People

Brian Sinclair

Brian Sinclair

M.A. Alumni
Ph.D. Alumni

Position After Graduation: Applied Research Mathematician with the National Security Agency (NSA)

Education

Degree(s): M.A. in Mathematics, UNCG (2008), Ph.D. in Computational Mathematics, UNCG (2015)
Dissertation: Algorithms for Enumerating Invariants and Extensions of Local Fields
Ph.D. Advisor(s): Sebastian Pauli

Research

Member of the Research Group(s): Number Theory

Selected Publications

  • Enumerating Extensions of (π)-Adic Fields with Given Invariants with Sebastian Pauli — TABLES
  • Constructing Splitting Fields of Polynomials over Local Fields with Jonathan Milstead and Sebastian Pauli in Jan Rychtar, Sat Gupta, Ratnasingham Shivaji, and Maya Chhetri (Editors), Topics from the 9th Annual UNCG Regional Mathematics and Statistics, Springer Verlag
  • Counting extensions of p-adic fields with given invariants, 2015. arXiv: 1512.06946.