05, Academics
The full academic record behind the headline stats, verified module marks, undergraduate lab & project code, and school results, most recent first. This page is the appendix my CV points to.
The dissertation, a Firedrake-based finite element approach to the Vlasov–Poisson system, is covered in depth on Research →, including the code repository.
Tensor calculus, differential geometry, geodesics, Schwarzschild geometry and Einstein's field equations in General Relativity; Hilbert spaces, Dirac notation, Hermitian operators, eigenvalue problems, perturbation theory and operator methods in Quantum Mechanics.
Finite difference methods, Adams–Bashforth time integration, finite element methods and numerical algorithms for ordinary and partial differential equations, with convergence and error analysis, implemented in Python.
Full paper-by-paper breakdown with net grades, as verified from the University of Delhi statement of marks (Enrolment No. 20MIRHBSPH000076), most recent semester first. Grade key: O = Outstanding, A+ = Excellent, A = Very Good, B+ = Good, B = Above Average.
Mechanics, Electricity and Magnetism, Waves and Optics, Thermal Physics, Electromagnetic Theory, Statistical Mechanics, Elements of Modern Physics, Quantum Mechanics and Applications, Solid State Physics, Nuclear and Particle Physics, Classical Dynamics (Lagrangian and Hamiltonian mechanics).
Mathematical Physics I–III (vector calculus, ordinary and partial differential equations, complex analysis, special functions, integral transforms), Linear Algebra, Calculus, Advanced Mathematical Physics I–II (linear algebra, tensors, calculus of variations, group theory, advanced probability).
Advanced Mathematical Physics II, numerical solution of ordinary and partial differential equations, matrix methods, implemented in SCILAB.
Laboratory coursework throughout, plus Digital Systems and Applications, Analog Systems and Applications, Basic Instrumentation Skills, and Renewable Energy and Energy Harvesting.
Positions held during and after formal study, most recent first.
Built production AI software and data infrastructure for a Silicon Valley AI startup. Further details available on request.
Independent research in computational plasma physics, supervised by Professor Colin Cotter. Developed finite element solvers for the collisionless Vlasov–Poisson system using Firedrake, implementing discontinuous Galerkin discretisations, Hermite quadrature and SSPRK3 time integration to investigate hybrid multistream formulations for kinetic plasma simulation. Combined finite element methods, numerical analysis and computational PDEs, with convergence studies, moment-based error analysis, and numerical validation against full phase-space finite element models. Full write-up and code on Research →.
Developed and compared numerical methods for the time-independent Schrödinger equation across the hydrogen atom, screened (Yukawa) Coulomb potential, and 1D harmonic oscillator (including an anharmonic perturbation), using Python, SCILAB and Wolfram Mathematica, finite-difference Hamiltonian diagonalisation, the Matrix Numerov method, and Rayleigh–Ritz variational method with Gram-Schmidt orthogonalisation, validated against analytic and published reference values. Method-by-method detail in Lab & Project Code →.
A full inventory of undergraduate lab and independent-project code exists file-by-file (~120 scripts across C++, Scilab and Python, each logged with problem, method and defensibility). What follows is the honest summary, the methods actually implemented, most recent work first, not a line-by-line dump.
reglin()Top-endorsed skills, as listed. Evidenced in depth across the coursework, research and code above.