Other Information
Introduction
|
Paul Loya Associate Professor Department of Mathematics at Binghamton University. At Binghamton since 2002. |
| Office: | WH 206 phone: (607) 777-3506, fax: (607) 777-2450 
|
| Address: | Dept. of Mathematics,
Binghamton University Vestal Parkway East Binghamton, NY 13902 |
Teaching
Spring office hours: TBD.| Classes: |
Atiyah-Singer Index Theorem.
Differential Equations. Real Analysis. |
Research
Summary of research interests:
Global and Geometric Analysis,
Partial Differential Equations on Manifolds with Singularities,
Index Theory, Mathematical Physics, Differential Geometry. (The celebrated
Gauss-Bonnet Theorem gives
the basic gist of some of what interests me. 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.