Edit Profile (opens in new tab) Katz, Gabriel Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1045.14021Katz, Gabriel 11 2003 Morse theory of harmonic forms. Zbl 0911.58001Farber, Michael; Katz, Gabriel; Levine, Jerome 8 1998 Traversally generic \(\&\) versal vector flows: semi-algebraic models of tangency to the boundary. Zbl 1376.57031Katz, Gabriel 6 2017 Convexity of Morse stratifications and gradient spines of 3-manifolds. Zbl 1182.57013Katz, Gabriel 6 2009 Curves in cages: an algebro-geometric zoo. Zbl 1156.14019Katz, Gabriel 4 2006 The stratified spaces of real polynomials and trajectory spaces of traversing flows. Zbl 1380.37040Katz, Gabriel 4 2016 Separating topology and number theory in the Atiyah-Singer \(g\)-signature formula. Zbl 0760.57018Berend, Daniel; Katz, Gabriel 3 1990 Local formulae in equivariant bordisms. Zbl 0777.57014Katz, Gabriel 3 1992 The ball-based origami theorem and a glimpse of holography for traversing flows. Zbl 1437.57032Katz, Gabriel 3 2020 Complexity of shadows and traversing flows in terms of the simplicial volume. Zbl 1348.53050Katz, Gabriel 3 2016 Using simplicial volume to count multi-tangent trajectories of traversing vector fields. Zbl 1365.53043Alpert, Hannah; Katz, Gabriel 3 2016 Causal holography in application to the inverse scattering problems. Zbl 1415.37043Katz, Gabriel 3 2019 Localization in equivariant bordisms. Zbl 0808.57024Katz, Gabriel 2 1993 Morse theory, gradient flows, concavity and complexity on manifolds with boundary. Zbl 1432.58002Katz, Gabriel 2 2020 Flows in Flatland: a romance of few dimensions. Zbl 1394.37074Katz, Gabriel 2 2017 Harmonic forms and near-minimal singular foliations. Zbl 1002.32023Katz, Gabriel 2 2002 Witt analogs of the Burnside ring and integrality theorems. II. Zbl 0651.57029Katz, Gabriel 1 1987 Some realization theorems in equivariant L-theory and calculations of G- signature. Zbl 0525.57029Katz, Gabriel 1 1983 On polynomial generators in the algebra of complex functions on a compact space. Zbl 0596.32026Katz, Gabriel 1 1986 The ball-based origami theorem and a glimpse of holography for traversing flows. Zbl 1437.57032Katz, Gabriel 3 2020 Morse theory, gradient flows, concavity and complexity on manifolds with boundary. Zbl 1432.58002Katz, Gabriel 2 2020 Causal holography in application to the inverse scattering problems. Zbl 1415.37043Katz, Gabriel 3 2019 Traversally generic \(\&\) versal vector flows: semi-algebraic models of tangency to the boundary. Zbl 1376.57031Katz, Gabriel 6 2017 Flows in Flatland: a romance of few dimensions. Zbl 1394.37074Katz, Gabriel 2 2017 The stratified spaces of real polynomials and trajectory spaces of traversing flows. Zbl 1380.37040Katz, Gabriel 4 2016 Complexity of shadows and traversing flows in terms of the simplicial volume. Zbl 1348.53050Katz, Gabriel 3 2016 Using simplicial volume to count multi-tangent trajectories of traversing vector fields. Zbl 1365.53043Alpert, Hannah; Katz, Gabriel 3 2016 Convexity of Morse stratifications and gradient spines of 3-manifolds. Zbl 1182.57013Katz, Gabriel 6 2009 Curves in cages: an algebro-geometric zoo. Zbl 1156.14019Katz, Gabriel 4 2006 How tangents solve algebraic equations, or a remarkable geometry of discriminant varieties. Zbl 1045.14021Katz, Gabriel 11 2003 Harmonic forms and near-minimal singular foliations. Zbl 1002.32023Katz, Gabriel 2 2002 Morse theory of harmonic forms. Zbl 0911.58001Farber, Michael; Katz, Gabriel; Levine, Jerome 8 1998 Localization in equivariant bordisms. Zbl 0808.57024Katz, Gabriel 2 1993 Local formulae in equivariant bordisms. Zbl 0777.57014Katz, Gabriel 3 1992 Separating topology and number theory in the Atiyah-Singer \(g\)-signature formula. Zbl 0760.57018Berend, Daniel; Katz, Gabriel 3 1990 Witt analogs of the Burnside ring and integrality theorems. II. Zbl 0651.57029Katz, Gabriel 1 1987 On polynomial generators in the algebra of complex functions on a compact space. Zbl 0596.32026Katz, Gabriel 1 1986 Some realization theorems in equivariant L-theory and calculations of G- signature. Zbl 0525.57029Katz, Gabriel 1 1983 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year