# Number Theory

For Fall 2022, the Number Theory Seminar is running on Wednesdays from 2:00PM to 3:30PM.

##### Group overview

Number theorists study properties of the integers, as well as related generating functions (analytic number theory), arithmetic in generalizations of the integers (algebraic number theory), the distribution of rational and algebraic numbers within the reals (Diophantine approximation), and countless other topics.

At UBC, the Number Theory group works on sieve methods and the distribution of primes, Diophantine problems, special values of L-functions, arithmetic dynamics, representations of p-adic groups, non-commutative Iwasawa theory and automorphic forms.

##### For prospective students

Number theory is an ancient area of mathematical research. Many problems in number theory are so accessible that they can be easily stated to undergraduates, yet so deep that they have withstood attempts to prove them for centuries or even millennia. Number theory has close connections with many other areas such as algebraic geometry, combinatorics, cryptography and coding theory, harmonic analysis, probability, complex analysis, and representation theory. All these connections are explored in the various courses in number theory that we offer each year.

## People

Faculty | Research Interests |
---|---|

Michael Bennett | |

Dragos Ghioca | Arithmetic geometry and algebraic dynamics. |

Julia Gordon | Harmonic analysis on p-adic groups, motivic integration. |

Greg Martin | |

Rachel Ollivier | Representation theory of p-adic groups and Hecke algebras, mod p and p-adic Langlands program. |

Lior Silberman | |

Jozsef Solymosi | Combinatorics, Graph Theory, Discrete Geometry, and Combinatorial Number Theory. |

Vinayak Vatsal | Special values of L-functions; modular forms; Iwasawa theory. |

Nahid Walji | Math. Ed.: Second and third year mathematical experiences, outreach. Num.Th.: elliptic curves, automorphic L-functions. |

Postdoctoral Researchers | Research Interests |
---|---|

Shamil Asgarli | Arithmetic geometry, finite fields, combinatorics |

Debanjana Kundu | Number Theory/ Iwasawa Theory |

Anwesh Ray | Galois representations, Iwasawa theory, arithmetic statistics |

Shen-Ning Tung | Galois representations, p-adic Langlands |

Graduate Students | Research Interests |
---|---|

Prajeet Bajpai | Diophantine equations |

Shubhrajit Bhattacharya | Iwasawa Theory, Galois Representations, Automorphic Forms and the Langlands Program |

Simone Coccia | |

Damara Gagnier | |

Parham Hamidi | Iwasawa theory |

Simone Maletto | |

Tam Nguyen | |

Thomas Rud | |

Sina Saleh | Arithmetic geometry and algebraic dynamics |

Chi Hoi (Kyle) Yip | Additive combinatorics and analytic number theory |