CV
Education
- Ph.D in Version Control Theory, GitHub University, 2018 (expected)
- M.S. in Jekyll, GitHub University, 2014
- B.S. in GitHub, GitHub University, 2012
Work experience
- Spring 2024: Academic Pages Collaborator
- GitHub University
- Duties includes: Updates and improvements to template
- Supervisor: The Users
- Fall 2015: Research Assistant
- GitHub University
- Duties included: Merging pull requests
- Supervisor: Professor Hub
- Summer 2015: Research Assistant
- GitHub University
- Duties included: Tagging issues
- Supervisor: Professor Git
Skills
- Skill 1
- Skill 2
- Sub-skill 2.1
- Sub-skill 2.2
- Sub-skill 2.3
- Skill 3
Publications
On the Construction of Scattering Matrices for Irregular or Elongated Enclosures Using Green’s Representation Formula
Carlos Borges, Leslie Greengard, Michael O’Neil, Manas Rachh, "On the Construction of Scattering Matrices for Irregular or Elongated Enclosures Using Green’s Representation Formula." Journal of Scientific Computing, 2025.
On quadrature for singular integral operators with complex symmetric quadratic forms
Jeremy Hoskins, Manas Rachh, Bowei Wu, "On quadrature for singular integral operators with complex symmetric quadratic forms." Applied and Computational Harmonic Analysis, 2025.
Integral formulation of Klein–Gordon singular waveguides
Guillaume Bal, Jeremy Hoskins, Solomon Quinn, Manas Rachh, "Integral formulation of Klein--Gordon singular waveguides." Communications on Pure and Applied Mathematics, 2025.
Integral equations for flexural-gravity waves: analysis and numerical methods
Travis Askham, Jeremy Hoskins, Peter Nekrasov, Manas Rachh, "Integral equations for flexural-gravity waves: analysis and numerical methods." arXiv preprint arXiv:2501.00887, 2025.
Equispaced Fourier representations for efficient Gaussian process regression from a billion data points
Philip Greengard, Manas Rachh, Alex Barnett, "Equispaced Fourier representations for efficient Gaussian process regression from a billion data points." SIAM/ASA Journal on Uncertainty Quantification, 2025.
Complex scaling for open waveguides
Charles Epstein, Tristan Goodwill, Jeremy Hoskins, Solomon Quinn, Manas Rachh, "Complex scaling for open waveguides." arXiv preprint arXiv:2506.10263, 2025.
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids
Alex Barnett, Philip Greengard, Manas Rachh, "Uniform approximation of common Gaussian process kernels using equispaced Fourier grids." Applied and Computational Harmonic Analysis, 2024.
Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data
Travis Askham, Carlos Borges, Jeremy Hoskins, Manas Rachh, "Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data." Journal of Scientific Computing, 2024.
Cytoplasmic stirring by active carpets
Brato Chakrabarti, Manas Rachh, Stanislav Shvartsman, Michael Shelley, "Cytoplasmic stirring by active carpets." Proceedings of the National Academy of Sciences, 2024.
Coordinate complexification for the Helmholtz equation with Dirichlet boundary conditions in a perturbed half-space
Charles Epstein, Leslie Greengard, Jeremy Hoskins, Shidong Jiang, Manas Rachh, "Coordinate complexification for the Helmholtz equation with Dirichlet boundary conditions in a perturbed half-space." arXiv preprint arXiv:2409.06988, 2024.
An adaptive h-refinement method for the boundary element fast multipole method for quasi-static electromagnetic modeling
William Wartman, Konstantin Weise, Manas Rachh, Leah Morales, Zhi-De Deng, Aapo Nummenmaa, Sergey Makaroff, "An adaptive h-refinement method for the boundary element fast multipole method for quasi-static electromagnetic modeling." Physics in Medicine & Biology, 2024.
A new version of the adaptive fast Gauss transform for discrete and continuous sources
Leslie Greengard, Shidong Jiang, Manas Rachh, Jun Wang, "A new version of the adaptive fast Gauss transform for discrete and continuous sources." SIAM Review, 2024.
Quantum electrodynamics of chiral and antichiral waveguide arrays
Jeremy Hoskins, Manas Rachh, John Schotland, "Quantum electrodynamics of chiral and antichiral waveguide arrays." Optics Letters, 2023.
Potential of fast multipole method for mesoscale and multiscale brain modeling: applicability to EEG, MEG, TES, TMS, and DBS
Manas Rachh, Vishwanath Iyer, Leslie Greengard, Samuel Zibman, Mohammad Daneshzand, Matti H{\"a}m{\"a}l{\"a}inen, Jyrki Ahveninen, Tommi Raji, Aapo Nummenmaa, Sergey Makaroff, "Potential of fast multipole method for mesoscale and multiscale brain modeling: applicability to EEG, MEG, TES, TMS, and DBS." Brain Stimulation: Basic, Translational, and Clinical Research in Neuromodulation, 2023.
On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary
Carlos Borges, Manas Rachh, Leslie Greengard, "On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary." Inverse Problems, 2023.
Integral formulation of Dirac singular waveguides
Guillaume Bal, Jeremy Hoskins, Solomon Quinn, Manas Rachh, "Integral formulation of Dirac singular waveguides." arXiv preprint arXiv:2312.16701, 2023.
Helmholtz boundary integral methods and the pollution effect
Jeffrey Galkowski, Manas Rachh, Euan Spence, "Helmholtz boundary integral methods and the pollution effect." preparation.(Cited on p. 814), 2023.
