SelectedWorks - Andrew Shallue

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Selected Works of Andrew Shallue

Associate Professor of Mathematics

Professor Shallue began teaching at IWU in Fall 2009. His research area is algorithmic number theory and its applications to cryptography.

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About Andrew Shallue

Professor Shallue began teaching at IWU in Fall 2009. His research area is algorithmic number theory and its applications to cryptography.

Present	Associate Professor of Mathematics, Illinois Wesleyan University
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Mathematics and Number Theory

Algorithmic Number Theory, Elliptic Curves, Randomized Algorithms, and Cryptography

Spring 2012 ASD Grant
Spring 2011 ASD Grant
Fall 2009 CD Grant to Develop New Course
Project NExT Fellow 2009-2010
Spring 2015 ASD Grant
Summer 2014 advisor for Tom Simmons's Eckley Fellowship
Fall 2013 information literacy grant through Mellon Center (with Crystal Boyce)

CNS C208A
Illinois Wesleyan University
Bloomington, IL 61702-2900
(309) 556-3587

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Tabulating pseudoprimes and tabulating liars

(2016)

Andrew Shallue

This paper explores the asymptotic complexity of two problems related to the Miller-Rabin-Selfridge primality test. The first problem is to tabulate strong ...

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Article

Constructing Carmichael numbers through improved subset-product algorithms

Mathematics of Computation (2014)

W.R. Alford, Jon Grantham, Steven Hayman and Andrew Shallue

We have constructed a Carmichael number with 10,333,229,505 prime factors, and have also constructed Carmichael numbers with prime factors for every between ...

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Algorithmic Number Theory (2008)

Andrew Shallue

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Algorithmic Number Theory : 7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006 : proceedings (2006)

Andrew Shallue and Christiaan E. van de Woestijne

We give a deterministic polynomial-time algorithm that computes a nontrivial rational point on an elliptic curve over a finite field, ...

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Presentation

Constructing Large Numbers with Cheap Computers

Illinois State University Discrete Math Seminar, November 2011 (2011)

Andrew Shallue and Steven Hayman

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Other

A Computational Study of Icart's Function

(2015)

Andrew Shallue and Thomas Simmons, '15

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Two Number-Theoretic Problems That Illustrate the Power and Limitations of ...

(2007)

Andrew Shallue

This thesis contains work on two problems in algorithmic number theory. The first problem is to give an algorithm that ...

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About Andrew Shallue

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Papers under review (1)

Peer Reviewed Publications (3)

Presentations (1)

Faculty Advisor of Undergraduate Research (2)