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Xinqiang YanView profile

Academic

• MRI Technology
• MR-guided Focused Ultrasound (MRgFUS)
• Biomedical Engineering
• +3 more

Xinqiang Yan is a Research Associate Professor of Radiology & Radiological Sciences and a Research Assistant Professor of Electrical Engineering and Computer Science at Vanderbilt University's School of Engineering. He leads the Electric and Radiofrequency Lab at the Vanderbilt University Institute of Imaging Science (VUIIS), focusing on novel hardware and algorithmic advancements for MRI and MR-guided focused ultrasound (MRgFUS). His lab has secured eight NIH grants and holds multiple patents, including the self-decoupled coil (Nature Communications, worldwide patent), passive reflectional antennas, and RF-transparent B0 shimming coils. Dr. Yan earned his B.S. in Nuclear Physics from Lanzhou University (2009) and Ph.D. in Particle Physics from the Chinese Academy of Sciences (2014). After postdoctoral training at Vanderbilt, he joined the university’s research faculty in 2016. His research emphasizes improving MRI performance through innovations in RF coils, parallel transmission, and artifact reduction. He actively recruits students and postdocs for projects in MRI hardware development, software algorithms, and clinical translation. Key achievements include Magna Cum Laude Awards (ISMRM 2017) for self-decoupled coil and RAPS circuit innovations, and Best Poster Awards (ISMRM 2021-2022). His work spans MRI hardware miniaturization, bioresorbable RF circuits, and artifact mitigation in transcranial MRgFUS. The lab also develops RF-transparent shimming coils and wireless resonator arrays for high-resolution imaging of joints and soft tissues. Current NIH-funded projects aim to translate these technologies into clinical practice.

Joshua McGinnisView profile

Research Fellow

• Applied Mathematics
• Computational Science
• Stochastic Processes
• +3 more

Joshua McGinnis is a Research Fellow in Applied Mathematics and Computational Science (AMCS) at the University of Pennsylvania's School of Arts and Sciences, Department of Mathematics. His research focuses on applied mathematics, computational science, stochastic processes, wave propagation, and discrete mathematics. He holds a postdoctoral position in the AMCS program, affiliated with the Mathematics Department. His recent work explores stochastic compartmental models in electrophysiology, wave dynamics in random lattice systems, and zero-knowledge proofs for graph-based problems. Notable contributions include rigorous approximations of lattice systems and analyses of wave behavior in nonlinear systems with random parameters. No scientific awards, advising roles, or grant information is listed in the provided materials. His current position emphasizes interdisciplinary research at the intersection of applied mathematics and computational theory.

Robert StrainView profile

Professor

• Nonlinear Partial Differential Equations
• Applied Mathematics
• Mathematical Physics
• +3 more

Robert Strain is a Professor of Mathematics at the University of Pennsylvania's Department of Mathematics. His research focuses on nonlinear partial differential equations, applied mathematics, and mathematical physics with particular emphasis on kinetic theory, free boundary fluid dynamics, and relativistic systems. He holds a prominent position in the analysis of complex fluid dynamics problems such as the Muskat problem, Peskin problem, and Vlasov-Maxwell systems. His work bridges theoretical analysis and applied sciences, addressing fundamental questions in fluid mechanics, plasma physics, and nonlinear PDE theory. Strain has contributed to global existence and stability results for equations like the Boltzmann equation, Landau equation, and relativistic models. His research often involves rigorous mathematical techniques for boundary value problems and free interface dynamics. Notable contributions include advancing understanding of Muskat bubble stability, relativistic plasma confinement, and nonlinear collisional kinetic theory. His publications span over 15 years, demonstrating sustained impact in both pure and applied mathematical analysis.

Jiawang NieView profile

Professor

• Polynomial Optimization
• Semidefinite Optimization
• Data Science Optimization
• +2 more

