Mikhail Katz

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Mikhail Katz (born 1958, in Chișinău)[1] is an Israeli mathematician, a professor of mathematics at Bar-Ilan University. His main interests are differential geometry and geometric topology; he is the author of a book about systolic geometry.

Katz earned a bachelor's degree in 1980 from Harvard University.[1] He did his graduate studies at Columbia University, receiving his Ph.D. in 1984 under the joint supervision of Troels Jørgensen and Mikhael Gromov.[2] 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 Études Scientifiques, the University of Rennes 1, Henri Poincaré University, and Tel Aviv University.[1]

Katz has performed research in systolic geometry in collaboration with Luigi Ambrosio, Victor Bangert, Mikhail Gromov, Steve Shnider, Shmuel Weinberger, and others. He has authored research publications appearing in journals including Communications on Pure and Applied Mathematics, Duke Mathematical Journal, Geometric and Functional Analysis, and Journal of Differential Geometry. Along with these papers, Katz was a contributor to the book "Metric Structures for Riemannian and Non-Riemannian Spaces".[3] Marcel Berger in his article "What is... a Systole?"[4] lists the book (Katz, 2007) as one of two books he cites in systolic geometry.

More recently Katz also contributed to the study of mathematics education[5] including work that provides an alternative interpretation of the number 0.999....[6]

Selected publications[edit]

  • Katz, Karin Usadi; Katz, Mikhail G. (2011), "Meaning in Classical Mathematics: Is it at Odds with Intuitionism?", Intellectica, 56 (2): 223–302, arXiv:1110.5456Freely accessible .


  1. ^ a b c Curriculum vitae, retrieved 2011-05-23.
  2. ^ Mikhail Katz at the Mathematics Genealogy Project
  3. ^ Gromov, Misha: Metric structures for Riemannian and non-Riemannian spaces. Based on the 1981 French original. With appendices by M. Katz, P. Pansu and S. Semmes. Translated from the French by Sean Michael Bates. Progress in Mathematics, 152. Birkhäuser Boston, Inc., Boston, MA, 1999. xx+585 pp. ISBN 0-8176-3898-9
  4. ^ Berger, M.: What is... a Systole? Notices of the AMS 55 (2008), no. 3, 374–376.
  5. ^ Katz & Katz (2010).
  6. ^ Stewart, I. (2009) Professor Stewart's Hoard of Mathematical Treasures, Profile Books, p. 174.

External links[edit]