# Number Theory

The interests of the Number Theory group are centred on modular forms, automorphic representations and their congruences, Galois representations and their modularity, elliptic curves, arithmetic algebraic geometry, and the Bloch-Kato conjecture on values of L-functions. See the staff pages below for further details.

Please click here for the upcoming talks in the number theory seminar.

Please click here for the upcoming talks in our learning seminar.

Prospective postgraduates should note that a strong student with a good all-round knowledge of undergraduate pure mathematics would still need to do large amounts of preparatory reading to begin with. Their work is likely to have as much to do with algebraic geometry, algebraic topology, analytic functions and representation theory as with undergraduate courses on elementary number theory.

Please click here for the upcoming talks in the number theory seminar.

Please click here for the upcoming talks in our learning seminar.

Prospective postgraduates should note that a strong student with a good all-round knowledge of undergraduate pure mathematics would still need to do large amounts of preparatory reading to begin with. Their work is likely to have as much to do with algebraic geometry, algebraic topology, analytic functions and representation theory as with undergraduate courses on elementary number theory.

Group home page

## Members

Academic staff | |||||
---|---|---|---|---|---|

Name | Office | Phone | VCard | ||

Dr Tobias Berger | J9 | 23791 | T.T.Berger | vcard | Cohomology of arithmetic groups, automorphic forms, Galois representations, Bloch-Kato conjecture |

Prof Neil Dummigan | J8 | 23713 | N.P.Dummigan | vcard | Number theory, arithmetic geometry, automorphic forms |

Dr Frazer Jarvis | J12 | 23845 | A.F.Jarvis | vcard | Algebraic number theory, Galois representations |

Dr Jayanta Manoharmayum | J22 | 23871 | J.Manoharmayum | vcard | Algebraic number theory, the absolute Galois group of Q |

Dr Haluk Sengun | J10 | 23725 | M.Sengun | vcard | Algebraic number theory, automorphic forms, Galois representations |

Dr Evgeny Shinder | J24 | 23753 | E.Shinder | vcard | Algebraic Geometry |

Emeritus professors | |||||
---|---|---|---|---|---|

Name | Office | Phone | VCard | ||

Prof Victor Snaith | V.Snaith | vcard | Algebraic K-theory, algebraic topology, algebraic geometry, representation theory |

Research associates | |||||
---|---|---|---|---|---|

Name | Office | Phone | VCard | ||

Dr Adel Betina | J7 | 23838 | A.Betina | vcard | Arithmetic Geometry |

Postgraduate students | |||||
---|---|---|---|---|---|

Name | Office | Phone | VCard | ||

Mr Lewis Combes | J14a | LMCombes1@sheffield.ac.uk | vcard | Bianchi modular forms | |

Prathan Jarupoonphol | I08 | PJarupoonphol1 | vcard | ||

Sadiah Zahoor | J25 | SZahoor1 | vcard | Algebraic Number Theory | |

Di Zhang | J25 | DZhang11 | vcard | Algebraic number theory, modular forms and L-functions |

## Current grants

Deformations of Saito-Kurokawa type Galois representations | EPSRC |

## Past grants

Arithmetic applications of Kudla-Millson theta lifts | EPSRC |

Paramodularity Conjecture Travel Grant | LMS |