Collaboration on Problems in Algebraic Combinatorics (ASUF - 30006638)

Collaboration on Problems in Algebraic Combinatorics (ASUF - 30006638) Further Collaboration on Sabbatical Problems In 2007, after nine years in industry, I returned to academia, and am now an associate professor at Arizona State University. Much of the last seven years has been spent catching up on material developed while I was away, coming up with new projects, and meeting a new generation of algebraic combinatorialists. Up until this academic year, I have been working mainly in two overlapping areas: Catalan combinatorics (Section 1) and k-Schur functions (Section 2), which I started investigating in 2007 and 2011 respectively. In the last section, I describe some of the problems I have been working on during my sabbatical in Chile at University of Talca.