BIOGRAPHICAL SKETCH
William Gordon McCallum
Department of Mathematics
University of Arizona
Tucson, AZ 85721
a. Professional Preparation
Harvard University
University of New South Wales, Sydney
Mathematics
Mathematics
Ph.D, 1984
B.Sc., 1977
b. Appointments
Fall 2000
19961996-2000
Jul 1996
1995-96
Jul 1995
1993-94
Jan-Jun 1991
1990-96
1986-90
1986-87
1984-86
1982-83
Visitor, Institut des Hautes Etudes Scientifiques, France
Professor of Mathematics, University of Arizona
Associate Head, Mathematics, University of Arizona
Visitor, Institut des Hautes Etudes Scientifiques, France
Fellow, Institute for Advanced Study
Visitor, University of Bordeaux I, Talence
Visitor, Institut des Hautes Études Scientifiques, Bures sur Yvette
Visiting Lecturer, Macquarie University, Sydney
Associate Professor of Mathematics, University of Arizona
Assistant Professor of Mathematics, University of Arizona
Fellow, Mathematical Sciences Research Institute (MSRI), Berkeley
Visiting Lecturer, University of California, Berkeley
Research Assistantship, Harvard University
c. Publications
W. McCallum, The Shafarevich-Tate group of the Jacobian of a quotient of the Fermat curve, Invent.
Math. 93, 37-66 (1988)
W. McCallum, and R. Coleman, Stable reduction of Fermat curves and Jacobi Sum Hecke characters, J.
reine angew. Math. 385, 41-02 (with R. Coleman) (1988)
W. McCallum, Kolyvagin's Work on Shafarevich-Tate Groups, "L-Functions and Arithmetic, Proc. Durham
Symp. Jul 1999", J. Coates and M.J. Taylor, eds., pp 295-316, Cambridge University Press,
Cambridge, 1991.
W. McCallum, On the Method of Coleman and Chabauty, Math. Ann. 299, 565-596 (1994)
W. McCallum, The Goals of the Calculus Course, "Calculus Renewal: Issues for Undergraduate
Mathematics
Education in the Next Decade,'' Susan L. Ganter (Editor), Plenum Press, 2000.
W. McCallum, Greenberg's Conjecture and Units in Multiple Zp-extensions, American Journal of
Mathematics
123, 909–930 (2001).
W. McCallum and Romyar Sharifi, A cup product in the Galois cohomology of number fields,
Duke Math J. 120, 269–310 (2003).
W. McCallum, Thinking Out of the Box, in ``Computer Algebra Systems in Secondary School Mathematics
Education,'' James T. Fey (ed.), NCTM, 2003.
W. McCallum, Promoting Work on Education in Mathematics Departments, Notices of the AMS,
October, 2003.
W. McCallum and P. Tzermias, On Shafarevich-Tate Groups of Fermat Jacobians, in Number Theory and
Algebraic Geometry, Alexei Skorobogatov and Miles Reid (eds), LMS Lecture Note Series 303,
Cambridge University Press, 2003.
d. Synergistic Activities
2004–
2004–
2003–
Chair, American Mathematical Society Committee on Education
Advisory Board, Center for the Study of Mathematics Curriculum, Michigan State University
Mathematics working group for University of Michigan School of Education project "Learning
Mathematics for Teaching"
2002–
Director, NSF grant for the Vertical Integration of Graduate Research and Education;
Chair, College of Science Millennium Project Oversight Committee, formed to promote
diversity within the college; Advisory Board for revisions to the NSF-funded high school
curriculum, Contemporary Mathematics in Context; AMS Committee on Education
2001–
Curriculum Policy Workshop on Preparation of Math Majors in the First Two Years, MSRI
(chair of organizing committee)
2000–
Advisory Board for revisions to the NSF funded elementary school curriculum, Investigations
in Number, Data, and Space
1999-2003 NSF-funded project "The Mathematics of Decision Making", materials for business majors
e. Collaborators & Other Affilliations
i. Collaborators: D. Ulmer, M. Kim, D. Thakur, P. Voloch, A. Buium, W. Raskind, R. Sharifi, P.
Tzermias
ii. Graduate and Post Doctoral Advisors: Barry Mazur
iii. Thesis Advisor and Postgraduate-Scholar Sponsor: Matthew Klassen, Cheryl Delorme, David
Marshall, Fahd al-Shammari, Alexander Perlis, Romyar Sharifi