for PDEs and scientific computing, though specific advisees are not listed in the provided text. There is no mention of specific grants or scientific awards in the available information.

Jan-Frederik Pietschmannمشاهده پروفایل

استاد

• Nonlinear Partial Differential Equations
• Gradient Flows
• Parameter Identification in PDEs
• +۳ مورد دیگر

Jan-Frederik Pietschmann is a Professor for Inverse Problems at the University of Augsburg's Faculty of Mathematics, Natural Sciences and Technology. He previously held the same position at TU Chemnitz (2018–2023) and served as a Research Associate at institutions including the University of Münster and TU Darmstadt. University of Cambridge (PhD, Mathematics, 2008–2011) University of Münster (Diploma, Mathematics and Physics, 2008) Habilitation in Mathematics, University of Münster, 2018 His research focuses on the analysis of nonlinear PDEs , gradient flows , and parameter identification in PDEs . Recent work explores applications to cell invasion , pedestrian dynamics , neurite growth , and organic semiconductors . Publications highlight his expertise in optimal transport , cross-diffusion systems , and uncertainty quantification . Notable trends in his 15 most recent articles include Nonlinear PDEs for biological and physical systems Optimal transport on networks and metric graphs Computational methods for inverse problems His current team includes Gianna Götzmann, Carmen Tretmans, and Team Assistant Juliane Krautz. Contact details: jan-f.pietschmann@uni-a.de , +49 821 598-3926.

Jon Leeمشاهده پروفایل

استاد

• Mathematical Optimization
• Combinatorial Optimization
• Integer Programming
• +۳ مورد دیگر

Jon Lee is the G. Lawton and Louise G. Johnson Professor of Engineering at the University of Michigan's College of Engineering. He previously held faculty positions at Yale University and the University of Kentucky, and served as an adjunct professor at New York University. Before his academic career, he was a Research Staff member at IBM T.J. Watson Research Center where he managed the mathematical programming group. Lee's research focuses on mathematical optimization, particularly combinatorial optimization, integer programming, and maximum-entropy sampling. His work bridges theoretical foundations with practical applications in experimental design, statistical modeling, and computational mathematics. He has made significant contributions to D-optimal design theory, perspective relaxations for nonconvex optimization, and generalized inverse computations. His recent publication trends (2022-2025) show consistent work in maximum-entropy sampling problems, D-optimal design algorithms, convex relaxations for nonconvex optimization, and generalized inverse computations. The articles demonstrate increasing sophistication in handling large-scale optimization problems while maintaining theoretical rigor, with particular emphasis on algorithmic efficiency for real-world applications. Lee has received notable recognition including: INFORMS Computing Society Prize (2010) Fellow of INFORMS (since 2013) As an academic leader, Lee has served as founding Managing Editor of Discrete Optimization (2004-06), currently serves as Co-Editor of Mathematical Programming, and is on editorial boards for Optimization and Engineering and Discrete Applied Mathematics. He chaired the Mathematical Optimization Society (2008-10) and the INFORMS Optimization Society (2010-12). His textbook A First Course in Combinatorial Optimization (Cambridge University Press) and open-source book A First Course in Linear Optimization have become standard references in the field. Lee maintains active research collaborations through his work with the Mathematical Optimization Society and INFORMS, and has participated in significant research programs including the Fall 2017 program on Bridging Continuous and Discrete Optimization at the Simons Institute.

Mireille E. Brouckeمشاهده پروفایل

استاد

• Mathematical System Theory
• Hybrid Systems
• Control Theory for Complex Specifications
• +۶ مورد دیگر

Mireille E. Broucke is a Professor in the Department of Electrical and Computer Engineering at the University of Toronto's Faculty of Applied Science and Engineering. She holds a PhD in Electrical Engineering and Computer Sciences from UC Berkeley (2000) and has extensive industry experience in control systems at companies like Texas Instruments and Lockheed. Her academic career includes visiting roles at UC Berkeley and the University of Bologna. B.S. (1984), University of Texas at Austin M.S. (1987), University of California, Berkeley PhD (2000), University of California, Berkeley Her research focuses on mathematical system theory , particularly hybrid systems , reach control problems , and geometric control . Recent work explores systems neuroscience , modeling brain processes through control theory. She has developed adaptive internal models and robust parameter adaptation frameworks. Key article trends include adaptive control in neuroscience, reach control theory for robotics, and geometric methods in linear systems. Her collaborations span institutions like TU Delft and the University of Bologna, with applications in quadcopter motion control and multi-robot coordination . Scientific Awards Member of the Institute of Electrical and Electronics Engineers (IEEE) Professional Engineer of Ontario Broucke advises students in control theory , robotics , and hybrid systems . She has led projects at research units like PATH (UC Berkeley) and PARADES (Rome). Her teaching portfolio includes courses on robot control , nonlinear systems , and geometric control theory . She contributes to linear quadratic optimal control and motion planning algorithms .

