جستجوی استاد راهنمای دانشگاهی

• Several Complex Variables
• Partial Differential Equations
• Complex Analysis
• +۴ مورد دیگر

Emil J. Straube is a Professor of Mathematics at Texas A&M University, where he has held the rank of Professor since 1996 and served as Department Head from 2011 to 2019. He earned his Ph.D. in Mathematics from the Swiss Federal Institute of Technology (ETH Zurich) in 1983 under Prof. K. Osterwalder. His research focuses on Several Complex Variables, with emphasis on the ∂-Neumann problem, Bergman kernel, and boundary regularity of solutions to Cauchy-Riemann equations. Education: Ph.D. in Mathematics, ETH Zurich, 1983 Diploma in Mathematics (dipl. math. ETH), ETH Zurich, 1977 Research Interests: His work bridges complex analysis, partial differential equations, and operator theory. Key topics include global regularity of the ∂-Neumann operator, compactness estimates, D’Angelo forms, and the Diederich-Fornaess index. He has contributed foundational results on Sobolev regularity and geometric conditions for subellipticity. Publications & Awards: With over 50 peer-reviewed articles, Straube has authored influential monographs such as Lectures on the L2-Sobolev Theory of the ∂-Neumann Problem . Notable accolades include the Stefan Bergman Prize (1995, jointly with H.P. Boas), AMS Fellow (2013), and Texas A&M’s Distinguished Achievement Award (1998). His work has been supported by NSF grants totaling over $3 million and international collaborations at institutions like the Erwin Schrödinger Institute (Vienna). Service & Leadership: Organized major conferences, including the 2015 Qatar Complex Analysis Conference Edited journals such as Journal of Mathematical Analysis and Applications and Complex Analysis and Its Synergies Guided 7 Ph.D. students and co-mentored numerous postdocs Current Activities: Active in teaching advanced graduate courses (e.g., Complex Variables I/II) and continues research in global regularity theory and CR geometry.

Ravi Vakilمشاهده پروفایل

استاد

• Algebraic Geometry
• Enumerative Geometry
• Moduli Spaces
• +۳ مورد دیگر

Ravi Vakil is the Robert Grimmett Professor of Mathematics at Stanford University and the President of the American Mathematical Society (AMS). He specializes in algebraic geometry, with contributions to enumerative geometry, moduli spaces, intersection theory, and Schubert calculus. His research interests also extend to mathematics education and public outreach. He earned his Ph.D. from Harvard University under Joe Harris. Vakil is renowned for his book The Rising Sea: Foundations of Algebraic Geometry , set for publication by Princeton University Press in 2025. He co-founded MathOverflow and Proof School, and serves on editorial boards of journals like Algebra and Number Theory and Involve . His awards include the AMS Centennial Fellowship, Coxeter-James Prize, Sloan Fellowship, and the Chauvenet Prize for mathematical exposition. He has advised numerous Ph.D. students and is known for his dedication to teaching, receiving the Dean’s Award for Distinguished Teaching. Vakil actively participates in academic service, including roles on the AMS Board and the National Math Stars advisory board. His research explores foundational questions in algebraic geometry, often with connections to combinatorics and representation theory.

Katya Krupchykمشاهده پروفایل

استاد

• Inverse Problems
• Partial Differential Equations
• Microlocal Analysis
• +۳ مورد دیگر

Katya Krupchyk is a Professor in the Department of Mathematics at the University of California, Irvine (UCI). Her research focuses on inverse problems, partial differential equations (PDEs), microlocal analysis, and spectral theory. She holds a position in the Analysis and Partial Differential Equations group at UCI. Her work often involves collaborations with leading institutions and researchers globally, addressing challenges in mathematical physics, geometric inverse problems, and nonlinear analysis. Dr. Krupchyk teaches advanced courses in real analysis, functional analysis, and partial differential equations. She has contributed to editorial boards for journals such as Journal of Spectral Theory , SIAM Journal on Mathematical Analysis , and Inverse Problems and Imaging . Her research spans theoretical and applied aspects of inverse problems, including studies on fractional operators, magnetic Schrödinger equations, and anisotropic media. Recent work emphasizes high-frequency analysis, nonlinear perturbations, and reconstruction algorithms for geometric inverse problems.

