Nonlinear Dispersive Models Professors and Supervisors | ApplySharif

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Fengyan LiView profile

Professor

Rensselaer Polytechnic InstituteUnited States

Dr. Fengyan Li is a Professor in the Department of Mathematical Sciences at Rensselaer Polytechnic Institute (RPI). She holds a PhD in Applied Mathematics from Brown University (2004) and previously held a postdoc at the University of South Carolina. Her research focuses on numerical analysis and scientific computing, particularly discontinuous Galerkin methods for applications in wave propagation, fluid dynamics, plasma physics, and nonlinear optics. She has received prestigious awards including the NSF-CAREER Award (2009) and Alfred P. Sloan Fellowship (2008). Dr. Li serves on editorial boards of journals like SIAM Journal of Numerical Analysis and IMA Journal of Numerical Analysis. Education: PhD in Applied Mathematics (Brown University, 2004); MS & BS in Computational Mathematics (Peking University, 2000 & 1997). Research interests emphasize multi-scale simulations, reduced-order modeling, and high-order methods. Her work addresses challenges in kinetic transport, nonlinear optics, and plasma dynamics. She has delivered plenary talks at major conferences, including ICOSAHOM (2018) and NAHOMCon (2022). Professional service includes leadership roles in the Association for Women in Mathematics (AWM), co-organizing symposiums, and mentoring. She is a 2025 AWM Fellow and advises RPI's AWM Student Chapter.

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Oskar HallatschekView profile

Associate Professor

University of California, BerkeleyUnited States

Oskar Hallatschek is an Associate Professor and McAdams Chair in the Department of Physics and Integrative Biology at the University of California, Berkeley. His research focuses on biological physics and evolutionary dynamics, particularly how collective patterns emerge from heterogeneous microbial populations. He leads the Hallatschek Lab, which maintains collaborations with institutions like the University of Leipzig. Research Emphasis: Microbial systems, population genetics, non-equilibrium statistical physics, evolutionary adaptation, and mechanical interactions in cellular populations. Publications span journals like Nature , PNAS , and Science , with recent work on allele surfing, jamming in microbial colonies, and long-range dispersal effects. Grants: Supported by NIH and NSF, as indicated by institutional logos in the lab web presence.

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Amir Farokh PayamView profile

Senior Lecturer

Ulster UniversityUnited Kingdom

Amir Farokh Payam is a Senior Lecturer in Electronics and Software at the School of Engineering, Ulster University, UK since 2019. He holds a PhD in Electronics Engineering-Nanotechnology and has previously worked at Instituto de Ciencia de Materiales de Madrid (2012–2015), Durham University (2016–2018), and University of Bristol (2018–2019). Education: B.Sc. and M.Sc. in Electrical and Electronics Engineering, PhD in Electronics Engineering-Nanotechnology His research focuses on dynamic Atomic Force Microscopy (AFM) , NEMS/MEMS , Surface Science , and Applied Nonlinear Control . Recent work explores nonlinear harmonics in AFM, solid-liquid interfacial dynamics, and single-cell biomechanical profiling. He leads projects on quantum sensor fabrication and cancer cell viscoelasticity analysis. Key trends in his 15 most recent publications (2025–2023) include advancements in nanoscale imaging , multifrequency AFM , viscoelastic material analysis , and biomedical applications such as viral protein sensing and corneal cell profiling. Collaborative projects span institutions in Ireland, Spain, and the UK. Scientific Awards: Editor's Highlights in Journal of Applied Physics (2018) and Nanotechnology (2015) Best Innovative Idea, Second International R&D Award of Iran (2012) Distinct Graduate Student, University of Tehran Visiting Study Scholarship, Instituto de Microelectronica de Madrid (2010) M.Sc. First Class Student (top among 15) He serves as Unit Director for Mechatronics II and Electronics II modules and supervises BEng/MEng research projects. Active research grants include Royal Society funding (2024–2026) for cancer cell biomechanics and an ongoing 2022–2026 project on solid-liquid interface dynamics.

