Jonathan W.
Sands,
Professor of Mathematics
Department of
Mathematics,
University of Vermont,
16 Colchester Ave
Burlington, VT 05401 USA
802-656-4339
Office hours: Mon, Wed 12:15-1:15, Tues 1-2, Fri 12-12:30
Jonathan.Sands@uvm.edu
Teaching Activities
Math 255 Spring 2010
Math 351 Spring 2010
A Pizza and Volleyball Party for Some Abstract Algebra Students at My Home:
Professional Activities
Organizer for conference on Stark's Conjectures and
Related Topics,
Johns Hopkins University, August 5-9, 2002.
Co-Editor of Stark's
Conjectures: Recent Work and New Directions, (proceedings
of same conference).
Organizer for the ALGORITHMIC NUMBER THEORY
SYMPOSIUM (ANTS) VI, University of Vermont, June 13-18, 2004.
Organizer for the Conference in Honor Of Harold
Stark's 65th Birthday, University of Minnesota, August 5-7, 2004.
Plenary speaker at Palmetto Number Theory Seminar, College of Charleston, Charleston, SC, Sept. 8-9, 2007. Some Galois module structure analogies between tame kernels and ideal class groups. pdf
Research Interests
Algebraic
number theory, especially Iwasawa Theory, L-functions, and
computations in algebraic number fields. My work has focused on
unravelling some of the mysteries of algebraic number theory embodied
by Stark's conjecture, Leopoldt's conjecture, and unresolved questions
in classical Iwasawa theory.
Recent Publications
- Stark's conjecture in multiquadratic
extensions, revisited, (with D. Dummit and
B. Tangedal), Journal de Theorie des Nombres de Bordeaux 15
(2003), 99-113. pdf
- Numerical Verification of the Stark-Chinburg
Conjecture for some Icosahedral Representations (with A. Jehanne
and X. Roblot),
Experimental Mathematics 12 (2003), 419-432. pdf
- Popescu's conjecture in Multiquadratic
Extensions,
in ``Stark's Conjectures: Recent Work and
New Directions" (proceedings of the International Conference on Stark's
Conjectures and Related Topics), AMS, Providence, RI (2004), 127-142. pdf
- Values at s=-1 of L-functions for multiquadratic extensions of number fields, and annihilation of the tame kernel (with L. Simons), J. London Math. Soc. 76 (2007), 545-555. pdf
- L-values and the Fitting ideal of the tame kernel for relative quadratic extensions, Acta Arithmetica 131 (2008), 389-402. pdf
- Values at s=-1 of L-functions for multi-quadratic extensions of number fields, and the Fitting ideal of the tame kernel, International Journal of Number Theory 5 (2009), 383-405. pdf
- Functorial properties of Stark units in multiquadratic extensions (with
B. A. Tangedal), in Proceedings of the 8th Algorithmic Number
Theory Symposium, Springer Lecture Notes in Computer Science, Volume 5011 (2008), 253-267. abstract
- Annihilation of motivic cohomology groups in cyclic 2-extensions (with M. Kolster), Ann. Sci. Math. Quebec 32 (2008), 175-187. pdf
- L-values for biquadratic extensions and the Fitting ideal of the tame kernel, to appear in Ann. Sci. Math. Quebec. pdf
Personal Interests