Picture here 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


Spring office hours: TBD.
Classes: Atiyah-Singer Index Theorem.
Differential Equations.
Real Analysis.


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.