Welcome to my home page. I am currently working as an Assistant Professor at the Government Engineering College under the Dept. of Science and Technology, Govt. of Bihar, India.

My research area includes Cryptography, Number sequences, Number theory, Special matrices, and Enigma machines. 

Please follow the links in the navigation bar at the top to find out more about my activities. 

Interests:

Academic: Number Sequences (Fibonacci, Lucas, Mersenne, Balancing, Leonardo and Horadam numbers), Special Matrices (Circulant, Hankel, and Toeplitz, etc.) Number Theory, Cryptography, and Enigma Machines. 

Non-Academic: YouTuber, Social Educator, Cultural Activity, Social Service & Activity, Teaching, Writing, Acting, Farming, P Kalika Maths group for NET/GATE/Research, etc.

Workshop/Conference Attended

1. Poster presented in INDIAN WOMEN AND MATHEMATICS (IWM) Annual Conference at IIT Patna (Entitled: 'The inner workings of Leonardo polynomials: Algebraic insights') on July 10 - 12, 2025 (Offline).

2. Paper presented in International Conference on Diophantine Equations, Polynomials and Related Areas at Indian Statistical Institute, Delhi Centre (Entitled: 'The Leonardo polynomials: a new class of irreducible polynomials and their properties') on Nov. 26 - 30, 2024 (Offline).

3. Paper presented in Karaelmas International Science and Engineering Symposium (KISES'24) at Zonguldak Bülent Ecevit Üniversitesi, Zonguldak, Türkiye (Entitled 'Role of recursive matrices in Affine-Hill cipher for key space')  on May 10 - 11, 2024  (Online).

4. Symposium on 'International Women in Mathematics Day' by the Department of Mathematics, IIT Patna (Poster presented entitled: Some properties of generalized Lucas matrices) on Feb. 24, 2024 (Offline). 

5. Presented Paper in International First Joint IIIMT – Algebra Forum Conference 2023 by the Departement of Mathematics and Natural Sciences, Mataram University, Indonesian (Entitled: Some Properties of Balancing Hankel and Balancing Toeplitz Matrices) on Dec. 16 - 17, 2023 (Online).

6. Five Days International FDP on “Applications of Mathematics in Various Fields with Innovative Approaches” by the Department of Mathematics, Bapatla Engineering College, Bapatla on Nov. 21 to 25, 2023 (Online).

7. Presented Paper in 'International E-Conference of Young Researchers in Algebra and  Number Theory-2023' by the Faculty of Sciences Dhar El Mahraz, Fez, Morocco. (Entitled: Various Binomial and Catalan Transforms with the k-Leonardo Sequence), on Jan. 12-13, 2023 (Online).

8. Presented Paper in 'International Conference on Nonlinear Analysis and Applications (ICNAA-2022)' by the Dept. of Mathematics, Assam Don Bosco University, Sonapur, Assam, India, on Nov. 22-23, 2022 (Offline).

9. Presented Paper in ‘International Conference on Mathematical Analysis & Applications, 2022 (ICOMAA 2022)’ by the Dept. of Mathematics, University of Kalyani, India  (Entitled: Extended k-Horadam like sequences & Binet's Formula) on June 28-29, 2022 (Online).

10. Presented Paper in 'International Conference on Mathematical Science and Its Recent Advancements (ICMSRA-2022)' by Rathinam College of Arts and Science, Coimbatore on May 5-7, 2022 (Online).

11. Presented Paper in ‘International Conference on Advance Trends in Computational Mathematics, Statistics and Operations Research (ICCMSO 2022)’ by the Department of Applied Sciences, The NorthCap University, Gurugram, India on  April 2-3, 2022 (Online).

12. Presented Paper in ‘International Conference on 'Analysis and Discrete Mathematics' & "49th Annual Conference of OMS"’ at P.G. Dept. of Mathematics, Utkal University, Bhubaneswar, India held on March 26-27, 2022 (Offline).

