Jesse Liptrap's math page
PhD in Mathematics from UC Santa Barbara (June 2010)
BS in Mathematics from Caltech (June 2006)
My dissertation advisor at UCSB
was Zhenghan Wang, a
researcher at Microsoft Station Q.
Most of my research revolves around fusion categories, primarily motivated
quantum Hall physics, primarily motivated
quantum computation, primarily motivated by simulation of quantum
phenomena, primarily motivated by future scientific and technological
applications, primarily motivated by... :)
From Hypergroups to Anyonic Twines, UCSB dissertation.
Generalized Tambara-Yamagami categories, accepted at Journal
of Algebra. (arXiv)
On translation invariant symmetric polynomials and Haldane's
conjecture, Topology and Physics: Proceedings of the Nankai
International Conference in Memory of Xiao-Song Lin, Nankai Tracts in
Mathematics 19:279–287, World Scientific 2008.