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Employment
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Professor Emeritus, Arizona State
University, Tempe, AZ, 2022-present
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Professor of Mathematics, Arizona State
University, Tempe, AZ, 2008-2022
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Associate Professor of Mathematics, Arizona State
University, Tempe, AZ, 1996-2008
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Associate Chair for Undergraduate Studies,
Department of Mathematics, Arizona State
University, Tempe, AZ, 1999-2001
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Assistant Professor of Mathematics, Arizona State
University, Tempe, AZ, 1990-1996
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Malcolm and Minda Brachman Instructor of Mathematics in Honor of
R. H. Bing, University of Texas, Austin, TX, 1987-1990
Education
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Ph.D. in Mathematics, Harvard University, Cambridge, MA,
1983-1987
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A.B., University of California, Berkeley,
CA, 1979-1983
Honors and Awards
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Charles Wexler Teaching Award, for
distinguished teaching of mathematics, Arizona State University,
1998.
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Teaching Commendation, from the
Harvard-Danforth Center for Teaching and Learning for
excellence in the teaching of undergraduates, Harvard
University, 1986.
Grant Support
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Topics in Iwasawa Theory, National Science
Foundation, (PI), 1991-93, $41,725.
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Conference on Arithmetic Geometry with Emphasis
in Iwasawa Theory; Tempe, Arizona; March 1993,
National Science Foundation, (co-PI, PI Nancy Childress),
1993, $8,000.
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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.
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Revitalizing
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.
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A Discovery Approach to Abstract Algebra, Arizona
State University, College of Liberal Arts and Sciences, (PI),
1998-99, $3051.
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Number Theory and the Scientific Method, ACEPT, (PI,
Andrew Bremner Co-PI), 1998, $5000.
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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.
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Web-Based Math Homework, National Science
Foundation, (PI, Matthew Isom Co-PI), 2002-05, $149,984.
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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.
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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.
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Connections between curves, automorphic forms, and L-functions,
National Science Foundation, PI, 2013-2014, $45,000.
Students
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Nancy Seguin,
M.A., May 1996,
Galois groups of irreducible tredecic polynomials.
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John Dollarhide,
M.A., August 1996,
Computation of the Mordell-Weil group on
rank 1 elliptic curves using Heegner points.
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Brandon Baldock,
M.A., May, 1998,
A survey of techniques in cryptanalysis.
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Nathan Wilson,
M.A., May, 2001,
Attacks on the discrete logarithm problem.
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Andres Garcia,
M.A., December, 2003,
Elliptic curve primality proving algorithm.
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Joshua Kantor, B.S. May, 2003, Hecke operators and the Hecke
algebra.
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Sean Larsen,
Ph.D., co-chair with Marilyn Carlson, May, 2004,
Supporting the guided reinvention of the
concepts of group and isomorphism: a developmental research project.
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Phong Chau, M.A. May 2004.
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John Kerl, M.A. May 2005,
Curves and codes.
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Annette Spyker, B.S. May 2006, Success rates of the Rabin-Miller
test for known composite numbers.
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Helene Nehrebecki, M.A. May 2006.
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Eric Driver, Ph.D. December 2006, A targeted Martinet search.
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Rachel Wallington, M.A. May 2004; Ph.D. May 2009,
Number fields with solvable Galois groups and small Galois
root discriminants.
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Chad Awtrey, Ph.D. May 2010,
Dodecic local fields.
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Peter Price, M.A. May 2013.
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Andrew Altman, M.A. May 2014.
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Benjamin Carrillo, Ph.D., co-chair with Andrew Bremner, May 2019,
On K-derived quartics and invariants of local fields.
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