My research interests are in Analysis, Data Science, and the scholarship of teaching. A list of currently active and recent funding awards includes:
- NSF Awards: #2219959, #2152117, #1934884, #1830254, #1743819.
- NOAA Grant: HWT #2779583
- Iowa Space Grant Consortium
Data Science:
I am interested in data science from a functional analytic viewpoint. This includes approximation properties of neural networks, distributed computation for analysis of large datasets, and the melding of time-frequency analysis and topological data analysis. I have received two NSF research awards from the "Algorithms for Threat Detection" program (Award #2219959, Award #1803254). You can read more about our ATD project under the tab above.
I am part of the TRIPODS award at Iowa State University: HDR TRIPODS: D4 (Dependable Data-Driven Discovery) Institute (Award #1934884).
Teaching of Data Science:
With my collaborator Heather Gallivan at the University of Northern Iowa, we are working to prepare future mathematics teachers to teach data science at the secondary level. We have designed a short 6 week module that focuses on data science concepts from a mathematics perspective specifically for pre-service teachers. We’ve written about our ideas for the why and how to prepare high school mathematics teachers to teach data science here: Artificial Intelligence, Data Literacy, and Preservice Mathematics Teacher Training. We will be presenting our curriculum and initial evaluation of its effectiveness in the near future. This effort is supported by the Iowa Space Grant Consortium (ISGC).
Analysis:
I am interested in harmonic analysis in general, and harmonic analysis of fractals in particular. Harmonic Analysis on fractals often is referred to as "Nonsmooth Harmonic Analysis", and we held a CBMS conference on this topic in June 2018, with financial support from NSF. Please click on "CBMS 2018" in the menu above for more information.