John H. Coates | Academic Influence

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John H. Coates

Mathematics

#201

World Rank

#453

Historical Rank

Measure Theory

#2286

World Rank

#2738

Historical Rank

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Mathematics

John H. Coates's Degrees

Bachelors Mathematics University of Melbourne
PhD Mathematics University of Melbourne

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According to Wikipedia, John Henry Coates was an Australian mathematician who was the Sadleirian Professor of Pure Mathematics at the University of Cambridge in the United Kingdom from 1986 to 2012. Early life and education Coates was born the son of J. H. Coates and B. L. Lee on 26 January 1945 and grew up in Possum Brush in New South Wales, Australia. Coates Road in Possum Brush is named after the family farm on which he grew up. Before university he spent a summer working for BHP in Newcastle, New South Wales, though he was not successful in gaining a university scholarship with the company. Coates attended Australian National University on scholarship as one of the first undergraduates, from which he gained a BSc degree. He then moved to France, doing further study at the École Normale Supérieure in Paris, before moving again, this time to England.

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John H. Coates'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

Endogenous steroids and financial risk taking on a London trading floor (2008) (614)
The GL2 Main Conjecture for Elliptic Curves without Complex Multiplication (2004) (211)
Cortisol shifts financial risk preferences (2014) (207)
Kummer theory for abelian varieties over local fields (1996) (168)
Second-to-fourth digit ratio predicts success among high-frequency financial traders (2009) (153)
From molecule to market: steroid hormones and financial risk-taking (2010) (109)
Fine Selmer groups of elliptic curves over p-adic Lie extensions (2005) (89)
On p-adic L-functions and elliptic units (1978) (85)
Interoceptive Ability Predicts Survival on a London Trading Floor (2016) (83)
Galois Cohomology of Elliptic Curves (2000) (82)
MODULES OVER IWASAWA ALGEBRAS (2001) (81)
Elliptic curves, modular forms & Fermat's last theorem : proceedings of a conference held in the Institute of Mathematics of the Chinese University of Hong Kong (1995) (77)
On l-Adic Zeta Functions (1973) (77)
Iwasawa theory for the symmetric square of an elliptic curve. (1987) (76)
The Hour Between Dog and Wolf: Risk Taking, Gut Feelings and the Biology of Boom and Bust (2012) (76)
Euler characteristics and elliptic curves II (2001) (75)
On the conjecture of Birch and Swinnerton-Dyer (1977) (71)
Construction of rational functions on a curve (1970) (69)
On $p$-adic $L$-functions Attached to Motives over $Q$ (1989) (68)
Cyclotomic Fields and Zeta Values (2006) (66)
An effective p-adic analogue of a theorem of Thue (1969) (62)
An analogue of Stickelberger's theorem for the higherK-groups (1974) (62)
ARITHMETIC MODULI OF ELLIPTIC CURVES (Annals of Mathematics Studies 108) (1986) (59)
Non-abelian Fundamental Groups and Iwasawa Theory (2011) (58)
Integer points on curves of genus 1 (1970) (58)
On K 2 and Some Classical Conjectures in Algebraic Number Theory (1972) (58)
A Note on Trader Sharpe Ratios (2009) (55)
Fragments of the GL2 Iwasawa theory of elliptic curves without complex multiplication (1999) (54)
Winner and loser effects in human competitions. Evidence from equally matched tennis players (2017) (51)
On the algebraic approximation of functions. III (1966) (51)
Computations in non‐commutative Iwasawa theory (2005) (51)
