MGSC Website: http://math.uci.edu/~mgsc/
We will introduce elliptic curves and their applications to cryptography and computer security. We will describe the computationally important "point counting problem" and survey some results and algorithms to solve this problem. We will finish with some recent results that "count points" on certain elliptic curves and generalizations to hyperelliptic curves.
Nick Alexander is a sixth year student supervised by Alice Silverberg. He studied in Canada before coming to California.
Alice Silverberg is currently Nick's advisor.
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Pizza will be served after the talk.