Jonathan W.
Sands,
Professor of Mathematics Department of Mathematics, University of Vermont, 16 Colchester Ave Burlington, VT 05401 USA 802-656-4339 Office hours: MTW 2:30-4, F 11-12, and by appointment. Office: Room 406, Henry Marcus Lord House Jonathan.Sands@uvm.edu CV |

Teaching Activities

Math 351 Algebraic Number Theory, Fall 2017 | Math 251, Abstract Algebra I, Fall 2017 |

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

Host for Phi Beta Kappa Visiting Scholar Andrew Odlyzko, University of Vermont, April 6-7, 2010.

- 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
- 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
- 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
- L-values for biquadratic extensions and the Fitting ideal of the tame kernel, Ann. Sci. Math. Quebec. 34 (2010), 109-118. pdf
- L-functions at the origin and annihilation of class groups in multiquadratic extensions, Acta Arithmetica 154 (2012) 173-185. pdf slides of talk
- L-functions for quadratic characters and annihilation of motivic cohomology groups, Canadian Math Bulletin 58 (2015), 620-631. [DOI:10.4153/CMB-2014-072-3] slides of related talk
- Zeta-functions and ideal classes of quaternion orders, Rocky Mountain Journal of Mathematics 47.4 (2017). pdf
- Twisted zeta-functions of quaternion orders, Journal of Number Theory 160 (2016), 32-43. pdf
- Computing annihilators of class groups from derivatives of L-series (with B. A. Tangedal), to appear in Mathematics of Computation. preprint slides of talk
- Numerical evidence for higher order Stark-type conjecture (with K. McGown and D. Vallieres), to appear in Mathematics of computation. preprint