awgreen@wustl.edu

Cupples I Room 10

I am currently a Chauvenet Postdoc at Washington University in St. Louis working in the harmonic analysis group under the supervision of Francesco Di Plinio and Brett Wick. I graduated with my PhD in Mathematical Sciences from Clemson University in May 2020 under the direction of Shitao Liu and Mishko Mitkovski. My research interests are in harmonic analysis and its applications to PDEs, specifically control and inverse problems.

- Positivity of Toeplitz Operators Associated to Berezin Quantization (with Mishko Mitkovski), preprint. arXiv
- Dominating Sets in Bergman Spaces on Strongly Pseudoconvex Domains (with Nathan Wagner), submitted. arXiv
- Bilinear Wavelet Representation of Calderón-Zygmund Forms (with Francesco Di Plinio and Brett D. Wick), submitted. arXiv

- Uncertainty Principles Associated to Sets Satisfying the Geometric Control Condition (with Benjamin Jaye and Mishko Mitkovski), to appear in Journal of Geometric Analysis. arXiv
- Source Reconstruction and Stability via Boundary Control of Abstract Viscoelastic Systems (with Shitao Liu), to appear in Applicable Analysis. arXiv
- On the Energy Decay Rate of the Fractional Wave Equation on R with Relatively Dense Damping, Proceedings of the AMS, 2020. arXiv
- Boundary Observability of a Visco-Elastic Wave Equation (with Shitao Liu and Mishko Mitkoski), SIAM J. Control and Optimization, 2019. PDF

- Bilinear Wavelet Representation of CZ Forms. U. Alabama Analysis Seminar.
- Dominating Sets in Bergman Spaces on Domains. 30th St. Petersburg Summer Meeting in Mathematical Analysis.
- Positivity of Some Toeplitz Operators. WUSTL Analysis Seminar.
- On the Energy Decay Rate of the Fractional Wave Equation with Relatively Dense Damping, SIAM PDE 2019.
- Control Theory for PDEs and Uncertainty Principles, Interpolation in Spaces of Analytic Functions, CIRM 2055.
- Control and Inverse Problem for Viscoelastic Wave Equation, AMS Southeastern Sectional 2019.
- Brownian Rotation of Magnetized Particles in MPI, Clemson Analysis Seminar.

- Fall 2021: Calculus II
- Spring 2021: Mathmematics for the Physical Sciences.