1. On Infinity Type Hyperplane Arrangements and Convex Positive Bijections

Author: C P Anil Kumar

Journal: Indian Journal of Pure and Applied Mathematics (IJPA), May, 2024, Published Online.

2. On the Positivity Conjecture for Finite Abelian p-Groups

Author: C P Anil Kumar

Journal: Séminaire Lotharingien de Combinatoire (SLC), Accepted  in November, 2023.

3. On Rational sets in Euclidean Spaces and Spheres

Author: C.P. Anil Kumar.

Journal: Journal of the Ramanujan Mathematical Society, Vol. 38, Issue 2, 2023, pp. 107-120.

4. On the Surjectivity of Certain Maps III: The Unital Set Condition

Author: C P Anil Kumar 

Journal: Journal of the Ramanujan Mathematical Society, Vol. 37, Issue 4, 2022, pp.347-373.

5. On the Endomorphism Semigroups of Extra-special p-Groups and Automorphism Orbits

Authors: C P Anil Kumar and Soham Swadhin Pradhan

Journal: International Journal of Group Theory, Vol. 11, No. 4, 2022, pp. 201-220.

6. On the Coherent Edge-Labelling of a Polyhedron in Three Dimensions

Author: C P Anil Kumar

Journal: Mathematics Newsletter, Ramanujan Mathematical Society, Vol. 32, Dec.-Mar. 2021-2022, Issue No. 2, pp. 55-65.

7. On a Conjecture of Kelly on (1, 3)-representation of Sylvester Gallai Designs

Author(s): C.P. Anil Kumar and Anoop Singh

Journal: Proceedings Mathematical Sciences: The Indian Academy of Sciences (PMSC), Vol. 132, Art. ID. 24, Year 2022, Pages 14.

8. On the Enumeration of Certain Type of Hyperplane Arrangements

Author: C.P. Anil Kumar.

Journal: Proceedings Mathematical Sciences: Indian Academy of Sciences (PMSC), Vol. 131, Art. ID. 35, Year 2021, Pages 29.

9. A Weighted Inequality

Author: C.P. Anil Kumar.

Journal: Mathematics Newsletter, Ramanujan Mathematical Society, Vol. 31, Issue 3, Dec-Mar 2020-2021, pp. 101-104.

10. A Combinatorial Identity for the p-Binomial Coefficient Based on Abelian Groups

Author: C.P. Anil Kumar.

Journal: Moscow Journal of Combinatorics and Number Theory, Vol. 10, No. 1, Jan.2021, pp. 13-24.

11. On the Surjectivity of Certain Maps II: For Generalized Projective Spaces

Author: C.P. Anil Kumar.

Journal: Journal of the Ramanujan Mathematical Society, Vol. 35, Issue 3, Sep. 2020, pp. 241-262.

12. On the Triangles in Certain Types of Line Arrangements

Author: C.P. Anil Kumar.

Journal: Discrete Mathematics, Algorithms and Applications, Vol. 13, No. 3, 2021, 2150031, 23 pages.

13. On the Factorization of Two Adjacent Numbers in Multiplicatively Closed Sets Generated by Two Elements

Author: C.P. Anil Kumar.

Journal: Proceedings Mathematical Sciences: The Indian Academy of Sciences (PMSC), Vol. 130, Art. ID. 37, Year 2020, Pages 16.

14. A Representation Theorem for Generic Line Arrangements with Global Cyclicity in the Plane

Author: C.P. Anil Kumar.

Journal: The Journal of Indian Mathematical Society (JIMS), Vol. 87, Nos. 1-2, 2020, pp. 96-113.

15. On the Gaps in Multiplicatively Closed Sets generated by at most Two Elements

Author: C.P. Anil Kumar.

Journal: Proceedings Mathematical Sciences: The Indian Academy of Sciences (PMSC) Jun. 2019, Vol. 129, Art.ID-42, Issue 3, 15 Pages.

16. On the surjectivity of certain maps

Author: C.P. Anil Kumar.

Journal: Journal of the Ramanujan Mathematical Society (JRMS), Vol. 33, Issue 4, Dec. 2018, pp. 335-378.

17. Thesis Paper II: Permutation Representations of the Automorphism Group of a Finite Module over a Discrete Valuation Ring

Author: C.P. Anil Kumar.

Journal: Proceedings Mathematical Sciences: The Indian Academy of Sciences (PMSC) Apr. 2017, Vol. 127, Issue 2, pp. 295-321.

18. Maximal Noncommuting Sets in Unipotent Upper Triangular Linear Group UU4(F_q)

Author(s): C.P. Anil Kumar, Sunil Prajapati

Journal: Acta Mathematica Hungarica (AMH), Feb. 2017, Vol. 151, Issue 1, pp. 82-116, 35 pages.

19. Approximation of Quadrilaterals by Rational Quadrilaterals in the Plane

Author: C.P. Anil Kumar.

Journal: Proceedings Mathematical Sciences: The Indian Academy of Sciences (PMSC) Feb. 2017, Vol. 127, Issue 1, pp. 69-90.

20. Thesis Paper I: Orbits of Pairs in Abelian Groups

Author(s): C.P. Anil Kumar, Amritanshu Prasad.

Journal: Séminaire Lotharingien de Combinatoire (SLC), Issue. 70, Art. B70h, March 2013.

21. On Fuglede’s Conjecture for Three Intervals

Author(s): Debashish Bose, C.P. Anil Kumar, R.Krishnan, Shobha Madan.

Journal: Online Journal of Analytic Combinatorics (OJAC), Issue. 5, Year-2010.

1.  Antipodal Point Arrangements on Spheres, Classification of Normal Systems

Author: C.P. Anil Kumar.

Journal: Indian Journal of Pure and Applied Mathematics. Submitted on Nov. 25, 2020.

2. On the Surjectivity of Certain Maps IV: For Congruence Ideal Subgroups of Type A_k and C_k

Author: C.P. Anil Kumar

Journal: Journal of the Ramanujan Mathematical Society, Submitted on Aug. 06, 2023.

3. On the Reduciblity of a Certain Type of Rank 3 Uniform Oriented Matroid by a Point

Author: C.P. Anil Kumar.

Journal: Proceedings Mathematical Sciences, The Indian Academy of Sciences. Submitted on Aug. 13, 2023.

4. On the Vanishing Criterion for the Cohomology Groups of the Automorphism Group of a Finite Abelian p-Group

Author(s): C.P. Anil Kumar and Soham Swadhin Pradhan.

Journal: Tunisian Journal of Mathematics. Submitted on Nov. 13, 2023.

1. On a Projective Space Invariant of a Co-torsion Module of Rank Two over a Dedekind Domain

Author: C.P. Anil Kumar.

2. On Very Generic Discriminantal Arrangements

Author: C.P. Anil Kumar.

This article is cited in “A classification of combinatorial types of discriminantal arrangements” by So Yamagata, Journal of Algebraic Combinatorics (2023) 57:1007–1032, https://doi.org/10.1007/s10801-022-01207-1 

3. On the Generic Point Arrangements in Euclidean Space and Stratification of the Totally Nonzero Grassmannian

Author: C.P. Anil Kumar