• Functional Analysis
• Generalized Functions
• Integral Transforms
• +۷ مورد دیگر

Stevan Pilipović is a Full Professor at the Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad. His research spans generalized functions, integral transforms, pseudodifferential operators, and fractional calculus. He holds a PhD in Mathematics from the University of Novi Sad (1979) and has led key academic roles, including editorships in journals like Integral Transforms and Special Functions and Pseudo-Differential Operators and Applications . Education: BSc in Mathematics, University of Novi Sad (1973) MSc in Mathematics, University of Belgrade (1977) PhD in Mathematics, University of Novi Sad (1979) Professional Activities: Leader of the Generalized Product and Integral Transformations seminar Editorial roles in multiple international journals Supervisor of numerous research projects in functional analysis and mathematical physics Research Interests: Pilipović’s work emphasizes microlocal analysis, fractional calculus in viscoelasticity, and stochastic PDEs. Key contributions include monographs on generalized functions and Fourier analysis, with over 400 publications. His research bridges pure mathematics (e.g., ultradistribution theory) and applications in mechanics and signal processing. Grants and Collaborations: Active in international collaborations, including projects on fractional Zener models and stochastic dynamics. His work frequently intersects with engineering and physics, addressing real-world problems in material science and wave propagation.

Eckhard Meinrenkenمشاهده پروفایل

استاد

• Symplectic Geometry
• Mathematical Physics
• Lie Theory
• +۱ مورد دیگر

Eckhard Meinrenken is a Professor in the Department of Mathematics at the University of Toronto , specializing in Symplectic Geometry , Mathematical Physics , Lie Theory , and Differential Geometry . His research spans geometric structures in infinite-dimensional settings, including Hamiltonian loop group spaces, Dirac geometry, and applications of equivariant cohomology. Fellow of the Royal Society of Canada (FRSC) Author of influential monographs such as Clifford Algebras and Lie Theory (Springer, 2013) and Manifolds, Vector Fields and Differential Forms (Springer, 2023) Research Trends: Recent work focuses on moduli spaces, singular weightings, Manin pairs, and Verlinde formulas, bridging symplectic geometry with algebraic and topological invariants. His publications emphasize geometric quantization, Poisson structures, and infinite-dimensional Lie theory. Scientific Awards: Fellow of the Royal Society of Canada (FRSC) Collaborations: Frequent collaborations with researchers like Anton Alekseev, Yiannis Loizides, and David Li-Bland on problems in symplectic topology, loop groups, and Dirac geometry.

• Partial Differential Equations
• Mathematical Physics
• Scattering Theory
• +۳ مورد دیگر

Dean Baskin is an Associate Professor in the Department of Mathematics at Texas A&M University, affiliated with the College of Arts & Sciences. His research focuses on partial differential equations, mathematical physics, and geometric analysis, with particular emphasis on scattering theory, wave propagation, and spectral analysis. He holds an office in Blocker 614B and can be reached at dbaskin@tamu.edu. His work integrates advanced analytical techniques with geometric insights to study phenomena such as radiation fields, singularities in wave equations, and resonance structures on non-Euclidean spaces. Key research interests include the mathematical theory of scattering resonances, asymptotic behavior of solutions to wave equations on various manifolds (e.g., asymptotically Minkowski spaces), and microlocal analysis. His articles explore topics such as diffraction effects in Dirac-Coulomb systems, quantum ergodicity on Riemann moduli spaces, and the propagation of singularities in hyperbolic PDEs. While no specific awards or grants are listed in the provided materials, his publication record reflects sustained contributions to theoretical aspects of mathematical physics and analysis. No advisees or laboratory affiliations are explicitly mentioned, though his work likely involves collaboration with international research networks in geometric analysis and PDEs.

