Dr.  Ranjan Kumar  Das

Department Department of Mathematics
Designation Assistant Professor
Educational Qualification Ph.D. (IIT Guwahati)
E-Mail rkdas.maths [at] nitrr.ac.in
Contact Number 9085303738
Areas of Interest

I'm an Assistant Professor of Mathematics at NIT Raipur. I earned my PhD from IIT Guwahati and my M.Sc. from IIT Kanpur.

Broad are o research: Linear Algebra, Numerical Lineara Algebra, Matrix Theory

My research focuses on Linear and Numerical Linear Algebra, particularly eigenvalue problems, linearizations, and perturbation theory, with current work on damping optimization and model reduction. 


Publications

Journals

  • Construction of Fiedler-like Linearizations: An Algorithmic Approach, Indian Journal of Pure and Applied Mathematics (to appear)

  • Structured strong linearizations of structured rational matrices. Linear And MultiLinear Algebra, 70 (2022), pp. 6018–6051, (with R. Alam).

  • Palindromic linearizations of palindromic matrix polynomials of odd degree obtained from Fiedler-like pencils.Vietnam Journal of Mathematics, 48 (2020), pp.865–891, (with R. Alam). 

  • Affine spaces of strong linearizations for rational matrices and the recovery of eigenvectors and minimal bases, Linear Algebra Appl., 569 (2019), pp. 335–368, (with R. Alam).

  • Recovery of minimal bases and minimal indices of rational matrices from Fiedler-like pencils, Linear Algebra Appl., 566 (2019), pp. 34–60, (with R. Alam).

  •  Automatic recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler pencils with repetition, Linear Algebra Appl., 569, (2019), pp. 78–112, (with R. Alam). 

Conferences

  • Efficient Construction of Fiedler and generalized Fiedler Linearizations via Algorithmic Method, International Conference on Information Technology (ICOIT 2024).

Other Info.

Students:

M.Sc. Students
Mr. Makarand Kare
Project Title: Solving Eigenvalue Problem: A Neural Network Approach.
(M.Sc. 2025)

Teaching:

Current Semester

  • Complex Analysis (Code: MA902102MA, Branch: M.Sc., Mathematics, semester-II) 

  • Mathematics-II (Code: MA101002MA, Branch: Civil, B.Tech., semester-II)

Past Semester

  • Linear Algebra (Code: MA901101MA, Branch: M.Sc., Mathematics, semester-I)

  • Mathematics-III (Code: BM103001MA, Branch: Biomedical, B.Tech., semester-III)

  • Mathematics-III (Code: MM103001MA, Branch: Metallurgy and Materials Science, B.Tech., semester-III)

Conferences/Workshops

  • International Conference on Information Technology (ICOIT 2024), SRM University Guntur, AP, India, 12-14 December 2024. 

  • National Conference on Recent Advances in Mathematics and its Applications (NCRAMA-2024), September 28 - 29, 2024, NIT Rourkela, India

  •  GAMM Workshop on Applied and Numerical Linear Algebra 2023, October 5 - 6, 2023, University of Augsburg, Germany

  •  Thef(A)bulous workshop on matrix functions and exponential integrators- 25-27 September 2023, Max Planck Institute, Magdeburg, Germany

  • 25th conference of the International Linear Algebra Society (12-16 June 2023), Madrid, Spain

  •  11th Conference on Applied Mathematics and Scientific Computing (05-09 September 2022), Brijuni, Croatia.

  •  7th Croatian Mathematical Congress (15-18 June 2022), University of Split, Croatia.

  • 3rd Workshop on Optimal Control of Dynamical Systems and Applications March 28-April 01, 2022 at Department of Mathematics, J. J. Strossmayer University of Osijek, Croatia.

  • 9th International Congress on Industrial and Applied Mathematics-ICIAM 2019 (15-19 July 2019), University of Valencia, Valencia, Spain.

  • SIAM Conference on Applied Linear Algebra (04-08 May 2018), Hong Kong Baptist University, Hong Kong.

  • International Conference on Linear Algebra and its Applications (11-15 December 2017), Manipal University, Manipal-576104, Karnataka, India.

  • National Conference on “Advances in Mathematical Sciences” (22-23 December 2016), Gauhati University, Guwahati-781014, Assam, India.

  • Advanced Instructional Schools on Matrix Analysis (02-21 May, 2016), Shiv Nadar University, Greater Noida, Uttar Pradesh - 201314, India.

  • Presenter in Intra IIT Latex Workshop-2017, organised by Indian Institute of Technology Guwahati, India.

  • Poster presentation in Research Conclave- 2016, organized by IIT Guwahati, India.

 Invited Talks:

  • Invited Lecture on: Linear Algebra and its Applications, K K. S. Women's College, Balasore, Odisha, 07 Jan 2025

  • Faculty Development Programme on“Advances in Graph Theory and Linear Algebra(AGTLA)” Department of Mathematics, School of Advanced Sciences (SAS), VIT-AP University, India. 01-05 Oct 2024.

  • Invited Lecture on Eigenvalue Problem, Nalanda College of Engineering Chandi, Bihar, 27 July 2024. 

  • Invited Lecture on Matrices and its Applications, Krishna Engineering College, Bhilai, Chhattisgarh, 19 October 2025.


Contribution to Community: 

  • Reviewer for the journal: Linear Algebra and Its Applications.

  • Reviewer for the journal: Applied Mathematics and Computation

  • Reviewer for the journal: Bulletin of the Iranian Mathematical Society

  • Reviewer for ” Mathematical Reviews.”

  • Reviewer for the journal: The Journal of Mathematical Sciences

Administrative Experiences:

1. Member for the Institute Anti-ragging committee,  NIT Raipur (July 2024-continue)

2. M.Sc. Lab Incharge (Department of Mathematics), (April 2024-continue)

Conference organized as Chairman or Secretary:
1. Secretary, National Mathematics Day at NIT Raipur (07-08 December 2024)
2. Secretary, Chhattisgarh Green Summit 2024 (Theme-10), Raipur,Chhattisgarh, (03-05 October 2024)

 

For more details, visit

https://sites.google.com/view/ranjan-kumar-das/home