Emanuele Spadaroمشاهده پروفایل

استاد

• Geometric Measure Theory
• Calculus of Variations
• Partial Differential Equations
• +۵ مورد دیگر

Emanuele Spadaro is a Full Professor in the Mathematical Department at Sapienza Università di Roma, where he leads advanced research in geometric measure theory, calculus of variations, and partial differential equations. He is the Principal Investigator of the ERC-funded project HiCoS (Higher Co-dimension Singularities), which investigates singularities in minimal surfaces and free boundary problems, particularly in higher co-dimensions. His research focuses on deep analytical and geometric aspects of variational problems. Key areas include the structure of free boundaries, regularity of solutions, minimal surfaces, and obstacle problems—both classical and fractional. His work combines tools from geometric measure theory, nonlinear PDEs, and variational methods to understand the behavior of singularities and geometric evolution processes. The recent publications show a consistent trend toward understanding fine structures in free boundary problems and minimal surfaces, with a strong emphasis on higher co-dimension phenomena. His collaborations with prominent mathematicians such as Camillo De Lellis, Matteo Focardi, and others reflect a high-impact research trajectory in geometric analysis. Emanuele Spadaro has secured significant funding through the European Research Council (ERC) under Horizon 2020 (Grant agreement No. 759229). He currently supervises two PhD students: Luca Di Fazio and Paolo Di Donato, contributing to the next generation of researchers in analysis and geometry. He teaches core mathematics courses including Analisi Matematica 1 and Equazioni alle derivate parziali . His office is located in Room 103 of the 'G. Castelnuovo' Mathematical Department, and he holds weekly office hours by appointment on Mondays from 9:00 to 11:00. Project: HiCoS – Higher Co-dimension Singularities Funding: ERC Starting Grant (2017), Horizon 2020 (Grant No. 759229) Students: Luca Di Fazio, Paolo Di Donato

Ed Buelerمشاهده پروفایل

استاد

• Glaciology
• Ice Sheet Modeling
• Computational Mathematics
• +۷ مورد دیگر

Ed Bueler is Professor of Mathematics (Applied) in the Department of Mathematics & Statistics within the College of Natural Science & Mathematics at the University of Alaska Fairbanks. His academic work bridges computational mathematics and glaciology, with particular emphasis on ice sheet modeling and numerical methods for partial differential equations. His research interests focus on computational glaciology , specifically ice sheet modeling through the Parallel Ice Sheet Model (PISM) which he has significantly contributed to developing. His work spans continuum mechanics , finite element methods , and high-performance computing implementations for geophysical applications. He actively researches numerical solutions to partial differential equations, particularly using the PETSc framework and Firedrake for fluid dynamics and solid mechanics problems. Bueler's recent publications demonstrate consistent contributions to computational glaciology with emphasis on numerical accuracy, computational efficiency, and high-resolution ice sheet simulations. His work shows strong integration between theoretical mathematics and practical geophysical modeling, particularly in developing stable numerical schemes for complex ice dynamics problems. The evolution of his research shows increasing sophistication in handling coupled systems and parallel implementations. He organizes the UAF Math 692 Graduate Seminar on Fluids and Solids: Mathematics and Numerics, fostering interdisciplinary connections between mathematics, geophysics, and engineering. Bueler has authored the book PETSc For Partial Differential Equations: Numerical Solutions in C and Python which serves as a key resource for computational scientists. As part of the Geophysical Institute at UAF, Bueler collaborates within the SIP (presumably Simulation and Inversion Problems) group, contributing to the university's strength in Arctic research. His teaching portfolio includes advanced courses in real analysis, numerical linear algebra, and specialized topics in computational mathematics.

