I am currently on the job market for the 2025-2026 cycle. My research statement is available here.

Ruchi Sandilya

I am a postdoctoral researcher in the Grosenick Lab at Weill Cornell Medicine, working at the intersection of applied mathematics, generative AI, and biomedical neural engineering. My research focuses on solving complex challenges in neuroscience to advance biomedical science and improve our understanding of the brain.

Home

Publications

Research

CV

Peer-Reviewed Publications (in Reverse Chronological Order)

  1. Generalizing CNNs to graphs with learnable neighborhood quantization
    Isaac Osafo Nkansah, Neil Gallagher, Ruchi Sandilya, Conor Liston, Logan Grosenick
    38th Conference on Neural Information Processing Systems (NeurIPS 2024)
    Paper (PDF)
  2. Numerical stabilization of the Boussinesq system using boundary feedback control
    Praveen Chandrashekar, Mythily Ramaswamy, Jean-Pierre Raymond, Ruchi Sandilya
    Computers & Mathematics with Applications, 2021
    Paper (PDF)
  3. Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity
    Sarvesh Kumar, Ricardo Oyarzúa, Ricardo Ruiz-Baier, Ruchi Sandilya
    ESIAM: Mathematical Modelling and Numerical Analysis, 2019
    Paper (PDF)
  4. Error bounds for discontinuous finite volume discretizations of Brinkman optimal control problems
    Sarvesh Kumar, Ricardo Ruiz-Baier, Ruchi Sandilya
    Journal of Scientific Computing, 2018
    Paper (PDF)
  5. Mixed and discontinuous finite volume element schemes for the optimal control of immiscible flow in porous media
    Sarvesh Kumar, Ricardo Ruiz-Baier, Ruchi Sandilya
    Computers & Mathematics with Applications, 2018
    Paper (URL)
  6. On discontinuous interpolated finite volume approximations for semilinear elliptic optimal control problems
    Ruchi Sandilya, Sarvesh Kumar
    Numerical Methods for Partial Differential Equations, 2017
    Paper (PDF)
  7. Trajectory controllability of a semilinear parabolic system
    Ruchi Sandilya, Raju K. George, Sarvesh Kumar
    The Journal of Analysis, 2017
    Paper (PDF)
  8. Discontinuous finite volume methods for the optimal control of Brinkman equations
    Sarvesh Kumar, Ricardo Ruiz-Baier, Ruchi Sandilya
    Finite Volume for Complex Applications, 2017
    Paper (PDF)
  9. Convergence of discontinuous finite volume discretizations for a semilinear hyperbolic optimal control problem
    Ruchi Sandilya, Sarvesh Kumar
    International Journal of Numerical Analysis and Modeling, 2016
    Paper (PDF)
  10. On discontinuous finite volume approximations for semilinear parabolic optimal control problems
    Ruchi Sandilya, Sarvesh Kumar
    International Journal of Numerical Analysis and Modeling, 2016
    Paper (PDF)
  11. Convergence analysis of discontinuous finite volume methods for elliptic optimal control problem
    Ruchi Sandilya, Sarvesh Kumar
    International Journal of Computational Methods, 2016
    Paper (URL)
  12. Discontinuous finite volume methods for parabolic optimal control problems
    Ruchi Sandilya, Sarvesh Kumar
    Mathematical Sciences International Research Journal, 2015
    Paper (PDF)
  13. Discontinuous Galerkin finite volume element methods for elliptic optimal control problems
    Ruchi Sandilya, Sarvesh Kumar
    International Conference on Computational Methods (ICCM), 2014
    Paper (PDF)

Seminar/Conference Talks

    Nov 2023: Integrable Systems & Nonlinear Mechanics, TAMUCC, Texas, USA
    Aug 2023: Mathematical Sciences, University of Alabama in Huntsville, USA
    Sep 2021: Mathematics Seminar, CUA, Washington, D.C.
    July 2021: UNC Greensboro PDE Conference, North Carolina, USA
    May 2020: The Computational and Applied Math Seminar, Oak Ridge National Laboratory, USA
    Aug 2019: 6th International Conference on Continuous Optimization, Technical University Berlin, Germany
    Jul 2019: 9th International Congress on Industrial and Applied Mathematics, University of Valencia, Spain
    Nov 2018: Conference on Celebrating 75 years of Mathematics of Computation, ICERM, Brown University, USA
    Jun 2017: Conference on Recent advances in PDEs: Theory, Computations and Applications, IIT Bombay, India
    Dec 2016: International Conference on Recent Advances in Theoretical and Computational PDEs with Applications, Panjab University, India
    Nov 2016: International Conference on Mathematical Analysis and its Applications, IIT Roorkee, India
    Jun 2016: Conference on Mathematics of Finite Elements and Applications, Brunel University, London, UK
    Dec 2015: International Conference on Current Trends in PDEs: Theory and Computations, South Asian University, India
    Nov 2015: International Conference on Mathematics, University of Kerala, India. Received best presentation award

Summits

    Jan 2023: HPE and NVIDIA Data Science Summit, NYC, USA
    Apr 2021: Safety and Security of Deep Learning, ICERM, Brown University, USA