[ Research interests ]

Computational physics and electromagnetics, fast algorithms, integral equations, special functions, direct solvers, high-order quadratures, numerical analysis, numerical conformal mapping

Research group website

[ Publications ]

Quadrature by Expansion: A New Method for the Evaluation of Layer Potentials
(with A. Klöckner, A. Barnett, and L. Greengard), submitted. [ arXiv:1207.4461 ]

On the efficient representation of the impedance Green's function for the Helmholtz equation
(with L. Greengard and A. Pataki), Wave Motion. [ pdf ] [ arXiv:1109.6708 ]

A fast, high-order solver for the Grad-Shafranov equation
(with A. Pataki, A. J. Cerfon, J. P. Freidberg, and L. Greengard), J. Comput. Phys. 243:28-45, 2013. [ pdf ] [ arXiv:1210.2113 ]

A consistency condition for the vector potential in multiply-connected domains
(with C. L. Epstein, Z. Gimbutas, L. Greengard, and A. Klöckner), IEEE Trans. Magn. 49(3):1072-1076, 2013. [ pdf ] [ arXiv:1203.3993 ]

Debye sources and the numerical solution of the time harmonic Maxwell equations, II
(with C. L. Epstein and L. Greengard), Comm. Pure Appl. Math., 66(5):753-789, 2013. [ pdf ] [ arXiv:1105.3217 ]

An algorithm for the rapid evaluation of special function transforms
(with F. Woolfe and V. Rokhlin), Appl. Comput. Harmon. Anal. 28(2):203-226, 2010. [ pdf ]

A new class of analysis-based fast transforms: With applications to classical integral transforms and special function expansions
Lambert Academic Publishing, 2009. [ buy ]

Slow passage through resonance in Mathieu's equation
(with L. Ng and R. Rand), J. Vib. Control 9(6):685-707, 2003. [ pdf ]

[ Teaching ]

MATH 234: Mathematical Statistics, Spring 2013, Courant Institute, NYU

MATH 140: Linear Algebra, Spring & Fall 2012, Courant Institute, NYU