Vipul Kakkar

Group Theory

Reviewer in

MathSciNet American Mathematical Society
Communications in Algebra
National Academy of Science Letters
Quasigroups and Related Systems

Book

A book entitled "Set Theory: Read it, Absorb it and Forget it" is jointly published by Narosa Publishing House, New Delhi (ISBN: 978-81-8487-543-0) and Alpha Science International Ltd, United Kingdom
स्नातक एवं परास्नातक छात्रों के लिए संख्या सिद्धांत नामक एक पुस्तक प्रकाशित (ISBN: 9789391101268) खरीदने के लिए क्लिक करें

Major Project Supervised

Title: Counting The Subgroups of Some Finite Groups (Student: Ms. Meenu) (Year: 2018)
Title: Automorphism Groups of Semi-Direct Product of Groups (Student: Mr. Prashant Kumar) (Year: 2018)
Tilte: Commuting Graphs of Generalized Dihedral Groups (Student: Mr. Gopal Singh Rawat) (Year: 2018)
Title: Generalized Dihedral Groups (Student: Mr. Rupa Ram Kansania) (Year: 2018)
Title: Topological Groups (Student: Mr. Praeep Yogi) (Year: 2019)
Title: An Overview of Lie Algebra (Student: Ms. Pratibha Mahan) (Year: 2019)
Title: p-adic Analysis (Student: Mr. Dinesh Nayak) (Year: 2019)
Title: A Study of De Rham Cohomology (Student: Mr. Khema Ram Tholiya) (Year: 2019)
Title: Fibonacci Sequence of Some Finite Groups (Student: Mr. Mohit Sharma) (Year: 2020)
Title: Learning Difficulties of the Learners in the Algebra and Effective Teaching Learning Strategies in the Learning Algebra at Senior Secondary School Mathematics (jointly with Department of Education) (Student: Mr. Vikram Kumar) (Year: 2021)
Title: A Study on the Effectiveness and Challenges of Digital Pedagogy in Mathematics (jointly with Department of Education) (Student: Mr. Anooj Kumar) (Year: 2021)
Title: Orthomorphism and Group Action (Student: Ms. Meenu Sharma) (Year: 2021)
Title: Orthomorphism of Groups and Latin Square (Student: Ms. Indu Bala) (Year: 2021)

S. No.	Authors	Title of Article	Journal/Conference Details	Journal/Conference	Publication Year
1	1

Publications

(Vijay Pal Bajiya, Jai Prakash Tripathi, Yun Kang) Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model. Int. J. Biomath. 15 (2022), no. 7, Paper No. 2250045, 49 pp
(Ratan Lal) Automorphisms of Zappa-Szép products. Adv. Group Theory Appl. 14 (2022), 95–135. 20D45
(Ratan Lal) Gyrogroups associated with groups, Communications in Algebra, https://doi.org/10.1080/00927872.2021.1959924
(Ramji Lal, Ratan Lal, A. K. Yadav) Generalized right near domains and sharply 2-transitive groups, Journal of Algebra and Its Applications, Vol. 20, No. 10, 2150176 (2021)
(V. P Bajiya, J. P. Tripathi, J. Wang, G. Sun) Global Dynamics of a Multi-group SEIR Epidemic Model with Infection Age, Chinese Annals of Mathematics, Series B, doi: 10.1007/s11401-021-0294-1
(Ratan Lal) Classifying gyrotransversals in groups. Asian-Eur. J. Math. 14 (2021), no. 10, Paper No. 2150182, 15 pp.
(Mani Shankar Pandey, S K Upadhyay) A construction of bent functions on a finite group. Nat. Acad. Sci. Lett. 43 (2020), no. 3, 247–251.
(Manoj Yadav, Sumna Hatui), The Schur Multipliers of p-Groups of Order p^5, accepted for publication in Journal of Group Theory, available on arxiv.org
Boolean Loops with Compact Left Inner Mapping Groups are Profinite, Topology and its Application, Vol. 244, 2018, pp. 51-54
(Gopal Singh Rawat), On Commuting Graphs of Generalized Dihedral Groups, accepted for publication in Discrete Mathematics, Algorithms and Applications, available on arxiv.org
(Vivek K Jain), A Study of Groups through Transversals, available on arxiv.org
(A. C. Yadav, L. K. Mishra) On Free Right Loops, National Academy of Sciences Letters, Vol. 41, No. 6, 2018, pp. 395-397
An Example of a Right Loop Admitting Only Discrete Topologization, to appear in National Academy of Sciences Letters, available on arxiv.org
(A. C. Yadav), Public Key Exchange Using Right Transversals and Right Loops, Journal of Discrete Mathematical Sciences & Cryptography, Vol. 20, No. 5, 2017, pp. 1207-1215
(V. K. Jain), Solvable and Nilpotent Right Loops, Acta Universitatis Sapientiae, Mathematica, Vol. 9, No. 1, 2017, pp. 202-212
(R. P. Shukla), Some Characterizations of a Normal Subgroup of a Group and Isotopic classes of Transversals, Algebra Colloquium, Vol. 23, No. 3, 2016, pp. 409-422
(L. K. Mishra), On Transiso Graph, Asian-European Journal of Mathematics, Vol. 8, No. 4, 2015, pp. 1550070-1 - 1550070-11
(R. P. Shukla), On the Congruences in Right Loops, Communications in Algebra, Vol. 43, No. 12, 2015, pp. 5121-5130(R. P. Shuka),
On the Number of Isomorphism Classes of Transversals, Proc. Indian Acad. Sci. (Math. Sci.), Vol. 123, No. 3, August 2013, pp. 345-359

Awarded Start-up grant from UGC, India (Grant No. F.30-414/2018 (BSR)).

