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