Michael E. Taylor

http://www.unc.edu/math/Faculty/met/

Position

William R. Kenan Professor of Mathematics

Address

Mathematics Dept.

Univ. of North Carolina

Chapel Hill NC 27599-3250

e-mail: met@math.unc.edu

Education

A.B., Princeton Univ., 1967

Ph.D., Univ. of California, Berkeley, 1970

Field

Partial Differential Equations

Memberships

American Academy of Arts and Sciences **

American Mathematical Society

Society for Industrial and Applied Mathematics

Downloadable Lecture Notes and Assorted Papers, by Subject Area

1. Pseudodifferential operators, Fourier integral operators, and microlocal analysis.
2. Singular integral operators and PDE on rough domains.
3. Wave propagation.
4.  Spectral theory and harmonic analysis of the Laplacian and other elliptic operators, including Fourier inversion.
5. Elliptic equations, Dirichlet problems, Green functions, etc.
6. Diffusion processes and other random processes.
7. AMS talks and various seminar talks.
8. Linear algebra notes.
9. Functional Analysis course.
10. Classical Fourier Analysis, various aspects.
11. Complex Analysis course.
12. Math 521-522, basic undergraduate analysis (advanced calculus).
13. Math 524, second semester ODE.
14. Math 653, beginning graduate analysis.
15. Differential Geometry, Riemann surfaces, index theory.
16. Lie Groups and representation theory.
17. Special Functions.
18. Euler and Navier-Stokes equations.
19. PDE course.
20. Computer notes: numerics and graphics.