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Dr. Manoj Kumar

Faculty - School of Engg. & Science

manoj@iitmz.ac.in

website

Educational Qualifications

PhD 2023

School of Mathematical and Statistical Sciences

IIT Mandi

MSc 2018

Mathematics

IIT Ropar

BSc (Hons) 2016

Mathematics

Himachal Pradesh University

Awards

  • Qualified CSIR

    National Eligibility Test (2019) and Graduate Aptitude Test in Engineering (GATE-2018)

  • Certificate of merit for highest CGPA

    IIT Ropar, 2018

  • Certificate of merit

    Himachal Pradesh University Shimla, 2016

Research Interests

  • Physics Informed Machine Learning
  • Data-Driven Disease Modeling
  • AI in Healthcare
  • AI for Education

Relevant Courses Taught

  • Introduction to Data Analytics
  • Engineering Analytics
  • Introduction to Optimization
  • Design of Algorithms

Selected Papers

2025

Analysis of generalization capacities of Neural Ordinary Differential Equations

M. Kumar

M. Verma

Transactions on Machine Learning Research

2025

Accelerated MRI Reconstruction: Evaluating Physics-Informed Sampling Against Learning-Based Methods

Vincent, P.

Kumar, M.,

Proceedings of the IEEE 15th International Conference on Intelligent Systems: Theories and Applications (SITA 2025).

2025

Analysis of a mathematical model for malaria using data-driven approach

A. Rajnarayanan

M. Kumar

A. Tridane

Scientific Reports

2023

Modelling and prevention of crime using age-structure and law enforcement

M. Kumar

S. Abbas

J. Math. Anal. Appl., 519 126849

2023

Diffusive size-structured population model with time-varying diffusion rate

M. Kumar

S. Abbas

Discrete Contin. Dyn. Syst. Ser. B, 28, 1414-1435

2023

Analysis of Diffusive Size-Structured Population Model and Optimal Birth Control

M. Kumar

S. Abbas

Evol. Equ. Control Theory, 12, 423-445

2022

Global Dynamics of an Age-Structured Model for HIV Viral Dynamics with Latently Infected T Cells

M. Kumar

S. Abbas

Math. Comput. Simulation. 198, 237-252

2022

Analysis of steady-state solutions to an age-structured SEQIR model with optimal vaccination

M. Kumar

S. Abbas

Math. Methods Appl. Sci., 45, 10718-10735

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