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D-Index & Metrics

Mathematics

D-Index
46
Citations
19057
World Ranking
1310
National Ranking
583

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2007 - Fellow of the American Academy of Arts and Sciences

Overview

Michael Taylor is affiliated with the University of North Carolina at Chapel Hill in the United States. Their research primarily spans the field of Mathematics with a focus on several subfields including Mathematical Physics, Applied Mathematics, Geophysics, Artificial Intelligence, and Computational Theory and Mathematics.

The main topics in Michael Taylor's work include:

  • Geological and Geochemical Analysis
  • Geochemistry and Geologic Mapping
  • Numerical methods in inverse problems
  • Mathematical Analysis and Transform Methods
  • Spectral Theory in Mathematical Physics
  • Advanced mathematical theories
  • Earthquake and tectonic studies

Michael Taylor has a number of recent publications covering various areas of study, including both mathematical theory and geochemical exploration. Selected recent papers include:

  • The Teena Zn-Pb Deposit (McArthur Basin, Australia). Part I: Syndiagenetic Base Metal Sulfide Mineralization Related to Dynamic Subbasin Evolution, 2021, Economic Geology
  • The Lower Devonian Water Canyon formation of Northeastern Utah, 2021, Utah State Research and Scholarship (Utah State University)
  • REE-bearing phosphate mineral chemistry for iron sulfide-copper-gold exploration: A study at Jericho, NW Queensland, Australia, 2024, Journal of Geochemical Exploration
  • Higher dimensional vortex standing waves for nonlinear Schrödinger equations, 2024, UNC Libraries
  • Bôcher's Theorem with Rough Coefficients, 2020, Potential Analysis

The venues where Michael Taylor frequently publishes include UNC Libraries, Economic Geology, Journal of Geochemical Exploration, Utah State Research and Scholarship (Utah State University), and Potential Analysis.

Collaboration is evident in Michael Taylor's career, working frequently with coauthors such as Xiaoqi Huang, Christopher D. Sogge, Nicholas Hayward, Joseph M. Magnall, and Rosalind King.

Michael Taylor has received recognition as a Fellow of the American Mathematical Society since 2013 and as a Fellow of the American Academy of Arts and Sciences since 2007.

Best Publications

  • Partial Differential Equations II: Qualitative Studies of Linear Equations

    Michael E. Taylor

  • Pseudo differential operators

    Michael Eugene Taylor

  • Partial Differential Equations I: Basic Theory

    Michael E. Taylor

  • Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds

    Jeff Cheeger;Mikhail Gromov;Michael Taylor

  • pseudodifferential-operators-and-nonlinear-pde

    Michael Eugene Taylor

  • Partial Differential Equations III

    Michael E. Taylor

  • Noncommutative Harmonic Analysis

    Michael Eugene Taylor

  • Tools for PDE

    Michael Eugene Taylor

  • Partial Differential Equations II

    Michael E. Taylor

  • Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations

    Michael E. Taylor

  • Exponential Decay of Solutions to Hyperbolic Equations in Bounded Domains

    Jeffrey Rauch;Michael Taylor

  • Potential and scattering theory on wildly perturbed domains

    Jeffrey Rauch;Michael Taylor

  • On the diffraction of waves by conical singularities. I

    Jeff Cheeger;Michael E Taylor

  • Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds

    Dorina Mitrea;Marius Mitrea;Michael Taylor

  • Noncommutative microlocal analysis

    Michael Eugene Taylor

  • Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle

    Richard B Melrose;Michael E Taylor

  • Grazing rays and reflection of singularities of solutions to wave equations

    Michael E. Taylor

  • Measure Theory and Integration

    Michael Eugene Taylor

  • Boundary layer methods for Lipschitz domains in Riemannian manifolds

    Marius Mitrea;Michael Taylor

  • Reflection of singularities of solutions to systems of differential equations

    Michael E. Taylor

  • Pseudodifferential Operators (Pms-34)

    Michael Eugene Taylor

Frequent Co-Authors

Marius Mitrea
Marius Mitrea Baylor University
Jeffrey Rauch
Jeffrey Rauch University of Michigan–Ann Arbor
Steve Hofmann
Steve Hofmann University of Missouri
Ronald G. Douglas
Ronald G. Douglas Texas A&M University
András Vasy
András Vasy Stanford University
Matti Lassas
Matti Lassas University of Helsinki
Rafe Mazzeo
Rafe Mazzeo Stanford University
Jeff Cheeger
Jeff Cheeger Courant Institute of Mathematical Sciences
Robert Schrader
Robert Schrader University of Erlangen-Nuremberg

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