Ashwath Rabindranath

Department of Mathematics,
5832 East Hall
530 Church Street
Ann Arbor, MI 48109
USA

Office: 5832 East Hall
Email: ashwathr (at) umich (dot) edu

Curriculum Vitae

I am a PhD candidate in the math department at Michigan. My advisor is Mircea Mustaţă and I work in algebraic geometry. I have recently been thinking about some questions about stability of vector bundles.

I received my undergraduate degree in mathematics from Princeton where I wrote a thesis under the supervision of Shou-Wu Zhang. I also spent a lot of time thinking about enumerating quartic fields with Manjul Bhargava.

In summer 2014, I organized minicourses in the department taught by and aimed at graduate students. I also taught a minicourse on the birational geometry of algebraic surfaces. The full list of minicourses that were offered is here.


Papers/Preprints

Positivity of GIT heights for zero-cycles and hyperplane arrangements, submitted, with W. Sawin.

Some surfaces with non-polyhedral nef cones, to appear in Proceedings of the American Mathematical Society.

A Database of Elliptic Curves over Q(√5) --a first report, ANTS X: Proceedings of the Tenth Algorithmic Number Theory Symposium, The Open Book Series 1-1 (2013) 145-166, with J. Bober, A. Deines, A. Klages-Mundt, B. LeVeque , R. A. Ohana, P. Sharaba, and W. Stein.


Talks/Posters

(August 2015) Arithmetic 2015: Silvermania, Brown University.

(July 2015) AMS Algebraic Geometry Summer Institute Bootcamp, University of Utah.

(April 2015) Midwest Graduate Algebraic Geometry Conference, University of Illinois, Chicago.


Teaching

I am not teaching in Fall 2015.

In previous semesters, I have taught Calculus I, II and IV.


Older expository writing

Bhargava Seminar (Fall 2011)

The Mordell-Weil theorem

Constructing Quot Schemes