Katz, Gabriel

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 Author ID: katz.gabriel Published as: Katz, Gabriel
 Documents Indexed: 34 Publications since 1983, including 2 Books Co-Authors: 9 Co-Authors with 7 Joint Publications 165 Co-Co-Authors
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Co-Authors

 27 single-authored 2 Berend, Daniel 1 Alpert, Hannah 1 Cobo-Reyes, Ramón 1 Davis, James Frederic 1 Farber, Michael S. 1 Levine, Jerome P. 1 Markussen, Thomas 1 Meraglia, Simone 1 Nodelman, Vladimir
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Serials

 3 American Journal of Mathematics 3 Topology 2 Commentarii Mathematici Helvetici 2 Transactions of the American Mathematical Society 2 Qualitative Theory of Dynamical Systems 2 JP Journal of Geometry and Topology 2 Journal of Topology and Analysis 2 Arnold Mathematical Journal 1 American Mathematical Monthly 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Topology and its Applications 1 Annals of Global Analysis and Geometry 1 Social Choice and Welfare 1 Expositiones Mathematicae 1 Journal of Dynamics and Differential Equations 1 The Asian Journal of Mathematics 1 Inverse Problems and Imaging
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Fields

 23 Manifolds and cell complexes (57-XX) 15 Global analysis, analysis on manifolds (58-XX) 7 Differential geometry (53-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Algebraic geometry (14-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations contained in zbMATH Open

19 Publications have been cited 68 times in 36 Documents Cited by Year
How tangents solve algebraic equations, or a remarkable geometry of discriminant varieties. Zbl 1045.14021
Katz, Gabriel
2003
Morse theory of harmonic forms. Zbl 0911.58001
Farber, Michael; Katz, Gabriel; Levine, Jerome
1998
Traversally generic $$\&$$ versal vector flows: semi-algebraic models of tangency to the boundary. Zbl 1376.57031
Katz, Gabriel
2017
Convexity of Morse stratifications and gradient spines of 3-manifolds. Zbl 1182.57013
Katz, Gabriel
2009
Curves in cages: an algebro-geometric zoo. Zbl 1156.14019
Katz, Gabriel
2006
The stratified spaces of real polynomials and trajectory spaces of traversing flows. Zbl 1380.37040
Katz, Gabriel
2016
Separating topology and number theory in the Atiyah-Singer $$g$$-signature formula. Zbl 0760.57018
Berend, Daniel; Katz, Gabriel
1990
Local formulae in equivariant bordisms. Zbl 0777.57014
Katz, Gabriel
1992
The ball-based origami theorem and a glimpse of holography for traversing flows. Zbl 1437.57032
Katz, Gabriel
2020
Complexity of shadows and traversing flows in terms of the simplicial volume. Zbl 1348.53050
Katz, Gabriel
2016
Using simplicial volume to count multi-tangent trajectories of traversing vector fields. Zbl 1365.53043
Alpert, Hannah; Katz, Gabriel
2016
Causal holography in application to the inverse scattering problems. Zbl 1415.37043
Katz, Gabriel
2019
Localization in equivariant bordisms. Zbl 0808.57024
Katz, Gabriel
1993
Morse theory, gradient flows, concavity and complexity on manifolds with boundary. Zbl 1432.58002
Katz, Gabriel
2020
Flows in Flatland: a romance of few dimensions. Zbl 1394.37074
Katz, Gabriel
2017
Harmonic forms and near-minimal singular foliations. Zbl 1002.32023
Katz, Gabriel
2002
Witt analogs of the Burnside ring and integrality theorems. II. Zbl 0651.57029
Katz, Gabriel
1987
Some realization theorems in equivariant L-theory and calculations of G- signature. Zbl 0525.57029
Katz, Gabriel
1983
On polynomial generators in the algebra of complex functions on a compact space. Zbl 0596.32026
Katz, Gabriel
1986
The ball-based origami theorem and a glimpse of holography for traversing flows. Zbl 1437.57032
Katz, Gabriel
2020
Morse theory, gradient flows, concavity and complexity on manifolds with boundary. Zbl 1432.58002
Katz, Gabriel
2020
Causal holography in application to the inverse scattering problems. Zbl 1415.37043
Katz, Gabriel
2019
Traversally generic $$\&$$ versal vector flows: semi-algebraic models of tangency to the boundary. Zbl 1376.57031
Katz, Gabriel
2017
Flows in Flatland: a romance of few dimensions. Zbl 1394.37074
Katz, Gabriel
2017
The stratified spaces of real polynomials and trajectory spaces of traversing flows. Zbl 1380.37040
Katz, Gabriel
2016
Complexity of shadows and traversing flows in terms of the simplicial volume. Zbl 1348.53050
Katz, Gabriel
2016
Using simplicial volume to count multi-tangent trajectories of traversing vector fields. Zbl 1365.53043
Alpert, Hannah; Katz, Gabriel
2016
Convexity of Morse stratifications and gradient spines of 3-manifolds. Zbl 1182.57013
Katz, Gabriel
2009
Curves in cages: an algebro-geometric zoo. Zbl 1156.14019
Katz, Gabriel
2006
How tangents solve algebraic equations, or a remarkable geometry of discriminant varieties. Zbl 1045.14021
Katz, Gabriel
2003
Harmonic forms and near-minimal singular foliations. Zbl 1002.32023
Katz, Gabriel
2002
Morse theory of harmonic forms. Zbl 0911.58001
Farber, Michael; Katz, Gabriel; Levine, Jerome
1998
Localization in equivariant bordisms. Zbl 0808.57024
Katz, Gabriel
1993
Local formulae in equivariant bordisms. Zbl 0777.57014
Katz, Gabriel
1992
Separating topology and number theory in the Atiyah-Singer $$g$$-signature formula. Zbl 0760.57018
Berend, Daniel; Katz, Gabriel
1990
Witt analogs of the Burnside ring and integrality theorems. II. Zbl 0651.57029
Katz, Gabriel
1987
On polynomial generators in the algebra of complex functions on a compact space. Zbl 0596.32026
Katz, Gabriel
1986
Some realization theorems in equivariant L-theory and calculations of G- signature. Zbl 0525.57029
Katz, Gabriel
1983
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Cited by 34 Authors

