Mikhail Katz

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title: "Mikhail Katz" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["1958-births", "living-people", "21st-century-israeli-mathematicians", "differential-geometers", "harvard-university-alumni", "columbia-university-alumni", "university-of-maryland,-college-park-faculty", "stony-brook-university-faculty", "indiana-university-faculty", "academic-staff-of-bar-ilan-university", "textbook-writers", "israeli-mathematics-educators"] description: "Israeli mathematician" topic_path: "science/mathematics" source: "https://en.wikipedia.org/wiki/Mikhail_Katz" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0

::summary Israeli mathematician ::

::data[format=table title="Infobox scientist"]

Field	Value
name	Mikhail Katz
native_name	מיכאיל כץ
native_name_lang	he
image
birth_date
birth_place	Chișinău, Moldavian SSR
nationality	Israeli
fields	Mathematics
workplaces	Bar-Ilan University
education	Harvard University (BA)
Columbia University (PhD)
thesis_title	Jung's Theorem in Complex Projective Geometry
thesis_url
thesis_year
doctoral_advisor	Troels Jørgensen
Mikhail Gromov
website	http://u.cs.biu.ac.il/~katzmik/
::

| honorific_prefix = | name = Mikhail Katz | honorific_suffix = | native_name = מיכאיל כץ | native_name_lang = he | image = | image_size = | alt = | caption = | birth_date = | birth_place = Chișinău, Moldavian SSR | other_names = | residence = | citizenship = | nationality = Israeli | fields = Mathematics | workplaces = Bar-Ilan University | patrons = | education = Harvard University (BA) Columbia University (PhD) | alma_mater = | thesis_title = Jung's Theorem in Complex Projective Geometry
| thesis_url = | thesis_year = | doctoral_advisor = Troels Jørgensen Mikhail Gromov | academic_advisors = | doctoral_students = | influences = | influenced = | signature_alt = | website = http://u.cs.biu.ac.il/~katzmik/
| footnotes =

Mikhail "Mischa" Gershevich Katz (, ; born 1958) is an Israeli mathematician and professor of mathematics at Bar-Ilan University. His main interests are differential geometry, geometric topology, nonstandard analysis, and mathematics education; he is the author of the book Systolic Geometry and Topology, which is mainly about systolic geometry. The Katz–Sabourau inequality is named after him and Stéphane Sabourau.

Biography

Mikhail Katz was born in Chișinău in 1958. His mother was Clara Katz (née Landman). In 1976, he moved with his mother to the United States.

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 Jørgensen 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 Études Scientifiques, the University of Rennes 1, Henri Poincaré University, and Tel Aviv University.

Work

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". Marcel Berger in his article "What is... a Systole?" lists Katz's 2007 book Systolic Geometry and Topology as one of two books he cites in systolic geometry.

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

References

References

1. [http://u.cs.biu.ac.il/~mschaps/English/Regular_Faculty/Katz_Mikhail-cv.pdf Curriculum vitae]{{dead link. (January 2018)
2. (2017). "Systolic aspects of black hole entropy".
3. Chavel, Isaac. (2006-04-10). "Riemannian Geometry: A Modern Introduction". Cambridge University Press.
4. "Clara Katz, a Soviet émigré who saved her ailing granddaughter, dies at 85 – The Boston Globe".
5. (12 October 2006). "Grandmother bucked the Soviet system – Obituaries – smh.com.au".
6. {{MathGenealogy
7. [[Mikhail Gromov (mathematician). Gromov, Misha]]: ''Metric structures for Riemannian and non-Riemannian spaces''. Based on the 1981 French original. With appendices by M. Katz, P. Pansu and [[Stephen Semmes. 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
8. Berger, M.: What is... a [[systolic geometry. Systole]]? ''Notices of the AMS'' 55 (2008), no. 3, 374–376.
9. Stewart, I. (2009) ''Professor Stewart's Hoard of Mathematical Treasures'', Profile Books, p. 174.

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