Jiawang Nie is a Professor of Mathematics at the University of California, San Diego, where he conducts research at the intersection of optimization, algebraic geometry, and computational mathematics. His work focuses on developing theoretical foundations and practical algorithms for solving complex polynomial optimization problems with applications across various scientific domains. His primary research interests include Polynomial and Semidefinite Optimization , Data Science Optimization , and Matrix and Tensor Computation . These areas form the backbone of his theoretical contributions to optimization theory, with particular emphasis on moment problems, sum of squares methods, and applications to tensor computations and machine learning. Nie's recent publications demonstrate a consistent focus on advancing the theory and applications of polynomial optimization. His work spans from fundamental theoretical developments in moment problems and semidefinite programming to practical applications in multi-view learning, tensor decomposition, and game theory. A notable trend is his increasing focus on connecting optimization theory with machine learning applications, particularly in handling high-dimensional data structures through tensor methods. Professor Nie is actively involved in the academic community through teaching and seminar organization. He teaches graduate courses including Math 271C (Nonlinear Nonconvex Optimization) and runs the UCSD Optimization and Data Science Seminar (Math 278C), which has been ongoing since at least Winter 2017 and continues into Spring 2025. He authored the book Moment and Polynomial Optimization (SIAM, 2023), which serves as a comprehensive resource in the field. His academic contributions extend beyond publications to educational resources, with numerous graduate-level courses taught at UCSD covering optimization theory and applications. His research demonstrates a sustained commitment to advancing both the theoretical foundations and practical applications of optimization methods in mathematics and computational science.

Gilles FrancfortView profile

Visiting Professor

• Solid Mechanics
• Calculus of Variations
• Mathematical Modeling
• +3 more

Gilles Francfort is a Visiting Professor of Mathematics at New York University’s Courant Institute of Mathematical Sciences and a former Professor of Mathematics at Université Sorbonne Paris Nord (previously Université Paris-Nord). He is a Senior Member of the Institut Universitaire de France (2011–2016). His research focuses on calculus of variations, solid mechanics, and mathematical modeling of fracture and damage processes. Education: Ph.D., Mechanical Engineering, Stanford University (1982) Habilitation à diriger des recherches, Université Paris 6 (1989) Ingénieur Civil des Ponts et Chaussées, École Nationale des Ponts et Chaussées (1978) Research Interests: Francfort’s work bridges applied mathematics and mechanics, with a focus on variational approaches to fracture mechanics, elasto-plasticity, homogenization theory, and damage evolution. His contributions include foundational studies on energy minimization models for brittle fracture and quasistatic evolution in inelastic materials. Publications: His recent work explores topics like phase-field models for fracture nucleation, elasto-dielectric composites, and healing processes in elastomers. His research trends emphasize multiscale modeling, variational methods, and computational mechanics. Awards: Senior Member, Institut Universitaire de France (2011–2016) Advising & Grants: Advised notable students including Blaise Bourdin (McMaster University) and Jean-François Babadjian (Université Paris-Saclay). His grants and collaborations span mechanics of materials, mathematical analysis, and computational methods. Professional Activities: Editorial board member of Annales de l’Institut Henri Poincaré (C) Analyse Non Linéaire . Recent conference participation includes the GAMM Seminar on Microstructures (2024) and the Workshop on Differential Inclusions in Continuum Mechanics (2024).

• Partial Differential Equations (PDEs)
• Fluid Mechanics
• Gas Dynamics
• +4 more

Nader Masmoudi is a Professor of Mathematics at the Courant Institute of Mathematical Sciences, New York University. His primary affiliation is with the Department of Mathematics, where he specializes in the analysis of partial differential equations (PDEs) with applications to fluid mechanics, gas dynamics, and homogenization theory. He holds a Ph.D. in Mathematics from the University of Paris Dauphine (1999) and a B.S. from École Normale Supérieure (1996). His research focuses on fundamental questions in PDEs, including boundary layer analysis, free boundary problems, and nonlinear wave equations. Notable contributions include studies on the inviscid limit of Navier-Stokes equations, stability of Couette flows, and singularity formation in Keller-Segel models. He has also contributed to homogenization theory, particularly in nonsmooth domains and stochastic settings. Teaching responsibilities have included advanced courses such as Homogenization and Boundary Layers, Complex Variables, Differential Geometry, and Functional Analysis. His pedagogical work emphasizes rigorous mathematical techniques alongside applied problem-solving. Publications span over two decades, with recent works addressing blow-up dynamics in wave equations, boundary layer instabilities in supersonic flows, and rigorous derivations of vortex dynamics. Collaborations frequently involve international researchers in applied mathematics and fluid dynamics. Current research interests extend to machine learning applications, as seen in work on stochastic differential equation solvers for diffusion models.

