Ali Feizmohammadi is an Assistant Professor, Teaching Stream (LTA) in the Department of Mathematics at the University of Toronto Mississauga, affiliated with the Mathematical and Computational Sciences division. His research focuses on inverse problems, partial differential equations, and geometric analysis. He holds a position emphasizing teaching excellence within the university's framework. His work addresses advanced mathematical challenges such as coefficient identification in subdiffusion equations, fractional Laplacian problems on Riemannian manifolds, and nonlinear elliptic equations on manifolds. Recent articles highlight contributions to the Calderón problem in various contexts, wave equation control, and spacetime finite element methods. No scientific awards or grants are explicitly listed in the provided information. He has not yet listed advisees in the available data. His research trends emphasize rigorous mathematical analysis of inverse problems in both classical and fractional PDE frameworks, with applications to geometric and control-theoretic questions. Dr. Feizmohammadi's work spans theoretical advancements in inverse problems, numerical methods for control systems, and the interplay between differential geometry and PDEs. His contributions address both fundamental theory and applied methodologies in mathematical physics and engineering.
Allan Greenleaf is Professor of Mathematics and Co-director of Graduate Studies at the University of Rochester's Department of Mathematics, School of Arts & Sciences. He received his AB/SM from the University of Chicago (1977) and PhD from Princeton University (1981), followed by an NSF Postdoctoral Fellowship at MIT. His research specializes in harmonic analysis and microlocal analysis applied to integral geometry and inverse problems. Recent work focuses on degenerate Fourier integral operators, X-ray transforms underlying CAT scanning, and transformation optics for invisibility/cloaking. Publications demonstrate consistent exploration of configuration sets, microlocal techniques in tomography/seismology, and quantum integrable systems. Awards: Sloan Research Fellowship (1990-91)
James Bremer is a Professor in the Department of Mathematics and holds a cross-appointment in the Department of Computer and Mathematical Sciences at the University of Toronto's Scarborough campus. His research focuses on developing efficient numerical algorithms for solving elliptic boundary value problems, integral equations, and special function transforms.
Massachusetts Institute of TechnologyUnited States
David Jerison is a Professor of Mathematics at the Massachusetts Institute of Technology (MIT), where he conducts research in Fourier analysis and partial differential equations. His work focuses primarily on free boundary problems and, more recently, on internal Diffusion Limited Aggregation (internal DLA), a stochastic growth model. He maintains an active research program with numerous publications in leading mathematical journals. Professor Jerison's research spans several interconnected areas of mathematical analysis. His primary interests include Fourier analysis and partial differential equations, with particular emphasis on free boundary problems. In recent years, he has expanded his research to include internal Diffusion Limited Aggregation, a stochastic growth model that has connections to probability theory and mathematical physics. His work often bridges geometric analysis, spectral theory, and probabilistic methods, demonstrating the deep connections between different branches of mathematics. Analysis of Professor Jerison's recent publications reveals a consistent focus on geometric aspects of partial differential equations, particularly free boundary problems. His research shows progression from classical PDE theory toward more stochastic and probabilistic approaches, as evidenced by his work on internal DLA. The publications demonstrate interdisciplinary connections between mathematical analysis, probability theory, and mathematical physics, with applications ranging from geometric measure theory to quantum mechanics. Professor Jerison is actively involved in teaching and mentoring at MIT. He has taught courses including Differential Equations (18.03), Fourier Analysis and Applications (18.103), and Differential Analysis (18.155). He also directs the Summer Program for Undergraduate Research (SPUR), which is exclusively for MIT undergraduates, and organizes the mathematics section of the Research Science Institute (RSI) for high school students. His teaching materials are available through MIT's Open Courseware platform, indicating his commitment to educational outreach and accessibility.
Svitlana Mayboroda is a Professor of Mathematics at ETH Zurich and the McKnight Presidential Professor at the University of Minnesota. Her research focuses on partial differential equations, harmonic analysis, and wave localization phenomena. University of Minnesota: School of Mathematics, 127 Vincent Hall, Minneapolis, MN ETH Zurich: Department of Mathematics, Ramistrasse 101, Zurich Research Interests: Analysis and partial differential equations Wave localization and Anderson localization Elliptic theory on non-smooth and lower-dimensional domains Harmonic measure and geometric measure theory Applications to quantum mechanics and semiconductor physics Recent Publications: Her 2023-2022 works investigate Anderson mobility edges, landscape functions in spectral theory, regularity problems for elliptic operators, and Green function estimates. Key themes include localization landscape theory, uniformly rectifiable domains, and spectral analysis of disordered systems. Grants & Collaborations: Simons Collaboration on Localization of Waves (Director, 2018–2025, $14M) NSF RAISE–TAQS grant ($1M) Academic Leadership: She has organized numerous conferences and workshops, including annual meetings of the Simons Collaboration on Wave Localization (2020–2024) and programs at MSRI and PCMI. Her mentorship includes postdocs and PhD students working on elliptic theory, spectral problems, and applied mathematical physics.
