Wednesday, June 10, 2015
Rutger Campbell (B.Math. 2015) is a co-winner of the fourth Jessie W.H. Zou Memorial Award for Excellence in Undergraduate Research in the Faculty of Mathematics. Rutger was an undergraduate research assistant in Spring 2013 and Spring 2014, working with Peter Nelson and Jim Geelen.
In Spring 2013, Rutger and Peter Nelson studied the problem of finding a `linked matching' in a directed graph. Their result is a common generalization of the Tutte-Berge formula and Menger's Theorem. In Spring 2014, Rutger worked with Jim Geelen and Peter Nelson on improving earlier results of geometers Goevarts and Storme. They proved that, for each r ≥ 6, there are exactly eight (explicitly determined) maximal triangle-free sets in GF(2)r of density greater than 33/128. Rutger presented this work at the 2014 International Workshop on Structure in Graphs and Matroids, in Princeton.
Rutger completed his B.Math. in April 2015, majoring in Combinatorics and Optimization and Pure Mathematics. In May 2015 he started graduate studies in the C&O department working with Jim Geelen.