Root numbers, Selmer groups, and non-commutative Iwasawa theory (2010) (49)
On p-adic L-functions attached to motives over ℚ II (1989) (48)
Links Between Cyclotomic and GL2 Iwasawa Theory (2003) (42)
Infinite Descent on Elliptic Curves with Complex Multiplication (1983) (36)
Elliptic Curves with Complex Multiplication and Iswasawa Theory (1991) (36)
Selmer varieties for curves with CM Jacobians (2008) (35)
Algebraic number theory : in honor of K. Iwasawa (1989) (35)
Quadratic twists of elliptic curves (2013) (32)
Onp-adicL-functions over real quadratic fields (1974) (32)
Lectures on the Birch-Swinnerton-Dyer Conjecture (2013) (27)
Fractional parts of powers of rationals (1975) (27)
An effective p-adic analogue of a theorem of Thue III. The diophantine equation $y^2 = x^2 + k$ (1970) (27)
Diophantine approximation on abelian varieties with complex multiplication (1975) (27)
The Main Conjecture (2009) (27)
Euler characteristics and elliptic curves. (1997) (26)
Eisenstein Classes, Elliptic Soulé Elements and the ℓ-Adic Elliptic Polylogarithm (2015) (26)
An application of the division theory of elliptic functions to diophantine approximation (1970) (26)
An effective p-adic analogue of a theorem of Thue II. The greatest prime factor of a binary form (1970) (25)
On the Euler-Poincaré characteristics of finite dimensional p-adic galois representations (2001) (24)
On $p$-adic $L$-functions (1989) (24)
Integrality Properties of the Values of Partial Zeta Functions (1977) (24)
Elliptic curves of conductor 11 (1980) (23)
The hour between dog and wolf : how risk taking transforms us, body and mind (2013) (19)
Iwasawa Theory of Modular Elliptic Curves of Analytic Rank at most 1 (1994) (19)
Euler-Poincaré characteristics of abelian varieties (1999) (19)
L-functions and arithmetic (1991) (17)
SOME REMARKS ON THE MAIN CONJECTURE FOR ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION (1983) (17)
"K-theory and Iwasawa's analogue of the Jacobian" (1973) (17)
On p-Adic L-Functions over Real Quadratic Fields (2005) (15)
L-functions and Arithmetic: Motivic p -adic L -functions (1991) (13)
Combining field work and laboratory work in the study of financial risk-taking (2017) (12)
LOCAL CLASS FIELD THEORY (Oxford Mathematical Monographs) (1988) (12)
On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication (2013) (11)
Noncommutative Iwasawa main conjectures over totally real fields : Münster, April 2011 (2013) (11)
The Bloch-Kato conjecture for the Riemann zeta function (2015) (11)
Linear forms in the periods of the exponential and elliptic functions (1971) (11)
Non-abelian Fundamental Groups and Iwasawa Theory: On the MH(G) -conjecture (2011) (9)
Reply to Millet: Digit ratios and high frequency trading (2009) (8)
Non‐vanishing theorems for central L ‐values of some elliptic curves with complex multiplication (2018) (8)
The symmetric square of an elliptic curve (1997) (8)
Chasing Ghosts?: The Relevance of Certain Secondary or Coincidental NIR Correlations (1996) (8)
An application of the Thue–Siegel–Roth theorem to elliptic functions (1971) (7)
On the Determinantal Approach to the Tamagawa Number Conjecture (2015) (7)
Iwasawa theory of quadratic twists of X0(49) (2018) (6)
Iwasawa algebras and arithmetic (2002) (6)
The Transcendence of Linear Forms in ω 1 , ω 2 , η 1 , η 2 , 2πi (1971) (6)
Non‐commutative Iwasawa theory for modular forms (2012) (6)
The Tate-Shafarevich Group for Elliptic Curves with Complex Multiplication II (2010) (6)
Elliptic Curves - The Crossroads of Theory and Computation (2002) (6)
Fine Selmer groups for elliptic curves with complex multiplication (2005) (6)
Pro-p Extensions of Global Fields and pro-p Groups (2006) (5)