John Lott is a Professor in the Department of Mathematics at the University of California, Berkeley, specializing in Differential Geometry , Geometric Analysis , and Optimal Transport since his appointment in 2008. His research explores the interplay between Ricci curvature , metric-measure spaces , and geometric flows , with notable contributions to Ricci flow and noncommutative geometry . He has supervised multiple PhD students including Thunwa Theerakarn and Patrick Wilson , and maintains an active publication record with over 40 research papers. Selected Research Areas : Differential Geometry, Geometric Analysis, Optimal Transport, Mathematical Physics, Noncommutative Geometry Recent Publications (2020-2025) focus on Kähler manifolds , collapsing geometry , and quasilocal mass in general relativity. His work on Ricci curvature via optimal transport with Cédric Villani has become foundational in the field. Academic Affiliation : Position: Professor Institution: University of California, Berkeley Department: Mathematics
Lakshmi N Sankar serves as Regents Professor and Sikorsky Professor in the Guggenheim School of Aerospace Engineering at Georgia Institute of Technology, where he directs the Computational Fluid Dynamics Laboratory and teaches aerodynamics, helicopter theory, and wind energy courses. His research program spans unsteady viscous flow modeling for aircraft, helicopters, and wind turbines since joining the faculty in 1982 after industry experience at Lockheed Martin. Education: Ph.D., Aerospace Engineering, Georgia Institute of Technology, 1977 MSAE, Aerospace Engineering, Georgia Institute of Technology, 1975 B. Tech., Aeronautical Engineering, Indian Institute of Technology, Madras, India, 1973 Research Focus: Professor Sankar's work centers on Computational Fluid Dynamics for rotorcraft aerodynamics and wind energy systems , with significant contributions to icing phenomena and unsteady flow modeling . His recent publications reveal intensifying focus on adverse weather effects (rain/icing), eVTOL conversion challenges, and high-fidelity hybrid modeling techniques for rotorcraft performance prediction. Publication Trends: Analysis of his 2022-2025 publications shows dominant themes in rotorcraft icing (35%), weather impact studies (25%), and advanced CFD methodologies (20%), with growing interest in drone applications and mathematical aspects of fluid dynamics. His work consistently bridges theoretical mathematics with practical aerospace engineering challenges. Scientific Recognition: AIAA Fellow and AHS Technical Fellow NASA Group Achievement Award (2007) and Space Act Software Release Award (2003) Multiple Sigma Gamma Tau Teaching Awards (2005-2015) Dean George C. Griffin Faculty of the Year (2014-2015) Sikorsky Professorship (2018-Present) Mentorship and Collaboration: As recipient of Georgia Tech's Graduate Research Assistant Development Award, he has cultivated extensive student mentorship. His research integrates with the Vertical Lift Research Center of Excellence and Center for 21st Century Universities, securing major industry and NASA funding for rotorcraft innovation. Current projects include physics-based modeling of ice accretion and eVTOL retrofit feasibility studies. Research Infrastructure: The Computational Fluid Dynamics Laboratory serves as his primary research hub, complemented by collaborations through the Vertical Lift Research Center of Excellence where his team develops next-generation modeling tools for military and civilian rotorcraft applications under federal funding programs.
Minah Oh is a Professor and Chair of the Department of Mathematics & Statistics at James Madison University (JMU), where she has served since 2010. Her research focuses on numerical analysis, scientific computing, finite element methods, and optimal control, with a particular emphasis on axisymmetric problems and multigrid techniques. She holds a Ph.D. in Mathematics/Numerical Analysis from the University of Florida (2010) and degrees from Yonsei University (B.S., 2005). Her work bridges theoretical mathematics and computational applications, addressing challenges in PDE discretization, optimal control problems, and geometric numerical methods. Recent publications explore finite element approaches for state-constrained control problems and the analysis of axisymmetric domains using de Rham complexes and Fourier-based methods. No scientific awards are explicitly listed in the provided materials. Her advising and grants sections remain unspecified in the text. Dr. Oh maintains an academic website at educ.jmu.edu/~ohmx for further details.