 13 Katz, Gabriel 4 Gelbukh, Irina 2 Baralić, Đorđe 2 Berend, Daniel 2 Brambilla, Maria Chiara 2 Little, Robert D. 2 Mikhalkin, Evgeniĭ N. 2 Staglianò, Giovanni 2 Tsikh, Avgust Karlovich 1 Aguirre-Hernández, Baltazar 1 Alpert, Hannah 1 Antipova, Irina Avgustovna 1 Băbălîc, Elena-Mirela 1 Campagnolo, Caterina 1 Davis, James Frederic 1 Frías-Armenta, Martín Eduardo 1 Frosini, Patrizio 1 Grbić, Branko 1 Kurmann, Simon 1 Latschev, Janko 1 Lazaroiu, Calin Iuliu 1 Lee, Hwangrae 1 Magaña-Cáceres, Julio C. 1 McAdam, Stephen J. 1 Muciño-Raymundo, Jesús 1 Netsvetaev, Nikita Yu. 1 Ratliff, Louis J. jun. 1 Sarkar, Soumen 1 Sauer, Roman 1 Shchuplev, Alexey V. 1 Spasojević, Igor 1 Sturmfels, Bernd 1 Suh, Dong Youp 1 Žikelić, {D}or{d}e
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Cited in 28 Serials

 3 Geometriae Dedicata 2 Czechoslovak Mathematical Journal 2 Journal of Algebra 2 Transactions of the American Mathematical Society 2 Qualitative Theory of Dynamical Systems 2 Arnold Mathematical Journal 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Duke Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Topology and its Applications 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 Discrete & Computational Geometry 1 MCSS. Mathematics of Control, Signals, and Systems 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Sbornik: Mathematics 1 Journal of High Energy Physics 1 Foundations of Computational Mathematics 1 Journal of Topology and Analysis
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Cited in 18 Fields

 19 Manifolds and cell complexes (57-XX) 13 Global analysis, analysis on manifolds (58-XX) 8 Differential geometry (53-XX) 7 Algebraic geometry (14-XX) 4 Commutative algebra (13-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Algebraic topology (55-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX)