Summary & Overview
I am a Phd student under the supervision of Dr. Sudarshan Santra, Department of Mathematics, BITS Pilani, Pilani, Rajasthan (333031). My current research focuses on developing numerical solutions for fractional partial differential equations (PDEs) and integro-fractional differential equations.
I hold a strong foundational background in Lie symmetry analysis, Lie groups, and manifolds applied to nonlinear PDEs. I am passionate about bridging theoretical mathematics with practical, computational solutions, leveraging tools such as MATLAB, Mathematica, Maple, and Python to model and visualize complex systems.
Areas of Interest
- Numerical Analysis
- Ordinary & Partial Differential Equations
- Linear Algebra & Group Theory
- Calculus & Optimization
- Graph Theory & Linear Programming
- Financial Mathematics
Technical Skills
MATLAB
MAPLE
Mathematica
Python
LaTeX
C++
R
HTML & CSS
SQL & JavaScript
Excel & Data Analysis
Education
Doctor of Philosophy (Ph.D.) in Mathematics
- Supervisor: Dr. Sudarshan Santra
- Research Focus: Numerical Solutions of Fractional ODE/PDE.
- Key Topics: Integro-Fractional Differential Equations and Modelling in Fractional Differential Equations.
Master of Science (M.Sc.) in Mathematics
CGPA: 6.5 / 10 | Major in Mathematics, Minor in Physics
Thesis Supervior: Dr. Deepika Singh
Work & Professional Experience
PhD Research Scholar & Teaching Assistant
- Serve as a Teaching Assistant at BITS Pilani, leading class discussion sessions for graduate mathematics students.
- Supervise mathematical laboratory classes, assisting students with computational problem-solving and software tools.
Home Tutor & Account Manager
- Delivered personalized in-home and online tutoring to students (Grades VIII–XII) in Mathematics.
- Managed e-commerce platform seller accounts (3 Leaf Infratech & Amyra traders on Amazon & Flipkart), optimizing listings, pricing, and advertising strategies (Nov 2022 – Jan 2024).
Research Experience & Academic Workshops
Research Activity
- Worked on a research manuscript regarding Lie symmetries analysis under faculty supervision.
- Completed and presented Master's Thesis on Lie Symmetries analysis of non-linear PDEs.
Workshops & Specialized Training
- 3-day Workshop: "Harmonic Mappings, PDEs, and Applications" at IIT Bhilai.
- 7-day Workshop: "Partial Differential Equations: Theory and Numerics" at IIIT Delhi.
- National Workshop: "CRYPTOGRAPHY - A Recent Trend In Mathematics".
- Short Courses (40 hours):
Webinars Attended
- Webinar on "Mathemagical Symposium with Prof. Brian Winkel"
- Webinar on "Applications of Number Theory in Real Life"
- National Level Webinar on "Mathematics Behind Investment Decision Making"
- Webinar on "Some Concepts From Linear Algebra" by Prof. Aparna Mehra
- National Webinar on "Introduction to Data Science"
- International Webinar on "Climate change and extremes"
Leadership & Extracurricular Activities
- President: Department of Mathematics, Ram Lal Anand College, University of Delhi (2022–2023).
- Secretary: Trikon (Mathematics Department Society), Netaji Subhas University of Technology (2023–2024).
- Class Representative: M.Sc. Mathematics, NSUT Dwarka (2024–2025).
- Treasurer: Equal Opportunities Cell, Ram Lal Anand College, University of Delhi (2021–2022).
- Event Organizer:
- IMPLOSION'21 : Annual mathematical fest, Ram lal anand college, University of Delhi
- IMPLOSION'22 : Annual mathematical fest, Ram lal anand college, University of Delhi
- National level workshop on Cryptography A recent trend in mathematics
- Webinar on Application of number theory in real life
- Organized poster presentation competitions and many more...
Curriculum Vitae
Contact Information
-
Phone:
+91 635 0029 208 -
Address:
Current Address:
Department of Mathematics, BITS-PILANI, pilani, rajasthan (PIN: 333031)Permement Address:
Pawan Yadav, Chind ka mohalla, VPO: Gandala, Alwar, Rajasthan, India (PIN: 301709)