Department of Mathematics

University of Massachusetts Dartmouth

North Dartmouth, MA 02747-2300

Tel: (508) 910-6905

Fax: (508) 910-6917

dfine@umassd.edu

- Professor of Mathematics
- Ph.D. in Applied Mathematics, MIT (1989)
- B.S. with Distinction in Mathematics, Stanford University (1983)

**Courses this term:**

- MTH150 Precalculus Syllabus Course Policies
- MTH212 Differential equations Syllabus Course Policies
- MTH421 Complex variables Syllabus Course Policies

- Path integrals, SUSY QM and the Atiyah-Singer index theorem for twisted Dirac
- A Rigorous Path Integral for N=1 Supersymmetic Quantum Mechanics on a Riemannian Manifold
- A Rigorous Path Integral for Supersymmetric Quantum Mechanics and the Heat Kernel
- Topological Sectors and Measures on Moduli Space in Quantum Yang-Mills on a Riemann Surface
- Energy in Yang-Mills on a Riemann Surface

- Mathematical Physics
- Soccer
- Music