Professor Emeritus, Arizona State
University, Tempe, AZ, 2022-present
Professor of Mathematics, Arizona State
University, Tempe, AZ, 2008-2022
Associate Professor of Mathematics, Arizona State
University, Tempe, AZ, 1996-2008
Associate Chair for Undergraduate Studies,
Department of Mathematics, Arizona State
University, Tempe, AZ, 1999-2001
Assistant Professor of Mathematics, Arizona State
University, Tempe, AZ, 1990-1996
Malcolm and Minda Brachman Instructor of Mathematics in Honor of
R. H. Bing, University of Texas, Austin, TX, 1987-1990
Ph.D. in Mathematics, Harvard University, Cambridge, MA,
A.B., University of California, Berkeley,
Honors and Awards
Charles Wexler Teaching Award, for
distinguished teaching of mathematics, Arizona State University,
Teaching Commendation, from the
Harvard-Danforth Center for Teaching and Learning for
excellence in the teaching of undergraduates, Harvard
Topics in Iwasawa Theory, National Science
Foundation, (PI), 1991-93, $41,725.
Conference on Arithmetic Geometry with Emphasis
in Iwasawa Theory; Tempe, Arizona; March 1993,
National Science Foundation, (co-PI, PI Nancy Childress),
Implementation and Dissemination of the Harvard
Consortium Calculus Materials , National Science
Foundation (through University of Arizona),
(local co-PI, local PI Matthias Kawski), 1993-96,
5 institution-total $804,778, ASU share $82,187.
Undergraduate Number Theory,National Science
Foundation (through Michigan Technological
University, and then through Randolph-Macon College), (local
PI), 1996-99, 2 institution total $79,542, ASU share $37,805.
A Discovery Approach to Abstract Algebra, Arizona
State University, College of Liberal Arts and Sciences, (PI),
Number Theory and the Scientific Method, ACEPT, (PI,
Andrew Bremner Co-PI), 1998, $5000.
On-line homework component / Business
Math I and II, Arizona
State University, College of Liberal Arts and Sciences, (Co-PI,
with PI Lance Ward, other Co-PI's Sharon Walker, Jay Abramson,
and Scott Martin), 2001 - 2002, $7500.
Web-Based Math Homework, National Science
Foundation, (PI, Matthew Isom Co-PI), 2002-05, $149,984.
Collaborative Project: A Comprehensive WeBWorK Problem Library
(with Bill Ziemer, California State Long Beach University, and Jeff Holt,
University of Virginia),
National Science Foundation, PI, 2004-07, (3 institution total, $179,889),
ASU grant $46,315.
Collaborative Research: Updating the WeBWorK National Problem Library
(with Jeff Holt, University of Virginia), National Science Foundation, PI,
2012-2015, (2 institution total, $323,579), ASU portion $162,303.
Connections between curves, automorphic forms, and L-functions,
National Science Foundation, PI, 2013-2014, $45,000.
M.A., May 1996,
Galois groups of irreducible tredecic polynomials.
M.A., August 1996,
Computation of the Mordell-Weil group on
rank 1 elliptic curves using Heegner points.
M.A., May, 1998,
A survey of techniques in cryptanalysis.
M.A., May, 2001,
Attacks on the discrete logarithm problem.
M.A., December, 2003,
Elliptic curve primality proving algorithm.
Joshua Kantor, B.S. May, 2003, Hecke operators and the Hecke
Ph.D., co-chair with Marilyn Carlson, May, 2004,
Supporting the guided reinvention of the
concepts of group and isomorphism: a developmental research project.
Phong Chau, M.A. May 2004.
John Kerl, M.A. May 2005,
Curves and codes.
Annette Spyker, B.S. May 2006, Success rates of the Rabin-Miller
test for known composite numbers.
Helene Nehrebecki, M.A. May 2006.
Eric Driver, Ph.D. December 2006, A targeted Martinet search.
Rachel Wallington, M.A. May 2004; Ph.D. May 2009,
Number fields with solvable Galois groups and small Galois
Chad Awtrey, Ph.D. May 2010,
Dodecic local fields.
Peter Price, M.A. May 2013.
Andrew Altman, M.A. May 2014.
Benjamin Carrillo, Ph.D., co-chair with Andrew Bremner, May 2019,
On K-derived quartics and invariants of local fields.