Ivana Alexandrovaمشاهده پروفایل

دانشیار

• Scattering Theory
• Semiclassical Analysis
• Mathematical Physics
• +۱ مورد دیگر

Ivana Alexandrova is an Associate Professor in the Department of Mathematics and Statistics at the University at Albany, State University of New York. Her research explores analytical foundations of quantum phenomena through advanced mathematical frameworks. Primary research domains include: Mathematical analysis of quantum resonances in magnetic fields Semiclassical approximations for Schrödinger operators Microlocal techniques in scattering theory Aharonov-Bohm effect characterization Recent theoretical investigations focus on spectral properties of magnetic Hamiltonians using complex scaling methods and Fourier integral operator techniques. Her work connects rigorous mathematical analysis with quantum mechanical applications, particularly in systems with topological features. Honors include the Simons Foundation Collaboration Grant and SUNY research awards recognizing contributions to mathematical physics. Alexandrova maintains extensive international collaborations and has delivered invited lectures at institutions worldwide.

Po Lam Yungمشاهده پروفایل

دانشیار

• Harmonic Analysis
• Singular Integrals
• Sobolev Embeddings
• +۷ مورد دیگر

Po Lam Yung is an Associate Professor and ARC Future Fellow at the Mathematical Sciences Institute of The Australian National University. His research focuses on harmonic analysis, specifically singular integrals, Sobolev embeddings, time-frequency analysis, oscillatory integrals, and Fourier decoupling, with applications to partial differential equations, complex variables, and analytic number theory. He has contributed to sharpening Sobolev space embeddings and developing pseudodifferential calculi for complex variables/CR geometry. His work also explores Stein-Wainger oscillatory integrals and Fourier decoupling inequalities. His recent research includes studies on superorthogonality, discrete restriction estimates for parabolas, and polynomial Carleson operators. Notable collaborations involve projects like decoupling interpretations of Vinogradov's Mean Value Theorem. His ARC Future Fellowship supports work on decoupling inequalities and Bourgain-Brezis inequalities. Yung actively supervises research students in harmonic analysis and related fields. His academic profile includes over 35 publications and 311 citations, with an h-index of 11. Further details are available on his institutional webpage.

David E Lumleyمشاهده پروفایل

استاد

• Geophysics
• Seismology
• Imaging and Inversion
• +۷ مورد دیگر

Dr. David E. Lumley is the Cecil & Ida Green Endowed Chair in Geophysics and Professor of Earth Sciences & Physics at the University of Texas at Dallas (UTD), serving as Department Head since 2021. He holds a PhD from Stanford University (1995), MSc and BSc from the University of British Columbia (1989/1986). His research focuses on wavefield inversion methodologies for 4D time-lapse seismology, subsurface imaging, and applications to CO2 sequestration, induced seismicity, and planetary geodynamics. Lumley directs UTD's Seismic Imaging & Inversion Lab and previously led the Center for Energy Geoscience at University of Western Australia (2009-2017). Education: PhD in Geophysics, Stanford University (1995) MSc in Geophysics & Astronomy, UBC (1989) BSc (Hons) in Geophysics & Astronomy, UBC (1986) Research Interests: Pioneering 4D time-lapse seismology, seismic full-waveform inversion (FWI), ambient noise imaging, and applications to energy transition challenges. Current projects include monitoring Yellowstone's magmatic system, CO2 storage validation, and induced seismicity characterization. Combines HPC, AI, and geostatistical methods to solve inverse problems in exploration geophysics and environmental monitoring. Awards: SEG's J. Clarence Karcher Award (1996), 8 Best Paper Awards, Distinguished Lecturer for AAPG/SEG/SPE, and SEG Endowed Scholarships. Named SEG's first 'Pioneer of Geophysics' in 2005. Grants: Over $135M in competitive funding from NSF, DOE, DOD, and international agencies. Active in industry partnerships through ventures like 4th Wave Imaging (acquired by Fugro, 2007). Labs/Teams: Leads Seismic Imaging & Inversion Lab at UTD, collaborating with global networks in Australia, Europe, and industry consortia. Co-developer of seismic inversion software tools used in energy and environmental sectors.