• Analysis on manifolds
• Spectral theory
• Partial differential equations
• +۳ مورد دیگر

Prof. Dr. Elmar Schrohe is a faculty member at the Institute for Analysis within the Faculty of Mathematics and Physics at Leibniz University Hannover . His academic career has been closely tied to the university, where he has contributed to research and graduate training programs. Email: elmar.schrohe@math.uni-hannover.de Location: Welfengarten 1, 30167 Hanover, Building 1101, Space F123 Research Interests : His work focuses on analysis on manifolds with conical singularities , partial differential equations , spectral theory , and operator algebras . He explores geometric and analytic aspects of differential operators, index theorems, and quantum field theory on singular spaces. Key keywords: Conical singularities, Elliptic operators, Spectral triples, Noncommutative residues, Boundary value problems, Fourier integral operators Collaborations : Schrohe is affiliated with the Riemann Center for Geometry and Physics and has participated in interdisciplinary research initiatives at Leibniz University.

Bojan Guzinaمشاهده پروفایل

استاد

• Wave Mechanics
• Inverse Problems
• Elastodynamics
• +۵ مورد دیگر

Bojan Guzina is the Shimizu Professor in the Department of Civil, Environmental, and Geo-Engineering at the University of Minnesota's College of Science and Engineering. His research focuses on direct and inverse problems involving wave motion, with applications spanning nondestructive evaluation of materials and structures, seismic imaging, medical diagnosis, and the design of metamaterials including seismic metabarriers. His research interests include: Inverse scattering and wave propagation in heterogeneous media Waves in periodic and random media, including phononic crystals and metamaterials Nonlinear waves in soft solids with applications to medical imaging Seismic imaging and geodynamics Nondestructive evaluation techniques for civil infrastructure Professor Guzina leads the Waves & Imaging Laboratory at the University of Minnesota, which employs advanced experimental techniques including 3D Scanning Laser Doppler Vibrometry to study wave phenomena in various materials. His research group has made significant contributions to the understanding of wave mechanics and inverse problems, with applications ranging from civil infrastructure assessment to medical diagnostics. His research has been recognized with numerous awards, including: ASCE Nathan M. Newmark Medal (2019) Professor Guzina has successfully mentored several PhD students who have gone on to faculty positions at prestigious institutions including UT Austin, Sorbonne Université, Chinese Academy of Sciences, and University of Colorado Boulder. His research has been supported by multiple grants from organizations including the National Science Foundation, Department of Energy, and Minnesota Department of Transportation. His laboratory, the Waves & Imaging Lab @UMN, conducts cutting-edge research on wave phenomena using both experimental and computational approaches, with a focus on developing novel methods for imaging and characterization of materials and structures.

Shizan Fangمشاهده پروفایل

استاد

• Probability
• Statistics
• Optimization
• +۶ مورد دیگر

Shizan Fang is a Professor at the Institute of Mathematics of Burgundy , affiliated with the University of Burgundy . His research focuses on probability, statistics, optimization, and control, with significant contributions to stochastic differential equations, Navier-Stokes equations, and optimal transport theory. Email: shizan.fang@ube.fr Office: Mirande Building, Wing A, Office 330 His recent work explores stochastic analysis on Riemannian manifolds, spectral gaps in path space, and generalized flows for hydrodynamic equations. Publications span top-tier journals like Annali Scuola Normale Sup. di Pisa , Potential Analysis , and Journal of Functional Analysis . Professor Fang collaborates internationally, with past lectures at Beijing Normal University, University of Bielefeld, and Université de Strasbourg. He contributes to training at the Master level in mathematics and applications.

• Mathematical Optimization
• Non-convex Optimization
• Numerical Analysis
• +۳ مورد دیگر

Dr. Salah Beddiaf is a researcher affiliated with the University of Hertfordshire , working within the School of Physics, Engineering & Computer Science and the Department of Physics, Astronomy and Mathematics . He is associated with the Centre for Astrophysics Research (CAR) and has focused on mathematical optimization techniques, particularly for non-convex problems. Research Focus: Non-convex optimization, trust region methods, curvilinear search algorithms, and steepest descent path analysis Collaborators: Michael Bartholomew-Biggs and Bruce Christianson Publications: 5 peer-reviewed works from 2009–2022 in journals like Numerical Algorithms and Advanced Modeling and Optimization Email: s.beddiaf@herts.ac.uk His research explores algorithmic approaches to navigating non-convex landscapes in optimization problems. Key methodologies include trust region techniques, curvilinear search strategies, and gradient-based path-following systems. The work has applications in computational mathematics and modeling complex systems. Scientific contributions are concentrated in optimization theory and numerical analysis, with repeated emphasis on non-convex function handling, algorithm convergence, and robustness in computational frameworks.