Title: Symmetric Functions Abstract: The most basic type of symmetric functions appears when studying roots of a polynomial: the coefficients of a polynomial are the elementary symmetric functions of its roots. Much of mathematics was motivated by trying to write down formulas … Read more
Title: Symplectic Toric Orbifolds Abstract: Toric varieties are a special class of algebraic T-varieties whose geometry is encoded in convex polytopes. In addition to being interesting in its own right, toric geometry often serves as a source simple examples where … Read more
Title: Emergent Clustering from Pairwise Interactions in Polymer Genome Models Abstract: The physical organization of chromosomes is known to be vital to cell function. Highly efficient compaction is achieved through various means, including histones, loop extrusion, and crosslinking. Prior work … Read more
