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
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| 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.
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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).
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Talks:
- Oversampling wavelet frames, Wavelets, Frames, and Operator Theory Workshop, University of Maryland at College Park, College Park, M
D. (January 2003)
- 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)
- Multiresolution operators in wavelet theory, Analysis Seminar, School of Mathematics, Georgia Tech. (April 2003)
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Informal Talks: (given in an informal time-frequency seminar organized by Prof. Heil)
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- Failure of coaffine systems to comprise frames for L2(Rd) [2]. (August 2002)
- Frames in finite dimensions & the frame potential [1]. (~October 2002)
- Basic properties of almost periodic functions [3]. (~February 2003)
- Elements of sampling theory [4]. (~April 2003)
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Conferences Attended:
- 2002 Fall Sectional Meeting of the AMS, University of Central Florida, Orlando, FL. (November 2002)
- 2003 Joint Mathematics Meetings, Baltimore, MD. (January 2003)
- Wavelets, Frames, and Operator Theory Workshop, University of Maryland at College Park, College Park, MD. (January 2003)
- 2003 Spring Sectional Meeting of the AMS, Special Session on Wavelets, Frames, and Tomography, Louisiana State University, Baton Rouge, Lou
isiana. (March 2003)
- FRG Workshop: Three Wavelet Themes, Boulder, Colorado. (June 2003)
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References:
- J. J. Benedetto, and M. Fickus, Finite normalized tight frames, Adv. Comp. Math., 18, (2003), 357-385.
- P. Gressman, D. Labate, G. Weiss, and E. Wilson, Affine, quasi-affine, and co-affine wavelets, Beyond Wavelets,
Academic Press, (2001).
- Y. Katznelson, An introduction to harmonic analysis, Dover Publ., 2nd Ed., (1976).
- E. Weber, The geometry of sampling on unions of lattices, submitted, Proc. Am. Math. Soc., (2002).
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