Mikhail Katz

Mikhail Katz

Bar-Ilan University

H-index: 34

Asia-Israel

About Mikhail Katz

Mikhail Katz, With an exceptional h-index of 34 and a recent h-index of 15 (since 2020), a distinguished researcher at Bar-Ilan University, specializes in the field of Differential geometry, Riemannian geometry, History of Mathematics, Philosophy of Mathematics, Nonstandard Analysis.

His recent articles reflect a diverse array of research interests and contributions to the field:

Exploring Felix Klein's contested modernism

Nonpositively curved surfaces are Loewner

Leibniz on bodies and infinities: rerum natura and mathematical fictions

Extending Gromov’s optimal systolic inequality

Constructing nonstandard hulls and Loeb measures in internal set theories

When does a hyperbola meet its asymptote? Bounded infinities, fictions, and contradictions in Leibniz

New invariants of Gromov–Hausdorff limits of Riemannian surfaces with curvature bounded below

Peano and Osgood theorems via effective infinitesimals

Mikhail Katz Information

University

Position

___

Citations(all)

5684

Citations(since 2020)

1629

Cited By

4760

hIndex(all)

34

hIndex(since 2020)

15

i10Index(all)

75

i10Index(since 2020)

27

Email

University Profile Page

Bar-Ilan University

Google Scholar

View Google Scholar Profile

Mikhail Katz Skills & Research Interests

Differential geometry

Riemannian geometry

History of Mathematics

Philosophy of Mathematics

Nonstandard Analysis

Top articles of Mikhail Katz

Title

Journal

Author(s)

Publication Date

Exploring Felix Klein's contested modernism

arXiv preprint arXiv:2402.00122

Peter Heinig

Mikhail G Katz

Karl Kuhlemann

Jan Peter Schaefermeyer

David Sherry

2024/1/31

Nonpositively curved surfaces are Loewner

arXiv preprint arXiv:2404.00757

Mikhail G Katz

Stephane Sabourau

2024/3/31

Leibniz on bodies and infinities: rerum natura and mathematical fictions

The Review of Symbolic Logic

Mikhail G Katz

Karl Kuhlemann

David Sherry

Monica Ugaglia

2024/3

Extending Gromov’s optimal systolic inequality

Journal of Geometry

Thomas G Goodwillie

James J Hebda

Mikhail G Katz

2023/8

Constructing nonstandard hulls and Loeb measures in internal set theories

Bulletin of Symbolic Logic

Karel Hrbacek

Mikhail G Katz

2023/3

When does a hyperbola meet its asymptote? Bounded infinities, fictions, and contradictions in Leibniz

arXiv preprint arXiv:2311.06023

Mikhail G Katz

David Sherry

Monica Ugaglia

2023/11/10

New invariants of Gromov–Hausdorff limits of Riemannian surfaces with curvature bounded below

Geometriae Dedicata

Semyon Alesker

Mikhail G Katz

Roman Prosanov

2023/2

Peano and Osgood theorems via effective infinitesimals

arXiv preprint arXiv:2311.01374

Karel Hrbacek

Mikhail G Katz

2023/11/2

Extremal spherical polytopes and Borsuk's conjecture

arXiv preprint arXiv:2301.13076

Mikhail Katz

Facundo Mémoli

Qingsong Wang

2023/1/30

Effective Infinitesimals in

Karel Hrbacek

Mikhail G Katz

2023/10

Evolution of Leibniz’s Thought in the Matter of Fictions and Infinitesimals

Monica Ugaglia

Mikhail Katz

2023/9/19

This is a``preproof''accepted article for The Bulletin of Symbolic Logic. This version may be subject to change during the production process.

KAREL HRBACEK

MIKHAIL G KATZ

2022/12/4

Historical infinitesimalists and modern historiography of infinitesimals

arXiv preprint arXiv:2210.14504

Jacques Bair

Alexandre Borovik

Vladimir Kanovei

Mikhail G Katz

Semen Kutateladze

...

2022/10/26

Two-track depictions of Leibniz’s fictions

The Mathematical Intelligencer

Mikhail G Katz

Karl Kuhlemann

David Sherry

Monica Ugaglia

Mark van Atten

2022/9

Three case studies in current Leibniz scholarship

arXiv preprint arXiv:2201.02047

Mikhail G Katz

Karl Kuhlemann

David Sherry

Monica Ugaglia

2022/1/6

Is pluralism in the history of mathematics possible?

arXiv preprint arXiv:2212.12422

Jacques Bair

Alexandre Borovik

Vladimir Kanovei

Mikhail G Katz

Semen S Kutateladze

...

2022/12/15

Infinitesimals via Cauchy sequences: Refining the classical equivalence

Open Mathematics

Emanuele Bottazzi

Mikhail G Katz

2021/6/3

Procedures of Leibnizian infinitesimal calculus: An account in three modern frameworks

British Journal for the History of Mathematics

Jacques Bair

Piotr Błaszczyk

Robert Ely

Mikhail G Katz

Karl Kuhlemann

2021/9/2

A Pu–Bonnesen inequality

Journal of Geometry

Mikhail G Katz

Stéphane Sabourau

2021/8

Infinitesimal analysis without the Axiom of Choice

Annals of Pure and Applied Logic

Karel Hrbacek

Mikhail G Katz

2021/6/1

See List of Professors in Mikhail Katz University(Bar-Ilan University)

Co-Authors

H-index: 81
Luigi Ambrosio

Luigi Ambrosio

Scuola Normale Superiore di Pisa

H-index: 33
Alexander Dranishnikov

Alexander Dranishnikov

University of Florida

H-index: 19
David Schaps

David Schaps

Bar-Ilan University

H-index: 18
Mark van Atten

Mark van Atten

École Normale Supérieure

H-index: 17
Uzi Vishne

Uzi Vishne

Bar-Ilan University

H-index: 15
Mary Schaps

Mary Schaps

Bar-Ilan University

academic-engine