Mikhail G. Katz

Mathematical Physics · 2003–2013

A researcher in the Science corpus: 10 papers; trusts 31 researchers and is trusted by 8 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 42 citations into it; #4,703 of 8,562 by trust here, #2,904 by citations
• Geometry and Topology — 31 citations into it; #3,819 of 7,422 by trust here, #3,228 by citations
• Computational Theory and Mathematics — 20 citations into it
• Theoretical Computer Science — 20 citations into it; #97 of 253 by trust here, #47 by citations
• Applied Mathematics — 17 citations into it
• Atomic and Molecular Physics, and Optics — 8 citations into it
• Statistical and Nonlinear Physics — 8 citations into it
• Algebra and Number Theory — 7 citations into it

Whom Mikhail G. Katz trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. R. Ely
2. Philip Ehrlich
3. Piotr Błaszczyk
4. H. Jerome Keisler
5. David Sherry
6. David Tall
7. Ivor Grattan-Guinness
8. Misha Gromov
9. Alexandre V. Borovik
10. O. Cornea

Who trusts Mikhail G. Katz overall

1. Piotr Błaszczyk
2. David Sherry
3. Alexander Dranishnikov
4. Misha Gromov
5. Henry Cohn
6. Michael Brunnbauer
7. Alexandre V. Borovik
8. Vijay Balasubramanian

Papers from Mikhail G. Katz's perspective

Ordered by how strongly the researchers Mikhail G. Katz trusts endorse each paper. Same corpus, a different order for every researcher.

1. The Rise of non-Archimedean Mathematics and the Roots of a Misconception I: The Emergence of non-Archimedean Systems of Magnitudes
2. Nonstandard Analysis, Axiomatically
3. Who Gave You the Cauchy–Weierstrass Tale? The Dual History of Rigorous Calculus
4. Ten Misconceptions from the History of Analysis and Their Debunking
5. Reflective Abstraction in Advanced Mathematical Thinking
6. The Psychology of Advanced Mathematical Thinking
7. Nonstandard Student Conceptions About Infinitesimals
8. Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes from Berkeley to Russell and Beyond
9. Alpha-theory: An elementary axiomatics for nonstandard analysis
10. Advanced Mathematical Thinking

Their papers

• Is mathematical history written by the victors (2013) — 47 citations
• Leibniz's laws of continuity and homogeneity (2012) — 50 citations
• Ten Misconceptions from the History of Analysis and Their Debunking (2012) — 49 citations
• Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes from Berkeley to Russell and Beyond (2012) — 88 citations
• Who Gave You the Cauchy–Weierstrass Tale? The Dual History of Rigorous Calculus (2011) — 70 citations
• Small values of the Lusternik-Schnirelmann category for manifolds (2008) — 49 citations
• Systolic geometry and topology (2007) — 118 citations
• LOGARITHMIC GROWTH OF SYSTOLE OF ARITHMETIC RIEMANN SURFACES ALONG CONGRUENCE SUBGROUPS (2005) — 92 citations
• Entropy of systolically extremal surfaces and asymptotic bounds (2004) — 59 citations
• Universal volume bounds in Riemannian manifolds (2003) — 85 citations