Paul Loya |
Department of Mathematics at Binghamton University.
At Binghamton since 2002.
|Office:||LN 2224 |
phone: (607) 777-3506, fax: (607) 777-2450
|Address:||Dept. of Mathematics,
Binghamton University |
Vestal Parkway East
Binghamton, NY 13902
TeachingSpring office hours: TBD.
Atiyah-Singer Index Theorem: TBD.
Math Modeling (Math 356): MWF 9:40-10:40 AP G15, T 10:05-11:30 S2 260.
Real Analysis (Math 479): MWF 1:10-2:10 AP G14, T 1:15-2:40 SW 231.
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.