Recent Publications:

Tikesh Verma, Debasisha Mishra, Michael Tsatsomeros, Further results on Cayley Transform of matrix classes. The Electronic Journal of Linear Algebra (2026)

Priyaranjan Mallick, Debasisha Mishra, LINKS BETWEEN THE SOLVABILITY OF MATRIX AND SCALAR DIOPHANTINE EQUATIONS,  Bulletin of the Australian Mathematical Society (2026).

Priyaranjan Mallick, Debasisha Mishra, On structured solutions of the matrix Diophantine equation X3 + Y 3 = 2Z3, Lobachevskii Journal of Mathematics (2026)

Total no. of Publications: 54 (54%-Q1,  32%-Q2, 13%-Q3, 1%-Q4, 0%-NA) 

Please go through the following links for all of my published papers details:

http://scholar.google.co.in/citations?user=aXHSxNYAAAAJ&hl=en

http://nitrr.irins.org/profile/112676

AMS MATHSCIENT Mathematical reviews:

https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=931043

My PhD Supervisor: 

Dr. K C SIVAKUMAR, Professor, Dept of Mathematics, IIT Madras

My Research Collaborators:

1. REFEREEING /REVIEWING

Reviewer:

 Mathematical Reviews

Referee:

Linear Algebra and its Applications

Linear and Multilinear Algebra

Electronic Journal of Linear Algebra

Operators and Matrices

Journal of Computational and Applied Mathematics

Numerical Algorithms

Computers & Mathematics with Applications

Applied Mathematics and Computation

Referee Duty (Scientific Board):

Science and Engineering Research Board (SERB), DST, New Delhi

GIAN

2. My PhD deatils can be found in the following link:

https://www.genealogy.math.ndsu.nodak.edu/id.php?id=160788

3. PhD Students:

(i).  Dr. Chinmay Kumar Giri   (Status: Completed 2018,    Thesis Title: Matrix Splittings and its Connection With Non-Negative Generalized Inverses,  Currently working as an Assistant Prof. (on contract) at DD University, Keonjhar, Odisha)

(ii).  Dr. Krushna Chandra Panigrahy   (Status: Completed 2021,    Thesis Title: Reverse order laws of Tensors, Joined as a Post Doctoral fellow at IISC Bangalore,  and next at IIT Gandhinagar,  then Assistant Professor at SRM AP, now Assistant Professoor at NIT Agartala)

(The first and only student of the Mathematics Dept., NIT Raipur to be selected at an NIT)

(iii).  Dr. Vaibhav Sekhar, (Status: Completed 2022,    Thesis Title:  On convegence theory of iterative methods based on matrix splittings and generalized inverses, Joined as a Post Doctoral fellow at IIT Delhi and Assistant Professor, The Central University of Jharkhand)

(The first and only student of the Mathematics Dept., NIT Raipur to be selected at a Central University)

(iv).  Dr. Nirmal Chandra Rout  (Status: Completed 2022,    Thesis Title: Numerical Radius Inequalities of Operators and Tensors, Assistant Professor, Bhadrak Autonomous college, Bhadrak, Odisha)

(The first  student of the Mathematics Dept., NIT Raipur to be selected at a State University)

(v)   Dr. Amit Kumar (Status: Completed 2024,    Thesis Title: Reverse and Forward order laws, joined as an Assistant Professor, Galgotias University, Greater Noida, Post Doctoral fellow at IIT-ISM Dhanbad, and to Join SRM-AP soon)

(vi)  Dr. Aaisha Be (Status: Completed 2025,    Thesis Title: Numerical Ranges, Generalized Inverses and Structured Tensors, joined as an Assistant Professor, Galgotias University, Greater Noida)

(vii)   Mr. Priyaranjan Mallick (Status: Completed 2026,    Topic: Modular Forms, Supercongruences and Generalized Diophantine Equations)

(viii)   Mr. Tikesh Verma (Status: ongoing,   Topic:  Advances on Cayley transform, reverse order laws and structured matrices)

PhD STUDENTS' ACHIEVEMENT:

1. Dr. Krushna Chandra Panigrahy:  Assistant Professor at NIT Agartala

2. Dr. Vaibhav Sekhar: Assistant Professor at Central University, Jharkhand

3. Dr. Nirmal Chandra Rout: Assistant Professor, Bhadrak College, Bhadrak

4. Dr. Amit Kumar: Assistant Professor at SRM AP

4. Int. MSc Project Guidance:   01 (Yasvant Bhim: Lecturer, Bastar, CG)

5.  MSc Project Guidance:   04 (D. Sahoo (Joined IIT Kanpur for PhD), T Kandhapani (lecturer in a residential college) , R. Banerjee, Prasant Yadav)

6. Summer Project Guidance:   03 

7. Co-Guidance:   01 (1. Dr. Bharath Aanchal, Academic Junior Resident, MD in Emergency Medicine, AIIMS Raipur)

8. Total No. of Research Projects: 06 (ANRF-03, CSIR-01, CCOST-02)

No. of  completed projects: 04 (CCOST, YSS:SERB, EMR:CSIR,  MATRICS:SERB) 

No. of  ongoing projects: 02 (CCOST, CRG:SERB) 

The first MATRICS grant reciever of NIT RAIPUR

9. Courses Taught:

                          (i) BTech- Mathematics I,II,III, IV,  and Discrete Mathematics at NIT Raipur

                           (ii) BSc-Differential Equations, and Complex analysis at IMA Bhubaneswar

                           (iii) MSc- Linear Algebra, Real Analysis, and Functional Analysis at NIT Raipur

10. Invited Talks:            

                                  (i) Utkal University

                                 (ii)  Berhampur University

                                 (iii) IIIT Kanchepuram

                                 (iv)  BIT Durg

                                  (v) OUAT Bhubaneswar

                                  (vi) VIT Chennai

12. Administrative Positions held/holding:

                                                                 (i) PIC-Security  (Dec 2019 to Feb 2022)

                                                                 (ii)  Head of the Department (July 2023 to July 2025)

                                                                  (iii) Chairman,  Horticulture Committee (Sept 2025 to till date)

                                                                   (iv) Prof. In Charge(PIC)-Yoga Club (July 2025 to till date)

13.  (i) First Class throughout the carrier  

       (ii) Qualified GATE and NET 

       (iii) Awarded Post-Doctoral Fellowship by NBHM and IMA, BBSR