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Samuel WalshView profile

Associate Professor

University of Missouri , ColumbiaUnited States

Samuel Walsh is an Associate Professor in the Mathematics Department at the University of Missouri, within the College of Arts and Science. His research focuses on nonlinear partial differential equations, particularly those arising in fluid dynamics and water wave theory. He is actively involved in the academic community, organizing the Differential Equations Seminar and advising both graduate and undergraduate students. PhD in Applied Mathematics, Brown University, 2010 BS in Mathematical Sciences, Carnegie Mellon University Former Courant Instructor, New York University His primary research interests lie in nonlinear PDEs , especially water waves , steady waves , and dispersive systems . He investigates existence, stability, and qualitative properties of solutions in fluid mechanics, including solitary waves, internal waves, and vorticity-driven flows. His work often involves rigorous analysis of free boundary problems and global bifurcation theory. Analysis of his recent publications reveals a strong focus on solitary and traveling water waves , particularly with vorticity, stratification, and interfacial effects. His work bridges rigorous mathematical analysis with physical fluid dynamics, emphasizing existence, stability, and asymptotic behavior. A recurring theme is the use of bifurcation theory and nonlinear functional analysis to construct and classify solutions to hydrodynamic PDEs. Walsh has received research support from the National Science Foundation (grants DMS-1514950, DMS-1812436, DMS-2306243) and the Simons Foundation (Award 960210). These grants support his ongoing work in nonlinear wave phenomena and fluid dynamics. National Science Foundation: DMS-1514950, DMS-1812436, DMS-2306243 Simons Foundation: Award 960210 He has advised numerous graduate students, including PhD candidates and MS students, many of whom have completed their degrees on topics related to water waves and PDE analysis. He also serves as the Math Competition Advisor at MU, mentoring undergraduates for the Putnam exam. Additionally, he mentored students in the 2012 Summer Undergraduate Research Experience (S.U.R.E.) at Courant. Samuel Walsh organizes the Differential Equations Seminar at the University of Missouri, fostering academic exchange and collaboration in the field of PDEs and applied analysis.

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Gregory LawrenceView profile

Professor

University of British ColumbiaCanada

Gregory Lawrence is a Professor in the Department of Civil Engineering at the University of British Columbia (UBC), Faculty of Applied Science. Since 1987, he has held a Tier I Canada Research Chair in Environmental Fluid Mechanics and focuses on the fluid dynamics of inland and coastal waters, particularly their impact on water quality, chemistry, and biology. His work addresses waste discharge minimization, lake restoration, and water system rehabilitation. He also instructs in UBC’s Master of Engineering Leadership in Integrated Water Management program. Research Interests : Environmental Fluid Mechanics, Hydraulics, Hydrodynamic Stability and Mixing, Physical Limnology, and Water Quality Management. His studies bridge fluid dynamics with environmental stewardship, emphasizing hydrodynamic processes in lakes, reservoirs, and mine pit lakes. Selected Publications highlight his expertise in stratified flows, Kelvin-Helmholtz instabilities, baroclinic responses, and artificial circulation techniques. These works span journals like Limnology and Oceanography , Physical Review Fluids , and Environmental Fluid Mechanics . Scientific Awards : 2018-2020: 2nd Year Student Appreciation Award (UBC Civil Engineering Club) 2016: Visiting Research Fellow (University of Western Australia) 2013: Elected Fellow (Canadian Society for Civil Engineering) 2012: Elected Fellow (Canadian Academy of Engineering) 2011: Camille Dagenais Award (Canadian Society for Civil Engineering) 2010: Premier’s Award – Partnership Category (British Columbia) 2001: Tier I Canada Research Chair in Environmental Fluid Mechanics 2001: Journal of Environmental Engineering Editor’s Award (ASCE) Teaching : Courses include CIVL 215 Fluid Mechanics I , CIVL 541 Environmental Fluid Mechanics , and CIVL 598L Contemporary Topics in Physical Limnology . He has been recognized for teaching excellence multiple times, including the 2018-2020 Student Appreciation Award.

