Katherine E. Stange | Academic Influence

Katherine E. Stange's AcademicInfluence.com Rankings

Katherine E. Stange

Mathematics

#2580

World Rank

#3956

Historical Rank

#1014

USA Rank

Measure Theory

#4151

World Rank

#4889

Historical Rank

#1170

USA Rank

mathematics Degrees

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Mathematics

Katherine E. Stange's Degrees

Bachelors Mathematics Princeton University

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Why Is Katherine E. Stange Influential?

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According to Wikipedia, Katherine E. Stange is a Canadian-American mathematician and an associate professor of mathematics at the University of Colorado Boulder. She is a number theorist specializing in topics in arithmetic geometry.

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Katherine E. Stange'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

Provably Weak Instances of Ring-LWE (2015) (91)
The Tate Pairing Via Elliptic Nets (2007) (52)
Attacks on Search RLWE (2015) (36)
Amicable Pairs and Aliquot Cycles for Elliptic Curves (2009) (33)
Elliptic nets and elliptic curves (2007) (32)
Vulnerable Galois RLWE Families and Improved Attacks (2016) (31)
The Elliptic Curve Discrete Logarithm Problem and Equivalent Hard Problems for Elliptic Divisibility Sequences (2008) (28)
The Apollonian structure of Bianchi groups (2015) (26)
Security Considerations for Galois Non-dual RLWE Families (2016) (25)
Improved Torsion-Point Attacks on SIDH Variants (2020) (21)
Attacks on the Search-RLWE problem with small errors (2017) (21)
Terms in elliptic divisibility sequences divisible by their indices (2010) (17)
Pairings on hyperelliptic curves (2009) (17)
Integral Points on Elliptic Curves and Explicit Valuations of Division Polynomials (2011) (17)
Arithmetic properties of the Frobenius traces defined by a rational abelian variety (with two appendices by J-P. Serre) (2015) (16)
Weak instances of SIDH variants under improved torsion-point attacks (2020) (15)
Ring-LWE Cryptography for the Number Theorist (2015) (15)
How to Make the Most of a Shared Meal: Plan the Last Bite First (2011) (15)
Local-global principles in circle packings (2017) (14)
ALGEBRAIC DIVISIBILITY SEQUENCES OVER FUNCTION FIELDS (2011) (14)
Standards-based Grading in an Introduction to Abstract Mathematics Course (2018) (14)
Visualising the arithmetic of imaginary quadratic fields (2014) (12)
Algebraic aspects of solving Ring-LWE, including ring-based improvements in the Blum-Kalai-Wasserman algorithm (2019) (10)
The sensual Apollonian circle packing (2012) (9)
Index Divisibility in Dynamical Sequences and Cyclic Orbits Modulo $p$ (2016) (8)
Failing to hash into supersingular isogeny graphs (2022) (6)
Monogenic fields arising from trinomials (2019) (4)
A family of monogenic S4 quartic fields arising from elliptic curves (2017) (4)
The dynamics of Super-Apollonian continued fractions (2017) (4)
Orienteering with one endomorphism (2022) (4)
Algebraic Number Starscapes (2020) (3)
Notes on Bhargava ’ s composition laws (2014) (2)
A duality principle for selection games (2011) (2)
Visualising the arithmetic of quadratic imaginary fields (2014) (2)
Directions in Number Theory (2016) (1)
Orientations and cycles in supersingular isogeny graphs (2022) (1)
An arborist's guide to the rationals (2014) (1)
1 The spin homomorphism SL 2 ( C ) → SO 1 , 3 ( R ) A summary from multiple sources (2014) (0)
ELLIPTIC NETS AND POINTS ON ELLIPTIC CURVES (2007) (0)
An illustration in number theory (1969) (0)
Algebra & Number Theory (2011) (0)
Standards Based Grading in a First Proofs Course (2016) (0)
The Farey Structure of the Gaussian Integers (2016) (0)
Quadratic forms, lattices, and ideal classes (2021) (0)
Factoring using multiplicative relations modulo n: a subexponential algorithm inspired by the index calculus (2022) (0)
The Ingenious Physical Factoring Devices of D.N. Lehmer (2022) (0)
MATHEMATICS 3110, SPRING 2019 SOME MOTIVATIONAL PROBLEMS IN NUMBER THEORY (2017) (0)
Visualizing imaginary quadratic fields (2016) (0)
The average elliptic curve has few integral points (2014) (0)
CRYPTOGRAPHY FOR THE NUMBER THEORIST (2015) (0)
Circle packings, thin orbits and the arithmetic of imaginary quadratic fields (2017) (0)
Character Sums with Division Polynomials (2009) (0)
The average elliptic curve has few integral (2014) (0)

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What Schools Are Affiliated With Katherine E. Stange?

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