Approximation in algebraic function fields of one variable (1967) (5)
MATHEMATICSOn the Algebraic Approximation of Functions. IV (1967) (5)
– Tensor and homotopy criteria for functional equations of ladic and classical iterated integrals (2012) (5)
Coleman Integration Versus Schneider Integration on Semistable Curves To (2005) (5)
Introduction to the Work of M. Kakde on the Non-commutative Main Conjectures for Totally Real Fields (2013) (5)
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)
The Tate–Shafarevich group for elliptic curves with complex multiplication (2009) (4)
Values of the Riemann Zeta Function at the Odd Positive Integers and Iwasawa Theory (2015) (4)
From mulecule to market (2018) (3)
The Norm Residue Theorem and the Quillen-Lichtenbaum Conjecture (2015) (3)
Congruent numbers (2012) (2)
L-Functions for Unitary Shimura Varieties I : Construction of the Eisenstein Measure To (2005) (2)
Designing the Ideal Process Analyser—Or at Least Making the Attempt (Continued) (1994) (2)
Classical Iwasawa theory and infinite descent on a family of abelian varieties (2020) (2)
Motivic Polylogarithm and Related Classes (2015) (2)
The Comparison Theorem for the Soulé–Deligne Classes (2015) (1)
Designing the Ideal Process Analyser—Or at Least Making the Attempt. Part 1 (1994) (1)
On units related to the arithmetic of elliptic curves with complex multiplication (2005) (1)
Special Values of the Riemann Zeta Function: Some Results and Conjectures (2015) (1)
KENKICHI IWASAWA (1917-1998) (1999) (1)
The Iwasawa theory of totally real fields : from the workshop on the Iwasawa theory of totally real fields, held at the Indian Institute of Technology, Guwahati, September 2008 (2011) (1)
Number theory , ancient and modern (1)
The Biology of ‘Risk-On’. Decreasing Inflammatory and Stress Responses on a London Trading Floor (2018) (1)
Congruent Number Problem (2005) (1)
From Molecule to Market (2018) (1)
Pronunciation and personality : a study of personal factors in German students' pronunciation of English (1986) (1)
Non-abelian Fundamental Groups and Iwasawa Theory: Preface (2011) (0)
News about Roots of Unity (2004) (0)
Iwasawa theory of quadratic twists of X0(49) (2017) (0)
CLASSICAL IWASAWA THEORY ARIZONA WINTER SCHOOL 2018 (2018) (0)
Explicit reciprocity laws (2019) (0)
A BRIEF ACCOUNT OF THE HISTORY OF EXACT FORMULAE IN ARITHMETIC GEOMETRY (2020) (0)
N ov 2 00 6 Generalized logarithmic derivatives for K n (2019) (0)
L-functions and Arithmetic: Preface (1991) (0)
Kurt Mahler, 26 July 1903 - 26 February 1988 (1994) (0)
Classical Iwasawa theory and infinite descent on a family of abelian varieties (2021) (0)
The Effect of COVID-19 on the Postdoctoral Experience: a comparison of pre-pandemic and pandemic surveys (2021) (0)
Non-abelian fundamental groups in arithmetic geometry : final report 1 (2010) (0)
Soulé's Theorem (2015) (0)
Soulé's Regulator Map (2015) (0)
L-functions and Arithmetic: Participants (1991) (0)
Regulators and Zeta-functions (2015) (0)
New Prize " Ems Monograph Award " by the Ems Publishing House European Mathematical Society Editor-in-chief Copy Editor (2013) (0)
Euler's work on Zeta and L -functions and their special values (2008) (0)
Kenkichi Iwasawa ( 1917 – 1998 ) John Coates (1999) (0)
This paper was presented at a colloquium entitled ‘ ‘ Elliptic Curves and Modular Forms , ’ ’ organized by Barry Mazur (1997) (0)
Guwahati Workshop on Iwasawa Theory of Totally Real Fields (2010) (0)
1 On the leading terms of Zeta isomorphisms and p-adic L-functions in non-commutative Iwasawa theory Dedicated to (0)

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