Elliptic curves: problems and applications

Monday, January 3, 2011 - 2:00pm - 3:00pm
Keller 3-180
Carl Pomerance (Dartmouth College)
In the past three decades there have been some exciting
applications of elliptic curves over finite fields
to integer factoring, primality testing, and
cryptography. These applications in turn have raised some interesting
problems often of an unconventional flavor. For example, how
often is the order of an elliptic curve group prime, or how
often does it have all small prime factors? In this talk we will
visit problems such as these, as well as other analytic-type
problems relating to ranks of elliptic curves over function
fields and to elliptic divisibility sequences.
MSC Code: