Dr. Kapil Kant is currently working as Assistant Professor at Atal Bihari Vajpayee - Indian Institute of Information Technology & Management Gwalior. Prior to this, he was associated with the Indian Institute of Technology Kanpur as Institute Post-doc fellow for one year and three months.

He completed his Bachelor of Science in Mathematics from University of Allahabad, UP, India (2013) and his Master of Science in Mathematics at Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India (2015). He also completed his Doctor of Philosophy (Ph.D) from the Department of Mathematics at Indian Institute of Technology Kharagpur (2020). His area of research is numerical functional analysis and approximation theory.

Academic Positions:

1. Research Associate at IIT Kharagpur From December 1, 2020-August 18, 2021 (With Prof. Gnaneshwar Nelakanti).

2.  Institute post-doctoral fellow at IIT Kanpur From-November 1, 2021-January 20, 2023 (With Prof. BV Rathish Kumar).

3. Assistant Professor at ABV IIITM Gwalior from January 27, 2023, to till date.

Administrative Positions:

1. Co-coordinator of Indian Knowledge System (IKS) division, ABV-IIITM Gwalior

2. Faculty-in-charge security at ABV-IIITM Gwalior.

3. Assistant Warden at Aravali Hostel (BH1), ABV-IIITM Gwalior, from April 1, 2024, to till date.

4. Coordinator of Rekhi center of excellence for the science of happiness.

5. Convener, Anti-ragging Committee.

Workshop/Faculty Development Program (FDP) Organized:

1. Co-Coordinator, Workshop on Applications of Dynamical Systems in Health and Environment during June 05-06, 2023, ABV-IIITM Gwalior.

2. Co-Coordinator, Workshop on Implementation of NEP 2020, Embracing Indian Knowledge Systems during March 01-02, 2025, ABV-IIITM Gwalior.

Journal papers:

1. Kapil Kant, Jacobi Spectral Methods for Volterra-Urysohn Integral Equations of Second Kind with Weakly Singular Kernels, Numerical Functional Analysis, and Optimization 40 (15) (2019), 1787–1821 (With Gnaneshwar Nelakanti).
2. Kapil Kant, Convergence analysis for derivative dependent Fredholm-Hammerstein integral equations with Green’s kernel, Journal of Computational and Applied Mathematics, 368 (2019): 112599 (With Moumita Mandal and Gnaneshwar Nelakanti).
3. Kapil Kant Approximation methods for second kind weakly singular Volterra integral equations, Journal of Computational and Applied Mathematics, 368 (2019): 112531 (With Gnaneshwar Nelakanti).
4. Kapil Kant, Error Analysis of Jacobi Spectral Galerkin and Multi-Galerkin Methods for Weakly Singular Volterra Integral Equations, Mediterranean Journal of Mathematics, 17 (2019), 20 (With Moumita Mandal and Gnaneshwar Nelakanti).
5. Kapil Kant, Galerkin and Multi Galerkin Methods for Weakly Singular Volterra-Hammerstein Integral Equations and their Convergence Analysis, Computational and Applied Mathematics 39 (2) (2020) 57 (With Gnaneshwar Nelakanti).
6. Kapil Kant, Error Analysis of Jacobi-Galerkin Method for Solving Weakly Singular Volterra- Hammerstein Integral Equations, International Journal of Computer Mathematics 97(12) (2020): 2395-2420 (With Gnaneshwar Nelakanti).
7. Kapil Kant, Projection and multi-projection methods for second kind Volterra-Hammerstein integral equation, International Journal of Nonlinear Analysis and Applications, 12 (2) (2021) 275-291 (With Moumita Mandal and Gnaneshwar Nelakanti).
8. Kapil Kant, Legendre Spectral Projection Methods for Linear Second Kind Volterra Integral Equations with Weakly Singular Kernels, International Journal of Nonlinear Analysis and Applications, (With Samiran Chakraborty and Gnaneshwar Nelakanti).
9. Kapil Kant, Jacobi Spectral Galerkin Methods for a Class of Nonlinear Weakly Singular Volterra Integral Equations, Advances in Applied Mathematics and Mechanics, 13 (5) (2021) 0163-1260 (With Moumita Mandal and Gnaneshwar Nelakanti).
10. Kapil Kant, Discrete Legendre Spectral Methods for Hammerstein type Weakly Singular Nonlinear Fredholm Integral Equations, International Journal of Computer Mathematics, 98 (11) (2021) 2251–2267 (With Moumita Mandal and Gnaneshwar Nelakanti).
11. Kapil Kant, Eigenvalue Problem of a Weakly Singular Compact Integral Operator by discrete Legendre Projection Methods, Journal of Applied Analysis and Computation, 11 (4) (2021) 2090-2101 (With Moumita Mandal and Gnaneshwar Nelakanti).
12. Kapil Kant, Approximation Methods for System of Linear Fredholm Integral Equations of Second Kind, Applied Mathematics and Computation, 403 (2021) 126173 (With Samiran Chakraborty and Gnaneshwar Nelakanti).
13. Kapil Kant, Error Analysis of Reiterated Projection Methods for Hammerstein Integral Equations, International Journal of Computer Mathematics, 99 (10) (2022), 2001-2017 (With Samiran Chakraborty and Gnaneshwar Nelakanti).
14. Kapil Kant, Modified Galerkin method for Volterra-Fredholm-Hammerstein integral equations, Computational and Applied Mathematics, DOI 10.1007/s40314-022-01945-9 (With Payel Das and B V Rathish Kumar).
15. Kapil Kant, Approximation of Weakly Singular Non-linear Volterra-Urysohn Integral Equations by Piecewise Polynomial Projection Methods based on Graded Mesh, Journal of Applied Analysis and computation (Doi-10.11948/20220147 ) (With R Nigam, BVRK and Gnaneshwar Nelakanti).
16. Kapil Kant, Convergence Analysis for Linear Fredholm and Nonlinear Fredholm Hammerstein Integral Equations, Journal of Basic & Applied Sciences, 18, 2022, 158-165 (With R Kumar and BVRK).
17. Kapil Kant, Superconvergence of Volterra-Urysohn integral with weakly singular kernel by iterated Jacobi spectral multi Galerkin method, International Journal of Nonlinear Analysis and Applications (Accepted).
18. Kapil Kant, Modified Galerkin Method for Derivative Dependent Fredholm-Hammerstein Integral Equations of Second Kind, Advances in Applied Mathematics and Mechanics, Accepted (With Payel Das, B V Rathish Kumar and G. Nelakanti).
19. Kapil Kant, Discrete Galerkin and iterated discrete Galerkin methods for derivative dependent Fredholm-Hammerstein integral equations with Green’s kernel, Mediterranean Journal of Mathematics, Accepted (With Rakesh Kumar, Samiran Chakraborty and G. Nelakanti).

