Bryan John Birch | Academic Influence

Bryan John Birch's AcademicInfluence.com Rankings

Bryan John Birch

Mathematics

#1218

World Rank

#2038

Historical Rank

Measure Theory

#2588

World Rank

#3102

Historical Rank

mathematics Degrees

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Mathematics

Bryan John Birch's Degrees

PhD Mathematics University of Oxford

Why Is Bryan John Birch Influential?

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According to Wikipedia, Bryan John Birch FRS is a British mathematician. His name has been given to the Birch and Swinnerton-Dyer conjecture. Biography Bryan John Birch was born in Burton-on-Trent, the son of Arthur Jack and Mary Edith Birch. He was educated at Shrewsbury School and Trinity College, Cambridge. He married Gina Margaret Christ in 1961. They have three children.

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Bryan John Birch'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

Modular Functions of One Variable IV (1975) (406)
Notes on elliptic curves. II. (1963) (369)
Forms in many variables (1962) (249)
Notes on elliptic curves. I. (1963) (221)
How the Number of Points of An Elliptic Curve Over a Fixed Prime Field Varies (1968) (169)
Incomplete Kloosterman sums and a divisor problem (1985) (103)
Homogeneous forms of odd degree in a large number of variables (1957) (90)
The parity of the rank of the mordell-weil group (1966) (78)
Ellitpic curves and modular functions (1975) (75)
Finiteness Theorems for Binary Forms with Given Discriminant (1972) (74)
On a problem of Chowla (1973) (71)
On 3N points in a plane (1959) (65)
Note on a problem of Chowla (1959) (63)
Indefinite quadratic forms in many variables (1956) (56)
The Hasse problem for rational surfaces. (1975) (56)
A look back at Ramanujan's Notebooks (1975) (55)
Weber's class invariants (1969) (50)
The Grothendieck theory of dessins d'enfants: Noncongruence Subgroups, Covers and Drawings (1994) (35)
The Behaviour of Linear Systems with Inputs satisfying certain Bounding Conditions (1959) (30)
Simultaneous Quadratic Forms (1962) (29)
On the orbit-sizes of permutation groups containing elements separating finite subsets (1976) (27)
Note on a problem of Erdős (1959) (27)
On a theorem of Davenport, and Heilbronn (1958) (26)
LECTURES ON FORMS IN MANY VARIABLES (1970) (26)
On the inhomogeneous minimum of the product of n linear forms (1956) (26)
Quadratic equations in several variables (1958) (23)
Heegner Points: the Beginnings (2004) (18)
The addition of norm forms (1962) (17)
The inhomogeneous minimum of quadratic forms of signature zero (1958) (17)
A CRITERION FOR THE p-ADIC SOLUBILITY OF DIOPHANTINE EQUATIONS (1967) (16)
Multiplicative Functions with Non-Decreasing Normal Order (1967) (16)
The Collected Works Of Harold Davenport (1977) (16)
Waring's problem in algebraic number fields (1961) (15)
Some Calculations of Modular Relations (1973) (13)
Hecke actions on classes of ternary quadratic forms (1991) (12)
Waring's problem for p-adic number fields (1964) (10)
Small Zeros of Diagonal Forms of Odd Degree in Many Variables (1970) (9)
Systems of three quadratic forms (1965) (9)
Diagonal equations over p-adic fields (1964) (8)
Note on Weyl's inequality (1962) (6)
C. P. RAMANUJAM—A TRIBUTE (1981) (6)
ρ-Adic Forms (1959) (6)
On games with almost complete information (1955) (5)
Appendix: On Some Exponential Sums (1985) (4)
A Transference Theorem of the Geometry of Numbers (1956) (4)
Sources and reliability of the tables (1975) (3)
PROCEEDINGS OF A CONFERENCE ON LOCAL FIELDS “ NUFFIC ” SUMMER SCHOOL HELD AT DRIEBERGEN (THE NETHERLANDS) IN 1966 (1969) (3)
Dividing the Primes into Two Subsets with Nearly the Same Number of Products (1993) (3)
Tracking down translations (1979) (2)
When does an affine curve have an algebraic integer point? (1985) (2)
Modular functions of one variable : proceedings, International Summer School, University of Antwerp, RUCA, July 17-August 3, 1972 (1973) (1)
In lieu of birthday greetings (2003) (1)
On ${\germ p}$-adic forms. (1962) (1)
Heegner Points and Rankin L -Series: Correspondence (2004) (1)
Another transference theorem of the geometry of numbers (1957) (1)
Computers in number theory : proceedings of the Science Research Council Atlas Symposium no. 2 held at Oxford, from 18-23 August, 1969 (1971) (0)
Shabat trees of diameter 4: appendix to a paper of Zvonkin (2009) (0)
Unpublished Tiffany Manuscripts (2013) (0)
Correspondence between Bryan Birch and Benedict Gross (2004) (0)
Albrecht Fröhlich. 22 May 1916 – 8 November 2001 (2005) (0)
The inhomogeneous minimum of an indefinite quadratic form (1959) (0)
Basic ingredients of success for community trusts. (1993) (0)
Memorial Tribute: Peter Swinnerton-Dyer (1927–2018) (2019) (0)
The Discovery of the Conjecture of Birch and Swinnerton-Dyer (1969) (0)
Peter Swinnerton-Dyer (1927–2018) (2019) (0)
Remarks on isogenies (1975) (0)

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