Algebraic number theory, p-adic analysis, and function field arithmetic are Dr. Timothy All's areas of expertise. He has extensive experience with the use of technology in the classroom, including Maple and Mathematica. Dr. All has joined the department full time after splitting time as a visiting professor at Rose-Hulman and Wabash College, and being a summer lecturer at The Ohio State University. He has made presentations at the 2015 Midwest Number Theory Conference and 2016 Rose-Hulman Undergraduate Mathematics Conference.

Teaching Interests

  • Calculus, differential Equations, and linear algebra
  • Real and complex analysis
  • Abstract algebra
  • Number theory and cryptography

Research Interests

  • The structure and growth of class and unit modules in towers of global fields
  • Algebraic number theory
  • Analysis of p-adic measures and distributions
  • Fourier analysis on profinite groups
  • Iwasawa Theory
  • Function Field Arithmetic
  • Ring and lattice based public key cryptography

Select Publications & Presentations

  • “On a Construction of C^1(Z_p) Functionals from Z_p-extensions of Algebraic Number Fields,” Journal de Théorie des Nombres, Upcoming publication
  • “On Stickelberger Elements for Q(\zeta_{p^{n+1}})^+ and p-adic L-functions,” Journal of Number Theory, 160, 287-306, 2016
  • “On the p-adic Completion of the Units of a Real Abelian Number Field,” Journal of Number Theory, 136, 1-21, 2014
  • “NTRU: How Abstract Algebra is Keeping Your Data Safe,” Rose-Hulman Institute of Technology Undergraduate Mathematics Conference
  • “p-adic Analysis and Galois Theory,” Ross Mathematics Program
  • “A Brief and Very Selective History of Mathematics,” Rose-Hulman Institute of Technology Mathematics Seminar

Academic Degrees

  • PhD, The Ohio State University
  • BA, The Ohio State University
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