Ralph Greenberg | Academic Influence

Ralph Greenberg's AcademicInfluence.com Rankings

Ralph Greenberg

Mathematics

#2850

World Rank

#4315

Historical Rank

#1101

USA Rank

Measure Theory

#2654

World Rank

#3174

Historical Rank

#763

USA Rank

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Mathematics

Ralph Greenberg's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Ralph Greenberg Influential?

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According to Wikipedia, Ralph Greenberg is an American mathematician who has made contributions to number theory, in particular Iwasawa theory. He was born in Chester, Pennsylvania and studied at the University of Pennsylvania, earning a B.A. in 1966, after which he attended Princeton University, earning his doctorate in 1971 under the supervision of Kenkichi Iwasawa.

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Ralph Greenberg'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

Evidence for a subsurface ocean on Europa (1998) (486)
p-adicL-functions andp-adic periods of modular forms (1993) (313)
The Effect of Clozapine on Cognition and Psychiatric Symptoms in Patients with Schizophrenia (1993) (309)
Iwasawa Theory for $p$-adic Representations (1989) (240)
Formation of cycloidal features on Europa. (1999) (230)
Galileo Encounter with 951 Gaspra: First Pictures of an Asteroid (1992) (205)
Iwasawa theory for elliptic curves (1998) (186)
Kummer theory for abelian varieties over local fields (1996) (168)
On the Iwasawa invariants of elliptic curves (1999) (165)
Eruptions arising from tidally controlled periodic openings of rifts on Enceladus (2007) (164)
Galileo's First Images of Jupiter and the Galilean Satellites (1996) (153)
Impact-Induced Seismic Activity on Asteroid 433 Eros: A Surface Modification Process (2004) (137)
On the Iwasawa Invariants of Totally Real Number Fields (1976) (128)
On the structure of certain Galois groups (1978) (120)
Bulk density of asteroid 243 Ida from the orbit of its satellite Dactyl (1995) (118)
First Images of Asteroid 243 Ida (1994) (114)
Stability Limits in Extrasolar Planetary Systems (2006) (100)
On the Birch and Swinnerton-Dyer conjecture (1983) (94)
Images from Galileo of the Venus Cloud Deck (1991) (92)
Formation, habitability, and detection of extrasolar moons. (2014) (88)
Orbital interactions - A new geometrical formalism (1982) (86)
Iwasawa Theory — Past and Present (2001) (83)
Lunar Impact Basins and Crustal Heterogeneity: New Western Limb and Far Side Data from Galileo (1992) (81)
On p-adic L-functions and cyclotomic fields (1975) (72)
The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field (1973) (71)
PLANET–PLANET SCATTERING LEADS TO TIGHTLY PACKED PLANETARY SYSTEMS (2009) (66)
Introduction to Iwasawa theory for elliptic curves (2008) (58)
Galois Theory for the Selmer Group of an Abelian Variety (2003) (56)
The structure of Selmer groups. (1997) (56)
Acidification of Europa's subsurface ocean as a consequence of oxidant delivery. (2012) (55)
On p-Adic Artin L-Functions II (1983) (52)
On The Structure of (2006) (51)
On the jacobian variety of some algebraic curves (1980) (50)
Stability Limits in Resonant Planetary Systems (2007) (50)
Europa - The Ocean Moon: Search for an Alien Biosphere (2004) (49)
Apsidal precession of orbits about an oblate planet (1981) (49)
Transport rates of radiolytic substances into Europa's ocean: implications for the potential origin and maintenance of life. (2010) (49)
Galois representations with open image (2016) (45)
Behavior of Apsidal Orientations in Planetary Systems (2006) (42)
Galileo Multispectral Imaging of the North Polar and Eastern Limb Regions of the Moon (1994) (41)
