My papers are all available here . Here is a listing, with links to the ArXiv version as well as to the final journal version if the paper is accepted. I've been fortunate to have a rich and active group of collaborators. By clicking on their last names below, you can visit their websites.
with R. V. Kohn, Transverse Magnetic ENZ Resonators: Robustness and Optimal Shape Design
arXiv preprint arXiv:2403.11242
with S. Steinerberger, Dirichlet eigenfunctions with nonzero mean value
arXiv preprint arXiv:2312.14122
with S. Armstrong, Optimal convergence rates for the spectrum of the graph Laplacian on Poisson point clouds arXiv preprint arXiv:2312.08149
Quantitative homogenization and large-scale regularity of Poisson point clouds (with Armstrong) arxiv version
Interaction energies in paranematic colloids (with Golovaty, Taylor and Zarnescu) arxiv version
Asymptotic expansion of the spectrum of periodic Schrodinger operators (with Armstrong) arxiv version
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions (with Alama, Bronsard, and Lamy) J. Nonlin. Sc. arxiv version
Complex Analytic Dependence on the Dielectric Permittivity in ENZ Materials: The Photonic Doping Example (with Kohn), accepted to CPAM. arxiv version
Anisotropic surface tensions for phase transitions in periodic media, (with Choksi, Fonseca and Lin), to appear in CalcVar & PDE. arxiv version ,
Least Wasserstein Distance between Disjoint Shapes under a Perimeter Regularization (with Novack and Topaloglu), submitted to J. Func. Anal. (2021) arxiv version
Homogenization of quasicrystalline functionals via two-scale-cut-and-project convergence, (with Ferreira and Fonseca), to appear in SIAM J. Math. Anal.(2020). arxiv version
Quantitative stability of Heisenberg-Pauli-Weyl inequality. (with McCurdy) J. Nonlinear Anal. arxiv version (2020)
Bounds on the Energy of a Soft Cubic Ferromagnet with Large Magnetostriction (with Dabade and James) J. Nonlin. Sc. arxiv version (2020)
A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants (with Golovaty, Novack, and Sternberg) Arch. for Rational Mech. Anal., arxiv version (2020)
A Ginzburg-Landau Type Problem for Highly Anisotropic Nematic Liquid Crystals. ( with Golovaty, Sternberg) SIAM J. Math. Anal. (2019) arxiv version
Micromagnetics of Galfenol. (with Dabade, and James) J. Nonlinear Sci.(2019)
Diffusive Stability of Spatially Periodic Solutions of the Brusselator Model, (with Sukhtayev, Zumbrun, and Jung), Comm. Math. Phys.(2018) arxiv version
Periodic orbits of Gross-Pitaevskii in the Disc with Vortices Following Point Vortex Flow. Calc. Var. Partial Differential Equations (2017) arxiv version
Evolution of Weak Shocks in One Dimensional Planar and Non-planar Gasdynamic Flows. (with Sharma) International Journal of Nonlinear Mechanics, Vol. 47, No. Oct. 2012 pp. 918-926. [Undergraduate Publication]. arxiv version
Conference proceedings:
with I. Fonseca and R. Ferreira Variational Homogenization: Old and New, Proceedings of the International Congress of Mathematicians, EMS Press, Berlin, 2023, 3724-3755.
with R. Cristoferi and I. Fonseca, Phase separation in Heterogeneous Media. Association for Women in Mathematics Series volume ``Research in the Mathematics of Materials Science''.