Arvind Ayyer

Mailing Address: Department of Mathematics
                             University of California, Davis
                             One Shields Ave
                             Davis, CA 95616, USA

Office:                  Mathematical Sciences Building 2115
Phone number:   (530) 554 1476
Email:                  (Last name) at math dot ucdavis dot edu

Before coming here

I was a graduate student in the Mathematical Physics group at Rutgers. I came to Rutgers in Fall 2003 after completing my undergraduate studies at IIT Kanpur, India. My fundoo advisors are Prof. Doron Zeilberger and Prof. Joel Lebowitz, both of whom are in the wiki - here and here.
My thesis under their direction was on aspects of combinatorics and statistical mechanics.

After completing my Ph.D in September 2008, I was a post-doc for two years at CEA Saclay.

Currently, I am a Krener Assistant Professor at the mathematics department of UC Davis.
In Spring 2012, I am spending part of my time at MSRI as a research member during the thematic semester on Random Spatial Processes.
My CV is here.

Teaching

I am teaching 17A in Spring 2012. In the past, I have taught 16A, 16B and 17B.

I will be teaching 135A in Fall 2012.

Research Interests

I have interests in statistical mechanics, enumerative combinatorics and experimental mathematics and any combination of the three.
More specifically, I am interested in

• Exactly solvable Markov chains. These include steady state properties, eigenvalues, correlations.
• Alternating Sign Matrices and their various relatives (monotone triangles, descending plane partitions, fully packed loops, totally symmetric self-complementary plane partitions, etc.)
• Combinatorics of lattice paths
• Computer proofs

Publications

For a list of my recent preprints along with journal references whenever published, go to the arXiv Atom feed in either a list format or as a list with abstracts. Some of the papers have Maple packages accompanying them. They can be accessed here. The list of my collaborators is here.