On the behavior ofp-adicL-efunctions ats=0 (1978) (40)
Kinematics of the Low-Level Jet (1968) (36)
THE HD 40307 PLANETARY SYSTEM: SUPER-EARTHS OR MINI-NEPTUNES? (2009) (36)
Iwasawa Theory, projective modules, and modular representations (2011) (36)
On p-adic Artin L-functions (1983) (35)
On a certainl-adic representation (1973) (34)
On the structure of certain Galois cohomology groups. (2007) (32)
Collisional family structure within the Nysa–Polana complex (2015) (27)
ORIGIN AND DYNAMICS OF THE MUTUALLY INCLINED ORBITS OF υ ANDROMEDAE c AND d (2010) (25)
On p-adic L-functions and cyclotomic fields. II (1977) (24)
Saturn Ring Particles as Dynamic Ephemeral Bodies (1984) (24)
Defining the Flora Family: Orbital properties, reflectance properties and age (2014) (23)
Characterizing multi-planet systems with classical secular theory (2011) (22)
Tidal effects on brown dwarfs: application to the eclipsing binary 2MASS J05352184-0546085 - The anomalous temperature reversal in the context of tidal heating (2010) (21)
The image of Galois representations attached to elliptic curves with an isogeny (2012) (21)
TIDAL EVOLUTION OF A SECULARLY INTERACTING PLANETARY SYSTEM (2011) (20)
A Note on K 2 and the Theory of ℤ p -Extensions (1978) (20)
Apsidal Behavior among Planetary Orbits: Testing the Planet-Planet Scattering Model (2007) (20)
LONG-LIVED CHAOTIC ORBITAL EVOLUTION OF EXOPLANETS IN MEAN MOTION RESONANCES WITH MUTUAL INCLINATIONS (2015) (19)
On elliptic curves with an isogeny of degree 7 (2010) (19)
Higher Chern classes in Iwasawa theory (2015) (19)
A generalization of Kummer's criterion (1973) (19)
Orbit-orbit resonances among natural satellites (1977) (18)
Warming of Miranda during chaotic rotation (1987) (18)
L-functions and Arithmetic: Iwasawa theory for motives (1991) (15)
Orbital resonances among Saturn's satellites (1984) (11)
SECULAR BEHAVIOR OF EXOPLANETS: SELF-CONSISTENCY AND COMPARISONS WITH THE PLANET–PLANET SCATTERING HYPOTHESIS (2013) (10)
TOPICS IN IWASAWA THEORY (2010) (9)
Surjectivity of the global-to-local map defining a Selmer group (2010) (9)
Aligned Major Axes in a Planetary System without Tidal Evolution: The 61 Virginis example (2011) (9)
On the critical values of HeckeL-functions for imaginary quadratic fields (1985) (8)
Selmer Groups and Congruences (2011) (8)
Iwasawa’s Theory and p-ADIC L-Functions for Imaginary Quadratic Fields (1982) (7)
Cup products in the etale cohomology of number fields (2017) (7)
Iwasawa Theory for Artin Representations, I (2018) (6)
On 2-adicL-functions and cyclotomic invariants (1978) (6)
Exploration and protection of Europa's biosphere: implications of permeable ice. (2011) (5)
A NOTE ON K2 AND THE THEORY OF Zp-EXTENSIONS. (2016) (5)
Simultaneous Equations in the Model System With an Application to Econometric Modelling (1981) (4)
Arithmetic theory of elliptic curves : lectures given at the 3rd session of the Centro internazionale matematico estivo (C.I.M.E.), held in Cetraro, Italy, July 12-19, 1997 (1999) (4)
Scanning the Images of Science. (1992) (4)
Non-Vanishing of Certain Values of L -Functions (1987) (4)
Exterior powers in Iwasawa theory (2019) (4)
Elliptic curves and -adic deformations (1994) (4)
The Motions of Uranus' Satellites: Theory and Application (1979) (3)
Unramified arithmetic Chern-Simons invariants (2017) (3)
Atrial Lead Dislodgement with a DDD Pacemaker (1986) (3)
Problems for Solution: E1651-E1660 (1964) (2)
Problems for Solution: E1641-E1650 (1963) (2)
Evidence for non-synchronous rotation of Europa. Galileo Imaging Team. (1998) (2)
Planetary Systems and the Origins of Life: Europa, the ocean moon: tides, permeable ice, and life (2007) (2)