Bernardo Cockburn is a Distinguished McKnight University Professor in the School of Mathematics at the University of Minnesota. He has been a faculty member since 1987, progressing from Assistant Professor to Associate Professor in 1992, and achieving full Professor status in 1997. He also held positions as an Affiliate Professor at the University of Delaware (2019-2020) and Chair Professor of Mathematics at King Fahd University of Petroleum and Minerals in Saudi Arabia (2012-2014). Education: Ph.D. from University of Chicago (1986), Doctorat de 3eme Cycle from University of Paris VI/INRIA (1983), Masters and Licenciatura from Universidad Nacional de Ingenieria in Lima, Peru Research Focus: Numerical methods for partial differential equations, particularly discontinuous Galerkin methods Cockburn's research primarily centers on the devising and analysis of efficient methods for numerically solving linear and nonlinear partial differential equations . His most significant contribution has been in the development and analysis of discontinuous Galerkin methods , particularly the hybridizable discontinuous Galerkin (HDG) methods which he pioneered. His work spans error estimation for hyperbolic problems, continuous dependence for Hamilton-Jacobi equations, and numerous applications across fluid dynamics, structural mechanics, and electromagnetics. He has developed theoretical frameworks for superconvergence properties and created practical algorithms for a wide range of engineering applications. Analysis of his recent publications reveals a strong focus on hybridizable discontinuous Galerkin methods , with significant contributions to superconvergence theory, error estimation, and applications to diverse physical problems including Stokes flow, linear elasticity, Timoshenko beams, and convection-diffusion problems. His work demonstrates a clear trajectory from theoretical foundations to practical implementation, with increasing emphasis on curved domains, adaptive methods, and coupling techniques between different numerical approaches. Doctor Honoris Causa from Universidad Nacional de Ingenieria, Lima, Peru (2013) Invited Speaker at the International Congress of Mathematicians, Numerical Analysis Section (2010) Distinguished McKnight University Professor, University of Minnesota (2007) Cockburn has supervised an impressive 23 PhD students throughout his career, many of whom have gone on to become professors at major universities worldwide including the University of Puerto Rico, Purdue University, and University of Concepcion in Chile. His advisees have produced significant research in discontinuous Galerkin methods, particularly in applications to structural mechanics, fluid dynamics, and Hamilton-Jacobi equations. His research has been supported by numerous grants from the National Science Foundation and other funding agencies, enabling extensive collaboration with researchers across the United States and internationally. Cockburn leads a vibrant research group focused on computational mathematics, with particular emphasis on developing and analyzing discontinuous Galerkin methods. His work has fostered significant collaboration between mathematicians and engineers, with applications spanning aerospace, civil engineering, and materials science. The research group maintains strong connections with institutions worldwide, including regular collaborations with researchers in Peru, Chile, and Europe, reflecting Cockburn's international background and influence.
Francesca Da Lio is a Professor at the Department of Mathematics, ETH Zurich, where she has held a titular professorship since 2014. Her research focuses on nonlinear elliptic and parabolic partial differential equations (PDEs), with applications in stochastic and deterministic optimal control, homogenization, front propagation, and geometric analysis. She has pioneered work on conformally invariant variational problems and nonlocal PDEs, including fractional harmonic maps and stability analysis for critical points. PhD in Mathematics (1998) and Summa Cum Laude Degree in Mathematics (1994) from University of Padova. Her research explores the interplay between nonlinearity and non-locality, particularly in problems arising from geometry, mathematical finance, and physics. She has led major Swiss National Fund (SNF) projects, including grants for geometric analysis and conformally invariant variational theory. Her work on 3-commutators, integrability by compensation, and Morse index stability has advanced the understanding of harmonic maps and elliptic systems. Francesca Da Lio has mentored numerous PhD, postdoctoral, and Master/Bachelor students, including Dominik Schlagenhauf, Jerome Wettstein, and Ali Hyder. She has served on hiring committees for full professorships at ETH Zurich and co-organized international conferences such as 'Recent Advances in Nonlocal and Nonlinear Analysis' and 'Topics in Sub-Elliptic PDEs.' Scientific Awards: Italian Scientific Qualification as Full Professor in Mathematical Analysis (2013). She contributes to editorial boards, including Advances in Calculus of Variations , and participates in academic services like refereeing for SNF projects and international journals.
Robin Neumayer is an Assistant Professor in the Department of Mathematical Sciences at Carnegie Mellon University. Her research focuses on the intersection of calculus of variations, partial differential equations (PDE), and geometric analysis, with a particular emphasis on stability and regularity in geometric inequalities. Education: Ph.D. in Mathematics, University of Texas at Austin, supervised by Alessio Figalli and Francesco Maggi. Her work explores problems related to Sobolev inequalities, isoperimetric problems, scalar curvature, and free boundary phenomena. Recent publications highlight collaborations with leading researchers and address topics such as quantitative stability, anisotropic geometries, and nonlinear PDE. Scientific Awards and Fellowships: NSF Grant DMS-2155054 (2022-2025) RTG Postdoctoral Fellow at Northwestern University (2017-18, 2019-21) Institute for Advanced Study member (2018-19) She teaches courses such as Introduction to Differential Equations and maintains active research collaborations with institutions like the Center for Nonlinear Analysis.
