Allison M. Pacelli, Ph.D.
Affiliations: | 2003 | Brown University, Providence, RI |
Area:
Algebraic Numbers and FunctionsGoogle:
"Allison Pacelli"Parents
Sign in to add mentor| Michael Rosen | grad student | 2003 | Brown | |
| (The structure of the class group in global function fields.) | ||||
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Publications
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| Daub M, Lang J, Merling M, et al. (2011) Function fields with class number indivisible by a prime ℓ Acta Arithmetica. 150: 339-359 |
| Pacelli AM. (2009) Function fields with 3-rank at least 2 Acta Arithmetica. 139: 101-110 |
| Pacelli AM, Rosen M. (2009) Indivisibility of class numbers of global function fields Acta Arithmetica. 138: 269-287 |
| Pacelli AM. (2008) WITHDRAWN: Quadratic, cubic, and sextic number fields with class numbers indivisible by 3 Journal of Number Theory |
| Luca F, Pacelli AM. (2008) Class groups of quadratic fields of 3-rank at least 2: Effective bounds Journal of Number Theory. 128: 796-804 |
| Erickson C, Kaplan N, Mendoza N, et al. (2007) Parameterized families of quadratic number fields with 3-rank at least 2 Acta Arithmetica. 130: 141-147 |
| Pacelli AM. (2006) A lower bound on the number of cyclic function fields with class number divisible by n Canadian Mathematical Bulletin. 49: 448-463 |
| Lee Y, Pacelli AM. (2006) Higher rank subgroups in the class groups of imaginary function fields Journal of Pure and Applied Algebra. 207: 51-62 |
| Pacelli AM. (2006) The prime at infinity and the rank of the class group in global function fields Journal of Number Theory. 116: 311-323 |
| Lee Y, Pacelli AM. (2005) Class groups of imaginary function fields: The inert case Proceedings of the American Mathematical Society. 133: 2883-2889 |