Publications

  1. K. Allen and J. Maglione, “Tails of Generalized Ranks”, in preparation.
  2. K. Allen and W. Craig, “Integer partitions, primes, and integer factorization”, in preparation.
  3. K. Allen, R. Osburn and M. Storzer, “Generalized rank deviations for overpartitions”, accepted for publication in Illinois Journal of Mathematics.
  4. K. Allen and R. Osburn, “Unimodal sequences and mixed false theta functions” , Advances in Mathematics, 473 (2025).
  5. K. Allen and J. Sheekey, On translation hyperovals in semifield planes , Designs, Codes and Cryptography, 93 (2025), 429–442.



Theses

  • PhD Mathematics: "q-Series and Modularity"
  • MSc Mathematical Science: "Hyperovals, Semifields and Cherowitzo's Conjecture"
  • BSc Mathematics: "Semifields: A Classification Problem"