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Dr Anil Kumar C P

Dr Anil Kumar C P

Associate Professor, Mathematics
PhD, The Institute of Mathematical Sciences, Chennai
[email protected]

Dr Anil Kumar C P is a mathematician who works in combinatorics, topology, number theory, algebra, geometry and representation theory. He received his five-year Integrated MSc in Mathematics from the Indian Institute of Technology, Kanpur. Then he did another Masters in Mathematics from the Ohio State University, Columbus, Ohio, USA. He was in the industry at Infosys Technologies Limited, Bengaluru for a period of five years. He got his PhD from The Institute of Mathematical Sciences, Chennai. He held postdoctoral positions at the Indian Statistical Institute, Bengaluru, Center for Study of Science, Technology and Policy, Bengaluru and the Harish-Chandra Research Institute, Prayagraj. He is a passionate researcher and during his postdoctoral period he has published more than fifteen papers in various areas of mathematics. He has been awarded several merit scholarships such as NBHM scholarships.

He loves playing volleyball, frisbee, swimming, hiking, juggling, solving Rubik’s cubes/dodecahedron and cycling.

 

Research

Combinatorics

Topology

Number Theory

Algebra

Geometry

Representation Theory

 

Publications

Publications

    1. 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.

    1. 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.

    1. 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.

    1. 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.

    1. 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.

    1. 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.

    1. 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.

    1. 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.

    1. 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.

    1. 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.

    1. 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.

    1. 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.

    1. 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.

    1. 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.

    1. 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.

    1. 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.

    1. 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.

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

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

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

    1. 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.

 

Problem Proposals and Solutions

    1. Problem Title:Forbidden Permutations

Journal Publication: Solution: American Math Monthly, The Mathematical Association of America, Problem No. 12300, Sep−2023 (Published Online), Page No. 8 − 9.

    1. Problem Title:Golden Eigenvalues of Special Matrices

Journal Publication: Solution: American Math Monthly, The Mathematical Association of America, Problem No. 12240, Jan−2023, Page No. 87 − 88.

    1. Problem Title:A Matrix Equation

Journal Publication: Solution: American Math Monthly, The Mathematical Association of America, Problem No. 12173, Dec.−2021, Page No. 950 − 951.

    1. Problem Title:Integers Pairs on an Ellipse

Journal Publication: Solution: American Math Monthly, The Mathematical Association of America, Problem No. 12161, Sept.−2021, Page No. 760 − 761.

    1. Problem No(s):4531, 4540, 4547, 4548, 4549, 4550, OC476, OC477, OC478, OC479,OC480, OC481, OC482, OC483, OC485, Crux Mathematicorum Volume 46, 2020

Journal Publication: Crux Mathematicorum Volume 46, (SP)-Solvers and Proposers List.

    1. Problem No: 4549, Crux Mathematicorum Volume 46, Number 05, May 2020, Page 227

Journal Publication: Crux Mathematicorum Volume 46, Number 10, Dec. 2020, pp. 526-527.

    1. Problem No:4297, Crux Mathematicorum Volume 43, Number 10, Dec. 2017, Page 447

Journal: Crux Mathematicorum Volume 44, Number 10, Dec. 2018, pp. 434-436.

    1. Problem Title:Irreducibility of a Polynomial

Journal Publication: Solution: Mathematical News Letter, Ramanujan Mathematical Society. Problem No. 7, Volume 22#2, Month September, Year 2012, Page No. 192 −193.

    1. Problem Title:Divisor Polygon, Problem Proposed by C P Anil Kumar

Journal Publication: Problem: Mathematical News Letter, Ramanujan Mathematical Society. Problem No. 4, Volume 22#2, Month September, Year 2012, Page No. 191.

    1. Problem Title:Irreducible Polynomials from a Theorem of Fermat

Journal Publication: Solution: American Math Monthly, The Mathematical Association of America, Problem No. 11283, May − 2009, Page No. 465 − 466.

    1. Problem Title:The Square Root of a Certain Matrix

Journal Publication: Solution: American Math Monthly, The Mathematical Association of America, Problem No. 11224, May − 2008 Page No. 466 − 467

 

Teaching Modules

Combinatorics

Topology

Number Theory

Algebra

Geometry

Representation Theory