• Generalized functions
• Integral transformations
• Pseudodifferential operators
• +۳ مورد دیگر

Stevan Pilipović is a Full Professor at the University of Novi Sad, Faculty of Sciences, Department of Mathematics and Informatics, since 1987. He holds a BSc (1973), MSc (1977), and PhD (1979) from Novi Sad and Belgrade Universities. His research focuses on generalized functions, integral transforms, pseudodifferential operators, and microlocal analysis. He has authored over 300 scientific papers and 10 monographs, served as editor for journals like Publications de l’Institut Mathématique , and led research projects, including the Center of Excellence for Applications of Mathematics. He is a Full Member of the Serbian Academy of Sciences and Arts (since 2009) and has mentored 30 doctoral students. His work spans functional analysis, fractional calculus, and stochastic processes, with contributions to conferences and international collaborations. Education: BSc (1973), MSc (1977), PhD (1979) in Mathematics. Positions: Full Professor (1987–present), Associate Professor (1985–1987), Assistant Professor (1980–1985). Research: Specializes in functional analysis, PDEs with singularities, fractional calculus applications in mechanics, and stochastic processes. Leadership: Organized international conferences, chaired the Serbian Scientific Mathematical Society, and coordinated EU-funded projects.

• Mathematical Analysis
• Partial Differential Equations
• Generalized Functions
• +۵ مورد دیگر

Günther Hörmann is an Associate Professor at the Faculty of Mathematics, Department of Mathematics, University of Vienna. With an academic career spanning from 1995 to present, he has established himself as a prominent researcher in mathematical analysis with particular expertise in generalized functions, microlocal analysis, and partial differential equations. His research interests span several interconnected areas of mathematical analysis and its applications: Generalized functions and Colombeau algebras Microlocal analysis and wavefront sets Partial differential equations, particularly wave equations Mathematical physics applications in quantum field theory Geophysical modeling and earth deformation Non-smooth geometry and regularization techniques Hörmann's scholarly output demonstrates a consistent focus on developing rigorous mathematical frameworks for analyzing differential equations with singular coefficients or data. His work often bridges pure mathematical theory with applications in physics, particularly in quantum mechanics, relativity, and geophysics. A distinctive feature of his research is the application of generalized function theory to problems that involve singularities or low regularity conditions. His publication record shows remarkable productivity across nearly three decades, with significant contributions in both theoretical mathematics and its applications. The interdisciplinary nature of his work is evident in collaborations across mathematics, physics, and even biomedical research as seen in his 2023 prostate cancer study.

• Mathematics
• Operator Theory
• Complex Analysis
• +۵ مورد دیگر

Christer Glader is a Lecturer at the Department of Mathematics, Faculty of Science and Engineering, Åbo Akademi University. His research focuses on advanced mathematical problems in complex analysis, operator theory, and numerical analysis. Research Interests: Glader's work spans operator theory, complex analysis, and numerical methods, with a particular emphasis on Crouzeix's Conjecture, Blaschke products, and Riemann-Hilbert problems. His studies often bridge theoretical and applied mathematics, including 2D elasticity and pseudodifferential operators. Publication Trends: Glader's publications since the 1980s reflect a consistent focus on complex analysis and numerical methods, evolving toward matrix analysis and applied mathematics in recent works. Key topics include Blaschke products, Crouzeix's Conjecture, and Riemann-Hilbert problems. Contact: Email: christer.glader@abo.fi

