Mathematics & Statistics

Science Complex P231

The College of New Jersey

PO Box 7718

Ewing, NJ 08628-0718

Phone: (609) 771-2259 Fax: (609) 637-5183

Email: hingston@tcnj.edu

PhD, Harvard University

**Research Interests**

- Algebraic Topology
- Differential Geometry
- Closed Geodesics

**Papers:** mathscinet reviews

- "Subharmonic Solutions of Hamiltonian Equations on Tori" preprint
- "Metrics without Morse index bounds". with T. Colding, Duke Math. J. 119 (2003), no. 2, 345--365.
- "On the equivariant Morse complex of the free loop space of a surface". Trans. Amer. Math. Soc. 350 (1998), no. 3, 1129--1141.
- "On the lengths of closed geodesics on a two-sphere." Proc. Amer. Math. Soc. 125 (1997), no. 10, 3099--3106.
- "On the growth of the number of closed geodesics on the two-sphere". Internat. Math. Res. Notices 1993, no. 9, 253--262.
- "Curve shortening, equivariant Morse theory, and closed geodesics on the $2$-sphere". Differential geometry: Riemannian geometry (Los Angeles, CA, 1990), 423--429, Proc. Sympos. Pure Math., 54, Part 3, Amer. Math. Soc., Providence, RI, 1993.
- "The Morse index theorem in the degenerate endmanifold case" with D. Kalish. Proc. Amer. Math. Soc. 118 (1993), no. 2, 663--668.
- "An equivariant model for the free loop space of $S\sp N$". Amer. J. Math. 114 (1992), no. 1, 139--155.
- "Isometry-invariant geodesics on spheres". Duke Math. J. 57 (1988), no. 3, 761--768.
- "Closed geodesics on manifolds with infinite abelian fundamental group" with V. Bangert. J. Differential Geom. 19 (1984), no. 2, 277--282.