David Minda | Academic Influence

David Minda's AcademicInfluence.com Rankings

David Minda

Mathematics

#6218

World Rank

#8653

Historical Rank

#1910

USA Rank

Measure Theory

#4606

World Rank

#5392

Historical Rank

#1277

USA Rank

mathematics Degrees

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Mathematics

David Minda's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University
Bachelors Mathematics University of California, Berkeley

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Why Is David Minda Influential?

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According to Wikipedia, Carl David Minda is an American mathematician, the Charles Phelps Taft Professor of Mathematics at the University of Cincinnati. Minda did his undergraduate studies at the University of Cincinnati, earning a bachelor's degree in 1965 and a masters in 1966. He then earned his Ph.D. in 1970 from the University of California, San Diego, under the supervision of Burton Rodin. He taught at the University of Minnesota, and then returned to the Cincinnati faculty. He was given the Taft Professorship in 1999. His research falls within the branch of mathematics known as Complex Analysis. His research interests include structure of hyperbolic metric, Riemann surfaces, and geometric Schwarz-Pick lemma.

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David Minda'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

The hyperbolic metric and geometric function theory (2006) (201)
Uniformly convex functions (1992) (181)
Distortion theorems for Bloch functions (1997) (70)
Uniformly convex functions II (1993) (52)
Area, capacity and diameter versions of Schwarz’s Lemma (2008) (47)
ISOMETRIES OF SOME HYPERBOLIC-TYPE PATH METRICS, AND THE HYPERBOLIC MEDIAL AXIS PETER HÄSTÖ, ZAIR IBRAGIMOV, DAVID MINDA, SAMINATHAN PONNUSAMY AND SWADESH SAHOO (2006) (45)
Hyperbolically convex functions (1994) (43)
The strong form of Ahlfors' lemma (1987) (40)
A reflection principle for the hyperbolic metric and applications to geometric function theory (1987) (35)
Sphere-preserving maps in inversive geometry (2001) (34)
Estimates for the hyperbolic metric (1985) (24)
Triangles, Ellipses, and Cubic Polynomials (2008) (24)
A multi-point Schwarz-Pick Lemma (2004) (22)
Random iteration of analytic maps (2004) (21)
Quasi-invariant domain constants (1992) (21)
Distortion theorems for locally univalent Bloch functions (1996) (20)
Geodesics and Curvature of Möbius Invariant Metrics (2008) (18)
Inequalities for the hyperbolic metric and applications to geometric function theory (1987) (17)
Ring domains with separating circles or separating annuli (1989) (17)
Coefficient Inequalities for Strongly Close-to-Convex Functions (1997) (16)
Two-point distortion for univalent functions (1999) (16)
Applications of hyperbolic convexity to euclidean and spherical convexity (1987) (16)
Normal Families: a Geometric Perspective (2014) (15)
Euclidean linear invariance and uniform local convexity (1992) (15)
The hyperbolic metirc and bloch constants for spherically convex regions (1986) (14)
The Bloch and Marden constants (1990) (14)
The density of the hyperbolic metric near an isolated boundary point (1997) (13)
Möbius invariant metrics bilipschitz equivalent to the hyperbolic metric (2008) (13)
Schwarzian norms and two-point distortion (2011) (12)
SPHERICAL LINEAR INVARIANCE AND UNIFORM LOCAL SPHERICAL CONVEXITY (1992) (12)
Hyperbolic geometry in hyperbolically K-convex regions (1991) (11)
Estimates for Conformal Metric Ratios (2006) (10)
The minimum points of the hyperbolic metric (1993) (10)
Hyperbolic linear invariance and hyperbolic k-convexity (1995) (9)
Large deviations for the leaves in some random trees (2008) (9)
Bloch and normal functions on general planar regions (1988) (9)
The hyperbolic metric and spherically convex regions (2001) (8)
Circle packing and Riemann surfaces (1991) (8)
Two-Point Distortion Theorems for Strongly Close-to-Convex Functions (1997) (8)
TWO-POINT DISTORTION THEOREMS FOR BOUNDED UNIVALENT FUNCTIONS (2008) (8)
Another elementary approach to the theorems of landau, montel, picard and schottky (1983) (7)
Hyperbolically 1-convex functions (2004) (7)
On the Pointwise Limit of Complex Analytic Functions (2003) (7)
A heuristic principle for a nonessential isolated singularity (1985) (6)
A Schwarz lemma for multivalued functions and distortion theorems for Bloch functions with branch points (1999) (6)
Two-Point Distortion Theorems for Spherically Convex Functions (2000) (5)
Dieudonné Points of Holomorphic Self-Maps of Regions (2008) (5)
HYPERBOLIC GEOMETRY IN ^-CONVEX REGIONS (1990) (5)
Comparing invariant distances and conformal metrics on Riemann surfaces (2001) (5)
Euclidean circles of curvature for geodesics of conformal metrics (1999) (5)
Conformal Images and the Angle of Parallelism (2012) (4)
Geometric properties of hyperbolic geodesics (2006) (4)
The Hurwitz Metric (2016) (4)
The Dirichlet problem for a disk (1990) (4)
Quotients of Hyperbolic Metrics (2017) (4)
Transcendental Dynamics and Complex Analysis: Conformal automorphisms of finitely connected regions (2008) (3)
Hyperbolic geometry in spherically k -convex regions (1990) (3)
Monotonicity of hyperbolic curvature under univalent mappings (1991) (3)
Hyperbolic curvature on rlemann surfaces (1989) (3)
The Diameter of a Hyperbolic Disc (2011) (3)
Linear invariance and uniform local univalence (1991) (3)
Hyperbolic Distortion for Holomorphic Maps (2010) (2)
The Hyperbolic Metric on Bloch Regions (1995) (2)
ANOTHER APPROACH TO PICARD'S THEOREM AND A UNIFYING PRINCIPLE IN GEOMETRIC FUNCTION THEORY (1992) (2)
Rectilinear slit conformal mappings (1996) (2)
An Extension of Montel’s Three Omitted Values Theorem (2021) (2)
BLOCH CONSTANTS FOR MEROMORPHIC FUNCTIONS NEAR AN ISOLATED SINGULARITY (1984) (2)
Two-Point Distortion for Nehari Functions (2014) (2)
Bounded Schwarzian and Two-Point Distortion (2013) (1)
Convex sets of constant width and 3-diameter (2012) (1)
The Divergence of Two Hyperbolic Geodesics (2012) (1)
Euclidean Properties of Hyperbolic Polar Coordinates (2006) (1)
A GEOMETRIC APPROACH TO TWO-POINT COMPARISONS FOR HYPERBOLIC AND EUCLIDEAN GEOMETRY (1999) (1)
Quotients of Hyperbolic Metrics (2017) (0)
The modulus of a doubly connected region and negatively curved metrics (1984) (0)
Double Cosets, Rotations and Isometric Circles (2021) (0)
Geometric Julia–Wolff Theorems for Weak Contractions (2022) (0)
Normal Families: a Geometric Perspective (2014) (0)
Groups of Rotations of Euclidean and Hyperbolic Spaces (2022) (0)
The Hurwitz Metric (2015) (0)
An Extension of Montel’s Three Omitted Values Theorem (2021) (0)
Two-Point Distortion for Nehari Functions (2013) (0)
Complex Analytic Functions (2016) (0)
Bounded Schwarzian and Two-Point Distortion (2013) (0)
Normal Families of Möbius Maps (2020) (0)
Printed in the United Kingdom Random iteration of analytic maps (2004) (0)
Surjective isometries of metric geometries (2020) (0)

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