Andrew Shallue

Andrew Shallue is a Professor of Mathematics at Illinois Wesleyan University (IWU), where he has taught since Fall 2009. His research focuses on algorithmic number theory and cryptographic applications, with particular expertise in Carmichael numbers, pseudoprimes, and primality testing algorithms.

Professor Shallue's research explores the computational aspects of number theory with direct applications to cryptography. His work includes developing efficient algorithms for tabulating Carmichael numbers and analyzing liar counts in primality tests, contributing to the mathematical foundations of cryptographic security systems. His methodologies combine theoretical number theory with practical computational techniques to solve complex problems in pseudoprime identification and factorization.

His recent publications demonstrate a consistent focus on advancing tabulation methods for special number classes. The research trajectory shows increasing sophistication in handling Carmichael numbers with specific prime structures (2022-2025), building upon foundational work in pseudoprime tabulation (2016). Key thematic developments include optimizing computational efficiency for large-scale number-theoretic calculations and establishing error bounds for probabilistic primality tests.

• Fall 2009 CD Grant to Develop New Course
• Fall 2013 information literacy grant through Mellon Center (with Crystal Boyce)
• Project NExT Fellow 2009-2010
• Spring 2011 ASD Grant
• Spring 2012 ASD Grant

Professor Shallue teaches advanced mathematics courses including Algorithmic Number Theory, Analysis II, Computational Discrete Mathematics, and Modern Algebra. His course development grants reflect his commitment to integrating research into undergraduate education and enhancing information literacy within mathematical curricula. His Project NExT fellowship indicates active engagement with national mathematics education initiatives.