
Giles Auchmuty
Professor
of Mathematics
 University
of Houston
Office
Location:
PGH 696
Telephone:
(713) 7433475
Fax:
(713) 7433505
Email:
auchmuty@uh.edu
Physical,
and mail,
address is
University of
Houston
Department of
Mathematics
4800 Calhoun Ave,
Houston, TX
772043008 
Teaching:
In
Spring
2017, I will
teach
Applicable
Analysis,
M6361. This is
an
introduction
to the
analysis of
finite
dimensional
optimization
problems see
here for an
outline.
Currently
(Fall 2016)
I am
teaching
M3364 Complex Analysis and M6360
Applicable
Analysis .
The
syllabi
for both
courses are
available
on the Math
department
website and the
textbooks
recommended
there will be
used for the
classes.
See the links
for more
detailed
information
about the
classes. My
office hours
are 2.303.30pm
on Tuesdays
and Thursdays.
Research Interests:
My research is
currently supported by
NSF award DMS 1108754
to study "Steklov
spectra and Divcurl
analysis".
Maxwell's equations
are the most important
examples of divcurl
systems. See the link
to Research for more
information.
Much of my recent
research has centered
on Steklov
eigenproblems. These
are eigenproblems for
partial differential
equations where the
eigenparameter is in
the boundary
conditions. They are
important for studying
boundary conditions
and trace theorems for
elliptic
problems. This
work is theoretical
mathematics, involving
convex and
functional
analysis, partial
differential equations
and variational
principles. There are
related computational
questions that could
be of great
interest as research
projects including
some that do not
require a lot of
mathematical knowledge.
Research Students and
Projects:
Here is a
listing of
Ph.D.
graduates
whose theses I
have supervised. Currently
Juan F. Lopez is
pursuing research
projects with me. I
have supervised many
M.S. theses and some
undergraduate honors
students on a
variety of
mathematical
topics. If you are
interested in
studying
problems that
involve partial
differential
equations or the
calculus of
variations 
especially ones that
arise from
applications  feel
free to contact me
about possible
projects.
Background:
Received
an
undergraduate
degree in pure
and applied
mathematics from
the Australian
National
University and
S.M. and Ph.D.
degrees from the
University of
Chicago in
applied
mathematics. Held
positions at
SUNY, Stony
Brook and
Indiana
University,
Bloomington
before coming to
UH as a
Professor of
Mathematics in
1982. Was
President of UH
Faculty Senate in
2004
and have
served on many
departmental, college
and UH search and
other advisory
committees.
Have
held visiting
positions
at
the University
of Bonn, Oxford
University,
University of
Sydney, the
Fields Institute
in Toronto and
the Institute
for Advanced
Studies,
Princeton
amongst others.
Elected Fellow
of the
Australian
Mathematical
Society in
2015. Was
a Program
Director in the
Division of
Mathematical
Sciences of NSF
in
20052007.
Have
served on many
national award and
review panels
including, currently,
Fulbright awards in
Mathematical
Sciences.
Editorial:
Currently I am on the
editorial board of the
SIAM Journal of
Mathematical Analysis
(SIMA). For
information on SIMA
please go to the SIAM
website www.siam.org
I am
also on the board of
Nonlinear Analysis and
Differential
Equations, published
by Hikari Press and of
the Electronic
Problems
section, SIAM
Review.
This
section associated
with SIAM Review
welcomes unsolved
problems in applied
and applicable
mathematics.
Contributors should
send proposed problems
to Cecil C Rousseau.
If you can solve
posted problems please
let the proposer and
SIAM know about your
solutions.
