Metric structures for Riemannian and non-Riemannian spaces M Gromov, M Katz, P Pansu, S Semmes Birkhäuser, 1999 | 2927 | 1999 |
Systolic geometry and topology MG Katz American Mathematical Soc., 2007 | 131 | 2007 |
Leibniz’s infinitesimals: Their fictionality, their modern implementations, and their foes from Berkeley to Russell and beyond MG Katz, D Sherry Erkenntnis 78, 571-625, 2013 | 115 | 2013 |
The filling radius of two-point homogeneous spaces M Katz Journal of Differential Geometry 18 (3), 505-511, 1983 | 92 | 1983 |
Universal volume bounds in Riemannian manifolds CB Croke, MG Katz arXiv preprint math/0302248, 2003 | 86 | 2003 |
Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups MG Katz, M Schaps, U Vishne Journal of Differential Geometry 76 (3), 399-422, 2007 | 84 | 2007 |
Who gave you the Cauchy–Weierstrass tale? The dual history of rigorous calculus A Borovik, MG Katz Foundations of Science 17 (3), 245-276, 2012 | 83 | 2012 |
Ten misconceptions from the history of analysis and their debunking P Błaszczyk, MG Katz, D Sherry Foundations of Science 18 (1), 43-74, 2013 | 67 | 2013 |
Entropy of systolically extremal surfaces and asymptotic bounds MG Katz, S Sabourau Ergodic Theory and Dynamical Systems 25 (4), 1209-1220, 2005 | 60 | 2005 |
Leibniz’s laws of continuity and homogeneity M Katz, D Sherry Notices of the American Mathematical Society 59 (11), 2012 | 59 | 2012 |
Fermat, Leibniz, Euler, and the gang: The true history of the concepts of limit and shadow T Bascelli, E Bottazzi, F Herzberg, V Kanovei, KU Katz, MG Katz, T Nowik, ... arXiv preprint arXiv:1407.0233 1, 2014 | 56 | 2014 |
A cognitive analysis of Cauchy’s conceptions of function, continuity, limit and infinitesimal, with implications for teaching the calculus D Tall, M Katz Educational Studies in Mathematics 86, 97-124, 2014 | 55* | 2014 |
Is mathematical history written by the victors? J Bair, P Błaszczyk, R Ely, V Henry, V Kanovei, KU Katz, MG Katz, ... Notices of the AMS 60 (7), 886-904, 2013 | 54 | 2013 |
Small values of the Lusternik–Schnirelmann category for manifolds AN Dranishnikov, MG Katz, YB Rudyak Geometry & Topology 12 (3), 1711-1727, 2008 | 49 | 2008 |
Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics V Kanovei, MG Katz, T Mormann Foundations of Science 18 (2), 259-296, 2013 | 48 | 2013 |
Infinitesimals, imaginaries, ideals, and fictions D Sherry, M Katz Studia Leibnitiana, 166-192, 2012 | 47 | 2012 |
Almost equal: The method of adequality from Diophantus to Fermat and beyond MG Katz, DM Schaps, S Shnider Perspectives on Science 21 (3), 283-324, 2013 | 46 | 2013 |
Infinitesimals as an issue of neo-Kantian philosophy of science T Mormann, M Katz HOPOS: The Journal of the International Society for the History of …, 2013 | 45 | 2013 |
Approaches to analysis with infinitesimals following Robinson, Nelson, and others P Fletcher, K Hrbacek, V Kanovei, MG Katz, C Lobry, S Sanders | 43 | 2017 |
Stevin numbers and reality KU Katz, MG Katz Foundations of science 17, 109-123, 2012 | 43 | 2012 |