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)

Spring 2022 semester teaching

office hours

courses




Monday 10:30am--11:30am and 4:00pm--5:00pm or by appointment

Calculus II (MAT 1575) section D536 MW 2:00pm--3:40pm

Calculus III (MAT 2675) section D680 MW 12:00pm--1:40pm

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)


publications

Hyperbolic metrics on open subsets of Ptolemaic spaces with sharp parameter bounds, Proc. Amer. Math. Soc. 149 (2021) 2213--2220. [abstract and link], [arXiv:2004.04728v1]

with Marcus Khuri Three Quasi-Local Masses, Modern Phys. Lett. A 27 no. 7 (2012). [abstract and link], [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.