Appointment
 Associate Professor of Mathematics, University of California, Davis
Education
 Ph.D., Mathematics, Yale University, 2007. Advisor: R.R. Coifman.
 B.S., Mathematics, University of Maryland, College Park, 2001.
 B.S., Computer Science, University of Maryland, College Park, 2001.
Research interests
 Numerical analysis, particularly the development of fast and highly accurate solvers for partial differential equations.
Recent grants
 UC Davis Chancellor's Fellowship, 20172022
 NSF DMS1418723, 20142017.
 Sloan Research Fellowship, 20122014.
 ONR N000141210117, 20112014 (coPI with Naoki Saito).
 ONR N000140910318, 20082011 (coPI with Naoki Saito).
Preprints and Publications
 19. An algorithm for the numerical evaluation of the associated Legendre functions that runs in time independent of degree and order. arXiv:1707.03287.
 18. An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments arxiv.org:1705.07820.

17. On the nonoscillatory phase function for Legendre's differential equation
(with V. Rokhlin).
Journal of Computational Physics, to appear. Download.

16. On the numerical calculation of the roots of special functions
satisfying second order ordinary differential
equations. SIAM Journal on Scientific Computing 39 (2017), pp A55A82. Download.

15. On the numerical solution of second order differential equations
in the highfrequency regime.
Applied and Computational Harmonic Analysis, to appear. Download.

14. Improved estimates for nonoscillatory phase functions
(with V. Rokhlin).
Discrete and Continuous Dynamical Systems, Series A 36 (2016), pp. 41014131. Download.

13. On the existence of nonoscillatory phase functions for second
order differential equations
in the highfrequency regime (with V. Rokhlin and Z. Heitman).
Journal of Computational Physics 290 (2015), pp. 127. Download.

12. On the asymptotics of Bessel functions in the Fresnel regime
(with Z. Heitman, V. Rokhlin, and B. Vioreanu).
Applied and Computational Harmonic Analysis, 39 (2015), pp. 347356. Download.

11. A highorder accelerated direct solver for integral equations on curved
surfaces (with A. Gillman and P.G. Martinsson ).
BIT Numerical Mathematics 55 (2015), pp. 367397. Download.

10. On the numerical evaluation of the singular integrals of scattering theory
(with Z. Gimbutas).
Journal of Computational Physics 251 (2013), pp. 327343. Download.

9. A Nyström method for weakly singular integral operators on surfaces
(with Z. Gimbutas).
Journal of Computational Physics, 231 (2012), pp. 48854903. Download.

8. A fast direct solver for the integral equations of scattering
theory on planar curves with corners.
Journal of Computational Physics, 231 (2012), pp. 18791899. Download.

7. On the Nyström discretization of integral equations on planar
curves with corners.
Applied and Computational Harmonic Analysis, 32 (2012), pp. 4564. Download.

6. An adaptive fast direct solver for boundary integral equations
in two dimensions (with W. Y. Kong and V. Rokhlin).
Applied and Computational Harmonic Analysis, 31 (2011), pp. 346369. Download.

5. Universal quadratures for boundary integral equations on twodimensional
domains with corners (with V. Rokhlin and I. Sammis).
Journal of Computational Physics, 229 (2010), pp. 82598280. Download.

4. A nonlinear optimization procedure for generalized Gaussian quadratures
(with V. Rokhlin and Z. Gimbutas).
 SIAM Journal of Scientific Computing, 32 (2010), pp. 17611788. Download.

3. Efficient discretization of Laplace boundary integral equations
on polygonal domains (with V. Rokhlin).
 Journal of Computational Physics, 229 (2010), pp. 25072525. Download.

2. Diffusion wavelet packets (with R.R. Coifman, M. Maggioni and A. Szlam).
 Applied and Computational Harmonic Analysis, 21 (2006), pp. 95112. Download.

1. Biorthogonal diffusion wavelets for multiscale representations on manifolds and graphs
(with R.R. Coifman, M. Maggioni and A. Szlam).
 SPIE Wavelet XI, August 2005. Download.