Attended

Workshops and Training Courses

The Fourth Annual Foundation School In Mathematics (Dec 03-28, 2007) at Indian Institute of Technology, Kanpur.
Workshop On Compact Lie Groups and their Reprsentations (Non 17-29, 2008) at Harish-Chandra Research Institute, Allahabad.
The Fourth Annual Foundation School II (June 08-July 04, 2009) at Bhaskaracharya Pratisthan and University of Pune.
Discussion Meeting on Finite Fields and Coding Theory (Nov 02-14, 2009) at Harish-Chandra Research Institute, Allahabad.
Advanced Instructional School in Representation Theory (June, 02-24, 2010) at Indian Statistical Institute, Bangalore.
International Workshop on Algorithmic Problems in Group Theory and Related Areas (July 26-Aug 07, 2010) at Sobolev Institurte of Mathematics, Russia and NSTU, Russia.
Advanced Training in Mathematics on Lie Groups and Lie Algebras (Aug 22-27, 2011) at Harish-Chandra Research Institute, Allahabad.
Workshop on Chevalley Groups at Indian Institute of Science Education and Research, Pune.
Instructional School on Schur Multiplier and Related Topics (March 01-08, 2014) at Harish-Chandra Research Institute, Allahabad.
Four Weeks Induction Training Program (May 1-26, 2018) at Central University of Rajasthan, Rajasthan.

Conference Attended

74th Annual Conference of Indian Mathematical Society (Dec 27-30, 2008) at University of Allahabad, Allahabad.
26th Annual Conference of Ramanujan Mathematical Society (Oct 02-05, 2011) at University of Allahabad, Allahabad.
International Conference on Group Theory and Lie Theory (Mar 19-21, 2012) at Harish-Chandra Research Institute, Allahabad.

Paper Presented and Contributed Talk

A contributed talk in National Conference on Advances in Mathematical Sciences (October 5-7, 2012) at Motilal Nehru National Institute of Technology, Allahabad on the topic "On the Isotopic Classes of Transversals".
A contributed talk in 27th Annual Conference of Ramanujan Mathematical Society (Oct 20-23, 2012) at Shiv Nadar University, New Delhi on the topic "On the Left non-singular elements and Isotopic Classes of Transversals".
A contributed talk in 78th Annual Conference of Indian Mathematical Society (Jan 22- 25, 2013) at Banaras Hindu University, Varansi on the topic "Some Characterizations of a Normal Subgroup of a Group".
A contributed talk in Discussion Meeting on Group Theory (May 08-11, 2014) at Indian Institute of Science Education and Research, Mohali on the topic "On the Congruences in Right Loops".
A contributed talk in International Conference on Algebra and Analysis ( December 19 – 22 , 2017 ) at Department of Mathematics, Savitribai Phule Pune University, Pune.

Invited Lecture in the Workshop

On some topics of Number Theory in a workshop entitled "A Winter Workshop on Mathematics and Its Applications" during Jan 07-21, 2008 organized by Allahabad Agriculture Institute-Deemed University, Allahabad.
On some topics of Linear Algebra in a workshop entitled "Summer School-2011" during May 30-June 11, 2011 organized by Central University of Bihar, Patna.
On some topics of Differential Forms in a workshop entitled "National Seminar on Differential Equations and Its Applications" during Feb 26-27, 2013 organized by Sam Higginbottom Institute of Agriculture, Technology & Science, Allahabad.
On some topics of Linear Algebra in a workshop entitled "National Workshop on Linear algebra and its Applications" during March 06-08, 2013 organized by Sam Higginbottom Institute of Agriculture, Technology & Science, Allahabad.
On some topics of Module Theory in a workshop entitled "National Workshop on Module Theory" during Dec 15-19, 2014 organized by Central University of Kerala, Kerala.
On some topics of GAP in a workshop entitled "Instructional Workshop on R, Scilab and GAP" during Jan 07-16, 2015 organized by Sam Higginbottom Institute of Agriculture, Technology & Science, Allahabad.

Invited Talk in the Conference

5th Annual National Conference in Algebra Mathematics on Recent Developments in Algebra and Analysis (Dec 13-14, 2018) Organized by Department of Mathematics, Government Gandhi Memorial Science College, Jammu.

Organized

Instructional School on Schur Multiplier and Related Topics during March 01-08, 2014 at Harish-Chandra Research Institute, Allahabad.

35th Annual Conference of Ramanujan Mathematical Society during 28-30 December, 2020 at Central University of Rajasthan.

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Dr. Vipul Kakkar

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