Here at the Courant Institute of Mathematical Sciences, my postdoctoral research centers
(1) numerical modeling of anisotropic crystal step motion in the presence of impurities (with Robert V. Kohn), and
(2) modeling of kinetic effects in simple colloidal DNA systems (with Miranda C. Holmes-Cerfon).
Work building off my graduate research at Columbia University (with Michael I. Weinstein), focuses on a novel bifurcation analysis of "edge states" in electronic (Schrödinger) and photonic (Maxwell) models. .
JPLT, M Holmes-Cerfon, Modeling the relative dynamics of DNA-coated colloids, to appear in Soft Matter. arXiv
JPLT, MI Weinstein, Y Zhu, Elliptic operators with honeycomb symmetry: Dirac points, Edge States and Applications to Photonic Graphene, Archive for Rational Mechanics and Analysis (2018): 1-63. journal | arXiv
JPLT, AG Shtukenberg, RV Kohn, Effect of step anisotropy on crystal growth inhibition by immobile impurity stoppers, Crystal Growth & Design 17 (2017): 5474-5487. journal
JPLT, I Vukićević, J Yang, X Xu, CL Fefferman, CW Wong, MI Weinstein, Photonic realization of topologically protected bound states in domain-wall waveguide arrays Physical Review A 93 (2016): 033822. journal | arXiv
Y Poo, JPLT, Y Tan, R Wu, MI Weinstein, Z Yu, Observation of highly robust phase-defect induced photonic states, Conference on Lasers and Electro-Optics (CLEO) (2016). technical digest
JPLT, I Vukicevic, J Yang, X Xu, CL Fefferman, CW Wong, MI Weinstein, Photonic
realization of topologically protected bound states in domain-wall waveguide arrays,
Conference on Lasers and Electro-Optics (CLEO) (2016).