Michael E. Taylor Explained

Michael E. Taylor
Nationality:	American
Fields:	Mathematics
Workplaces:	University of North Carolina at Chapel Hill
Alma Mater:	Princeton University (BA) University of California, Berkeley (PhD)
Thesis Title:	Hypoelliptic differential equations
Thesis Url:	http://oskicat.berkeley.edu/record=b15429162~S1
Thesis Year:	1970
Doctoral Advisor:	Heinz Otto Cordes
Spouse:	Jane M. Hawkins

Michael Eugene Taylor (born 1946) is an American mathematician working in partial differential equations.

Biography

Taylor obtained his bachelor's degree from Princeton University in 1967, and completed his Ph.D. under the supervision of Heinz Otto Cordes at the University of California, Berkeley (Hypoelliptic Differential Equations).^[1] He held a professorship at the State University of New York at Stony Brook and is now the William R. Kenan Professor of Mathematics at the University of North Carolina at Chapel Hill.

In 1986 he was awarded the Lester Randolph Ford Award.^{[2] [3]}

He is a member of the American Academy of Arts and Sciences.^[4] In 1990 he was invited speaker at the International Congress of Mathematicians in Kyoto (Microlocal analysis in spectral and scattering theory and index theory). He is a fellow of the American Mathematical Society.^[5]

He is married to mathematician Jane M. Hawkins.^[6]

Notable publications

Books.

• Michael E. Taylor. Pseudodifferential operators. Princeton Mathematical Series, 34. Princeton University Press, Princeton, N.J., 1981. xi+452 pp. ^[7]
• Michael E. Taylor. Noncommutative harmonic analysis. Mathematical Surveys and Monographs, 22. American Mathematical Society, Providence, RI, 1986. xvi+328 pp. ^[8]
• 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. Book: 2nd edition. 978-1-4704-6762-3. ^[9]
• Michael E. Taylor. Partial differential equations I. Basic theory. Second edition. Applied Mathematical Sciences, 115. Springer, New York, 2011. xxii+654 pp. ^[10]
• 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 manifolds. 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. ^[11]

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.
• Dorino 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.

External links

• Homepage

Notes and References

1. http://www.genealogy.math.ndsu.nodak.edu/id.php?id=7871 Mathematics Genealogy Project
2. Lester R. Ford Award in 1986 for discussion, in the American Mathematical Monthly in 1985, of the 2-volume treatise on linear partial differential operators by Lars Hörmander
3. Book Review of The Analysis of Linear Partial Differential Operators, Vols I & II. Amer. Math. Monthly. 1985. 92. 745–749. 10.2307/2323245. 2323245.
4. Web site: Michael E. Taylor. American Academy of Arts and Sciences.
5. https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society
6. Jane Hawkins, How I became a mathematician.
7. Duistermaat, J. J.. Hans Duistermaat. Review: Pseudodifferential operators, by Michael E. Taylor. Bull. Amer. Math. Soc. (N.S.). 1982. 7. 1. 277–279. 10.1090/s0273-0979-1982-15034-0. free.
8. Strichart, Robert S.. Robert Strichartz. Review: Noncommutative harmonic analysis, by Michael E. Taylor. Bull. Amer. Math. Soc. (N.S.). 1987. 17. 1. 152–156. 10.1090/S0273-0979-1987-15547-9. free.
9. Web site: Bóna, Miklós. February 27, 2022. Review of Introduction to Differential Equations by Mark E. Taylor. MAA Reviews, Mathematical Association of America .
10. Eskin, Gregory. Review: Partial differential equations I, II, III, by Michael Taylor. Bull. Amer. Math. Soc. (N.S.). 1998. 35. 2. 175–177. 10.1090/s0273-0979-98-00747-2. free.
11. Web site: Hunacek, Mark. July 11, 2020. Review of Introduction to Complex Analysis by Mark E. Taylor. MAA Reviews, Mathematical Association of America .