His main interests are differential geometry, geometric topology and math- ematics education; he is the author of the book Systolic Geometry and Topology, which is mainly about systolic geometry. 'The Katz-Sabourau inequality isnamed after him and Stéphane Sabourau. Katz earned a bachelor's degree in 1980 from Harvard University. He did his graduate studies at Columbia University, receiving his Ph.D. in 1984 under the joint supervision of Troels Jorgensen and Mikhael Gromov. His thesis title is Jung's Theorem in Complex Projective Geometry. He moved to Bar-Ilan University in 1999, after previously holding positions at the University of Maryland, College Park, Stony Brook University, Indiana University Bloomington, the Institut des Hautes Etudes Scientifiques, the University of Rennes 1, Henri Poincaré University, and Tel Aviv University Author of: A quantitative obstruction to collapsing surfaces, Open Mathematics (2019);Convexity, criticalpoints, andconnectivityradius,Proceedingsofthe American Mathematical Society (2019); Systolically extremal nonpositively curved surfaces are flat with finitely many singularities". Journal of Topology and Analysis (2019); Determinantalvarietyandnormalembedding" JournalofTopologyand Analysis 10 (2018); Leibniz's well-founded fictions and their interpretations". Mat. Stud. 49 (2018); Analyzing Benardete's comment on decimal notation" and others.