Abigail Raz

Research

Graduate

Upper tail bounds for cycles
[link]
Structure of the largest subgraphs of G(n,p) with a given matching number
[link]
A Note on the Union-Closed Sets Conjecture
Electronic Journal of Combinatorics 24:3 (2017), P53. [link]

Undergraduate

During the summer of 2012 I participated in the SUNY Potsdam/Clarkson University REU as part of the algebraic graph theory group under the direction of Christino Tamon. We studied Perfect State Transfer (PST) on signed graphs, and properties of the exterior powers of signed graphs. The two papers from this summer are below:

• D. Mallory, A. Raz, C. Tamon, T. Zaslavsky.
  Which Exterior Powers are Balanced?
  Electronic Journal of Combinatorics 20:2 (2013), P43. [link]
  arXiv:1301.0973 [math.CO]

• J. Brown, C. Godsil, D. Mallory, A. Raz, C. Tamon.
  Perfect State Transfer on Signed Graphs.
  Quantum Information and Computation 13:5&6 (2013), 511-530.
  arXiv:1211.0505 [quant-ph]

While at Wellesley I conducted a senior thesis project in the area of computable structure theory. Specifically I studied index set complexity for particular finitely presented groups and torsion free abelian groups of rank 1. A pre-print of this work can be found here