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.