Profile for Susan Kelly

Susan Kelly profile photo

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 (MTH 407)

Prealculus (MTH 151)

 

 

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

Professional history

Ph.D. Mathematics, Washington University 

M.A. Mathematics,Washington University (St. Louis) 

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

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.

Kudos

presented

Susan Kelly, Mathematics & Statistics and Richard Breaux, Race, Gender and Sexuality Studies, presented "First, But Not Last: Celebrating the Centennial of the First African-American Woman Doctorates" at 106TH Annual meeting of the Association for the Study of African American Life and History (ASALH) on Tuesday, Sept. 14 online. ASALH is the oldest professional organizations dedicated to researching, documenting, and preserving the history of peoples of African descent in the United States (est. 1915).

Submitted on: Sept. 14

 

designed

Susan Kelly, Mathematics & Statistics, designed nine ink and color pencil portraits for "The Association for Women in Mathematics Notable Women in Math playing cards". The deck is being created to celebrate the 50th anniversary of the organization. The deck will feature 64 mathematicians in total and is planned to be released in June 2021.

Submitted on: Jan. 12

 

published

Susan Kelly, Mathematics & Statistics, co-authored the article "Guido Weiss: From immigrant boy to internationally renowned mathematician" in Journal of Geometric Analysis, Special Issue Dedicated to Guido L. Weiss and was accepted for publication by Springer. This paper was written with co-author Dr. Rodolfo Torres, Vice Chancellor for Research and Economic Development at the University of California Riverside. The paper presents the life of Professor Guido Weiss, who came to the United States as a ten-year old Jewish refugee from Italy during WWII and became an internationally respected mathematician, whose research and teaching career spanned over sixty years of active work. The paper highlighted many of his most important contributions to the field of Harmonic Analysis. Kelly's research was funded with a 2020 UWL Faculty Research Grant.

Submitted on: Nov. 9, 2020

 

presented

Susan Kelly, Mathematics & Statistics, presented "In Honor of Women's History Month-Two Women in Mathematics" at Harris-Stowe State University on Mar. 26, 2018 in St Louis, Missouri.

Submitted on: Mar. 26, 2018

 

presented

Susan Kelly, Mathematics & Statistics, presented "Two Women in Mathematics who helped create a Path for Others" at Iowa State University on Mar. 26, 2018 in Ames, Iowa.

Submitted on: Mar. 26, 2018