Marco Abate
#118,522
Most Influential Person Now
Italian mathematician
Marco Abate's AcademicInfluence.com Rankings
Marco Abatemathematics Degrees
Mathematics
#5758
World Rank
#8081
Historical Rank
Complex Analysis
#30
World Rank
#45
Historical Rank
Algebraic Geometry
#216
World Rank
#225
Historical Rank
Measure Theory
#3477
World Rank
#4102
Historical Rank

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Mathematics
Marco Abate's Degrees
- PhD Mathematics Consorzio ICoN
Why Is Marco Abate Influential?
(Suggest an Edit or Addition)According to Wikipedia, Marco Abate is an Italian mathematician. Life He was born in Milan, Italy on 29 August 1962. Career He completed his PhD in 1988 at the Scuola Normale Superiore di Pisa. His dissertation thesis was titled Iteration Theory of Holomorphic Maps on Taut Manifolds. His doctoral advisor was Edoardo Vesentini.
Marco Abate's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Iteration theory of holomorphic maps on taut manifolds (1989) (397)
- Finsler Metrics—A Global Approach (1994) (232)
- The residual index and the dynamics of holomorphic maps tangent to the identity (2001) (97)
- Finsler Metrics - A Global Approach: with Applications to Geometric Function Theory (1994) (96)
- Horospheres and iterates of holomorphic maps (1988) (75)
- Index theorems for holomorphic self-maps (2004) (65)
- Toeplitz operators and Carleson measures in strongly pseudoconvex domains (2012) (58)
- The infinitesimal generators of semigroups of holomorphic maps (1992) (57)
- The Julia-Wolff-Carathéodory theorem in polydisks (1996) (54)
- Discrete holomorphic local dynamical systems (2009) (54)
- Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains (2009) (50)
- The evolution of Loewner's differential equations (2010) (47)
- Iteration theory, compactly divergent sequences and commuting holomorphic maps (1991) (43)
- Complex Finsler metrics (1993) (40)
- Wolff–Denjoy theorems in nonsmooth convex domains (2012) (35)
- Discrete local holomorphic dynamics (2003) (35)
- Curves and Surfaces (2005) (34)
- Angular Derivatives in Several Complex Variables (2004) (33)
- Diagonalization of nondiagonalizable discrete holomorphic dynamical systems (1999) (33)
- The Lindelöf principle and the angular derivative in strongly convex domains (1990) (32)
- Holomorphic Dynamical Systems (2010) (30)
- Poincaré-Bendixson theorems for meromorphic connections and holomorphic homogeneous vector fields (2011) (24)
- Parabolic curves in ℂ3 (2003) (24)
- Common fixed points in hyperbolic Riemann surfaces and convex domains (1991) (23)
- Backward iteration in strongly convex domains (2011) (21)
- Holomorphic curvature of Finsler metrics and complex geodesics (1992) (21)
- Index theorems for holomorphic maps and foliations (2006) (21)
- Real methods in complex and CR geometry (2004) (20)
- Common fixed points of commuting holomorphic maps (1989) (19)
- Modulation of aldose reductase activity by aldose hemiacetals. (2015) (18)
- Embeddings of submanifolds and normal bundles (2006) (18)
- A characterization of hyperbolic manifolds (1993) (18)
- The Lindelöf principle and angular derivatives in convex domains of finite type (2002) (18)
- Localization of Atiyah classes. (2010) (17)
- Poincar\'e-Bendixson theorems for meromorphic connections and homogeneous vector fields (2009) (16)
- An introduction to hyperbolic dynamical systems (2001) (15)
- Isometries of the Teichmüller metric (1998) (15)
- Boundary behaviour of invariant distances and complex geodesics (1986) (14)
- Converging semigroups of holomorphic maps (1988) (13)
- Fatou Flowers and Parabolic Curves (2015) (13)
- Stable manifolds for holomorphic automorphisms (2011) (12)
- Common boundary regular fixed points for holomorphic semigroups in strongly convex domains (2014) (11)
- Kähler Finsler Manifolds of Constant Holomorphic Curvature (1997) (11)
- Basins of attraction in quadratic dynamical systems with a Jordan fixed point (2002) (11)
- Formal Poincaré-Dulac renormalization for holomorphic germs (2010) (10)
- Holomorphic classification of 2-dimensional quadratic maps tangent to the identity (Complex Dynamics) (2005) (10)
- Iterates and semigroups on taut manifolds (1990) (9)
- Complex Finsler geometry (1994) (9)
- Parabolic curves in C 3 (2005) (9)
- Open problems in local discrete holomorphic dynamics (2011) (9)
- Holomorphic actions on contractible domains without fixed points (1992) (9)
- When Is A Linear Operator Diagonalizable (1997) (8)
- A Poincaré–Bendixson theorem for meromorphic connections on Riemann surfaces (2014) (8)
- Uniqueness of complex geodesics and characterization of circular domains (1992) (7)
