Cory Ahn
Home university:
University of Western Ontario
Supervisor:
B. Guenin
Project title:
Generating minimally non even cycle matroids
Comments:
My project for this summer was to create a computer program that, when given as input some "nice" even cycle matroid M, outputs all the minimally non-even cycle matroids that contains M as a minor. I would recommend the Undergraduate Research Assistant (URA) program to anyone interested in finding out what academic research is about.
Aaron Dos Remedios
Home university:
University of Waterloo
Supervisor:
C. Swamy
Project title:
Algorithms for Profit-maximization in Auctions with Unreliable Supply
Comments:
I
feel
that
working
in
research
is
a
good
experience
for
students
who
want
to
experience
the
field
of
mathematics
research
or
to
apply
the
knowledge
that
they
have
acquired
in
the
classroom.
While
the
tasks
may
seem
daunting
at
times,
the
professors
and
other
staff
create
a
good
support
system
and
are
often
willing
to
help
you
out.
I
did
research
on
an
online
multi-unit
auctions.
My
problem
was
to
design
an
algorithm
which
could
provide
a
good
approximation
to
the
solution
of
an
auction
optimization
problem
given
an
initially
unknown
supply.
My
supervisor
and
I
ended
up
finding
a
solution
that
was
twice
as
good
as
a
known
solution
published
in
a
2006
paper.
Julia Evans
Home university:
McGill
Supervisor:
C. Godsil
Project title:
Chromatic Algebra
Alexander Festeryga
Home university:
University of Waterloo
Supervisor:
I. Goulden
Project title:
A new approach to Faber's Conjecture
Malcolm Sharpe
Home university:
University of Waterloo
Supervisor:
L. Tunçel/W.H. Cunningham
Project title:
Good feasible solutions of combinatorial optimization problems from continuous relaxations
Kamara Simpson
Home university:
University of Waterloo
Supervisor:
J. Cheriyan
Project title:
Scheduling for wireless networks
Vladimir Soukharev
Home university:
University of Waterloo
Supervisor:
S. Vanstone/O. Dharvishvand
Project title:
Edwards Curves
Comments:
This
summer
term
we
researched
the
use
of
Edwards
Curves
in
Elliptic
Curve
Cryptography.
They
provide
a
new
model
for
Elliptic
Curves,
which
has
some
advantages
in
terms
of
efficiency
and
security
over
the
other
models
of
Elliptic
Curves
present
in
literature.
I
enjoyed
working
as
a
URA
in
the
Combinatorics
and
Optimization
(C
and
O)
department
a
lot.
I
learned
a
lot
of
new
mathematical
concepts
and
I
was
able
to
use
my
previous
knowledge
in
our
research.
It
is
a
great
experience
to
work
as
a
URA
in
the
C
and
O
department.
Yi Su
Home university:
University of Waterloo
Supervisor:
N. Wormald
Project title:
Random Graph Processes
Michael Szestopalow
Home university:
University of Waterloo
Supervisor:
A. Nayak
Project title:
Lower Bounds for Small Probability Spaces
Comments:
Small
probability
spaces
are
used
in
the
construction
of
error-correcting
codes,
derandomization
of
algorithms,
and
many
other
areas
of
mathematics.
We
focused
on
one
particular
kind
of
space
that
was
used
in
quantum
message
encryption.
The
goal
of
the
project
was
to
determine
how
small
these
spaces
could
be,
and
if
the
known
constructions
were
optimal.
The
URA
program
was
a
very
rewarding
experience.
It
was
an
enjoyable
challenge
to
learn
the
new
math
and
apply
it
to
the
project.
The
weekly
seminars
were
a
nice
break
during
the
week
and
introduced
many
new
areas
of
mathematics,
as
well
as
the
projects
that
other
students
were
working
on.
I
also
had
the
opportunity
to
present
an
application
of
my
work
at
the
Canadian
Undergraduate
Mathematics
Conference
at
the
University
of
Toronto.
Anyone
interested
in
graduate
school
would
greatly
benefit
from
this
program.
Yehua Wei
Home University:
University of Waterloo
Supervisor:
J. Koenemann
Project title:
Groupstrategyproof mechanisms for survivable network design games