Tuesday, April 25 at 12:30pm to 1:30pm
Kaprielian Hall (KAP), 414
3620 South Vermont Avenue, Los Angeles, CA 90089
- Pizza will be provided before the talk.
- This event is open to all undergraduate and graduate students. Female undergraduate students are particularly encouraged to attend.
Bahar Acu, USC
Title: Conferences, Summer Schools and Programs for Undergraduate Women in Mathematics
Sabrina Enriquez, USC
Title: Lengths of Simple Closed Curves on the Punctured Torus
Abstract: I am studying the behavior of the lengths of simple closed geodesics on the surface of a punctured torus endowed with a hyperbolic metric. In particular, my goal is to identify the maximum and minimum values taken by the Mirzakhani function, over the space of all hyperbolic metrics on the punctured torus. The Mirzakhani function, introduced by Maryam Mirzakhani, controls the growth rate of lengths of simple closed curves on hyperbolic surfaces. Through a heuristic method, I have found that the minimum of the Mirzakhani function seems to be attained at the (unique) hyperbolic metric. The function is also unbounded.