Fast adaptive high-order integral equation methods for electromagnetic scattering from smooth perfect electric conductors
Felipe Vico, Leslie Greengard, Michael O'Neil, Manas Rachh, "Fast adaptive high-order integral equation methods for electromagnetic scattering from smooth perfect electric conductors." arXiv preprint arXiv:2306.04473, 2023.
FMM-accelerated solvers for the Laplace–Beltrami problem on complex surfaces in three dimensions
Dhwanit Agarwal, Michael O’Neil, Manas Rachh, "FMM-accelerated solvers for the Laplace--Beltrami problem on complex surfaces in three dimensions." Journal of Scientific Computing, 2023.
FMM-LU: A fast direct solver for multiscale boundary integral equations in three dimensions
Daria Sushnikova, Leslie Greengard, Michael O’Neil, Manas Rachh, "FMM-LU: A fast direct solver for multiscale boundary integral equations in three dimensions." Multiscale Modeling & Simulation, 2023.
A neural network warm-start approach for the inverse acoustic obstacle scattering problem
Mo Zhou, Jiequn Han, Manas Rachh, Carlos Borges, "A neural network warm-start approach for the inverse acoustic obstacle scattering problem." Journal of Computational Physics, 2023.
A fast, high-order numerical method for the simulation of single-excitation states in quantum optics
Jeremy Hoskins, Jason Kaye, Manas Rachh, John Schotland, "A fast, high-order numerical method for the simulation of single-excitation states in quantum optics." Journal of Computational Physics, 2023.
A fast direct solver for surface-based whole-head modeling of transcranial magnetic stimulation
SN Makaroff, Z Qi, M Rachh, WA Wartman, Konstantin Weise, GM Noetscher, M Daneshzand, Zhi-De Deng, L Greengard, AR Nummenmaa, "A fast direct solver for surface-based whole-head modeling of transcranial magnetic stimulation." Scientific reports, 2023.
Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization
Carlos Borges, Manas Rachh, "Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization." Advances in Computational Mathematics, 2022.
High-Resolution EEG Source Reconstruction with Boundary Element Fast Multipole Method Using Reciprocity Principle and TES Forward Model Matrix
William Wartman, Tommi Raij, Manas Rachh, Fa-Hsuan Lin, Konstantin Weise, Thomas Knoesche, Burkhard Maess, Carsten Wolters, Matti H{\"a}m{\"a}l{\"a}inen, Aapo Nummenmaa, Sergey Makaroff, "High-Resolution EEG Source Reconstruction with Boundary Element Fast Multipole Method Using Reciprocity Principle and TES Forward Model Matrix." bioRxiv, 2022.
Debye source representations for type-I superconductors, I: The static type I case
Charles Epstein, Manas Rachh, "Debye source representations for type-I superconductors, I: The static type I case." Journal of Computational Physics, 2022.
Fast multipole methods for the evaluation of layer potentials with locally-corrected quadratures
Leslie Greengard, Michael O'Neil, Manas Rachh, Felipe Vico, "Fast multipole methods for the evaluation of layer potentials with locally-corrected quadratures." Journal of Computational Physics: X, 2021.
Fast multipole accelerated solvers for the Laplace-Beltrami problem in three dimensions
Dhwanit Agarwal, Michael O{\'N}eil, Manas Rachh, "Fast multipole accelerated solvers for the Laplace-Beltrami problem in three dimensions." arXiv preprint arXiv, 2021.
Analysis of single-excitation states in quantum optics
Jeremy Hoskins, Jason Kaye, Manas Rachh, John Schotland, "Analysis of single-excitation states in quantum optics." arXiv preprint arXiv:2110.07049, 2021.
On the solution of the Stokes equation on regions with corners
Manas Rachh, Kirill Serkh, "On the solution of the Stokes equation on regions with corners." Communications on Pure and Applied Mathematics, 2020.
On the solution of Laplace’s equation in the vicinity of triple junctions
Jeremy Hoskins, Manas Rachh, "On the solution of Laplace’s equation in the vicinity of triple junctions." Pure and Applied Analysis, 2020.
On the discretization of Laplace's equation with Neumann boundary conditions on polygonal domains
Jeremy Hoskins, Manas Rachh, "On the discretization of Laplace's equation with Neumann boundary conditions on polygonal domains." Journal of Computational Physics: X, 2020.
A fast boundary integral method for high-order multiscale mesh generation
Felipe Vico, Leslie Greengard, Michael O'Neil, Manas Rachh, "A fast boundary integral method for high-order multiscale mesh generation." SIAM Journal on Scientific Computing, 2020.
A boundary integral equation approach to computing eigenvalues of the Stokes operator
Travis Askham, Manas Rachh, "A boundary integral equation approach to computing eigenvalues of the Stokes operator." Advances in Computational Mathematics, 2020.
fmm3D documentation
Z Gimbutas, L Greengard, J Magland, M Rachh, V Rokhlin, "fmm3D documentation." Release 0.1. 0, 2019.
On the diffusion geometry of graph Laplacians and applications
Xiuyuan Cheng, Manas Rachh, Stefan Steinerberger, "On the diffusion geometry of graph Laplacians and applications." Applied and Computational Harmonic Analysis, 2019.
Talks
Conference Proceeding talk 3 on Relevant Topic in Your Field
Conference proceedings talk at Testing Institute of America 2014 Annual Conference, Los Angeles, CA, USA
Talk 2 on Relevant Topic in Your Field
Talk at London School of Testing, London, UK
Tutorial 1 on Relevant Topic in Your Field
Tutorial at UC-Berkeley Institute for Testing Science, Berkeley, CA, USA
Talk 1 on Relevant Topic in Your Field
Talk at UC San Francisco, Department of Testing, San Francisco, CA, USA
Teaching
Service and leadership
- Currently signed in to 43 different slack teams