Contact Details:
                            Dr. Ashok Ji Gupta
                            Associate Professor
                            Department of Mathematical Sciences, Indian Institute of Technology(BHU), Varanasi - 221005 (U.P.) India.
                            Phone: +91 9450967574 (Mob.) 
                                        +91 542 2575848 (Res.)
                           E-mail: agupta.apm@itbhu.ac.in
Research Areas: Algebra (Theory of Rings and Modules)
Area of Interest : Coding Theory and Cryptography
Work Experience:

B. Sc. (1992): University of Allahabad
  M. Sc.(1994): University of Allahabad
 Ph. D. (2003): Institute of Technology, Banaras Hindu University

Ph.D.
Under Supervision

• Dr. Varun Kumar, 2011:Generalization of Quasi-Injective and Quasi-Projective Modules and their endomorphism rings.(Co-supervisor-Prof. B M Pandeya)
• Dr. Sanjeev Kumar Maurya,, 2018 (Final viva-voce was held): Direct-injective modules, Finite direct-injective modules and CMS modules.
• Ms. Sonal Gupta, ongoing.
• Mr. Shiv Kumar, ongoing.

Under Co-supervision

• Dr. A. K. Chaturvedi, 2008:Variants of Quasi-Injective modules and their endomorphism rings.
• Dr. Himanshu Ranjan, 2013: Generalization of Quasi-Injective Modules and their endomorphism rings.
• Dr. Suresh Kumar Choubey, 2013:Some Generalizations of Supplemented and Lifting Modules and their properties.

 
M.Tech. : 
Under Supervision

• Mr. Amit Kumar Sinha, 2013:Some study of Elliptic Curve Cryptography
• Ms. Srishti Arora, 2014:Adaptive selection of Cryptographic Protocols for Wireless Sensor Networks using Evolutionary Game Theory
• Ms. Kriti Pandey, 2015:Applications of Circulant Matrices in Encryption and Signature schemes (co-guide: Mr. Manoj Kumar Singh, Scientist, DRDO, New Delhi).
• Mr. Alekh Raj, 2016: Implementation of Convolutional Codes based fast Correlation Attack on Bluetooth Combiner.
• Mr. Aditya Kapoor, 2017; Secret Sharing Schemes based Authentication during Online Financial Transactions.
• Mr. Praveen Kumar Bansal, 2017; Elliptic Curve Cryptography using Non-Commutative Algebraic Structures.
• Mr. Govind Sahai, 2018; Elliptic Curve Cryptography for Secure Image Encryption.
• Mr. Ankit Gupta, 2019; A Neural Key Exchange protocol based Image Encryption using SHA-512.
• Mr. Akash Agarwal, ongoing

Publications: (Published: 18, Accepted: 1, communicated: 1)
Selected publications in Refereed Journals

1. Sanjeev Kumar Maurya and A. J. Gupta: “A Note on Direct Injective modules” Palestine Journal of Mathematics Vol. 8(1) (2019) , 235–241.
2. S. K. Maurya and A. J. Gupta: “Finite Direct Injective modules” International Electronic Journal of Algebra, Vol. 23, 2018, pp 143-152.
3. Manoj Kumar Patel, Varun Kumar and A. J. Gupta: “On Semi-Projective Modules and their Endomorphism Rings” Asian European Journal of Mathematics, Vol. 11, No.1 2018 1850029(1-20).
4. A. J. Gupta, B. M. Pandeya, A. K. Chaturvedi: “SP-Injectivity of Modules and Rings” Asian European Journal of Mathematic, Volume: 5 No: 4 Year: 2012 pp.1-7. 2012.
5. V. Kumar, A. J. Gupta, B. M. Pandeya, and M. K. Patel: “M-SP-Injective   Modules” Asian European Journal of Mathematics,  Vol. No.5,  Issue:1, 2012, pp. 1-11, 2012.
6. V. Kumar, A. J. Gupta, B. M. Pandeya, and M. K. Patel: “M-C-pseudo injective modules” East-West J. of Mathematics, Vol-14, No-1 pp. 68-76, 2012.
7. B. M. Pandeya, A. K. Chaturvedi,  A. J. Gupta:  “Applications of EPI-Retractable modules” Bulletin of Iranian Mathematical Society Vol. 38 No. 2  pp. 469-477, 2012.
8. A. K. Chaturvedi,B. M. Pandeya and A. J. Gupta: “Quasi-pseudo-principally injective modules”  Algebra Colloquium 16 (2009), no-3, 397-402, 2009.
9. A. K. Chaturvedi,B. M. Pandeya and A. J. Gupta: “Quasi c-Principally injective modules and Self-c-Principally Injective Rings” Southeast Asian Bulletin of Mathematics (2009) 33: 685-702, 2009.