• Partial Differential Equations
• Fluid Mechanics
• Signal Processing
• +4 more

Xinwei Yu is a Professor of Mathematical and Statistical Sciences at the University of Alberta, Canada. He serves as Director of the Applied Mathematics Institute (AMI). His research focuses on Partial Differential Equations, Fluid Mechanics, Signal Processing, and Wireless Communication. He holds a Ph.D. from Caltech (2005) and has held academic positions at UCLA and the University of Alberta since 2005. Education includes a B.S. and M.S. from Peking University (1993-2000) and a Ph.D. in Applied and Computational Mathematics from Caltech. He has been recognized with awards such as the Richard C. DiPrima Prize (SIAM, 2006) and the W. P. Carey Prize (Caltech, 2005). Research interests emphasize Navier-Stokes equations, turbulence, and mathematical epidemiology. Recent work includes studies on massive MIMO systems, regularity criteria for PDEs, and reduced-order models for industrial processes. He coordinates the PIMS-AMI seminar series and has mentored numerous graduate students and postdocs. Publications span over 80 peer-reviewed articles in journals like Journal of Fluid Mechanics , Nonlinearity , and IEEE Transactions on Communications . Teaching includes courses on PDEs, analysis, and mathematical methods at both undergraduate and graduate levels.

Chloé ArsonView profile

Professor

• Rock Mechanics
• Damage and Healing Modeling
• Computational Geomechanics
• +3 more

Dr. Chloé Arson is Professor in Civil and Environmental Engineering at Georgia Tech, specializing in geomechanics, damage modeling, and bio-inspired engineering. Her lab develops computational tools for underground storage, fracture propagation, and subsurface exploration. Current projects include NSF-funded research on thermo-hydro-chemo-mechanical processes in rocks and bio-inspired burrowing robots. She chairs the ASCE Poromechanics Committee and develops AI-enhanced models for geological systems. Honors include NSF CAREER and BRITE awards. Dr. Arson teaches mechanics courses and created innovative programs for international research internships and diversity initiatives.

Romain CorcolleView profile

Assistant Professor

• Material modelling
• Constitutive laws
• Ferroic materials
• +6 more

Romain Corcolle is a Global Network Assistant Professor of Engineering at NYU Shanghai and an Assistant Professor at NYU. He holds a PhD in Physics from Paris-Sud University (Paris 11 - Paris Saclay), France (2009). Prior to NYU Shanghai, he served as an Associate Professor at Paris-Sud University from 2010, affiliated with the GeePs research group (Group of Electrical Engineering – Paris Saclay). His research focuses on electromagnetic materials, particularly ferroelectric and ferromagnetic materials, emphasizing the development of advanced constitutive laws and multi-scale modeling tools using analytical and numerical methods. Education PhD in Physics, Paris-Sud University (Paris 11 - Paris Saclay), France, 2009 Research His work integrates material modeling, multi-physics phenomena, and homogenization techniques to advance understanding of ferroic materials. He develops multi-scale computational frameworks to bridge macroscopic and microscopic material behaviors, contributing to applications in electrical engineering and materials science. Awards & Grants No awards or grants explicitly listed in the text. Labs & Collaborations Associated with the GeePs research group at Paris-Sud University for prior work.

Julia HartmannView profile

Professor

• Differential Galois Theory
• Algebraic Geometry
• Field Theory
• +3 more

Julia Hartmann is the Fay R. and Eugene L. Langberg Professor in Mathematics at the University of Pennsylvania's Department of Mathematics. Her research focuses on differential Galois theory, algebraic geometry, and arithmetic geometry with applications to field invariants and local-global principles. She has held this position since joining the university, actively contributing to the field through numerous co-authored publications and collaborative research projects. Her work bridges abstract algebraic structures with concrete problems in differential equations and number theory. Notable contributions include studies on differential embedding problems, cohomology classes over semiglobal fields, and the application of patching techniques to quadratic forms and central simple algebras. She regularly teaches advanced courses like Math3140 (Advanced Linear Algebra). Hartmann's research emphasizes connections between differential algebra and arithmetic geometry, often addressing questions about Galois groups, torsors, and obstructions in arithmetic curves. Her publications frequently appear in top journals such as the Israel Journal of Mathematics , Michigan Math. J. , and Advances in Mathematics . She also contributes to educational initiatives, including advising early-career mathematicians on publication strategies and pipeline development in mathematics.

• Partial Differential Equations
• Inverse Problems
• Control Theory
• +2 more

Matthias Eller is a Professor in the Department of Mathematics and Statistics at Georgetown University. His research focuses on Partial Differential Equations, Inverse Problems, and Control Theory. Publications span spectral optimization for Maxwell systems, wave propagation in viscoelastic media, thermoacoustic tomography, and controllability problems. Research emphasizes rigorous analysis of boundary conditions, stability properties, and solution techniques for complex physical models. Education: Ph.D., Wichita State University

• Numerical Analysis
• Multiscale Finite Element Method
• Flow in Porous Media
• +4 more