20. Kapil Kant, Spectral Projection Methods for Derivative Dependent Hammerstein Equations with Green's Kernels, Mediterranean Journal of Mathematics, Accepted (With Chafik Allouch, and Ritu Nigan).

21. Kapil Kant, Numerical solution of eigenvalue problems for a compact integral operator with Green’s kernels, Advances in Operator Theory, Accepted (With H. Bouda, Chafik Allouch, and Zakaria El Allali).

22. Kapil Kant, A Error analysis of Jacobi modified projection-type method for weakly singular Volterra Hammerstein integral equations: Superconvergence of weakly singular Volterra Hammerstein integral equations, Electronic Transactions on Numerical Analysis, Accepted (With H. Bouda, Chafik Allouch, and Zakaria El Allali).

23. Kapil Kant, Superconvergent scheme for a system of Green Fredholm Integral Equations, Applied Numerical Mathematics, Accepted (With R. Kumar and BVRK). 

24. Kapil Kant, Discrete multi Galerkin methods for derivative dependent Hammerstein type weakly singular nonlinear Fredholm integral equations with Green's kernel, 15 (3), 1616-1640, Journal of Applied Analysis & Computation, (With KM Malav, J Dhar, G Nelakanti).

25. Kapil Kant, Galerkin and iterated Galerkin methods for linear second kind weakly singular Volterra integral equation with mixed type kernels, Accepted, Mediterranean Journal of Mathematics (With KM Malav, J Dhar).

26. Kapil Kant, Re-iterated Approximation Methods for nonlinear Volterra Integral Equations, Accepted, Mathematical Modelling and Analysis (With Samiran Chakraborty, Ritu Nigam and Gnaneshwar Nelakanti:).

Doctoral Students

1. Krishna Murari Malav (Ongoing)

2. Prabhat Kumar (Ongoing)

Grants and Funding:

1. Projection methods for integral equations, sponsored by ABV-IIITM Gwalior, India, Grant No: 011/2023 dated 21/3/2023, Amount: Rs. 550,000/-, Duration 3 years. (P.I. Dr. Kapil Kant, Co-PI: Prof. Joydip Dhar).

2. Rekhi center of excellence for the science of happiness from Rekhi foundation (With Dr. Rashmi Ranjan Behera).

Selected Conferences and Talks:

1. CONTRIBUTED TALK entitled “Super convergence of Jacobi spectral methods for weakly singular Volterra Integral Equations", in Joint Mathematics Meeting (JMM) 2019 at Baltimore, MY, USA.