# Susan Kelly

## Specialty area(s)

My areas of research are Harmonic Analysis and Mathematics History on the Roles of Women and Minorities in Mathematics. I work with undergraduates on much of this research.

Student Research topics:

Analysis Research:

One area of specialty for me is Harmonic Analysis. This is a topic that students can study after some background in Real Analysis or Mathematical Physics and Linear Algebra. Several of my papers can be read by students. One paper students may want to see is my paper on the mathematics of how compact discs are made Compact Discs and Sampling Theory . This paper explains how the Shannon Sampling Theorem (discovered in the 1940's) is used to Design Compact Discs. It was published in the UMAP Journal. If you cannot gain access to the paper at the above link, you could also ask me for a copy. Student research projects in analysis have been done in Wavelet theory and Fourier Analysis. One student project in Harmonic Analysis can be found at Student Analysis Paper . This paper discusses some of the relationships between music and mathematics.

Math History Research (Roles of Women and Minorities in Mathematics):

I also work with students on Math history projects which focus on women and minorities. This is an area that students can work in even early in their studies. The following paper was published in the Notices of the American Mathematical Society and was also translated for distribution in China: Notices Article . Another sample paper with students presents research that was presented at the NCUR (National Conference of Undergraduate Research) in 2013 and published in the proceedings of that conference and in the UW-L Journal of Undergraduate Research: Student Math History Article . Another paper I did with a student in this area will be published in the Notices of the American Mathematical Society in October 2017.

If you are interested in research in Analysis or Math History, please come talk to me.

## Brief biography

Outside of work, I enjoy oil and water color painting as well as photography. Snow skiing, water sports and biking are some activties I do with my family and love to travel when I get the opportunity. I enjoy gardens, but I don't think I would miss the weeding. I am a big fan of science and love hearing about new explorations and discoveries.

## Current courses at UWL

Real Analysis I (407)

Calculus I (MTH 207)

## Education

Ph.D. in Mathematics, Washington University

M.A. in Mathematics, Washington University in St. Louis

B.S. Mathematics and Physics, University of Wisconsin Eau Claire

Ph. D. Dissertation: Pointwise Convergence for Wavelets

A more interesting history can be found by looking at the genealogy of my teachers Who were my teachers teachers?

## Teaching history

Courses Taught at UW-L

Real Analysis I and II

Mathematical Physics

Complex Analysis

Differential Equations

Linear Algebra

Mathematical Logic

Calculus I - III

Applied Calculus

Precalculus

Elementary Statistics

College Algebra

## Research and publishing

Selected Publications:

S. Kelly*, *C. Shinner, K. Zoroufy,* Euphemia Lofton Haynes – Bringing Public Education Closer to the Goal of Perfection* – Published as one of the featured articles in the Notices of the American Mathematical Society, October 2017.

S. Kelly, C. Shinner, K. Zoroufy, Euphemia Lofton Haynes – Bringing Public Education Closer to the Goal of Perfection, Notices of the American Mathematical Society, to be published in October 2017. (A longer version of this paper is published in the Cornell archive web site arXiv arXiv:1703.00944 [math.HO] )

S. Kelly, S. Rozner*, Winifred Edgerton Merrill: “She Opened the Door”, Notices of the American Mathematical Society, Volume 59, Number 4 (April 2012) 505-512. *S. Rozner worked on part of this project as an undergraduate research project. Selected in 2013 to be translated to Chinese and published in the Mathematical Advance in Translation, a non-profit translation journal which is sponsored by the Academy of Mathematics and Systems Science (Chinese Academy of Science).

S. Kelly, S. Rozner*, Winifred Edgerton Merrill: The First American Women to Receive a Ph.D. in Mathematics, Midwest History Conference Proceedings (2008) 27-39 and featured on cover of the proceedings.

S. Kelly, Fifteen Years of Girls Science Program … Now also Boys, UW-L CSAH Newsletter, winter 2014.

S. Kelly, J. Walker. Efficient Signal Transmission and Wavelet-based Compression, The Journal of Undergraduate Mathematics and Its Applications, Volume 24, Number 4 (2003) 395-416.

S. Kelly, R. LeDocq, Incorporating Writing in an Integrated Calculus, Linear Algebra and Differential Equations Sequence, Primus, Volume 11, Number 1 (2001) 67-78.

S. Kelly, Using the Shannon Sampling Theorem to Design Compact Discs, The Journal of Undergraduate Mathematics and Its Applications, Vol 21, Number 2 (2000) 157-166.

S. Kelly, Gibbs Phenomenon for Wavelet, Applied and Computational Harmonic Analysis, Number 3 (1996) 72-81.

S. Kelly, M. Kon and L. Raphael, Local Convergence for Wavelet Expansions, Journal of Functional Analysis, Vol 126, Number 1 (1994) 102-138.

S. Kelly, Gibbs Phenomenon for Wavelet Expansions of a Function, Proceedings of the 14th IMACS World Congress on Computational and Applied Mathematics 1994.

S. Kelly, M. Kon and L. Raphael, Pointwise Convergence of Wavelet Expansions, Bulletin of the American Mathematical Society, Vol. 30, Number 1 (1994) 87 - 94.

## Important links

I am the science coordinators for the UW-L Girls in Science program and the Boys Science Exploration Week. Both programs are for students who have just finished grades 5-7. Students participated in several hands-on workshops taught by UW-L science and mathematics faculty. For more information on this program, you can contact me or Continuing Education at UW-L. More information can also be found at UW-L Youth Programs .