Research Interests:Arithmetic geometry, number theory
Please see my web page for publications and related information.
Undergraduate Research Supervised
Tanawit Sae-Sue (June, 2009)
Thesis: Brauer-Severi varieties and H^2(G, mu_n)
Recent Publications
P. Clark and S. Sharif, Period, index, and potential Sha,
Algebra and Number Theory
(Accepted, Fall, 2009), ISSN 1937-0652 [pdf] [abs]
S. Sharif, Period and index of genus one curves over number fields,
Mathematische Annalen
(Submitted, Spring, 2009), ISSN 0025-5831 [pdf] [abs]
S. Sharif, Curves of prescribed period and index over local fields, edited by David Goss,
Journal of Number Theory, vol. 314 no. 1
(Spring, 2007),
pp. 157-167, Elsevier, ISSN 0022-314X [abs]