| Affiliation | Assistant Professor of Mathematics, University of Illinois Urbana-Champaign | Office | 371 Altgeld Hall |
| Phone |
217-244-0225 |
| jathreya AT
illinois DOT edu |
|
| Mailing Address |
Department of Mathematics, University of Illinois 1409 W. Green Street Urbana, IL 61801 |
| Fax |
217-333-9576 |
This semester (Spring 2012) I am teaching Math 428, the Honors Capstone Course. For course information, please see the course wiki.
I direct the Illinois Geometry Lab, a new initiative to involve undergraduate students in research and outreach projects involving geometry and visualization.
I recently wrote a piece on Apollonian circle packings for the Indian children's science magazine Brainwave.
In Fall 2011, I worked with Anne Sautmann, the director of education at the Krannert Art Museum on a workshop on the interactions between art and mathematics for high school teachers.
In Summer 2011, I worked with students and teachers at the Chirag School, in the Indian state of Uttarakhand, to develop curriculum focusing on geometry and pattern recognition.
My research interests are in geometry and dynamical systems, andy primary area of research is the study of dynamics of Lie group actions on various parameter spaces. In particular, I study the dynamics of the \(SL(2, \mathbb R)\) action on moduli spaces of abelian and quadratic differentials, as well as dynamics on the space of lattices, both over the reals and over fields of positive characteristic. These subjects lie at the intersection of low-dimensional topology, ergodic theory, dynamics of group actions, and diophantine approximation.
My research has been supported by a NSF Postdoctoral Fellowship (DMS 0603636), and currently I am the holder of an NSF PI grant (DMS 1069153), and am also supported by the University of Illinois Campus Research Board. I am also a member of the GEometric structures And Representation varieties (GEAR) NSF Research Network. For further information, please see my CV.
Chris Leininger, Steve Bradlow, and I are serving as local organizers for the first GEometric structures And Representation varieties (GEAR) Network Retreat, August 6-10, 2012, in Champaign-Urbana.
Yitwah Cheung, Anton Zorich, and I organized a special session on Lie group actions, Teichmüller Flows and Number Theory, at the American Mathematical Society Western Section Meeting, April 25-26, 2009, in San Francisco. Details can be found here.
Anish Ghosh, David Ellwood, Dmitry Kleinbock, and I organized a workshop on Shrinking Target Properties, from Jan 31-Feb 3, 2008 at Brandeis University and the Clay Mathematics Institute. More details can be found here.
More methods of lion-hunting
that every graduate
student should know. This is joint with Apoorva Khare (Stanford University).