I'm Deepanshu Verma and I do math.

PhD Student
George Mason University
Advisor: Prof. Harbir Antil

Research Interests

  • PDE Constraint Optimization
  • Fractional PDEs
  • Inverse Problems
  • Numerical Analysis
  • Machine Learning


  1. H. Antil, T. Brown, R. Khatri, and D. Verma, Mathematical framework of DenseNets using Constrained Optimization. (in preparation)
  2. H. Antil, T. Brown, and D. Verma, Moreau-Yosida Regularization for Optimal Control of Fractional Elliptic Problems with State Constraints. (in preparation)
  3. H. Antil, T. Brown, D. Verma and M. Warma, Optimal Control of Fractional Elliptic PDEs with State Constraints and Characterization of the dual of Fractional Order Sobolev Spaces. arXiv: (submitted)
  4. H. Antil, D. Verma and M. Warma, External Optimal Control of Space-Time Fractional PDEs. arXiv: (submitted)

Awards & Honours

  1. Presidential Merit Fellowship, George Mason University.
  2. Achievements in Analysis Award, Department of Mathematics, George Mason University.
  3. Silver Medal, M.Sc. Mathematics, Indian Institute of Technology.
  4. 1st rank holder, B.Sc.(H) Mathematics, Shri Guru Teg Bahadur Khalsa College, Delhi University, India.

Curriculum Vitae

Click here.


Got something to say? Reach me by

  • E-mail at
  • slow Mail at Department of Mathematical Sciences,
    George Mason University
    4400 University Drive, MS 3F2
    Fairfax, Virginia - 22030
  • ... or stop by Exploratory Hall, room 4310.