Sep 2020 - | Associate Professor of Mathematics | Courant Institute, NYU |
Sep 2018 - Aug 2019 | Visiting Assistant Professor of Mathematics | MIT |
Sep 2014 - Aug 2020 | Assistant Professor of Mathematics | Courant Institute, NYU |
Sep 2012 - Aug 2014 | Courant Instructor | Courant Institute, NYU |
Sep 2010 - Aug 2012 | Associate Research Scientist | Courant Institute, NYU |
Aug 2007 - Jul 2020 | Quant Researcher / Assistant Trader | Susquehanna International Group, LLP |
Dec 2007 | PhD Applied Mathematics | Yale University |
May 2003 | AB Mathematics | Cornell University |
Daria Sushnikova
Graduate Students
Paul Beckman
Tristan Goodwill
Dhairya
Malhotra (Flatiron Institute)
Yuwei Jiang
Sunli Tang (Uber)
Please contact me for more info.
High-fidelity fast algorithms for inverse problems
and imaging in three dimensions O'Neil (PI) and Borges (PI, UCF), Office of Naval Research Award #N00014-21-1-2383, 9/1/21 - 8/31/24 |
Hidden Symmetries and Fusion Energy A. Bhattacharjee (PI), Cerfon (Co-I), O'Neil (Co-I), et. al., Simons Foundation, 6/1/18 - 5/31/22 |
Multi-level randomized algorithms for high-frequency
wave propagation Greengard (PI) and O'Neil (Co-I), Office of Naval Research Award #N00014-18-1-2307, 6/1/18 - 5/31/22 |
Toward real-time electromagnetic design: Fast,
accurate, and robust integral equation-based
solvers O'Neil (PI), Office of Naval Research Award #N00014-17-1-2451, 6/1/17 - 5/31/20 |
Fast high-order CAD-compatible Nystrom methods for
frequency domain electromagnetics O'Neil (PI), Office of Naval Research Award #N00014-17-1-2059, 1/1/17 - 12/31/19 |
An integral equation-based solver for the
Laplace-Beltrami operator on triangulated
surfaces O'Neil (PI), Office of Naval Research Award #N00014-15-1-2669, 7/1/2015 - 6/30/2016 |
Fast analysis-based computational methods for
statistics O'Neil (PI), AIG NYU-AIG Partnership on Innovation for Global Resilience, 9/1/2014 - 8/31/2015 |
Fast multipole methods for the evaluation
of layer potentials with locally-corrected
quadratures L. Greengard, M. O'Neil, M. Rachh, and F. Vico, submitted, 2020. arXiv:2006.02545 |
A fast boundary integral method for
high-order multiscale mesh generation F. Vico, L. Greengard, M. O'Neil, and M. Rachh, SIAM J. Sci. Comput., 42(2):A1380-A1401, 2020. journal arXiv:1909.13356 |
Efficient high-order singular quadrature
schemes in magnetic fusion D. Malhotra, A. J. Cerfon, M. O'Neil, and E. Toler, Plasma Phys. Control. Fusion, 62(2):024004, 2019. journal arXiv:1909.07417 |
Taylor States in Stellarators: A Fast
High-order Boundary Integral Solver D. Malhotra, A. J. Cerfon, L.-M. Imbert-Gerard, and M. O'Neil, J. Comput. Phys., 397:108791, 2019. journal arXiv:1902.01205 |
An FFT-accelerated direct solver for
electromagnetic scattering from penetrable
axisymmetric objects J. Lai and M. O'Neil, J. Comput. Phys., 390:152-174, 2019. journal arXiv:1810.07067 |
A high-order wideband direct
solver for electromagnetic scattering
from bodies of revolution C. L. Epstein, L. Greengard, and M. O'Neil, J. Comput. Phys., 387:205-229, 2019. journal arXiv:1708.00056 |
Second-kind integral equations for the
Laplace-Beltrami problem on surfaces
in three dimensions M. O'Neil, Adv. Comput. Math., 44(5): 1385-1409, 2018. journal (open-access) |
A new hybrid integral representation for
frequency domain scattering in layered media J. Lai, L. Greengard, and M. O'Neil, Appl. Comput. Harm. Anal., 45(2):359-378, 2018. journal arXiv:1507.03491 |
An integral equation-based numerical
solver for Taylor states in toroidal
geometries M. O'Neil and A. Cerfon, J. Comput. Phys., 359:263-282, 2018. journal arXiv:1611.01420 |
Accurate and efficient numerical
calculation of stable densities
