Welcome to Paul Loya's Home Page


Personal Information
Picture here 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.
Spring office hours: MWF 9-9:45AM and 12-2PM.
Class information: Graduate Real Analysis.

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.)

Research Publications and Preprints

Undergraduate Mathematics Publications and Preprints


For Undergraduate and Graduate Students

› Bored? Want some challenging "Problems of the Month/Week"?

Check out University of Colorado, Stony Brook, Bilkent University, Purdue University. The problems by Purdue are especially challenging!

› Want to write beautiful mathematics papers on your Windows computer?

Just follow the step-by-step procedures on how to install an a Latex system using WinEdt. (WinEdt costs $40. However, you can instead use TeXnicCenter, which is free.) A (Not So) Short Introduction to LaTeX2e is a free book on how to use Latex.

› Want to do power-point presentations using Latex?

Check out Prosper, a package for Latex that makes great pdf presentations.

› Want to do cool undergraduate mathematical research?

Check out the many summer REU's (research experience for undergrads) and start applying!

› Grad school in mathematics?

Here are some Group Descriptions of math graduate schools in the US, which might give you some feel of what levels of schools where you might fit.

› What can you do with a Mathematics degree?

Of the "Top Ten Jobs in the US", TWO are in the Math Department! (See Jobs Rated Almanac by Les Krantz, Barricade Books, 2002. Jobs are rated in terms of low stress, high compensation, lots of autonomy, tremendous hiring demand, and several other key criteria.)

Other important, fun, and exciting jobs that need mathematicians: The American Mathematical Society has lots of information on careers; click on "Careers in Mathematics video" for a cool video, one lady even states that Real Analysis (= Advanced Calculus) was her most useful class! Here are profiles of mathematicians in different fields.

› Young mathematician?

Here is some practical advice from the late Gian-Carlo Rota.


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Last Modified: 11-1-05