- Toeplitz operators and skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains (2019) (7)
- Holomorphic dynamical systems : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 7-12, 2008 (2010) (7)
- Formal classiflcation of holomorphic maps tangent to the identity (2004) (7)
- Imagine maths 4 : between culture and mathematics (2015) (7)
- Formal normal forms for holomorphic maps tangent to the identity (2004) (6)
- Index theorems for meromorphic self-maps of the projective space (2011) (6)
- The Julia-Wolff-Carathéodory theorem(s) (1999) (6)
- A Julia-Wolff-Caratheodory theorem for infinitesimal generators in the unit ball (2014) (5)
- Iteration theory on weakly convex domains (1990) (5)
- Skew Carleson Measures in Strongly Pseudoconvex Domains (2017) (5)
- A characterization of the Chern and Bernwald connections (2005) (4)
- Finsler Metrics of Constant Curvature and the Characterization of Tube Domains (2005) (4)
- Random iteration on hyperbolic Riemann surfaces (2021) (3)
- The Many Faces of Lorenz Knots (2012) (3)
- Geometric Origami (2020) (3)
- The Kobayashi distance in holomorphic dynamics and operator theory (2015) (3)
- Iteration of holomorphic families (1994) (3)
- Complex geodesics and Finsler metrics (1995) (2)
- A Poincaré–Bendixson theorem for meromorphic connections on Riemann surfaces (2015) (2)
- Imagine Math 6 (2018) (2)
- Carleson Measures and Toeplitz Operators (2017) (1)
- Corrigendum to “Backward iteration in strongly convex domains” [Adv. Math. 228 (5) (2011) 2837–2854] (2020) (1)
- L’Agrapheur: Intrigues Policières à Saveur Mathématique (Quick on the Draw: Crime Busting with a Mathematical Twist) by Alain Hertz (English translation by Andrea Zanin) (2013) (1)
- Convex-like properties of the Teichmüller metric by (2005) (1)
- AN INTRODUCTION TO DISCRETE HOLOMORPHIC LOCAL DYNAMICS IN ONE COMPLEX VARIABLE (2008) (1)
- Automorphism groups of the classical domains, II (1985) (1)
- Isometries for the Carathéodory metric (2007) (1)
- Orbit structure of non-compact hermitian symmetric spaces (1987) (1)
- An introduction to holomorphic dynamics in one complex variable Informal notes (2010) (1)
- A general approach to Camacho-Sad-like index theorems (2014) (1)
- Wolff–Denjoy theorems in nonsmooth convex domains (2013) (1)
- Local theory of curves (2012) (0)
- Global theory of plane curves (2012) (0)
- Ritt’s theorem and the Heins map in hyperbolic complex manifolds (2004) (0)
- Mathematics and Culture in Europe by Mirella Manaresi (ed.) (2009) (0)
- Telling mathematics in a comic strip (2003) (0)
- Prime Suspects by Andrew Granville, Jennifer Granville, and Robert J. Lewis (2020) (0)
- EXOTIC SPHERES AND JOHN MILNOR (2013) (0)
- Prime Suspects by Andrew Granville, Jennifer Granville, and Robert J. Lewis (2020) (0)
- Denjoy-Wolff theorems in not necessarily smooth convex domains (2012) (0)
- Homogeneous vector fields and meromorphic connections (2010) (0)
- The Gauss-Bonnet theorem (2012) (0)
- FOLIATIONS, DISTRIBUTIONS AND VANISHING THEOREMS FOR ATIYAH AND CHERN CLASSES (2008) (0)
- Discrete local holomorphic dynamics Informal notes (2005) (0)
- Curves and surfaces / Marco Abate, Francesca Tovena (2012) (0)
- Title Holomorphic classification of 2-dimensional quadratic maps (2018) (0)
- À LA RECHERCHE DES RACINES PERDUES (In Search of Lost Roots) (2015) (0)
- Angular derivatives in several complex variables Notes for a CIME course (2005) (0)
- Real methods in complex and CR geometry : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, June 30-July 6, 2002 (2004) (0)
- Who Killed Professor X? by Thodoris Andriopoulos and Thanasis Gkiokas (2017) (0)
- Local theory of surfaces (2012) (0)
- Real Finsler geometry (1994) (0)
- Dynamics in Several Complex Variables (2017) (0)
- Global theory of surfaces (2012) (0)
- Number Theory Revealed: An Introduction by Andrew Granville (2020) (0)
- Multipoint Julia theorems (2021) (0)
- Manifolds with constant holomorphic curvature (1994) (0)
- How to Prevent Crimes Using Earthquakes (2018) (0)
- Number Theory Revealed: An Introduction by Andrew Granville (2020) (0)
- C V ] 1 1 N ov 2 01 2 Wolff-Denjoy theorems in non-smooth convex domains (2014) (0)
- Random iteration on hyperbolic Riemann surfaces (2022) (0)
- Who Killed Professor X? by Thodoris Andriopoulos and Thanasis Gkiokas (2017) (0)
- COHOMOGENEITY TWO HYPERBOLIC ACYCLIC STEIN MANIFOLDS (1992) (0)
- Geodesic flow and index theorems for meromorphic connections (2014) (0)
- Skew Carleson Measures in Strongly Pseudoconvex Domains (2018) (0)
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