American Journal of Mathematics and Statistics

American Journal of Mathematics and Statistics is to publish well-written original research articles and studies describing the latest research and developments in the field of mathematics and statistics. This is a broad-based journal covering all branches of mathematics, statistics and interdisciplinary research.

Akhilesh Kumar Singh

Editorial Board Member of American Journal of Mathematics and Statistics

Post-doctoral Fellow, Motilal Nehru National Institute of Technology, India

Research Areas

Numerical Analysis, Measure Theory, Quantum Logics

Education

2009D.Phil.University of Allahabad
2005M.Sc. (Math)University of Allahabad
2003B.Sc. (P.C.M.)University of Allahabad

Experience

presentResearch Associate (R.A.) in Department of Mathematics under C.S.I.R. project, Motilal Nehru National Institute of Technology (M.N.N.I.T.), Allahabad
2009-2011Lecturer in Mathematics, Department of Applied Sciences and Humanities, United College of Engineering and Research, Allahabad, India (affiliated with Gautam Buddha Technical University, Lucknow)
2005-2010Research Assistant, Allahabad Mathematical Society, Allahabad

Academic Achievement

Stood 2nd in Order of Merit in M.Sc. Mathematics in University of Allahabad, Allahabad
Bronze Medal for securing 3rd in Order of Merit in B.Sc. Mathematics in Ewing Christian College (E.C.C.), University of Allahabad, Allahabad
Secured 1st Rank in District level Science quiz contest (District- Ambedkar Nagar, U.P., India, 1999)
Examiner in various Indian Universities

Membership

Ramanujan Mathematical Society, Triuchirappali (Life Membership, No. 011)
Indian Mathematical Society, New Delhi (Life Membership, No.: L/ 2010/55)
Allahabad Mathematical Society, Allahabad (Life Membership, No.: LM/09/181)

Publications: Conferences/Workshops/Symposiums/Journals/Books

[1]  Mona Khare and Akhilesh Kumar Singh, The range of non-atomic measures in effect algebras, Demonstratio Mathematica (Warsaw University of Technology, Poland), 43 (3), (2010), 497-510.
[2]  Mona Khare and Akhilesh Kumar Singh, Weakly tight functions, their Jordan type decomposition and total variation in effect algebras, Journal of Mathematical Analysis and Application (Academic Press, Elsevier), 344 (1), 1 August 2008, (2008), 535-545. DOI: 10.1016/j.jmaa.2008.03.017
[3]  Mona Khare and Akhilesh Kumar Singh, Pseudo-atoms, atoms and a Jordan type decomposition in effect algebras, Journal of Mathematical Analysis and Application (Academic Press, Elsevier), 344 (1), 1 August 2008, (2008), 238-252. DOI: 10.1016/j.jmaa.2008.03.003
[4]  Mona Khare and Akhilesh Kumar Singh, Atoms and Dobrakov submeasures in effect algebras, Fuzzy Sets and Systems (North Holland Publication, Elsevier), 159 (2008), 1123-1128. DOI: 10.1016/j.fss.2007.11.005
[5]  Mona Khare and Akhilesh Kumar Singh, Atoms and a Saks type decomposition in effect algebras, Novi Sad Journal of Mathematics (Serbia and Montenegro), 38 (1), (2008), 59-70.
[6]  Akhilesh Kumar Singh, Non-atomic measures and integrals on effect algebras, communicated.
[7]  Anand Shukla, Akhilesh Kumar Singh and P. Singh A recent development of numerical methods for solving convection-diffusion Problems, Applied Mathematics (Scientific and Academic Publishers, U.S.A.), 1 (1), (2011), 1-12.
[8]  Presented a research paper entitled "Atoms and Submeasures in effect algebras" (written jointly with M. Khare) at National Conference on "Mathematical Analysis and Allied Areas" organized by B.H.U. Mathematical Society at Banaras Hindu University (B.H.U.), Varanasi (Dec. 30-31, 2008).
[9]  Presented a research paper entitled "Atoms and a Saks type decomposition in an effect algebra" (written jointly with M. Khare) at National Conference on "Mathematical Analysis and Allied Areas" at Banaras Hindu University (B.H.U.), Varanasi (Feb. 22-24, 2007).
[10]  Presented a research paper entitled "Weakly tight functions and a Jordan type decomposition in an effect algebra" (Written jointly with M. Khare) at National Conference on "Mathematical Analysis and Allied Areas" at Banaras Hindu University (B.H.U.), Varanasi (Feb. 22-24, 2007).