William Chauvenet Postdoctoral Lecturer
NSF Postdoctoral Fellow
Department of Mathematics and Statistics
Washington University in St. Louis
awgreen at wustl.edu
Cupples I Room 207B
My wife (Kristina),
our two children,
and me. Fall 2023.
I currently work in the harmonic analysis group at Washington University in St. Louis, where my postdoctoral mentor is Brett Wick. In May 2020, I received my PhD in Mathematical Sciences from Clemson University under the direction of Shitao Liu and Mishko Mitkovski. My research interests are in harmonic analysis and its applications to PDEs, specifically control theory and quasiconformal regularity.
Observability of the heat equation from very small sets
with Kévin Le Balc'h, Jérémy Martin, and Marcu-Antone Orsoni
preprint. arXiv
Multilinear paraproducts on Sobolev spaces
with Francesco Di Plinio and Brett D. Wick
submitted. arXiv
Multilinear wavelet compact T(1) theorem
with Anastasios Fragkos and Brett D. Wick
submitted. arXiv
Quantitative Sobolev regularity of quasiregular maps
with Francesco Di Plinio and Brett D. Wick
submitted. arXiv
Wavelet resolution and Sobolev regularity of Calderón-Zygmund forms on domains
with Francesco Di Plinio and Brett D. Wick
submitted. arXiv
Weighted estimates for the Bergman projection on planar domains
with Nathan A. Wagner
accepted to Trans. Amer. Math. Soc. arXiv
Dominating sets in Bergman spaces on strongly pseudoconvex domains
with Nathan A. Wagner
Constr. Approx. 59, (2024) arXiv journal
Invertibility of positive Toeplitz operators and associated uncertainty principle
with Mishko Mitkovski
J. Fourier Anal. Appl. 29, No. 4 (2023) arXiv journal
Bilinear wavelet representation of Calderón-Zygmund forms
with Francesco Di Plinio and Brett D. Wick
Pure Appl. Anal. 5, No. 1 (2023) arXiv journal
Source reconstruction and stability via boundary control of abstract viscoelastic systems
with Shitao Liu
Appl. Anal. 101, No. 14 (2022) arXiv journal
Uncertainty principles associated to sets satisfying the geometric control condition
with Benjamin Jaye and Mishko Mitkovski
J. Geom. Anal. 32, No. 3 (2022) arXiv journal
On the energy decay rate of the fractional wave equation on ℝ with relatively dense damping
Proc. Amer. Math. Soc. 148, No. 11 (2020). arXiv journal
Boundary observability of a visco-elastic wave equation
with Shitao Liu and Mishko Mitkoski