Namaste!
I'm Deepanshu Verma and I do math.

...
Namaste!
I'm Deepanshu Verma and I do math.


Distinguished Visiting Assistant Professor in Scientific Computing
Emory University
I am working in the research group of Dr. Lars Ruthotto

Research Interests

  • PDE Constrained Optimization
  • Inverse Problems
  • Numerical Analysis
  • Machine Learning
  • Reinforcement Learning

Teaching

Fall 2022 Math 221: Linear Algebra Primary Instructor Emory University
Spring 2022 Math 221: Linear Algebra Primary Instructor Emory University
Fall 2021 Math 111: Calculus I Primary Instructor Emory University

Publications


In Preparation
  1. E. Hayes, M. Heider, C. Vanty and D. Verma. Hamiltonian Inspired Neural Networks. (advised)
  2. L. Ruthotto,D. Verma, N. Winovich and B. Waanders. Comparing Reinforcement Learning and HJB approaches for PDE-constrained Optimization..
Submitted
  1. X. Li, L. Ruthotto, and D. Verma. A Neural Network approach for Stochastic Optimal Control problems. arXiv: .
  2. H. Antil, H.C. Elman, A. Onwunta and, and D. Verma. Novel Deep Neural Networks for Solving Bayesian Statistical Inverse Problems. arXiv:
Published/Accepted
  1. H. Antil, T.S Brown, R. Löhner, F. Togashi, and D. Verma. Deep Neural Nets with Fixed Bias Configuration. Numer. Algebra Control Optim. (NACO) 2022. DOI: 10.3934/naco.2022016.
  2. H. Antil, R. Arndt, C.N. Rautenberg, and D. Verma. Non-Diffusive Variational Problems with Distributional and Weak Gradient Constraints. Advances in Nonlinear Analysis 2022.DOI: https://doi.org/10.1515/anona-2022-0227.
  3. T.S. Brown, H. Antil, R. Löhner, F. Togashi, and D. Verma. Parallel Deep ResNets for Chemically Reacting Flows. AIAA SciTech Forum 2022-1076. 2022. DOI: https://arc.aiaa.org/doi/10.2514/6.2022-1076.
  4. H. Antil, T.S. Brown, R. Khatri, A. Onwunta, D. Verma, and M. Warma. Optimal Control, Numerics, and Applications of Fractional PDEs. Handbook of Numerical Analysis, Volume 23, 2022, Pages 87-114.DOI: https://doi.org/10.1016/bs.hna.2021.12.003.arXiv:
  5. H. Antil, T.S. Brown, D. Verma, and M. Warma. Optimal Control of Fractional PDEs with State and Control Constraints. Accepted in Pure and Applied Functional Analysis 2021.
  6. T.S Brown, H. Antil, R. Löhner, F. Togashi, and D. Verma. Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows. Accepted in Computational Fluid Dynamics Simulations and Analysis (CFDML) 2021. DOI: https://doi.org/10.1007/978-3-030-90539-2_2. arXiv:
  7. H. Antil, R. Khatri, R. Löhner and D. Verma. Fractional Deep Neural Network via Constrained Optimization. Machine Learning: Science and Technology 2020. DOI: https://doi.org/10.1088/2632-2153/aba8e7. arXiv:
  8. H. Antil, D. Verma, and M. Warma. Optimal Control of Fractional Elliptic PDEs with State Constraints and Characterization of the dual of Fractional Order Sobolev Spaces. J Optim Theory Appl 186, 1–23 (2020). DOI: https://doi.org/10.1007/s10957-020-01684-z. arXiv:
  9. H. Antil, D. Verma, and M. Warma. External Optimal Control of Space-Time Fractional Parabolic PDEs. ESAIM: COCV 26 (2020) 20. DOI: https://doi.org/10.1051/cocv/2020005. arXiv:

Awards & Honours

  1. Dean's Graduate Award for Excellence for 2019-2020, George Mason University.
  2. Presidential Merit Fellowship, George Mason University.
  3. Presidential Scholar Summer 2020 Research Fellowship, George Mason University.
  4. Achievements in Analysis Award, Department of Mathematics, George Mason University.
  5. Institute Silver Medal for academic excellence, M.Sc. Mathematics, Indian Institute of Technology.
  6. 1st rank holder, B.Sc.(H) Mathematics, Shri Guru Teg Bahadur Khalsa College, Delhi University, India.

Curriculum Vitae


Click here.

Contact


Reach me by

  • E-mail at deepanshu.verma@emory.edu

  • slow Mail at
    400 Dowman Dr, E431
    Atlanta, GA - 30322
  • ... or stop by Mathematics and Science Center, E431