Geometric Statistics for Ford Circles

<strong>Mathematics Seminar of the School of Physical Sciences</strong> Title:&nbsp;<strong>Geometric Statistics for Ford Circles</strong> Speaker:&nbsp;<strong>Jayadev Athreya</strong>&nbsp; (University of Illinois, Urbana) Date:&nbsp;<strong>January 15, 2015</strong> <strong>Abstract:&nbsp;</strong>We explore the statistics of various geometric quantities associated to Ford circles, using horocycle flow on the modular surfaces. This is joint work with S. Chaubey, A. Malik, and A. Zaharescu.