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Joseph KatzView profile

Professor

Johns Hopkins UniversityUnited States

Joseph Katz is the William F. Ward Distinguished Professor of Mechanical Engineering at Johns Hopkins University's Whiting School of Engineering and a member of the National Academy of Engineering. His research focuses on experimental fluid mechanics, multiphase flow, cavitation phenomena, and advanced optical diagnostics. He directs the Laboratory for Experimental Fluid Dynamics and co-founded the Johns Hopkins Center for Environmental and Applied Fluid Mechanics. Key research areas include: - Turbulent boundary layers and compliant wall interactions - Cavitation dynamics in turbomachinery - Environmental fluid dynamics (oil spills, oceanic flows) - Medical imaging applications of fluid mechanics - Turbomachinery flow control (axial compressors) His work has been funded by agencies including the Office of Naval Research, NSF, NASA, and DOE. Over 150+ journal papers, 220+ conference papers, and 7 patents reflect his prolific output. Notable awards include the ASME Fluids Engineering Award and fellowships from ASME and APS. Key Contributions: - Developed novel optical diagnostics techniques - Advanced understanding of tip clearance flows in compressors - Studied oil dispersion mechanisms in marine environments - Pioneered holographic PIV for 3D flow visualization

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Maxime LanoyView profile

Associate Professor

Le Mans UniversitéFrance

Maxime Lanoy serves as an Associate Professor at Le Mans University, France, conducting research at the Institute of Acoustics (LAUM), a joint research unit of Le Mans University and the CNRS. He is a member of the Materials team, which focuses on the acoustics and mechanics of porous materials, contributing to the university's strategic research in physical sciences and engineering. His primary research interests encompass the acoustics of heterogeneous media and multiple scattering phenomena, the design and characterization of acoustic and elastic metamaterials, and the dynamics of flexible structures such as soft strips and elastomers. He investigates wave propagation in unstable structures and complex media, with applications in sound control, imaging, and particle manipulation. This work sits at the intersection of acoustics, materials science, and mechanical engineering, aiming to develop innovative solutions for wave-based technologies. Analysis of Lanoy's recent publications (2018-2025) reveals a consistent emphasis on metamaterials, particularly those utilizing bubble arrays and soft polymers. His research trajectory shows progression from fundamental studies of wave propagation in structured media to applied work on devices for filtering, lensing, and absorption. Key themes include the control of elastic waves in soft materials, the exploitation of space-time interfaces, and the development of broadband acoustic absorbers. These contributions advance the field of wave physics and have potential applications in medical ultrasound, underwater acoustics, and precision manufacturing. No scientific awards, fellowships, or medals were mentioned in the provided text sources. The available information does not specify any graduate students advised by Dr. Lanoy or details of research grants he has secured. His academic role as Associate Professor implies teaching and mentoring responsibilities, but specific advising activities are not documented in the given materials. Lanoy is embedded in the Materials team at LAUM, which operates within a well-equipped laboratory environment featuring advanced facilities for acoustic and ultrasonic measurements, optical methods, and material fabrication. The LAUM institute fosters collaboration across several transversal axes, including metamaterials and nonlinear acoustics, providing a rich interdisciplinary context for his research on wave phenomena in complex media.

