Ezra Brown | Academic Influence

Ezra Brown's AcademicInfluence.com Rankings

Ezra Brown

Mathematics

#5297

World Rank

#7467

Historical Rank

Algebraic Geometry

#241

World Rank

#252

Historical Rank

Geometry

#214

World Rank

#297

Historical Rank

Number Theory

#312

World Rank

#390

Historical Rank

mathematics Degrees

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Mathematics

Ezra Brown's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Stanford University

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Why Is Ezra Brown Influential?

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According to Wikipedia, Ezra Abraham "Bud" Brown is an American mathematician active in combinatorics, algebraic number theory, elliptic curves, graph theory, expository mathematics and cryptography. He spent most of his career at Virginia Tech where he is now Alumni Distinguished Professor Emeritus of Mathematics.

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Ezra Brown'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

Sets in which $xy+k$ is always a square (1985) (106)
Doubly Regular Tournaments are Equivalent to Skew Hadamard Matrices (1972) (103)
The 2-class group of certain biquadratic number fields. (1977) (35)
Elliptic Curves from Mordell to Diophantus and Back (2002) (33)
Class numbers of complex quadratic fields (1974) (24)
Class numbers of real quadratic number fields (1974) (18)
Kirkman's Schoolgirls Wearing Hats and Walking through Fields of Numbers (2009) (18)
The 2-class group of biquadratic fields. II (1978) (16)
Why Ellipses Are Not Elliptic Curves (2012) (15)
The Many Names of (7, 3, 1) (2002) (13)
The power of 2 dividing the class-number of a binary quadratic discriminant (1973) (12)
Three Fermat Trails to Elliptic Curves (2000) (11)
The Class Number of Q(√- p), for p ≡1 (mod 8) A Prime (1972) (10)
Magic Squares, Finite Planes, and Points of Inflection on Elliptic Curves (2001) (10)
The Fabulous (11, 5, 2) Biplane (2004) (9)
The class number and fundamental unit of Q(√2p), for p ≡ 1 (mod 16) a prime (1983) (9)
Binary quadratic forms of determinant −pq (1972) (9)
Quadratic forms and biquadratic reciprocity. (1972) (9)
Cycles of directed graphs defined by matrix multiplication (mod n) (2001) (9)
Why is PSL(2,7)≅ GL(3,2)? (2009) (8)
Whodunit? (2007) (8)
x4 + dx2y2 + y2= z2: Some cases with only trivial solutions—and a solution Euler missed (1989) (8)
Square Roots from 1; 24, 51, 10 to Dan Shanks (1999) (8)
The First Proof of the Quadratic Reciprocity Law, Revisited (1981) (6)
A theorem on biquadratic reciprocity (1971) (6)
Representations of discriminantal divisors by binary quadratic forms. (1971) (6)
Diophantine equations of the form x2 + D = yn. (1975) (6)
Fibonacci's Forgotten Number (2008) (5)
A Dozen Hat Problems (2009) (5)
Biscuits of Number Theory (2008) (5)
Diophantine eaquations of the form ax2 + Db2 = yp. (1977) (4)
Corrections to the paper "Quasiperfect numbers" (1976) (4)
Circularity of graphs and continua: topology (1981) (4)
Social Relativity: The Motion of Groups and Actors* (1981) (4)
Periodic seeded arrays and automorphisms of the shift (1993) (4)
Commutativity and collinearity: a historical case study of the interconnection of mathematical ideas. Part I (2016) (3)
Biquadratic reciprocity laws (1973) (3)
Hyperelliptic Curves with Compact Parameters (2005) (3)
Partitions of bi-partite numbers into at mostj parts (1992) (3)
The Archimedes Codex: How a Medieval Prayer Book is Revealing the True Genius of Antiquity's Greatest Scientist (2009) (2)
The diophantine equation x2 + 3 = 7n. (1976) (2)
Early Astronomy. By Hugh Thurston (1997) (2)
DIRECTED GRAPHS DEFINED BY ARITHMETIC ( MOD n ) (1996) (2)
The class number of (√-), for ≡1(8) a prime (1972) (2)
Chocolate Key Cryptography. (2010) (2)
Discriminantal divisors and binary quadratic forms (1972) (2)
Configurations with Subset Restrictions (2004) (2)
The Many Names of ( 7 , 3 , 1 ) EZRA BROWN (2002) (1)
Commutativity and collinearity: a historical case study of the interconnection of mathematical ideas. Part II (2016) (1)
Brown's Law of Mathematical Eponymy; or, Whose Theorem is It Anyway? (2022) (1)
Class numbers of imaginary qudratic fields having exactly three discriminantal divisors. (1973) (1)
A class of planar four-colorable graphs (1972) (1)
A Conversation with Leonardo Pisano (2005) (1)
Some euclidean properties for real quadratic fields (1986) (1)
Five Families Around a Well: A New Look at an Old Problem (2018) (1)
Why Hamilton Couldn’t Multiply Triples (2021) (1)
Many More Names of (7, 3, 1) (2015) (1)
Generalizing Gauss's Gem (2012) (0)
Trigonometry without Triangles (2011) (0)
The Ancient World's Magical Genius Thinks BIG (2004) (0)
Phoebe Floats! (2005) (0)
On Nonassociative Division Rings and Projective Planes (2000) (0)
Why Ellipses Are Not Elliptic Curves ADRIAN RICE (2012) (0)
A New Testament for the Book of Numbers (2009) (0)
The Structure of the Class Group of Imaginary Quadratic Fields (2005) (0)
A Conversation with Lewis Carroll (2006) (0)
A Conversation with Archimedes (2010) (0)
The Sliding Ladder (2003) (0)
The class number of $Q(\surd -p)$, for $P\equiv 1 ({\rm mod}\ 8)$ a prime (1972) (0)
Through the Upside Down: Ibn Al-Haytham and the Camera Obscura (2019) (0)
Saints and Scoundrels and Two Theorems That Are Really the Same (2015) (0)
MD-DC-VA Section MAA Spring 2008 Meeting at EMU and JMU (2008) (0)
A Mathematical Trip to Princeton (2010) (0)
An Accessible Proof of Hurwitz’s Sums of Squares Theorem (2022) (0)
George Pólya Awards (2008) (0)

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What Schools Are Affiliated With Ezra Brown?

Ezra Brown is affiliated with the following schools: