Papers

    Research:

  1. Using Continued Fractions to Compute Iwasawa Lambda Invariants of Imaginary Quadratic Fields (in preparation)
  2. Generalizations of Iwasawa's 'Riemann-Hurwitz' Formula for Cyclic p-Extensions of Number Fields (arXiv Preprint, submitted to IJNT)
  3. An Alternative Proof and Generalization of Ferrero's Computations of Iwasawa λ-Invariants (arXiv Preprint, submitted to JNT)
  4. The Change in Lambda Invariants for Cyclic p-Extensions of Zp-Fields (Ph.D. Thesis, ProQuest Dissertation Publishing)
  5. Lehmer's Totient Problem and Carmichael Numbers in a PID (Undergraduate Senior Thesis)

    Expository:

  1. Hilbert Functions
  2. The Lower Algebraic K-Groups
  3. Sheaf Cohomology
  4. Bernoulli Numbers
  5. Quadratic Reciprocity
  6. Periodic Continued Fractions
  7. Miller's Primality Test and Artin's Constant (Fortran code)
  8. Møller Energy and Wormholes

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