## EVENT DETAILS AND ABSTRACT

**Number Theory**
**Title:** Twin primes for elliptic curves

**Speaker:** Professor Alina Cojocaru

**Speaker Info:** UIC

**Brief Description:**

**Special Note**:

**Abstract:**

For an elliptic curve E over Q and for a prime p, we let E_p denote the reduction of E modulo p. In 1988, Neal Koblitz asked for the number of primes p < x for which E_p(F_p) forms a group of prime order. In many ways, this question may be viewed as an analogue of the classical twin prime conjecture. In my talk, I will discuss an average version of Koblitz's question. This is joint work with Antal Balog and Chantal David.

**Date:** Monday, January 5, 2009

**Time:** 3:00PM

**Where:** Lunt 107

**Contact Person:** Florian Herzig

**Contact email:** herzig@math.northwestern.edu

**Contact Phone:** 847-467-1898

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