Shaun Lui is Professor and Head of Mathematics at the University of Manitoba's Faculty of Science. His research develops advanced numerical methods for partial differential equations with applications in fluid dynamics and electromagnetics. Education includes B.Sc./M.Sc. from University of Toronto and Ph.D. from Caltech. Research focuses on spectral collocation methods in space-time, domain decomposition, and finite volume schemes. Recent work establishes spectral accuracy for Stokes flows and matrix singularity bounds. Supervises graduate students in numerical PDE projects.
University of Illinois Urbana-ChampaignUnited States
Professor Alexander Tumanov is a faculty member in the Department of Mathematics at the University of Illinois at Urbana-Champaign, affiliated with the College of Liberal Arts & Sciences. He holds the rank of Professor and has been active in research and teaching since at least 2000. His current teaching includes Math 220 Calculus in Fall 2025. Education & Affiliations: His academic career is deeply rooted at the University of Illinois, with no indications of former roles or retirement status. Research Interests: Tumanov specializes in Several Complex Variables, Differential Geometry, and Partial Differential Equations. His work explores topics such as CR mappings, stationary discs, pseudoholomorphic curves, symplectic geometry, and nonlinear PDEs. Notable contributions include studies on automorphism groups of bounded domains, boundary value problems, and applications of Gromov's methods in symplectic topology. Publications: His recent work (2025–2013) focuses on advanced topics like non-linear Lie groups, q-convex manifolds analysis, outer billiards dynamics, and symplectic non-squeezing in infinite dimensions. Earlier contributions include boundary regularity for elliptic equations and minimal energy configurations on spheres. Awards & Grants: No specific awards are listed in the provided materials, though his extensive publication record reflects sustained scholarly impact. No grants or advising data are explicitly mentioned. Labs & Teams: Tumanov collaborates extensively with researchers like A. Sukhov, L. Baracco, and B. Coupet, as evidenced by co-authored papers. His work intersects pure mathematics with geometric analysis and mathematical physics.
Rafe Mazzeo is a Professor of Mathematics and the Cassius Lamb Professor in Natural Sciences at Stanford University. He is affiliated with the Department of Mathematics, specializing in geometric analysis, partial differential equations, and differential geometry. His research focuses on areas such as Hitchin moduli spaces, Ricci flow, minimal surfaces, and geometric inverse problems. His expertise includes microlocal analysis, geometric PDE, and the analysis of singularities in geometric structures. Notable contributions involve the study of conical metrics on Riemann surfaces, the compactification of Hitchin moduli spaces, and the analysis of Ricci flow on manifolds with bounded geometry. His work often bridges geometric analysis with applications in physics, such as geometric inverse problems related to astrophysical systems. Publications highlight advancements in nonlinear flows, scattering theory on wave-guides, and the topological properties of moduli spaces. His research spans theoretical developments in spectral geometry, operator theory, and the geometric analysis of singular spaces. Mazzeo's work has implications for understanding geometric structures in both pure and applied contexts, including contributions to mathematical physics and geometric topology.
Ali Maalaoui is a Professor of Mathematics at Clark University, specializing in geometric analysis and calculus of variations, with a focus on conformal and CR geometries. He holds a Ph.D. from Rutgers University (2013) and a prior Ph.D. from the University of Tunis (2010). Before Clark, he was an Associate Professor at the American University of Ras Al Khaimah in the UAE and a postdoctoral fellow at the University of Basel, Switzerland. His research explores critical geometric partial differential equations (PDEs) involving energy concentration and bubbling phenomena, particularly in contexts like Dirac-Einstein equations, fractional Yamabe problems, and CR manifolds. Key contributions include studies on Q’-curvature flows, singular solutions in geometric PDEs, and functional inequalities in non-Euclidean settings. Maalaoui’s work combines analytical techniques from functional analysis, geometric measure theory, and Morse-Floer homology. Recent trends in his publications focus on fractional operators, spin geometry, and applications of conformal invariance principles. His articles span high-impact journals such as Mathematische Nachrichten , Journal of Differential Equations , and Calculus of Variations and Partial Differential Equations . No scientific awards or grants are explicitly listed in the provided information. He has advised no listed students but has contributed to collaborative projects with institutions worldwide. His research often involves international co-authors, reflecting a global network in geometric analysis.