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Anjan BiswasView profile

Professor

Grambling State UniversityUnited States

Dr. Anjan Biswas is a Professor in the Department of Math & Physics at the College of Arts & Sciences. His research focuses on analytical and computational approaches to quantum optics and nonlinear wave propagation. Education: Ph.D. in Mathematics from the University of New Mexico. Metrics: Erdos Number 4, Hirsch Index 111. Research interests center on optical solitons in fibers with linear and nonlinear chromatic dispersion, Lie symmetry analysis for quiescent solitons, and stochastic modeling in photonic systems. His work explores fractional temporal evolution, polarization-mode dispersion, and Kudryashov’s power-law structures. Recent publications highlight advancements in cubic-quartic soliton modeling, dispersion triplet systems, and noise-resilient optical communication frameworks. Studies span Boussinesq-type models, magneto-optic waveguides, and metamaterial applications. Key methodologies include Adomian decomposition, Sardar sub-equation techniques, and Lie symmetry analysis. Applications range from quantum fluid dynamics to internet bottleneck suppression via exotic self-phase modulation structures.

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Yinghe QiView profile

Professor

ETH ZurichSwitzerland

Dr. Yinghe Qi is a Professor in the Department of Experimental Fluid Dynamics at ETH Zürich, Switzerland. His research focuses on multiphase flows, turbulence, and free-surface dynamics, with applications in aerospace, marine engineering, and computational fluid dynamics. He has contributed extensively to understanding bubble dynamics, flow instabilities, and turbulence modulation through experimental and phenomenological studies. Research Interests: Dr. Qi’s work addresses complex phenomena in multiphase flow instabilities free-surface turbulence deformable bubble dynamics supersonic jet interactions vortex-induced fragmentation machine learning in fluid dynamics Recent Publications: His recent studies (2023–2025) explore multiscale bubble deformation, free-surface turbulence structure, and supersonic jet-plume interactions. Key themes include turbulent fragmentation, vortex-bubble coupling, and novel computational methodologies. Laboratory Affiliations: He collaborates with the Coletti Group, Jenny Group, and Supponen Group at ETH Zürich, advancing experimental and computational techniques in fluid dynamics.

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Jacopo De SimoiView profile

Professor

University of TorontoCanada

Jacopo De Simoi is a Professor in the Department of Mathematics at the University of Toronto, holding appointments at both the St. George and Mississauga campuses. His research focuses on dynamical systems, particularly hyperbolic dynamics, billiards, and rigidity phenomena. He has held roles at institutions like Université Paris Diderot and the University of Maryland, College Park, and currently teaches courses such as Game Theory and Real Analysis. His work explores the interplay between deterministic systems and stochastic processes, with contributions to topics like Fermi acceleration and KAM theory. Education: Ph.D. in Mathematics from the University of Maryland (2009), Diploma di Licenza in Physics from Scuola Normale Superiore (2005), and M.Sc./B.Sc. in Physics from Università di Pisa. Research interests include stochastic properties of dynamical systems, conservative dynamics, and the ergodic theory of billiards. He has published extensively on spectral rigidity, entropy rigidity, and applications of renormalization group techniques. His recent work addresses inverse problems in billiard geometry and the statistical behavior of fast-slow systems. Teaching includes undergraduate and graduate courses in analysis, calculus, and dynamical systems. Collaborations span institutions globally, and he serves on editorial boards for journals like Communications in Mathematical Physics.

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Jayson PauloseView profile

Associate Professor

University of OregonUnited States

Jayson Paulose is an Associate Professor of Physics at the University of Oregon, affiliated with the College of Arts and Sciences and the Institute for Fundamental Science. His research spans theoretical soft matter physics, biophysics, evolutionary dynamics, and metamaterials design, focusing on the intersection of topology, geometry, and statistical mechanics in artificial and biological systems. Academic Roles: Faculty member in the Department of Physics, Director of the MSTC Program. Research Themes: Designer matter (topological and active metamaterials), biological systems (elasticity of thin shells, evolutionary genetics), and mechanical principles in soft structures. Collaborations: Partners with experimentalists and theorists in physics, materials science, and biology at UO and institutions like Leiden University. Lab: Paulose Group, which includes graduate and undergraduate researchers, explores problems such as topological protection in metamaterials and genetic propagation in populations. Research Interests include: Topological soft matter: Using symmetry and geometry to design materials with robust mechanical properties. Evolutionary dynamics: Modeling the impact of long-range dispersal on genetic diversity and population structure. Elastic mechanics: Analyzing thin shells and membranes relevant to biological systems. Active matter: Studying non-equilibrium systems like rotating dimer particles and synthetic metamaterials. Publications reflect his interdisciplinary focus, with recent work (2023–2024) on mechanical metamaterials, elastic shells, and stochastic population genetics, and earlier contributions to active spinner materials and topological protection in biological systems. Education & Training of students in his lab emphasizes theoretical rigor and computational techniques, with alumni transitioning to postdoctoral positions and industry roles in mechanical engineering, data science, and software development. Contact: jpaulose@uoregon.edu | Office: 375 Willamette Hall, University of Oregon.