SMALL INNER COMPANIONS OF WARM JUPITERS: LIFETIMES AND LEGACIES (2013) (2)
THE EVIL TWIN OF AGENOR: MORE EVIDENCE FOR TECTONIC CONVERGENCE ON EUROPA. (2003) (2)
Orbital resonance in a dissipative medium. [planetary formation modeling] (1978) (1)
Use of External Muscle Stimulation in a Patient with a Unipolar DDD Pacemaker (1987) (1)
Tides and the Biosphere of Europa A liquid-water ocean beneath a thin crust of ice may offer several habitats for the evolution of life on one of Jupiter's moons (2016) (1)
Disk Memory Subsystem (1990) (0)
Inside the eruv: Are some Orthodox discreet or closing their eyes? (2007) (0)
Planetary astronomy: Rings, satellites, and asteroids (1988) (0)
Appareil et methode de stockage de donnees multimedia (1994) (0)
Life Under Water. (1998) (0)
Commensurabilities of satellites' apsidal precession periods. [for satellites of Saturn and Uranus (1975) (0)
E P ] 9 N ov 2 01 0 Origin and Dynamics of the Mutually Inclined Orbits of υ Andromedae c and d (2021) (0)
Méthode d'identification de secteurs pour des unités à secteurs durs (1986) (0)
The Planet HD 74156 d: A Successful Prediction by the Theory of Packed Planetary Systems (2007) (0)
Characterizing multi-planet systems with classical secular theory (2012) (0)
Tidal Heating and the Boundaries of the Habitable Zone (2009) (0)
System and method for preventing data loss in a random access memory system when mechanical shock during a write command (1993) (0)
Europa’s Ice Next . . . (2007) (0)
Ju l 2 02 1 Exterior Powers in Iwasawa Theory (2021) (0)
Stability of the Galilean Satellites in Deep Orbital Resonance (1985) (0)
Tidal Effects on the Habitability of Exoplanets: The Case of GJ 581 d (2010) (0)
Formation and Evolution of Exoplanets (2010) (0)
Argumente gegen Freuds Fallstudien (1991) (0)
Three Days of Rain (1999) (0)
Models of angular momentum input to a circumterrestrial swarm from encounters with heliocentric planetesimals (1984) (0)
Magnetic disk storage device (1990) (0)
Problems for Solution: E1597,E1611-E1620 (1963) (0)
On the Iwasawa Invariants of Ellipti Curves (2007) (0)
Estimates on Eisenstein Distributions for Reciprocals of p-Adic L-Functions: The Case of Irregular Primes (2016) (0)
Elementary Problems: E1795-E1804 (1965) (0)
Advanced Problems: 5280-5289 (1965) (0)
Galois properties of elliptic curves with an isogeny (2009) (0)
Problems for Solution: E1661-E1670 (1964) (0)
Advanced Problems: 5200-5208 (1964) (0)
Soulé's Regulator Map (2015) (0)
Problems for Solution: E1621-E1630 (1963) (0)
Problems for Solution: E1563-E1570 (1963) (0)
Problems for Solutions: E1601-E1609 (1963) (0)
Oblique impacts and asteroidal structure. (1980) (0)
3 1 M ay 2 01 9 ARITHMETIC CHERN-SIMONS THEORY WITH REAL PLACES (2019) (0)
Memoire a disque rapide de faible diametre (1991) (0)
Galois representations with open image (2016) (0)
The Role of Saturn's Oblateness in the Mimas-Tethys Resonance (1974) (0)
Problems for Solution: E1591-E1600 (1963) (0)
Preface to the Present Volume (1985) (0)
THE MOTIONS OF URANUS1 SATELLITES: THEORY AND APPLICATION (2015) (0)
My memories of Iwasawa (2020) (0)
Spin-driven tidal pumping: tidally driven changes in planetary spin coupled with secular interactions between planets (2013) (0)
Disk storage device (1991) (0)
A reexamination of early numerical simulations of planetary accretion (1991) (0)
A Circum-terrestrial Compositional Filter (1984) (0)
Procede de traitement de contaminants dans un environnement in situ (2003) (0)
Diagnostic Value of a Pacemaker High Rate Episode Counter When Programming the Ventricular Tachycardia Zone of an ICD (1999) (0)

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