Paper Accepted:

1. Sanjeev Kumar Maurya and A. J. Gupta: “Characterization of rings using finite-direct-injective modules” Asian European Journal of Mathematics (Accepted 2019)

Paper Communicated for publication:

A. J. Gupta and Sanjeev Kumar Maurya: “On CMS Modules”.

Engineering Math-1 & 2
Algebra,
Abstract Algebra
Linear Algebra 
Information and Coding theory
Cryptography
Numerical Analysis
Mathematical Methods
 

Membership

• Life member, Indian Mathematical Society
• Life member, Cryptology Research Society of India

 
Refereed Papers in:

• General Mathematics Notes (GMN)
• Thai Journal of Mathematics
• Asian European Journal of Mathematics    
•  
• Course Developed:
• MA 103: Algebra
• MA 311: Linear Algebra
• CSM 322: Information and Coding Theory
• CSM 422: Cryptography
• MA 415:Finite Field
• MA 515: Abstract Algebra
• MA 711: Advances in Rings and Modules
•  
• Conference/Symposia/Workshop organized:
  A QIP short term workshop on “Algebra, Analysis and Applications” organized jointly as course coordinator with Prof. S K Upadhyay in the Department of Mathematical Sciences, IIT(BHU), Varanasi from 03 July-09 July 2017.
•  
• List of Invited talk/Presented paper in the Conferences:
   
• Gave an Invited talk on“A Note on Direct-injective modules” in the Conference on Rings and Factorizations, held at University of Graz, Graz, Austria during February 19-23, 2018.
• Chaired a session in 32^nd Annual national conference of Mathematical Society, Banaras Hindu University On Recent trends in Mathematical Analysis and its Applications held in the Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi during February 17-18, 2017.
• Presented a paper   entitled “C-pseudo Injective Modules” in the International Conference on Algebra and its Applications (ICAA-16) held in the Department of Mathematics, Aligarh Muslim University, Aligarh, India during November 12-14, 2016.
• Presented a paper “M-SP-Injective modules” in the 18^th international conference of International Academy of Physical Sciences on recent trends in Mathematics organized by Faculty of Science, University of Allahabad, Allahabad in collaboration with United Group of institutions, Allahabad during December 22-24, 2015.
• Presented a paper “Some properties of pseudo projective modules” in the international conference on recent trends in Mathematics organized by Department of Mathematics, University of Allahabad, Allahabad, during July 10-12, 2015.
• Gave an Invited talk on “Endomorphism rings of Pseudo Projective modules” in the seventh China-Japan-Korea international conference on Ring Theory, held at Zhejiang University of Technology, Hangzhou, China during 1-7 July 2015.
• Delivered an invited talk on “S P Injectivity of Modules and Rings” in the21^th Annual conference of The Jammu Mathematical Society, held in the Department of Mathematics, University of Jammu, Jammu, India on February 25-27, 2011.
• Presented a paper   entitled “Pseudo Perfect modules” in the International Conference on Algebra and its Applications (ICAA-10) held in the Department of Mathematics, Aligarh Muslim University, Aligarh, India during February 20-22, 2010.
•  
  List of delivered lectures/talks in the workshop/University:
   
• Delivered a talk in the National workshop on “Latest Trends in Mathematics with their Applications” organized by the Department of Science and Humanities(Mathematics) at NIT Nagaland, during December 11-15, 2017 under TEQIP-III.
• Delivered a talk on “Error Correcting Codes” in the department of Mathematics and Statistics, Gurukul Kangari Vishwavidyalaya, Haridwar during September 25-26 2017.
•  Delivered a talk in the QIP short term workshop on “Algebra, Analysis and Applications” was held in the Department of Mathematical Sciences, IIT(BHU), Varanasi from 03 July-09 July 2017.
• Delivered two invited lectures on “System of Linear Equations and Rank of Matrices” in Advanced Training Programme in Linear Algebra and Analysis-2009 for Undergraduate Students held at the Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi, India during Nov 25-Dec 04, 2010.
•  
  List of workshop/Orientation/Refresher courses attended:-
   
• National Instructional Workshop on Cryptology (NIWC-2015) held at Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla(H.P.) India during 18-22 May, 2015.
• National Instructional Workshop on Graph Theory and its Applications held at DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi, India during 23-28 May 2011.
• 1^st Refresher Course in Information and Communication Technology Applications (Multidisciplinary) held at UGC Academic Staff College, Banaras Hindu University, Varanasi, India during from May 23, 2009 to June 12, 2009.
• Discussion Meeting on Finite Fields and Coding Theory organized at the Harish-Chandra Research Institute (HRI), Jhunsi, Allahabad, India during 02-14 November, 2009.

• Member of Purchase committee of the department 2018-19
• Examination-in-Charge of the department 2017-18, 2018-19.
• Convener DUGC of the department for session 2015-2016 and 2016-17.
• Member of Academic Performance Evaluation Committee(APEC) of IIT(BHU) 2017.
• Member, DPGC department of Mathematical Sciences, IIT(BHU) 2014-15, 2015-16, 2018-19.
• External Member of Board of Studies of VBS Purvanchal University, Jaunpur, 2015-16, 2016-17.
• External Member of Research Degree Committee (RDC) of VBS Purvanchal University, Jaunpur, 2015-16, 2016-17.
• Warden in Limbdi and Vishvakarma Hostel, Admin Warden in Vishveswaraya Hostel IIT(BHU).
• Members of several co-ordination committees and conveners in the different courses of the Department of Mathematical sciences.

• Member in Time-Table committee of the department in session 2009-10, 2010-11 and 2016-17.