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Jeremy QuastelView profile

Professor

University of TorontoCanada

Jeremy Quastel is a University Professor in the Department of Mathematics at the University of Toronto, within the Faculty of Arts and Science. He has been a prominent figure in the department since returning to Canada in 1998, serving as Chair of the Department of Mathematics from 2017 to 2021. Under his leadership, the mathematics department has become a world center for research in random interface growth and the KPZ universality class. His educational background includes: Undergraduate studies at McGill University PhD from the Courant Institute (NYU) in 1990 under S.R.S. Varadhan Professor Quastel is a specialist in probability theory, stochastic processes, and partial differential equations . His research focuses on the large scale behavior of interacting particle systems and stochastic partial differential equations, with particular emphasis on the Kardar-Parisi-Zhang (KPZ) universality class. He made groundbreaking contributions by discovering the first exact distributional solutions of the KPZ equation in 2010 and the KPZ fixed point in 2017 - the scaling invariant, integrable Markov process at the center of the KPZ universality class. His work bridges probability theory, mathematical physics, and statistical mechanics, with applications to interface growth models and directed polymers. Analysis of his recent publications reveals a consistent focus on KPZ-related phenomena, with increasing sophistication in understanding the KPZ fixed point and its properties. His work has evolved from discovering exact solutions to establishing convergence results and exploring connections to other integrable systems like the Toda lattice. The research spans theoretical developments in stochastic PDEs, connections to random matrix theory, and applications to physical growth models. His scientific achievements have been recognized with numerous prestigious awards: Sloan Fellow (1996-98) Invited session speaker at the International Congress of Mathematicians (2010) Current Developments in Mathematics lectures (2011) St. Flour lectures (2012) Plenary speaker at the International Congress of Mathematical Physics (2012) Fellow of the Royal Society of Canada (2016) Fellow of the Royal Society (2021) CRM-Fields-PIMS prize (2018) Jeffery-Williams Prize of the Canadian Mathematical Society (2019) Professor Quastel has supervised numerous PhD students who have gone on to successful careers in academia and industry, including Xuicai Ding at UC Davis, Hanna Jankowski at York University, and Konstantin Matetski at Columbia University. His research group has attracted many postdoctoral fellows who have become leading researchers in probability theory. While specific grant information isn't detailed in the provided text, his sustained research output and leadership position suggest significant grant funding supporting his work in probability theory and stochastic processes. Though not explicitly mentioned in the provided text, Professor Quastel's work has established the University of Toronto as a global hub for research on the KPZ universality class. His collaborations span institutions worldwide, and his research group likely includes graduate students, postdocs, and visiting scholars working on various aspects of stochastic processes, interface growth models, and integrable probability. His recent work on the KPZ fixed point represents the culmination of decades of research in this field.