13. INDOCRYPT -2021: 22nd International Conference on Cryptology in India by LNMIIT, Jaipur during December 13-15, 2021.

14. 2nd International Webinar on ‘Recent Developments in Number Theory (RDNT-2021)’ by School of Applied Sciences (Mathematics) by Kalinga Institute of Industrial Technology (KIIT) University, Bhubaneswar during October 01-04, 2021.

15. Five Days Webinar on ‘Stability Analysis and Cryptography in Engineering’ by Department of Mathematics, KPRIET, Coimbatore during August 09-13, 2021.

16. Presented Paper in International Conference On ‘New Trends In Differential Equations And Applied Mathematics (ICNTDEAM - 2021)’ by Sri Vidya Mandir Arts and Science College (Autonomous), Krishnagiri on April 12-13, 2021 (Online).

17. Delivered Hands-on-session on workshop 'LaTeX Learning: A Hands on Training' in Collaboration with NIT Andhra Pradesh, IEEE PES & PELS Student Branch Chapter on December 27-30, 2020.

18. Delivered invited talk on 'CYBER SURAKSHA: How to Be Secure in This Digital Era' at Government Polytechnic, Nawada, Department of Science & Technology(DST), Govt. of Bihar, on August 30, 2020.

19. Invited talk on 'CYBER SECURITY: WHY & HOW?' at Government Polytechnic, Gaya, Department of Science & Technology(DST), Govt. of Bihar, June 27, 2020.

20. Paper Presentation in Online International Conference on ‘Advances in Computing, Communication and Control’ (ICA3C-2020) at IIMT University, Meerut, Uttar Pradesh, June 16-17, 2020. 

21. National Level Five Days FDP on “Scilab” in Association With IIT-Bombay (Remote Learning Through Spoken Tutorial) during June 15-19, 2020 

22. Organized and Delivered Talk in Online ‘LaTeX Learning: A Hands-on Training’ Program on June 06-08, 2020 

23. National Webinar on “Python Programming and Computer Vision” held on 25th & 26th May 2020 

24. Six Weeks Course on Introduction to SageMath conducted online under the aegis of TEQIPIII in collaboration with MTTS Trust from May 20 to June 29, 2020. 

25. Paper Presentation in 3rd International Conference on Advanced Mathematical Analysis and its Application, at Berhampur University held on Feb 04-05, 2020.

26. Workshop on “History of Mathematics before 16th century”  to celebrate National Mathematics Day-2019 (December 30-31, 2019) at NASI Allahabad.

27. Five days ATAL Academy FDP on ''Cyber Security''  (September 16-20, 2019) at Central University of Jharkhand, Ranchi.

28. Six days workshop on "Modern Cryptography" (July 1-6, 2019) at NIT Jamshedpur.

29. Workshop on “Finite Fields and Galois Theory” to celebrate National Mathematics Day-2018 (December 22-23, 2018) held at the National Academy of Sciences, India, Allahabad

30. NASI- TIMC Workshop on Coxeter Groups, (December 17-19, 2018) held at Indian Institute of Technology Patna

31. One day workshop on Research Methodology and Latex Learning, (December14, 2018) held at Central University of Jharkhand, Ranchi.

32. Indian Women and Mathematics Regional Workshop on Research and Career Opportunities (October 27-28, 2018) held at NISER, Bhubaneswar.

33. Workshop on Numerical Techniques for PDEs (July 10 - 14, 2017) held at VNIT, Nagpur.

34. National Instructional Workshop on Cryptography (July 05 - 07, 2017), held at LNMIIT Jaipur.

35. Indian Women and Mathematics Regional Workshop on Research and Career Opportunities (December 20-21, 2016), held at IIT Gandhinagar, Gujrat.

36. National Workshop on Cryptography (Dec 14 - 20, 2015) held at LNMIIT Jaipur.

37. ”Science Academies’ Lecture Workshop” on Theory of Equations, (October 16-17, 2014), held at Shivaji College, University of Delhi.

38. Two days Workshop on ”Computer science & Differential Equation” (March 07-08, 2014), Held at Deshbandhu College, University of Delhi