Deepak Bhoriya

About Me

I am currently working as an Assistant Professor in the Department of Mathematics at BITS Pilani, Rajasthan. Prior to this, I was a Post-Doctoral Researcher in the Department of Physics and Astronomy, University of Notre Dame, Indiana, USA. There, I worked in collaboration with Prof. Dinshaw S. Balsara. Most of my research focused on the mathematical aspects of astrophysical flows, including (but not limited to) the design of high-order finite difference and finite volume schemes for various hyperbolic conservation laws. Some of my work also addressed hyperbolic systems with non-conservative products. Before that, I was a research scholar in the Department of Mathematics at the Indian Institute of Technology (IIT-Delhi), India, where I obtained my Doctor of Philosophy (Ph.D.) degree in 2022. I worked under the supervision of Prof. Harish Kumar, one of the finest guides and human beings I have met during my research journey. At IIT-Delhi, the principal research work was established on the relativistic flows in the hydrodynamics and two-fluid plasma regimes. My thesis title "Entropy Stable Schemes for Relativistic Flows" explains the same.

To see more about my research work, one can visit the Publication Section, or alternatively, one can see my published work on the ResearchGate and Google scholar profile.

Employment

July, 2025 - present Assistant Professor (level-12) @ Department of Mathematics

- Birla Institute of Technology And Science, Pilani (BITS Pilani), Rajasthan, India.
May, 2022 - July, 2025 Post-Doctoral Research Associate

- University of Notre Dame, Notre Dame, 46556, USA.

Education

2017 - 2022 Ph.D. Mathematics
- Department of Mathematics, IIT-Delhi, New-Delhi, India.
- Supervisor: Prof. Harish Kumar.
- Thesis Title: "Entropy Stable Schemes for Relativistic Flows" 2015 - 2017 Masters of Science (M.Sc.) in Mathematics
- Department of Mathematics , IIT-Bombay, Mumbai, India. 2012 - 2015 Bachelor of Science (B.Sc.) in Mathematics
- Sri Venkateswara College, University of Delhi, New-Delhi, India. 2010 - 2012 High-School (Medical Science with Mathematics)
- Shri Daulat Ram Public School, New-Delhi, India.

Research Interest

Broad Area: Numerical Analysis, Hyperbolic PDEs, Scientific Computing, Astrophysical applications. High-order Numerical schemes for Hyperbolic Systems with Non-Conservative products (Baer-Nunziato, Debris Flows, etc.) Numerical Methods (Finite-Difference, Finite-Volume and Discontinuous Galerkin) and Stability Analysis of Hyperbolic PDEs. Computational Fluid dynamics and Relativistic Plasma Flows. Entropy Stable Schemes, Divergence free methods, High-order Alternative FD-WENO methods. Astrophysical applications of AFD-WENO/FDWENO: 3D Black-hole dynamics using the Z4 formulation of the Einstein field equations. Advanced Scientific Computing using GPUs (OpenAcc) and CPUs (OpenMP, MPI, PetSc) parallelization.

Publications (Published / Accepted)

Teaching / TA Ship

Conferences (C) / Workshops (W)

2026 (W) Extremal Black Holes and the Third Law of Black Hole Thermodynamics , Providence, RI USA.

2025 (C) Latest Advances in Computational and Applied Mathematics-2025 (LACAM-25) , IISER-TVM, India. (Presented a paper)

2023 (W) Hot Topics: Recent Progress in Deterministic and Stochastic Fluid–Structure Interaction, University of California, Berkeley, USA.

2023 (C) Foundations of Numerical PDEs (FoCM), Sorbonne University, Paris, France. (Presented a poster)

2018 (W) AIS Differential Equations, University of Hyderabad, India.

2017 (W) Computational Solution of Hyperbolic PDEs, IIT Delhi, India.

2016 (W) SPIM – Summer Programme in Mathematics, Harish-Chandra Research Institute, Allahabad.

2014 (W) MTTS – Mathematics Training and Talent Search, IIT Guwahati, India.

Scholastic Achievements

2017 Qualified GATE with AIR 280.

2016 Secured AIR 39 in NET–JRF (UGC–CSIR) and AIR 59 in NET (UGC–CSIR).

2015 Secured 1st Rank (AIR) in M.Sc. Mathematics Entrance Examination, University of Delhi.

2015 Secured AIR 73 in IIT–JAM Mathematics and AIR 155 in IIT–JAM Statistics.