Yalchin Efendiev is a Professor and Ewing-Mobil Chair in Computational Science at Texas A&M University, leading the Institute for Scientific Computation (ISC). He holds a Ph.D. in Applied Mathematics from Caltech (1999) and a B.S. from Moscow State University (1993). His research focuses on numerical analysis, multiscale methods, and flow in porous media, with applications to reservoir simulation and geoscience. Education: Ph.D., Applied Mathematics, California Institute of Technology, 1999 B.S., Moscow State University, 1993 Research Interests: Dr. Efendiev develops advanced numerical methods for multiscale problems, including the generalized multiscale finite element method (GMsFEM), constraint energy minimizing techniques, and machine learning-driven approaches. His work addresses challenges in porous media flow, wave propagation, and heterogeneous material modeling. He also explores data-driven model reduction and uncertainty quantification. Awards: 2025 Frontiers of Science Award 2020 SIAM Fellow Fellow of AMS (2017) Fraunhofer Bessel Award (2010) Advising & Grants: He has advised over 30 Ph.D. students and postdocs, many now leading academics and industry researchers. His grants include leadership of the Numerical Porous Media SRI Center (NumPor) and roles in international collaborations. He serves on editorial boards for Journal of Computational Physics , SIAM Multiscale Modeling and Simulation , and others. Labs/Teams: He directs the Institute for Scientific Computation (ISC) and co-leads the NumPor Center at KAUST, focusing on porous media and multiscale computational methods.

• Multiscale materials modeling
• Computational homogenization of materials
• Crystal plasticity
• +4 more

Aitor Cruzado Garcia is a Research Professor in the Department of Aerospace Engineering at Texas A&M University. His research focuses on multiscale materials modeling, computational homogenization, crystal plasticity, and fatigue/fracture mechanics. Education: Ph.D., Industrial Engineering, Mondragon University, Spain (2013) M.Sc., Mechanical & Material Behavior, Mondragon University, Spain (2010) B.Sc., Industrial Engineering, Mondragon University, Spain (2008) Research Interests: Advanced materials modeling for polycrystalline superalloys (e.g., Inconel 718) Fretting wear mechanisms in thin steel wires Micromechanical simulation of deformation and fracture processes Development of crystal plasticity models for high-temperature applications Publications highlight computational methods for materials analysis, with recent work exploring dislocation dynamics and FFT-based homogenization techniques. His 2024 studies on size-dependent plasticity and void distribution effects demonstrate ongoing innovation in materials simulation. Notable awards include the International Doctor Distinction (2013) and an Erasmus Fellowship (2007). His work bridges computational mechanics and experimental validation, particularly in fatigue life prediction and superalloy behavior modeling.

Brodie LawsonView profile

Research Fellow

• Computational Biology
• Cardiac Modeling
• Medical Image Analysis
• +2 more

Research Fellow at QUT Centre for Data Science and ARC Centre of Excellence, specializing in computational models of cardiac systems. Develops methods to analyze parameter sensitivity and variability in biological systems using statistical approaches. Education: PhD from QUT; BSc (Mathematics/Physics) from QUT. Research: Creates physiologically realistic models of cardiac fibrosis and arrhythmia patterns. Recent work includes digital twin development for cardiac repolarization and Perlin noise applications in tissue modeling. Collaborates with international teams on virtual drug testing platforms. Projects: Funded by ARC Centre for Mathematical and Statistical Frontiers. Publications in Medical Image Analysis and Scientific Reports demonstrate cross-disciplinary approaches to cardiac computational modeling.

Bryn DaviesView profile

Assistant Professor

• Partial Differential Equations
• Metamaterials
• Spectral Theory
• +3 more

Dr. Bryn Davies is an Assistant Professor in the Mathematics Institute at the University of Warwick. His research focuses on mathematical physics, particularly wave phenomena in complex media including metamaterials and resonator systems. Current investigations explore spectral properties of quasiperiodic structures and topological wave localization. Research Interests: Bryn specializes in asymptotic analysis of partial differential equations with applications to wave propagation in metamaterials. His work bridges theoretical mathematics with practical applications in photonics and acoustic materials, examining phenomena like subwavelength resonance and topological protection in engineered structures. Publications: His recent papers demonstrate consistent focus on spectral theory applications in materials science, including density of states estimation in aperiodic systems, topological mode analysis, and convergence properties of numerical methods. Theoretical frameworks integrate operator theory with wave physics across multiple scales. Research Activities: Leads investigations into non-Hermitian systems and defect-induced localization transitions. Current projects include developing multi-scale models for metamaterial design and analyzing waveguide behavior in damped topological systems.