Kumar Azad
Hi, my name is

Kumar Azad.

Theoretical & Mathematical Physicist

An independent researcher in AI, Quantum Computing, Physics, and Mathematics. My expertise encompasses Quantum Mechanics, Statistical Mechanics, Quantum Field Theory, General Relativity, Condense Matter Physics, Electrodynamics, Atomic and Molecular Physics, and Special Theory of Relativity. I apply computational methods to develop rigorous mathematical models and innovative solutions for complex physical problems.

About Me

I am a researcher based in Bihar, India, with a strong foundation in both Physics and Mathematics. Currently pursuing an M.Sc. in Mathematics at Mangalayatan University (2024-Present), I combine rigorous mathematical structures (Number Theory, Complex Analysis, Special Functions) with high-energy physics applications.

My research spans from investigating Ramanujan's Lost Notebook identities for field-theoretic applications to exploring Positive Geometry in Scattering Amplitudes. I'm particularly interested in QCD kinematics, twistor-space geometry, and amplituhedron formulations.

Coding Platforms

Experience

Independent Researcher
Self-Employed
Jun 2025 - Present | 8 months

Education

M.Sc. Mathematics (Online)
Mangalayatan University
2024 - Present | CGPA: 63.17%
M.Sc. Applied Physics
Amity University, Gurugram
2024-2025 | CGPA: 5.27 (1 year completed, withdrawn)
B.Sc. Physics (Honours)
SRM University, Andhra Pradesh
2021-2024 | CGPA: 6.67
Minor in Artificial Intelligence
IIT Ropar
2024-2025
Elective: Mechanics and Robotics | Project: Build an LLM from Scratch
QUCAN - Quantum Computing Seasonal Course
Quantum Computing Course
Dec 2024 - Feb 2025
Unacademy - JEE Online Preparation Learning PCM
Unacademy
Jul 2020 - Sep 2021
FIITJEE Bokaro Jharkhand - JEE Preparation PCM
FIITJEE Bokaro Jharkhand
Jul 2018 - Jul 2020
G G S PUB SCH SEC-5B B S CITY BOKARO JHARKHAND - CBSE 11/12, PCM and Computer Science
GGS PUB SCH SEC-5B
Apr 2018 - Mar 2020
Grade: 68%
DAV PUBLIC SCHOOL MATHURAPUR BHAGALPUR BIHAR - CBSE (CLASS 3 -CLASS-10)
DAV PUBLIC SCHOOL MATHURAPUR BHAGALPUR BIHAR
Apr 2010 - Apr 2018
Grade: 83
ST. JOSEPH SCHOOL(DAY) SAHIBGANJ -JHARKHAND - ICSE (KGI-CLASS2)
ST. JOSEPH SCHOOL(DAY) SAHIBGANJ -JHARKHAND
Apr 2006 - Mar 2010
Grade: RANK 3

Coursework

B.Sc. Physics (Honours) - Completed Coursework
SRM University, Andhra Pradesh
2021-2024 | 46 Courses Completed

Core Physics: Classical and Modern Physics, Mechanics, Heat and Thermodynamics, Wave and Oscillations, Introduction to Optics, Quantum Mechanics, Electrostatics and Electric Current, Electrodynamics, Atomic and Molecular Physics, Solid State Physics, Nuclear and Particle Physics, Non-Linear Optics, Introduction to Lab View, Introduction to Quantum Computation

Advanced Physics: Special Theory of Relativity, Free Space and Optical Fibre Communication, Analog and Digital Electronics, Introduction to Impedance Spectroscopy and ZView Lab, Research Projects I & II

Mathematics & Computational: Mathematical Physics, Linear Algebra, Differential Equations, Complex Analysis, Elementary Number Theory, Introduction to Partial Differential Equations, Mobile Application Development (Java), Web Programming

Laboratory & Practical: Physics Lab (Mechanics, Thermodynamics, Optics, Electronics, Electrodynamics), Atomic & Molecular Physics Lab, Solid State Physics Lab, Department Seminar

General Education: Introduction to Communicative English, Psychology for Everyday Living, Critical Thinking, Idea of India, Introduction to Environmental Science

Mathematics Coursework

M.Sc. Mathematics - Completed Coursework
Mangalayatan University (Online)
2024 - Present | CGPA: 63.17%

Core Mathematics: Real Analysis, Abstract Algebra, Partial Differential Equations, Differential Geometry, Classical Mechanics, Complex Analysis, General Topology

Applied & Computational: Numerical Methods, Operations Research

Programming & Practical: Programming in C, Programming in C Lab

Applied Physics Coursework

M.Sc. Applied Physics - Completed Coursework
Amity University, Gurugram
September 2024 - Present (1 year completed, withdrawn)

Semester 1 Courses: Classical Mechanics, Quantum Mechanics, Electronics, Mathematical Physics, MATLAB, Integrated Physics Lab-I, Japanese-I, Basics of Communication, Behavioural Science

Semester 2 Courses: Quantum Mechanics II, Electrodynamics, Atomic and Molecular Physics, Statistical Physics, Condensed Matter Physics-I, Integrated Physics Lab-II, Japanese-II, Workshop on Communication Skills and Psychological Behaviour Skills

Research Experience

Searching for Mathematical Formulation from Ramanujan's Lost Notebook
2025 - Present | Independent Theoretical Work

Investigating identities and series from Ramanujan's Lost Notebook to develop rigorous integral transforms and analytical structures. Aim to use these formulations to model and analyze physics problems in strong-interaction and field-theoretic settings.

