Neil N. Katz



Professor

Mathematics Department

New York City College of Technology (CUNY)

300 Jay Street, Brooklyn NY, USA 11201

telephone

718-260-5782

fax

718-254-8537

e-mail

nkatz|at|citytech|dot|cuny|dot|edu

office

N-824 (Namm building, 8th floor)

Fall 2020 semester


On leave


research interests

Riemannian geometry: integral geometry including isosystolic inequalities and their generalizations, radial curvature

preprints

A lower curvature bound for length measure spaces from a modulus of curves (in preparation)

Hyperbolic metrics on open subsets of Ptolemaic spaces with sharp parameter bounds (to appear, Proceedings of the American Math. Soc.) [Early View PDF], [arXiv:2004.04728v1]

publications

with Marcus Khuri Three Quasi-Local Masses, Modern Phys. Lett. A 27 no. 7 (2012) [abstract and pdf], [arXiv:1201-6636v1]

A modulus of curves from distance, Ann. Acad. Sci. Fenn. Math. 35 (2010) 3--21. [abstract and pdf]

Minimal volume with length bounded below, Diff. Geom. and its Appl. 22 (2005) 297--313.

An upper bound for small eigenvalues of the Laplacian, Osaka J. Math. 40 (2003) 449--454.

with Kei Kondo, Generalized space forms, Trans. Amer. Math. Soc. 354 (2002) 2279--2284.