## Number Theory - Ahmet Muhtar Guloglu (Bilkent University, Turkey)

### Tuesday, February 5th, 2019

**Time:** 1:00-2:00 p.m. **Place:** Jeffery Hall 422

**Speaker:** Ahmet Muhtar Güloğlu (Bilkent University, Turkey)

**Title:** Cyclicity of elliptic curves modulo primes in arithmetic progressions (joint work with Yildirim Akbal).

**Abstract:** Let E be an elliptic curve defined over the rational numbers. We investigate the cyclicity of the group of F_p-rational points of the reduction of E modulo primes in a given arithmetic progression as a special case of Serre's Cyclicity Conjecture.