via optimized quadrature and asymptotics S. Ament and M. O'Neil, Stat. Comput., 28(1):171-185, 2017. journal (open-access) |
Fast algorithms for Quadrature by
Expansion I: Globally valid expansions M. Rachh, A. Klöckner, and M. O'Neil, J. Comput. Phys., 345:706-731, 2017. journal arXiv:1602.05301 |
Robust integral formulations for
electromagnetic scattering from three-dimensional
cavities J. Lai, L. Greengard, and M. O'Neil, J. Comput. Phys., 345:1-16, 2017. journal arXiv:1606.03599 |
Fast symmetric factorization of
hierarchical matrices with
applications S. Ambikasaran, M. O'Neil, and K. R. Singh, technical report, 2016. arXiv:1405.0223 |
Smoothed corners and scattered
waves C. L. Epstein and M. O'Neil, SIAM J. Sci. Comput., 38(5):A2665-A2698, 2016. journal arXiv:1506.08449 |
Fast Direct Methods for Gaussian
Processes S. Ambikasaran, D. Foreman-Mackey, L. Greengard, D. W. Hogg, and M. O'Neil, IEEE Trans. Pattern Anal. Mach. Intell., 38(2):252-265, 2016. journal arXiv:1403.6015 |
Debye Sources, Beltrami Fields, and a Complex
Structure on Maxwell Fields C. L. Epstein, L. Greengard, and M. O'Neil, Comm. Pure Appl. Math. 68(12):2237-2280, 2015. journal arXiv:1308.5425 |
Exact axisymmetric Taylor states for
shaped plasmas A. Cerfon and M. O'Neil, Phys. Plasmas 21, 064501, 2014. journal arXiv:1406.0481 |
A generalized Debye source approach to electromagnetic
scattering in layered
media M. O'Neil, J. Math. Phys. 55, 012901, 2014. journal arXiv:1310.4241 |
On the efficient representation of the
impedance Green's function for the Helmholtz
equation M. O'Neil, L. Greengard, and A. Pataki, Wave Motion 51(1):1-13, 2014. journal arXiv:1109.6708 |
Quadrature by Expansion: A New Method for
the Evaluation of Layer
Potentials A. Klöckner, A. Barnett, L. Greengard, and M. O'Neil, J. Comput. Phys. 252:332-349, 2013. journal arXiv:1207.4461 |
A fast, high-order solver for the
Grad-Shafranov equation A. Pataki, A. J. Cerfon, J. P. Freidberg, L. Greengard, and M. O'Neil, J. Comput. Phys. 243:28-45, 2013. journal arXiv:1210.2113 |
A consistency condition for the vector potential in
multiply-connected domains C. L. Epstein, Z. Gimbutas, L. Greengard, A. Klöckner, and M. O'Neil, IEEE Trans. Magn. 49(3):1072-1076, 2013. journal arXiv:1203.3993 |
Debye sources and the numerical solution of the time
harmonic Maxwell equations, II C. L. Epstein, L. Greengard, and M. O'Neil, Comm. Pure Appl. Math. 66(5):753-789, 2013. journal arXiv:1105.3217 |
An algorithm for the rapid evaluation of special
function transforms M. O'Neil, F. Woolfe, and V. Rokhlin, Appl. Comput. Harmon. Anal. 28(2):203-226, 2010. journal |
Slow passage through resonance in Mathieu's
equation L. Ng, R. H. Rand, and M. O'Neil, J. Vib. Control 9(6):685-707, 2003. journal |
Semester | Number | Title |
---|---|---|
Sp 2021 | MA 6963 | Statistics |
Fa 2020 | MATH 2011 | Fast solvers |
Fa 2020 | MATH 233 | Theory of probability |
Sp 2020 | MA 4424 | Numerical analysis |
Fa 2019 | MATH 262 | Ordinary differential equations |
Sp 2019 | MATH 2840 | Computational methods for integral equations |
Sp 2018 | MATH 252 | Numerical analysis |
Fa 2017 | MATH 2011 | Integral equations and fast algorithms |
Fa 2016 | MA 2034 | Linear algebra and differential equations |
Sp 2016 | MA 4423 | Introductory numerical analysis |
Fa 2015 | MATH 2830 | Fast analysis-based algorithms |
Sp 2015 | MA 4423 | Introductory numerical analysis |
Fa 2014 | DS 1006 | Capstone project in Data Science |
Sp 2014 | MATH 234 | Mathematical statistics |
Fa 2013 | MATH 2011 | Data Science Projects |
Sp 2013 | MATH 234 | Mathematical statistics |
Fa 2012 | MATH 140 | Linear Algebra |
Sp 2012 | MATH 140 | Linear Algebra |