** Principal faculty advisor:**
Haynes Miller, MIT

** Palestinian faculty advisors:**

Professor Reema Sbeih, Birzeit University

Professor Mohammad Adam, Palestinian Polytechnic Institute

**Overview:**

The field theory of physics, when abstracted and generalized beyond
recognition, leads to a family of ways to assign algebraic invariants
to manifolds. In the case of surfaces this is mediated by the algebraic
structure given by commutative Frobenius algebra. This project will seek
to classify low dimensional examples, reconstruct a Frobenius algebra from
its partition function, and work out relative and other versions of this
theory.

There is a report about this on
the Birzeit University news feed,.

**Participants:**

Husameddin Badarin, Palestinian Polytechnic University

Mohamed Damaj, Birzeit University

Kim Eppling, MIT

top row: Kim Eppling, Haynes Miller

bottom row: Husameddin Badarin, Mohammad Damaj

This project led on to a solo project carried out by Honglin Zhu (MIT),
resulting in the paper
The Hermitian axiom on two
dimensional topological quantum field theories.