Positive Geometry in Scattering Amplitudes
2025 | ICTS Research Program (School for Advanced Topics in Particle Physics)

Explored geometric formulations of scattering amplitudes with applications to QCD kinematics and twistor-space mapping. Focused on Scattering Dynamics and Amplituhedron Geometry.

Electron Dynamics in Attosecond Laser-Torus Systems
2024 | WiSILS Research Program (IIT Jodhpur)

Studied charged-particle dynamics under intense fields and toroidal confinement using numerical TDSE (Time-Dependent Schrödinger Equation) solvers. Applied computational methods to model ultrafast electron dynamics in attosecond laser systems.

Technical Skills

Physics:

Quantum Mechanics, QCD, Effective Field Theories, Quantum Field Theory, Scattering Theory, Statistical Physics, Nuclear Physics

Mathematics:

Linear Algebra, Differential Equations, PDEs, Complex Analysis, Number Theory, Mathematical Physics, Special Functions

Computational:

C, C++, Java, MATLAB, Python, IBM Qiskit, Numerical TDSE, Mathematica, LaTeX

Languages:

English (Proficient), Hindi (Native), Sanskrit (Reading), Japanese (Basic)

Certifications & Achievements

Conferences & Schools

Experience

Independent Researcher
Jun 2025 to Present | 8 months

Conducting independent research in theoretical physics and mathematics with focus on quantum computing, amplituhedron geometry, and attosecond physics. Actively developing research projects and publishing findings.

Projects

Literature Review on Ramanujan Lost Notebook
Nov 2025 - Present

In-depth analysis of identities and series from Ramanujan's Lost Notebook for theoretical physics applications.

Literature Review on Quantum Mechanics
Sep 2025 - Present

Comprehensive review of quantum mechanics principles and advanced topics with focus on computational applications.

Amplituhedron Geometry in Quantum Field Theory
2025

Exploring geometric formulations and positive geometry structures in quantum amplitudes.

Quantum Algorithm Development and Optimization
2025

Research on variational algorithms and quantum optimization techniques for mathematical problem-solving.

Numerical Simulations in Attosecond Physics
2024 - 2025

Computational modeling of ultrafast electron dynamics using TDSE (Time-Dependent Schrödinger Equation) solvers.

Mathematical Physics Problem Solving
Ongoing

Collection of solutions and analysis of problems in classical mechanics, quantum theory, and field theory.

Skills (10)

Programming Languages:

C, C++, Java, MATLAB, Python, JavaScript, LaTeX

Quantum Computing:

IBM Qiskit, Variational Algorithms, Quantum ML, Quantum Optimization

Physics & Mathematical Methods:

Quantum Mechanics, QCD, PDEs, Complex Analysis, Fourier Analysis, Differential Geometry

Computational Tools:

Mathematica, NumPy, SciPy, Git, Numerical TDSE, Data Analysis

Research Methodologies:

Literature Review, Mathematical Modeling, Computational Physics, Problem-Solving, Academic Writing

Advanced Topics:

Amplituhedron Geometry, Attosecond Physics, Positive Geometry, Scattering Amplitudes

LEAN:

Proof Formalization, Mathematical Verification, Formal Methods

Applied Mathematics:

Linear Algebra, Numerical Methods, Operations Research, Special Functions

AI & Machine Learning:

Neural Networks, Deep Learning, Pattern Recognition, AI Applications in Physics

Technical Writing:

Scientific Papers, Technical Documentation, Research Presentations, LaTeX Documents

Courses & Training (31 Total)

Advanced Physics Courses

Quantum Field Theory, General Relativity, Advanced Quantum Mechanics, Statistical Mechanics, Electrodynamics

Mathematics Courses

Abstract Algebra, Real Analysis, Complex Analysis, Differential Geometry, PDEs, Linear Algebra

Quantum Computing & AI Courses

Quantum Algorithms, IBM Quantum, Washington Institute Modules, Google AI Essentials

Specialized Topics

Attosecond Science, Quantum Entanglement, Amplituhedron Geometry, Coherence Theory

NPTEL Certifications

Algebra II (IMSc), Basic Linear Algebra (IIT Bombay), Attosecond Science, Quantum Entanglement

Laboratory & Practical

Physics Lab, Atomic & Molecular Physics Lab, Solid State Physics Lab, Electronics Lab

Languages (4)

English (Proficient) - Professional & Academic Communication, Technical Writing, Presentation Skills

Hindi (Native) - Fluent in reading, writing, and speaking

Sanskrit (Reading) - Classical knowledge and research context

Japanese (Basic) - Elementary communication and technical terminology