other information
introduction
|
Paul Loya Associate Professor Department of Mathematics at Binghamton University. Ph.D., 1998, M.I.T. My thesis advisor was Richard Melrose. At Binghamton since 2002. |
| Office: | LN 2224 phone: (607) 777-3506, fax: (607) 777-2450 E-mail: paul at math.binghamton.edu |
| Address: | Dept. of Mathematics,
Binghamton University Vestal Parkway East Binghamton, NY 13902 |
teaching
I'm an advisor for the Binghamton University Math Club.Fall office hours: M F 3:30 - 4:30, R 4:30-5 and whenever you pass my office, you're welcome to step in.
| Classes: |
Fall: Calc III (Math 323): MWF 2:20-3:20, R 2:50-4:15.
Fall: Functional analysis (Math 590F):. Spring: Intro to Proofs (Math 330): MWF 12-1, R 8:30-9:55. Spring: Graduate Analysis (Math 505): MWF 10:50-11:50. Spring: Hodge Theory (Math 590F). |
research
Summary of research interests:
Global and Geometric Analysis,
Partial Differential Equations on Manifolds with Singularities,
Index Theory, Mathematical Physics, Differential Geometry. (If these words are incomprehensible,
the celebrated
Gauss-Bonnet Theorem gives
the basic gist of some of what I do. The
Atiyah-Singer Index Theorem is a more
precise description of my research.)
The Atiyah-Singer index theorem
Here are the slides on the Atiyah-Singer index theorem "for beginners" that I gave at the MSRI (Mathematical Sciences Research Institute) during the fall of 2008:
› The Atiyah-Singer index theorem I.
› The Atiyah-Singer index theorem II.
› Index theory on singular manifolds I.
› Index theory on singular manifolds II.