My
WWW textbook with
James Herod,
Linear Methods of Applied Mathematics: Orthogonal series, boundary-value problems, and integral operators
(which can be used in Math 4582 and 4348 at Georgia Tech).
Some on-line lectures (sorry, not up to date and what's there is not complete):
On sums of graph eigenvalues
, a seminar at the International Conference on Graph Theory,
Grenoble, France, July, 2014
(
PDF)
Mathematical understandings of
Africa
for Africa Beyond Africa, a symposium at Georgia Tech, May, 2014.
(
PDF
or Youtube video)
On sums of eigenvalues of elliptic
operators on homogeneous spaces
a seminar at a meeting of the AMS, Knoxville, March, 2014.
PDF)
On sums of eigenvalues, and what
they reveal about
graphs and manifolds
, a seminar at the University of Tours, February, 2014.
(
PDF)
Eigenvalue distributions and the
structure of graphs
, a seminar at the Euler International Mathematical Institute,
St. Petersburg, Russia, July, 2013
(
PDF)
Shapes that optimize spectra
of differential operators
,
a seminar at
the Institut Elie Cartan, Université H. Poincaré,
Nancy, France,
February, 2010.
(
PDF)
Some semiclassical and universal
estimates
of eigenvalues of quantum graphs,
a seminar at
Virginia Tech,
October, 2010.
(
PDF)
Some geometric and topological inequalities arising in nanophysics,
a seminar at
Changchun, China,
July, 2010.
(
PDF)
Means of chords and related problems of geometric optimization in the plane,
a seminar at
Pavia, Italy,
June, 2010.
(
PDF)
Eleven spectral properties of the sphere,
a seminar given at the
Queen Dido Conference
in Carthage,
Tunisia, May, 2010 and in
Neuchâtel, Switzerland,
June, 2010.
(
PDF)
Sum rules and semiclassical limits for quantum Hamiltonians on surfaces,
periodic structures, and graphs,
a seminar at
the Institut Bernoulli
Lausanne, Switzerland,
February, 2010.
(
PDF)
Sum rules and semiclassical limits for
the spectra of some elliptic PDEs
and pseudodifferential operators
a seminar at
the Institut Elie Cartan, Université H. Poincaré,
Nancy, France,
February, 2010.
(
PDF)
Sum rules and semiclassical limits for quantum Hamiltonians on surfaces,
periodic structures, and graphs, a seminar at
the workshop on "Mathematical aspects of quantum transport
and applications in nanophysics", Aalborg, Denmark,
August, 2009.
(
PDF)
Have you heard what's going round?
, a lecture on spectral geometry for graduate students.
(
PDF)
* The Skiles building
(
pictures)
shows as a rectangle with a hole in it
and bears the number 2. To see it in relation to the whole campus,
go to
"Map Home".
My office location is in the southwest corner of the building.
The opinions on this and any of my pages at locations in
math.gatech.edu/~harrell/
or
mathphysics.com
are my own, or else satirical, or honest errors. They are not
necessarily those of
Georgia Tech,
although most of them should be.
As we have been instructed
to say:
THIS PAGE IS NOT A PUBLICATION OF THE GEORGIA
INSTITUTE OF TECHNOLOGY AND THE GEORGIA INSTITUTE
OF TECHNOLOGY HAS NOT EDITED OR EXAMINED
THE CONTENT. THE AUTHOR(S) OF THE PAGE ARE SOLELY
RESPONSIBLE FOR THE CONTENT.