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Dr. Li-An Daniel Wang

Dr. Li-An Daniel Wang is a senior research associate with the Data Science and Artificial Intelligence (DSAI) group at IMPAQ International. He provides mathematical expertise to applied problems using tools from probability theory and harmonic analysis.

Expertise

Dr. Wang’s research area is harmonic analysis, an area that provides the theoretical framework for much of applied mathematics. In applied mathematics, Dr. Wang has worked with the DSAI team for the last few years in the dissemination of new and existing mathematical theories, from the applications of stochastic differential equations to influence maximizations.

In pure mathematics, Dr. Wang's research is in the Fourier analysis of nonclassical function spaces: Anisotropic Hardy spaces, weighted theory, and variable function spaces. He has also extended the theory of Hardy spaces to the variable setting and reformulated the classical theory of extrapolation to accommodate these new spaces by creating a general framework that produces both existing theory as well as new theory adapted to the variable setting. This framework is now used to systematically extend extrapolation theory to many other new settings

Clients

Dr. Wang has worked with the Office of Compliance and Enforcement of the Food and Drug Administration on tobacco prevention research and the Agency for Healthcare Research and Quality on participation in the Supplemental Nutrition Assistance Program.

Prior Experience

Prior to joining IMPAQ, Dr. Wang was an assistant professor of mathematics in the department of mathematics and statistics at Sam Houston State University, where he first worked with members of the IMPAQ DSAI team. Prior to that position, he was the Harold Dorwart Visiting Professor of Mathematics at Trinity College in Hartford, CT.

Education

Dr. Baker earned his Ph.D. from the University of Oregon in mathematics in 2012. He received his bachelor’s degree from the University of British Columbia in 2005.

IMPAQ Publications and Presentations

Kingi, H., Wang, L-A. D., Shafer, T., Hyunh, M., Trinh, M., Heuser, A., Rochester, G., & Paredes, A. (2020). A numerical evaluation of the accuracy of influence maximization algorithms. Social Network Analysis and Mining, 10(1), 1–10. https://doi.org/10.1007/s13278-020-00680-5.

Wang, L-A.D. (2017, November). Application of Ito calculus and applications to tobacco sciences [Presentation]. IMPAQ-FDA Joint seminar, Columbia, MD.

Previous Publications and Presentations

Wang, L-A.D. (2018). A multiplier theorem on anisotropic Hardy spaces. Canadian Mathematical Bulletin, 61(2), 390–404.

Wang, L-A.D. & Cruz-Uribe, D. (2016). Extrapolation on weighted variable Lebesgue spaces. Transactions of the American Mathematical Society, 369, 1205–1235.

Wang, L-A.D. and Cruz-Uribe, D. (2014). Variable Hardy Spaces. Indiana University Mathematics Journal, 63(2).