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Holly Rosson
Research
My research area is number theory, which deals with questions
concerning the integers; for instance, solving equations using only
integers. In particular, I work in an area called automorphic forms,
which are certain functions that encode number theoretic
information.
- Papers and Current Works in Progress
- "Theta Series of Quaternion Algebras over Function Fields," Journal of Number Theory 94, 49-79 (2002)
- "Trees and Quadratic Forms", in perpetual revision, now with Evan Wantland.
- "Central Values of Quadratic Twists of a Modular Form of Weight 4", in "Ranks of Elliptic Curves and Random Matrix Theory, Cambridge University Press, 2007.
- "Quadratic Forms over Function Fields," in preparation (with Nathan Ryan).
- Recent and Up and Coming Conferences
- "L-functions, ranks of elliptic curves, and random matrix theory", Banff International Research Station for Mathematical Innovation and Discovery, July 8-13, 2007
- "L-functions and modular forms," American Institute of Mathematics Research Conference Center, July 30-August 6, 2007
- "21st Annual Workshop for Automorphic Forms and Related Topics", Santa Barbara, CA, March 2007
- "20th Annual Workshop for Automorphic Forms and Related Topics", Boulder, CO, March 2006
- "19th Annual Workshop for Automorphic Forms and Related Topics", Denton, TX, March 2005 (co-organizer)
- Select Presentations:
- Computing Half-Integral Weight Modular Forms, Special Session "Computational Number Theory," AMS Fall sectional meeting, Boulder, CO, October, 2003
- Quadratic Forms over Function Fields, University of California at Santa Barbara, Number Theory Colloquium, March, 2002
- Trees, Hecke Operators, and Quadratic Forms, Special Session "Number Theory with a Geometric Flavor," AMS Spring sectional meeting, Las Vegas NV, April, 2001
- Theta Series over Function Fields, the 15th Annual Workshop on Automorphic Forms, Palo Alto, CA, March, 2001
- Theta Series over Function Fields, Special Session "Modular Forms and Elliptic Curves," Joint AMS/MAA Meetings, January, 2000
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