جست‌وجوی استاد و پژوهشگر

Jianliang Qianمشاهده پروفایل

استاد

• Inverse Problems
• Scientific Computing
• Numerical Analysis
• +۷ مورد دیگر

Jianliang Qian is a Professor at the Department of Mathematics and Department of Computational Mathematics, Science and Engineering at Michigan State University , East Lansing, MI. He earned his Ph.D. from Rice University and has held academic appointments at MSU since 2005, including roles as Assistant, Associate, and Full Professor. Since 2015, he has served as Director of the Michigan Center for Industrial and Applied Mathematics . Research Interests: His work focuses on big-data analysis via inverse problems , fast algorithms for geophysical and medical imaging , microlocal analysis , numerical methods for PDEs , and optimal control . Key applications include high-frequency wave modeling, seismic inversion, and genome architecture reconstruction. Article Trends: Recent publications emphasize high-frequency wave propagation , level-set inversion techniques , machine learning integration into wave modeling, tensor methods for high-dimensional problems, and adaptive algorithms for Helmholtz and Hamilton-Jacobi equations. Leadership: As Director of the Michigan Center for Industrial and Applied Mathematics, he organizes seminars and workshops, including the Conference on Wave Challenges (2015) and MCIAM Seminars series.

Lyonell Boultonمشاهده پروفایل

استاد

• Spectral theory of linear operators
• Mathematical physics
• Functional analysis
• +۷ مورد دیگر

Lyonell Boulton is a Professor at the School of Mathematical and Computer Sciences, Heriot-Watt University, specializing in the spectral theory of linear operators and its applications to mathematical physics and functional analysis. His work bridges theoretical and applied mathematics, with recent contributions to eigenvalue approximation, non-self-adjoint operators, and pseudospectral theory. Research Interests: Spectral theory of self-adjoint and non-self-adjoint operators Applications to mathematical physics (e.g., supermembranes, Schrödinger's equation) Dispersive partial differential equations Numerical linear algebra and eigenvalue computations Recent Publications highlight trends in spectral analysis of Dirac operators, revival effects in dispersive PDEs, and fractal solutions to periodic equations, reflecting his interdisciplinary focus.

• Mathematical Analysis
• Partial Differential Equations
• Nonlinear Analysis
• +۳ مورد دیگر

Angela Sciammetta is a Researcher (MATH-03/A) at the Department of Mathematics and Computer Science , affiliated with the Polytechnic School of the University of Palermo . She teaches Mathematical Analysis and Mathematics modules for Mechanical Engineering and Architecture programs. Her research focuses on nonlinear partial differential equations , particularly those involving p-Laplacian operators , double-phase problems , and anisotropic nonlinearities . Key themes include existence and multiplicity of solutions under various boundary conditions (Dirichlet, Robin, Neumann), with applications to mathematical physics and continuum mechanics . Recent publications analyze anisotropic (p,q)-Laplacian problems with critical or superlinear nonlinearities, using variational methods and sub-supersolution techniques . She has shown interest in stress concentration phenomena in conductivity problems and fractional differential equations . Contact: angela.sciammetta@unipa.it | Office hours: Friday 9:00–10:00 AM via Microsoft Teams

• Differential Geometry
• Geometric Analysis
• Partial Differential Equations
• +۲ مورد دیگر

Luciano Mari is an active mathematics researcher affiliated with the Class of Sciences, specializing in differential geometry and geometric analysis. His research encompasses both theoretical and applied aspects of mathematics with significant contributions to the field. Research interests focus on: Analysis of minimal submanifolds and their spectral properties Nonlinear partial differential equations with geometric applications Conformal geometry and Möbius transformations Spectral theory on Riemannian manifolds Extensions of classical geometric theorems Publication analysis reveals consistent work in geometric analysis since 2009, with recent focus on nonlinear equations, spectral estimates for submanifolds, and applications of maximum principles in Riemannian settings. The research shows progressive development from foundational geometric theory toward applications in PDEs and spectral analysis. Collaborative work spans multiple countries including Brazil, United States, and various European institutions. While specific awards aren't mentioned, the publication record in prestigious mathematics journals indicates significant recognition in the field. Current research directions appear to include nonlinear problems in conformal geometry, spectral properties of immersed submanifolds, and generalizations of classical geometric theorems to non-Euclidean settings.

Charles Louis Feffermanمشاهده پروفایل

استاد

• Mathematical Analysis
• Harmonic Analysis
• Partial Differential Equations
• +۷ مورد دیگر

Charles Louis Fefferman is the Herbert E. Jones, Jr. '43 University Professor of Mathematics at Princeton University, where he has held a faculty position since 1977. Previously, he served as a full professor at the University of Chicago from 1971 to 1977, becoming the youngest full professor in U.S. history at age 22. His academic journey began at the University of Maryland, College Park, where he earned his undergraduate degree at 17 before completing his PhD at Princeton under Elias Stein at age 20. Fefferman's research spans mathematical analysis with particular emphasis on harmonic analysis, partial differential equations, and complex analysis. His groundbreaking work on singular integrals, Hardy spaces, and the Bergman kernel revolutionized these fields, leading to his Fields Medal in 1978. More recently, he has made significant contributions to Whitney extension problems, fluid dynamics singularity formation, and mathematical aspects of topological materials. His publication record shows remarkable consistency over five decades, with recent work (2019-2023) focusing on manifold learning, smooth function interpolation, and quantum systems. These publications demonstrate both theoretical depth and increasing connections to data science applications, maintaining his position at the forefront of mathematical research. Fefferman's scientific honors form an exceptional constellation of recognition: Fields Medal (1978) Alan T. Waterman Award (1976, inaugural recipient) Salem Prize (1971) Bergman Prize (1992) Bôcher Memorial Prize (2008) Wolf Prize in Mathematics (2017) BBVA Foundation Frontiers of Knowledge Award (2021) As an advisor, Fefferman has mentored numerous doctoral students who have become leaders in their fields, including Matei Machedon, Luis Seco, and Michael Christ. His research group continues to explore fundamental questions in analysis while developing mathematical frameworks for emerging applications in data science and quantum physics. Fefferman remains actively engaged in research, with publications through 2023 demonstrating his continued intellectual vitality and mathematical creativity.