February 13, 2004

Three New VIGRE Postdocs

We have three acceptances on the VIGRE postdocs,
completing the hiring of postdocs in record time.
Those hired are:

Name, University, Faculty Mentor

Nathan Geer, U of Oregon, Stavros Garofouloudis
Svetlana Krat, Penn State, Igor Belegradek
Dmitry Gererot, Penn State, Jean Bellisard

It appears that GT has been more competitive than
in past two years in recruiting postdocs for these
positions.


These three people will join our current postdocs:

Mason Porter
Ravi Montenegro
Mark Demers
Tomasso Pacini
Daniel Fox

Posted by lacey at 03:59 PM

August 20, 2003

Betrand Guenin wins Fulkerson Prize


BertranGuenin has won the 2003 Delbert Ray Fulkerson Prize.
This prize is administered by the Mathematical Programming Society (MPS) and the American Mathematical Society (AMS). He is currently at the University of Waterloo in Canada.


Bertrand's Georgia Tech connection was by way of a Postdoctoral Position at Georgia Tech, in the Southeastern Applied Analysis Center.

The Fulkerson Prize is awarded for outstanding papers in the area of discrete mathematics. And he received for the paper A characterization of weakly bipartite graphs. J. Combin. Theory Ser. B 83 (2001), no. 1, 112--168.

Posted by lacey at 01:52 PM | Comments (1)

August 05, 2003

Erin Terwilliger Leaves GT

Erin Terwilleger has left her VIGRE postdoc position to take up
a tenure track position at the University of Conneticut at Storrs.

Her report on the year's activities is in the extended entry.

2002-2003 ANNUAL REPORT
ERIN TERWILLEGER


1. Introduction
I was a VIGRE Postdoctoral Associate at Georgia Tech for the 2002-2003 school
year. I received my PhD from the University of Missouri-Columbia in May 2002
under the direction of Professor Loukas Grafakos. My research interests are Harmonic
Analysis with emphasis on Fourier Analysis and Singular Integeral Operators. While
at Georgia Tech, Professor Michael Lacey was my mentor. In the fall of 2003, I will be
starting a tenure-track assistant professor position at the University of Connecticut
in Storrs.

2. Research
I have completed and/or worked on the following papers over the academic year
2002-2003.
* Lp bounds for a maximal dyadic sum operator, with L. Grafakos and T. Tao,
Math. Zeit., to appear, (2003).
* Remarks on product VMO, with M. Lacey, in preparation, (2003).
* Third order commutators and product BMO, in preparation, (2003).


Through the VIGRE travel grant, I was able to attend the following conferences
while at Georgia Tech.
* Second Annual Prairie Analysis Conference, University of Kansas, Lawrence
KS.
* Quasiconvexity and its Applicationa, Princeton University, Princeton, NJ.
* Riviere-Fabes Symposium, University of Minnesota, Minneapolis, MN.
* Park City Mathematics Institute/Institute for Advanced Study summer pro-
ram in Harmonic Analysis and PDE's.


I also regularly attended the Analysis Seminar at Georgia Tech where I gave the
talk
* Lp bounds for a maximal dyadic sum operator, joint work with L. Grafakos
and T. Tao, February 2003.


I also regularly attended an informal time-frequency seminar organized by Professor
Chris Heil. There I presented a series of two talks over the following paper.
* S. Ferguson and M. Lacey, Second order commutators and product BMO,

This informal seminar gave me the chance to interact with some graduate students,
other postdocs, and even a professor at a nearby university.


3. Teaching

I taught two courses at Georgia Tech: Math 2401 (Calculus III), Section B1 in
Fall 2002, and Math 2602 (Linear and Discrete Mathematics), Sections B1 and B2
in Spring 2003. These courses gave me a good oppurtunity to interact with stu-
dents. One of my students from 2602 asked me to write letters of recommendation
to graduate schools on his behalf.

Posted by lacey at 05:54 PM | Comments (0)

July 22, 2003

Brody Johnson Leaves for St Louis University

Brody Johnson, one of our first year VIGRE postdocs, has left for his next position, St Louis University.

He is taking a tenure track position, back close to home. His one year position was filled with teaching, and research duties.

He has put up a nice webpage that details how he spent his time in the position.

We wish him well in his new position.


