Research Interests

   Linear Algebraic Geometry Codes: I am currently working on linear codes associated with determinantal varieties and Grassmannians.  Algebraic Function Field: Towers of function fields. The Zeta function of function fields, Hasse-Weil bound, and Ihara’s constant. 

Publications

Preprints 

1.  Fernando Piñero González, Prasant Singh, and Rohit Yadav. Majority Logic Decoding of Affine Grassmann Codes Over Nonbinary Fields. In: Submitted. (2025). doi: https://doi.org/10.48550/arXiv.2507.09741.

2.  Ritesh Dwivedi and Rohit Yadav. On a Recursive Integer Sequence Implying the Nonexistence of Odd Perfect Numbers. In: Preprint (2025). doi: https://doi.org/10.48550/arXiv.2506.01830 . 

Published Problem Solutions 

1. Solution to Problem 12437 of The American Mathematical Monthly.

2. Solved the Problem No. 8 of THE MATHEMATICS STUDENT  Volume 92, Nos. 1-2, January-June (2023) (Page 211) THE MATHEMATICS STUDENT. 

3.  Solved the Problem No. 7 of THE MATHEMATICS STUDENT  Vol. 90, Nos. 1-2, January-June (2021) (Pages 191-192) THE MATHEMATICS STUDENT.

4.   Solved the Problem No. 7 of THE MATHEMATICS STUDENT Vol. 89, Nos. 3-4, July - December (2020) (Pages 191-192)  THE MATHEMATICS STUDENT.

 Invited Talks and Conference Presentations 

1. "Majority logic decoding of affine Grassmann codes", ICTS Workshop on HDXs and Codes, ICTS–TIFR Bengaluru, India (28 April to 09 May 2025).

2. "Majority Logic Decoding of Affine Grassmann Codes Using Nice Lines of Affine Space"  IIT Bombay - Virginia Tech Joint Workshop on Algebraic Coding Theory,

 IIT Bombay,  India August 23-25, 2024.

3. "Decoding of Affine Grassmann Codes", UiT The Arctic University of Norway (06 Nov 2024).

4. "Representations of a Finite Group in Positive Characteristics", University of Bergen, Norway (14 Nov 2024).

Conference/ Workshop Participation

1. ICTS Workshop on HDXs and Codes, ICTS–TIFR Bengaluru, India (28 April to 09 May 2025).

2. Geometric Aspects of Algebraic Varieties, IISER Mohali, India (March 17-19, 2025)

3. Combinatorial Methods in Enumerative Algebra , ICTS-TIFR Bengaluru, India (02-13 Dec 2024)

4. 2nd  International Coding Theory Seminar (ICTS 2024), IIIT Delhi, India, ( Mar 15, 2024).

5. CIMPA-ICTP Online Course - "An Introduction of Gröbner basis and its Applications" by professor Sarfraz Ahmad, CIMPA, Nice, France  (Feb 13- 15, 2024).

6. International Conference on Algebraic Geometry, Coding Theory and Combinatorics (4th to 8th December 2023)       Venue: IIT Hyderabad India.

7. CIMPA-NCM School on "Finite Geometry and Coding Theory" (Nov 20, 2023 - Dec 1, 2023) Venue: IIT Hyderabad.

8. NCM  AIS - Advanced Topics in Finite Fields (2023) Venue: IMSC, Chennai Dates: 10 Jul 2023 to 29 Jul 2023.

9. Algebraic groups, their friends and relations September 18-23, 2022 In honour of Nikolai Vavilov, on occasion of his 70 birthday.

10. NCNGT  September 23-25, 2022.

11. Tarskian Algebraic Logic, Relativity Theory and Methodology of Science – István Németi is 80 (online15 September - 17 September 2022).

12. World of GroupCraft II conference on September 02, 2022.

13. NCM workshop on Finite Groups of Lie type (July 31- Oct 03, 2021).

14. MTTS Online Short Course on Homotopy and Fundamental Groups, July 2020. 

15. Web-Workshop on Metric Spaces on the occasion of 75th Birth Anniversary of Prof. Ramji Lal, jointly organized by “Prof. B. L. Sharma Higher Mathematics Trust” and “Bhavan’s Mehta Mahavidyalaya, Bharwari, Kaushambi, U. P.” from July 18, 2020 to July 31, 2020.