Salvatore Ivan Trapassoمشاهده پروفایل

استادیار

• Applied harmonic analysis
• Fourier analysis
• Machine learning
• +۵ مورد دیگر

Salvatore Ivan Trapasso is a Fixed-term Assistant Professor at the Department of Mathematical Sciences "GL Lagrange" (DISMA) , Polytechnic University of Turin , and a member of the SmartData@PoliTO - Big Data and Data Science Laboratory . His research focuses on Applied Harmonic Analysis , Fourier Analysis , Machine Learning , and Quantum Theory , with expertise in Mathematical Analysis (MATH-03/A) and Theoretical PDEs (PE1_11). Education : Implied PhD in Mathematics. Research Areas : Phase Space Analysis, Time-Frequency Methods, and Applications to Quantum Mechanics. His recent publications investigate phase space techniques for Feynman Path Integrals , Twisted Laplacian , Compressed Sensing , and Stability of Scattering Transforms . His work bridges Harmonic Analysis with Machine Learning and Quantum Dynamics . Notable scientific awards include the Axioms Young Investigator Award (2022) , Best Paper Award (ICGF 2020) , and the Quality Award 2019 from Polytechnic University of Turin. He serves on the Editorial Board of Advances in Operator Theory and as Associate Editor for University Texts in the Mathematical Sciences . Teaching roles include Lecturer for Mathematical Principles in the College of Architecture and Design , Collaborator for Mathematical Analysis I/II in Biomedical and Aerospace Engineering, and Contributor to advanced mathematical methods in Computer Science Engineering.

Jill Catherine Pipherمشاهده پروفایل

استاد

• Harmonic Analysis
• Elliptic Partial Differential Equations
• Cryptography
• +۳ مورد دیگر

Jill Catherine Pipher is the Elisha Benjamin Andrews Professor of Mathematics at Brown University. She has held roles including Vice President for Research at Brown (2017–2024) and has been a faculty member since 1990, progressing from Associate Professor to her current rank. Her research focuses on harmonic analysis, elliptic PDEs with non-smooth coefficients, and lattice-based cryptography. Pipher earned a PhD in Mathematics from UCLA in 1985 and has been a Dickson Instructor at the University of Chicago (1985–87) and Assistant Professor there (1987–1990). Her research interests include multiparameter Fourier analysis, boundary value problems for elliptic operators, and applications of cryptography. Notable contributions include work on the Dirichlet problem, NTRU cryptosystem development, and multi-parameter paraproducts. She has been funded by NSF grants totaling over $900,000 and has published extensively in journals like the American Journal of Mathematics and Journal of the American Mathematical Society. Education: PhD in Mathematics, UCLA (1985); BA in Mathematics, UCLA (1979) Affiliations: American Mathematical Society, Association for Women in Mathematics, SIAM Teaching: Courses in analysis, PDEs, cryptography, and topics in harmonic analysis. Her awards include the Sloan Fellowship, Presidential Young Investigator Award, and election to the American Academy of Arts and Sciences. Pipher has advised numerous researchers and contributed to interdisciplinary initiatives like ICERM (Institute for Computational and Experimental Research in Mathematics).

Nigel Higsonمشاهده پروفایل

استاد

• Operator Algebras
• K-theory
• Noncommutative Geometry
• +۴ مورد دیگر

Nigel Higson is the Evan Pugh University Professor in the Department of Mathematics at Pennsylvania State University, affiliated with the Eberly College of Science. His research focuses on operator algebras, K-theory, and noncommutative geometry, with significant contributions to the Baum-Connes conjecture, Connes-Kasparov isomorphism, and representation theory of reductive groups. He holds a Ph.D. from Dalhousie University (1986). His work bridges pure mathematics and mathematical physics, addressing topics like C*-algebras, index theory, and geometric group theory. Notable research includes studies on tempered duals, cyclic cohomology, and applications of hypoelliptic Laplacians. Higson has authored over 70 publications, including foundational papers on operator K-theory and the Novikov conjecture. Collaborative projects include NSF-funded research on geometric and analytic properties of discrete groups. His work is frequently published in top-tier journals and proceedings of international conferences.