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Herb WinfulView profile

Professor

University of Michigan-Ann ArborUnited States

Herb Winful is a Professor of Optics at the University of Michigan's College of Engineering, Department of Electrical and Computer Engineering. He specializes in nonlinear optics, laser physics, quantum tunneling , and photonics , with a focus on phenomena like superluminal group velocities, frequency comb generation, and light storage via stimulated Brillouin scattering. Research areas span quantum tunneling times , nonlinear photonic materials , and coherent beam combining in fiber laser arrays. His work includes frequency comb spectroscopy using quantum-well diode lasers, ultrafast erbium fiber lasers , and negative group delay engineering in birefringent waveguides. The article list reveals expertise in supercontinuum generation , evanescent wave dynamics , photonic crystals , and nonlinear pulse manipulation . Key subfields include stimulated Brillouin/Raman scattering , parabolic similaritons , and time-domain modeling of optical systems. Award-winning scientific contributions include resolving the Hartman effect paradox and optimizing fiber laser arrays for high-power applications. His research bridges theoretical insights with practical innovations in optical engineering and quantum optics .

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J. Stewart AitchisonView profile

Professor

University of TorontoCanada

J. Stewart Aitchison is a Professor at the University of Toronto's Department of Electrical & Computer Engineering, holding the Nortel Chair in Emerging Technology. He serves as Associate Scientific Director for the Network Centre of Excellence, IC-IMPACTS, fostering Canada-India research collaborations. Aitchison co-founded ChipCare Corporation, developing portable HIV monitoring systems, and previously directed the Emerging Communications Technology Institute. He received a BSc (1984) and PhD (1987) in Physics from Heriot-Watt University, UK, followed by a postdoctoral position at Bellcore. His research focuses on: Nonlinear optics and plasmonics for optical signal processing Micro/nano-scale photonic devices and integrated circuits Optical biosensors for healthcare applications (e.g., HIV monitoring) Algal biofilm photobioreactors for sustainable energy His 250+ publications emphasize semiconductor waveguides, quantum optics, and lab-on-chip systems, with recent work advancing polarization management, entanglement generation, and point-of-care diagnostics. Awards & Fellowships: Fellow of Royal Society of Canada, Royal Society of Edinburgh, AAAS, OSA, and Institute of Physics Professional Engineering Ontario Research Medal (2016) IEEE Photonics Society Distinguished Lecturer (2016-2017) University of Toronto Inventor of the Year (2012) NSERC Synergy Award (2006) He leads the Aitchison Group, supervising over 60 PhD/Master's students in photonics and microfabrication. His team collaborates globally and utilizes the Toronto Nanofabrication Centre. ChipCare, his spin-off, secured $7M+ funding for blood-testing platforms enhancing healthcare in remote communities.

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Gabriele LigaView profile

Assistant Professor

Eindhoven University of TechnologyNetherlands

Gabriele Liga is an Assistant Professor at the Department of Electrical Engineering, Eindhoven University of Technology (TU/e), affiliated with the Signal Processing Systems (SPS) Group. He holds a Marie Curie Eurotech Fellowship focusing on signal shaping techniques for nonlinear optical fiber channels. His academic journey includes a Ph.D. in optical communications from University College London, followed by postdoctoral research in digital signal processing and nonlinearity compensation. Education: B.Sc. in Telecommunications Engineering from Università degli Studi di Palermo (2005), M.Sc. in Telecommunications Engineering from Politecnico di Milano (2011), and a Ph.D. in Optical Communications from University College London (2017). Research Interests: Digital communications, information theory, fiber-optic systems, nonlinearity compensation, channel coding, and multi-user optical communication theory. His work emphasizes achieving transmission limits through signal shaping and advanced signal processing techniques. Projects: Active roles in NESTOR (Next-gen optical networks), QuNEST (quantum communication security), Fun-NOTCH (nonlinear optical channel fundamentals), and SSTOC (signal shaping tailored to optical channels). Collaborations span institutions globally, focusing on optical fiber communication challenges. Awards: 2023 ACP/POEM Best Student Paper Award and 2019 OECC Best Paper Award. Serves as a reviewer for IEEE journals and OSA publications. Labs/Teams: Core member of the SPS Group and involved in interdisciplinary projects blending theory and experimental validation.

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