Michael Eugene Taylor (born 1946) is an American mathematician working in

partial differential equations In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to how ...

Biography

Taylor obtained his bachelor's degree from

Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...

in 1967, and completed his Ph.D. under the supervision of Heinz Otto Cordes at the

University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California), is a Public university, public Land-grant university, land-grant research university in Berkeley, California, United States. Founded in 1868 and named after t ...

(''Hypoelliptic Differential Equations''). He held a professorship at the

State University of New York at Stony Brook Stony Brook University (SBU), officially the State University of New York at Stony Brook, is a public university, public research university in Stony Brook, New York, United States, on Long Island. Along with the University at Buffalo, it is on ...

and is now the William R. Kenan Professor of Mathematics at the

University of North Carolina at Chapel Hill The University of North Carolina at Chapel Hill (UNC, UNC–Chapel Hill, or simply Carolina) is a public university, public research university in Chapel Hill, North Carolina, United States. Chartered in 1789, the university first began enrolli ...

. In 1986 he was awarded the

Lester Randolph Ford Award ''The American Mathematical Monthly'' is a peer-reviewed scientific journal of mathematics. It was established by Benjamin Finkel in 1894 and is published by Taylor & Francis on behalf of the Mathematical Association of America. It is an exposito ...

. He is a member of the

American Academy of Arts and Sciences The American Academy of Arts and Sciences (The Academy) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other ...

. In 1990 he was

invited speaker at the International Congress of Mathematicians An invitation system is a method of encouraging people to join an organization, such as a Club (organization), club or a website. In regular society, it refers to any system whereby new members are chosen; they cannot simply apply. In relation to w ...

in Kyoto (''Microlocal analysis in spectral and scattering theory and index theory''). He is a fellow of the American Mathematical Society. He is married to mathematician Jane M. Hawkins.

Notable publications

Books. * Michael E. Taylor. ''Pseudodifferential operators.'' Princeton Mathematical Series, 34. Princeton University Press, Princeton, N.J., 1981. xi+452 pp. * Michael E. Taylor. ''Noncommutative harmonic analysis.'' Mathematical Surveys and Monographs, 22. American Mathematical Society, Providence, RI, 1986. xvi+328 pp. * Michael E. Taylor. ''Pseudodifferential operators and nonlinear PDE.'' Progress in Mathematics, 100. Birkhäuser Boston, Inc., Boston, MA, 1991. 213 pp. * Michael E. Taylor. ''Tools for PDE. Pseudodifferential operators, paradifferential operators, and layer potentials.'' Mathematical Surveys and Monographs, 81. American Mathematical Society, Providence, RI, 2000. x+257 pp. * Michael E. Taylor. ''Measure theory and integration.'' Graduate Studies in Mathematics, 76. American Mathematical Society, Providence, RI, 2006. xiv+319 pp. * Michael E. Taylor. ''Introduction to differential equations.'' Pure and Applied Undergraduate Texts, 14. American Mathematical Society, Providence, RI, 2011. 409 pp. * Michael E. Taylor. ''Partial differential equations I. Basic theory.'' Second edition. Applied Mathematical Sciences, 115. Springer, New York, 2011. xxii+654 pp. * Michael E. Taylor. ''Partial differential equations II. Qualitative studies of linear equations.'' Second edition. Applied Mathematical Sciences, 116. Springer, New York, 2011. xxii+614 pp. * Michael E. Taylor. ''Partial differential equations III. Nonlinear equations.'' Second edition. Applied Mathematical Sciences, 117. Springer, New York, 2011. xxii+715 pp. * Dorina Mitrea, Irina Mitrea, Marius Mitrea, and Michael Taylor. ''The Hodge-Laplacian. Boundary value problems on

Riemannian manifold In differential geometry, a Riemannian manifold is a geometric space on which many geometric notions such as distance, angles, length, volume, and curvature are defined. Euclidean space, the N-sphere, n-sphere, hyperbolic space, and smooth surf ...

s.'' De Gruyter Studies in Mathematics, 64. De Gruyter, Berlin, 2016. ix+516 pp. * Michael E. Taylor. ''Introduction to complex analysis.'' Graduate Studies in Mathematics, 202. American Mathematical Society, Providence, RI, 2019. xiv+480 pp. Articles. * Jeffrey Rauch and Michael Taylor. ''Exponential decay of solutions to hyperbolic equations in bounded domains.'' Indiana Univ. Math. J. 24 (1974), 79–86. * Jeff Cheeger, Mikhail Gromov, and Michael Taylor. ''Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds.'' J. Differential Geom. 17 (1982), no. 1, 15–53. * Dorina Mitrea, Marius Mitrea, and Michael Taylor. ''Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds.'' Mem. Amer. Math. Soc. 150 (2001), no. 713, x+120 pp.

References

External links

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{{DEFAULTSORT:Taylor, Michael E. 20th-century American mathematicians Fellows of the American Mathematical Society Fellows of the American Academy of Arts and Sciences University of North Carolina at Chapel Hill faculty 1946 births Living people 21st-century American mathematicians