General information
- Members of the research group
- The number theory mailing list
- Link to the Cryptography research group
Research
- Preprints by members of the research group
- Algebraic and Analytic Methods in Number Theory (EPSRC grant no. EP/F060661/1)
- Rational Points on Algebraic Varieties (EPSRC grant no. GR/R93155/01)
- Papers by members of the group, on the departmental eprint server
Seminars
- Number theory seminars
- Next seminar: 30 January 202016:00Giada GrossiAbstract
Let E be an elliptic curve over the rationals and p a prime such that E admits a rational p-isogeny satisfying some assumptions. In a joint work with J. Lee and C. Skinner, we prove the anticyclotomic Iwasawa main conjecture for E/K for some suitable quadratic imaginary field K. I will explain our strategy and how this, combined with complex and p-adic Gross-Zagier formulae, allows us to prove that if E has rank one, then the p-part of the Birch and Swinnerton-Dyer formula for E/Q holds true.
- Next seminar:
- Junior number theory seminars
- Next seminar: Today16:00Wojtek WawrówAbstract
Given a number field K, it is natural to ask whether it has a finite extension with ideal class number one. This question can be translated into a fundamental question in class field theory, namely the class field tower problem. In this talk, we are going to discuss this problem as well as its solution due to Golod and Shafarevich using methods of group cohomology.
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Other information
- Information for Applicants for Postgraduate study
- Travel information
- Vacancies within the department