Neil Katz

Neil Katz is a Professor in the Mathematics Department at the School of Arts & Sciences, New York City College of Technology (CUNY). Based in office N-824 of the Namm Building, he can be reached at nkatz@citytech.cuny.edu or 718-260-5782, with office hours Mondays and Wednesdays from 4:00pm to 5:00pm or by appointment.

Education:

• B.Sc. from University of Toronto
• Ph.D. from Stony Brook University

Research Focus:

Professor Katz specializes in Riemannian geometry, with deep expertise in integral geometry, isosystolic inequalities and their generalizations, and radial curvature. His work establishes critical connections between local curvature properties and global topological invariants, particularly examining how curvature constraints govern geodesic behavior, volume minimization, and spectral characteristics of manifolds. This research has significant implications for understanding optimal metric structures and topological rigidity in geometric analysis.

Publication Trends:

Spanning 2002-2021, Katz's publications demonstrate sustained innovation in geometric analysis. Early work (2002-2005) established foundational results in space forms and minimal volume problems, while later contributions (2010-2021) advanced curve modulus theory, eigenvalue bounds, and non-Riemannian hyperbolic metrics. His 2012 interdisciplinary paper on quasi-local masses bridges differential geometry with general relativity. Collectively, these works reveal a cohesive methodology applying geometric measure theory to solve complex problems in metric geometry and mathematical physics.

Scientific Awards:

• No awards documented

Academic Service:

Teaching Spring 2025 includes Calculus III (MAT2675) and Differential Equations (MAT2680). No information available regarding graduate student supervision or research grants.

Research Context:

No dedicated laboratories or formal research teams are referenced; current work appears centered on theoretical developments in metric geometry with an in-preparation manuscript addressing curvature bounds for length measure spaces.