2002-2003 VIGRE Annual Report - Brody Johnson

I was a VIGRE visiting assistant professor at Georgia Tech during the 2002-2003 academic year. My mentor was Professor
Chris Heil. I came to Atlanta after receiving my Ph.D. from Washington University in St. Louis in May 2002 under the direction of Professor Guid
o Weiss. My research interests focus on applied harmonic analysis, particularly in and around the topics of wavelets and frames. During my secon
d semester at Georgia Tech I accepted a tenure-track position at Saint Louis University to begin in the fall of 2003.



The VIGRE position provided me ample resources with which to travel and I was fortunate enough to make several professional connections through t
he conferences I attended. One of my colleagues for the spring semester, Keri Kornelson (VIGRE postdoc at Texas A&M), chose to visit Georgia
Tech for the spring based on a discussion at one of the conferences I attended.



I taught section G3 of Math 2401 (Calculus III) in the fall of 2002 and sections B3 & B4 of Math 2403 (Differential Equations) in the spring o
f 2003. In the differential equations course I created three Matlab projects (Fourier Series, Mechanical Vibration, & Electrical Theory) whic
h I allowed the students to complete in groups of three. The students did a remarkable job on these projects. I had nothing but positive experi
ences in each of my semesters teaching at Tech.



Papers, Preprints, & Drafts:

  • Convolutional frames and the frame potential,
    (with K. Kornelson, and K. Okoudjou), in preparation, (2003).

  • Co-affine systems in Rd,
    submitted, (2003).

  • Wavelet transforms arising from oversampling,
    preprint, (2002).


Talks:

  1. Oversampling wavelet frames, Wavelets, Frames, and Operator Theory Workshop, University of Maryland at College Park, College Park, M
    D. (January 2003)

  2. Coaffine systems in Rd, 2003 Spring Sectional Meeting of the AMS, Special Session on Wavelets, Frames, and T
    omography, Louisiana State University, Baton Rouge, Louisiana. (March 2003)

  3. Multiresolution operators in wavelet theory, Analysis Seminar, School of Mathematics, Georgia Tech. (April 2003)


Informal Talks: (given in an informal time-frequency seminar organized by Prof. Heil) t>

  1. Failure of coaffine systems to comprise frames for L2(Rd) [2]. (August 2002)

  2. Frames in finite dimensions & the frame potential [1]. (~October 2002)

  3. Basic properties of almost periodic functions [3]. (~February 2003)

  4. Elements of sampling theory [4]. (~April 2003)


Conferences Attended:

  1. 2002 Fall Sectional Meeting of the AMS, University of Central Florida, Orlando, FL. (November 2002)

  2. 2003 Joint Mathematics Meetings, Baltimore, MD. (January 2003)

  3. Wavelets, Frames, and Operator Theory Workshop, University of Maryland at College Park, College Park, MD. (January 2003)

  4. 2003 Spring Sectional Meeting of the AMS, Special Session on Wavelets, Frames, and Tomography, Louisiana State University, Baton Rouge, Lou
    isiana. (March 2003)

  5. FRG Workshop: Three Wavelet Themes, Boulder, Colorado. (June 2003)


References:

  1. J. J. Benedetto, and M. Fickus, Finite normalized tight frames, Adv. Comp. Math., 18, (2003), 357-385.

  2. P. Gressman, D. Labate, G. Weiss, and E. Wilson, Affine, quasi-affine, and co-affine wavelets, Beyond Wavelets,
    Academic Press, (2001).

  3. Y. Katznelson, An introduction to harmonic analysis, Dover Publ., 2nd Ed., (1976).

  4. E. Weber, The geometry of sampling on unions of lattices, submitted, Proc. Am. Math. Soc., (2002).



Posted by lacey at 04:25 PM | Comments (0)

June 09, 2003

Mason Porter Named Next Fellow

Mason Porter, VIGRE/GT postdoc, in his second year of the position, will be a Project 2003-04 NEXT fellow. Project NExT (New Experiences in Teaching) is sponsored by the MAA, and is aimed at new or recent Ph.D.s in the mathematical sciences who are interested in improving the teaching and learning of undergraduate mathematics.

Project NExT is the web.

Mason will teach a course in mathematical modelling as part of his participation in this program.

Posted by lacey at 06:41 PM