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Nathan Jones, Ph.D.
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Contact Information
Hume Hall 306
Phone: (662) 915-7065
Email: ncjones@olemiss.edu
Fax: (662) 915-5491
Personal Website
Teaching - Spring 2012
Office hours: MWF 11 am - 12 noon, or by appointment.
Math 305 (Foundations of Mathematics), MWF 9-9:50 am in Hume 201
Math 263 (Calculus III), MWF 10-10:50 am in Hume 203
Math 597 (Algebraic Number Theory II), MWF 1-1:50 pm in Hume 302
Research Interests
Number Theory
Publication
List in MathSciNet
Selected Honors & Awards
- Ralph E. Powe Junior Faculty Enhancement Award (2011-2012).
- NSA Young Investigators Grant (2012-2014).
Selected Publications
- "Trace formulas and class number sums," Acta Arithmetica 132 (2008), no. 4, 301--313.
- "A bound for the torsion conductor of a non-CM elliptic curve," Proceedings of the American Math Society 137 (2009) 37--43.
- "A refined version of the Lang-Trotter conjecture," (Joint
with S. Baier) International Math Research Notices
2009 (2009) no. 3, 433--461. - "Averages of elliptic curve constants," Mathematische Annalen 345 (2009) no. 3, 685-710.
- "Almost all elliptic curves are Serre curves," Trans. Amer. Math. Soc. 362 (2010), 1547-1570.
- Appendix to "Geometry and arithmetic of verbal dynamical systems on simple groups," by T. Bandman, F. Grunewald, B. Kunyavskii; to appear in "Groups, Geometry, and Dynamics" (a volume dedicated to W. Magnus).
- "One-parameter families of elliptic curves over Q with maximal
Galois representations" (joint with A.C. Cojocaru and D. Grant),
to appear in Proceedings of the London Mathematical Society.
Personal Interests
Biking, music.

