Conducted applied mathematics research focused on the analysis and modeling of fluid machines using hybrid classes of polynomials.
Developed and explored mathematical frameworks to optimize the behavior and efficiency of fluid machinery systems.
Utilized advanced polynomial techniques to solve differential equations arising in fluid dynamics scenarios.
Assisted in deriving and validating theoretical results through symbolic computation tools (e.g., MATLAB, Python).
Participated in drafting technical papers and contributed to research documentation for internal review and academic dissemination
Assistant professor
Indian Institute of Technology College
Dehli,India
09.2020 - 08.2024
Deliver undergraduate courses in core mathematical subjects including [e.g., Calculus, Linear Algebra, Differential Equations, Numerical Methods, Geometry Differential Equation and Game theory].
Design and evaluate assessments, assignments, and projects to support student learning outcomes.
Guide and mentor students in academic and research-related pursuits.
Conduct tutorials, workshops, and extra sessions to support concept clarity and exam preparation.
Integrate real-world applications and problem-solving techniques to enhance classroom engagement.
Collaborate with faculty in curriculum planning and departmental activities.
Research assistant
Jamia Millia Islamia
Dehli , India
01.2023 - 06.2023
Conducted research at the intersection of mathematics and geography, focusing on modeling spatial patterns and natural phenomena.
Applied mathematical tools such as differential equations, interpolation methods, and statistical models to analyze geographical data.
Worked with coordinate systems, geospatial data, and mapping techniques to study [e.g., terrain structures, Fluid flow, population spread].
Utilized software tools like [e.g., MATLAB, Python] for data analysis and visualization.
Collaborated with faculty to develop theoretical models with real-world geographical applications.
Contributed to the preparation of technical reports and presentations related to the research outcomes
Education
Master of Science - Artificial Intelligence
Sheffield Hallam University
Sheffield
09.2024 -
Doctor of Philosophy - Applied Mathematics with Natural Science
The Glocal University
Sahranpur,India
09.2019 - 04.2024
Published Research Pape
Relevance of Factorization Method to Differential and Integral Equations Fractal and Fractional, 5(1), p. 45, 2021.
https://doi.org/10.3390/fractalfract5010045
Integral and Differential Equations Involving Hybrid Polynomials Journal of the Jangjeon Mathematical Society, 25(2), pp. 257–267, 2022.
Certain Integral and Differential Equations Involving Hybrid Polynomials via Factorization Method Journal of the Jangjeon Mathematical Society, 25(1), pp. 13–26, 2022.
A New Family of Differential and Integral Equations of Hybrid Polynomials via Factorization Method AIMS Mathematics.
https://www.aimspress.com/journal/math
Legendre-Gould-Hopper Based Appell Polynomials(Submitted) AIMS Mathematics.
https://www.aimspress.com/journal/math
Timeline
Master of Science - Artificial Intelligence
Sheffield Hallam University
09.2024 -
Research assistant
Jamia Millia Islamia
01.2023 - 06.2023
Research assistant
RIMT Univeristy Punjab
03.2021 - 09.2025
Assistant professor
Indian Institute of Technology College
09.2020 - 08.2024
Doctor of Philosophy - Applied Mathematics with Natural Science
Senior Safety Officer at Punjab Emergency Service Rescue 1122 Govt of PunjabSenior Safety Officer at Punjab Emergency Service Rescue 1122 Govt of Punjab