Research

Order in the Court! Spectral theory for an introductory linear algebra class, with Martin Montgomery. In Teaching Mathematics Through Cross-Curricular Projects, MAA Classroom Resource Materials. Forthcoming.

From graduate school to tenure: Building my career with the help of the AWM. In Fifty Years of Women in Mathematics, pages 219-225. Springer, 2022.

Estimates for Brascamp-Lieb forms in Lp-spaces with power weights, with R. M. Brown and C. W. Lee. Proceedings of the American Mathematical Society, 149(2): 747-760, 2021. 

Correction to: The Mixed Problem for the Laplacian in Lipschitz Domains, with R. Brown. Potential Analysis, 54(1): 2130217, 2021. 

Invertibility properties of singular integral operators associated with the Lamé and Stokes systems on infinite sectors in two dimensions, with I. Mitrea and W. Tucker. Integral Equations and Operator Theory, 89(2): 151-207, 2017.

On the invertibility of singular integral operators associated with the Zaremba problem in polygonal domains, with H. Awala and I. Mitrea. In Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science (Novel Methods in Harmonic Analysis, Volume 2), pages 719-751. Springer, 2017. 

Mathematics, Live! Contemporary perspectives on a life and career in mathematics. In Women in Mathematics: 100 Years and Counting,  pages 175-293. Springer, 2017. 

Action of a scattering map on weighted Sobolev spaces in the plane, with R. Brown and P. Perry,.Journal of Functional Analysis, 271(1): 85-106, 2016. 

The Green function for the mixed problem for the linear Stokes system in domains in the plane, with R. Brown and S. Kim. Mathematische Nachrichten, 288(4): 452-464, 2015.  

The mixed problem for the Lamé system in two dimensions, with R. Brown. Journal of Differential Equations, 254(12): 4373-4400, 2013.  

The mixed problem in Lipschitz domains with general decompositions of the boundary, with R. Brown and J. Taylor. Transactions of the American Mathematical Society, 365(6): 2895-2930, 2013.  

The mixed problem for the Laplacian in Lipschitz domains, with R. Brown. Potential Analysis, 38(4): 1333-1364, 2013.  

Spectral properties of the reflection operator in two dimensions, with I. Mitrea and E. Stachura. In Recent Advances in Harmonic Analysis and Partial Differential Equations, volume 581 of Contemporary Mathematics, pages 199-215,. American Mathematical Society, Providence, RI, 2012. 

Spectral theory and iterative methods for the Maxwell system in nonsmooth domains, with I. Mitrea. Mathematische Nachrichten, 283(6): 784-804, 2010.  

Electromagnetic scattering from perturbed surfaces, with I. Mitrea. Mathematical Methods in the Applied Sciences 30(7): 861-876, 2007.  

Counterexamples to the well-posedness of Lp transmission boundary value problems for the Laplacian, with I. Mitrea. Proceedings of the American Mathematical Society, 135(7): 2037-2043, 2007. 

Bi-parameter paraproducts, after C. Muscalu, J. Pipher, T. Tao and C. Thiele, proceedings for the 2009 Mathematical Research Community and Summer School on Harmonic Analysis, Carleson Theorems, and Multilinear Analysis, Snowbird Resort Utah (2009). PDF

Blind image deconvolution: Motion blur estimation, with F. Krahmer, Y. Lin, B. McAdoo,  J. Wang, D. Widemann, and B. Wohlberg (Mentor), technical report for the Mathematical Modeling in Industry X Workshop, Institute for Mathematics and its Applications, Minneapolis, MN (2006).