University of Delhi
NAAC Grade A++ with CGPA 3.71 NIRF Rank # 12 (Amongst Colleges)Professor / NCC Officer (Lieutenant) / Hostel Warden | Department of Mathematics
Contact (Off.): 011-27667458
Email Address : drarvind[at]hrc[dot]du[dot]ac[dot]in
Cryptography,Cryptanalysis, Information Security, Algebra , Number Theory, Fluid Dynamics, Fuzzy Set theory
1. Worked as Scientist in DRDO from 31st May 2005 to 17th jan 2011.
2. Worked as an Assistant professor in Dept. of Mathematics , Hansraj college(D.U.) from Jan 18, 2011 to 18th Jan 2019.
3. Worked as an Associate professor in Dept. of Mathematics , Hansraj college(D.U.) from Jan 19, 2019 to 18th Jan 2022.
4.Currently Working as Professor in Dept. of Mathematics , Hansraj college(D.U.) from Jan 19, 2022 to till date.
Numerical Methods, Partial Differential Equation , Ordinary Differential equation , Algebra , Cryptography, C ++
Research Area : Cryptography, Cryptanalysis, Information Security, Algebra , Number Theory , Fluid Dynamics, Fuzzy set theory
Linear Stability Analysis of Stratified Flows through Porous Media: Effect of Anisotrophy, Magnetic Field and Suspended Particles.(Awarded June 2008)
Successfully completed two Innovation Research Project as PI , funded by Research council of university of Delhi.
(i) Author of an E- Lesson Titled “Vector Spaces” for Institute of Lifelong Learning, University of Delhi.(ISSN: 2349-154X, ISBN: 978-93-86264-07-7)
(ii) Author of an E- Lesson Titled “Linear Transformations” for Institute of Lifelong Learning, University of Delhi.(ISSN: 2349-154X, ISBN: 978-93-86264-07-7)
(iii) Author of a book CALCULUS for B.Sc/B.A. Honours mathematics for Under Graduate students from K. K. Publication (UGC approved Publisher)
(iv) Author of a book NUMERICAL METHODS for B.Sc/B.A. Honours mathematics for Under Graduate students from NAROSA publication.
(i) “Stability of the flow of a dusty gas” co-authored with S.C.Agrawal and Jaimala in Global Journal of Mathematics and Mathematical Sciences in 2007
(ii) "Stability of dusty gas in presence of weak magnetic field” co-authored with S.C.Agrawal, in International Transactions in Mathematical Sciences and Computer in 2008
(iii) Rajeev, S.K.Pal and Arvind : Arithmetic of Pairing and Pairing Friendly Curves, International Journal of Trends In Computer Science, vol. 2(11), p 77-99, ISSN 7462-8452, 2013.
(iv)Rajeev, S.K.Pal and Arvind : Optimal Pairing & Design of Pairing Friendly Curves, INROADS (EBSCO), vol. 3(2), ISSN 2277-4904,p 313-318 2014
(v). Rajeev, S.K.Pal and Arvind : Design of Identity based Cryptographic Schemes from Pairing, International Journal of Mathematical Sciences and Applications (MathSciNet), vol. 5(1), ISSN: 22309888, Vol 5(1), 67-75, 2015.
(vi). Rajeev, S.K.Pal and Arvind : Efficient Signature Scheme from Self-pairing on Elliptic Curves, International Journal of Pure and Applied Mathematics (Scopus), vol. 105(2),p 187-200, ISSN 1311-8080, 2015.
(vii). Rajeev, S.K.Pal and Arvind : Pairing-Friendly elliptic curves of embedding degree 1 and applications to cryptography, Italian Journal of Pure and Applied Mathematics (Scopus), ISSN 2239-0227, Vol 38, p441-454, 2017.
(viii). Rajeev, S.K.Pal and Arvind : Elliptic curve based authenticated encryption scheme and its application for payment system, International Journal of Computing Science
and Mathematics (Scopus), Vol 9(1), p 90-101, ISSN 1752-5055, 2018.
(ix) Arvind and Ram Ratan :Bit-plane measures And its Applications in analysis of image ciphers, https://doi.org/10.1007/978-981-13-5758-9_24 : Journal CCIS, 968, 2019 Publisher Springer Indexing SCOPUS, MATH REVIEWS Impact Factor IF 0.49, SJR 0.19, H45
(x) Arvind and Ram Ratan :Bit-plane specific selective histogram equalization for image enhancement and representation, https://doi.org/10.1007/978-981-13-9181-1_58 Journal CCIS, 1035, 2019 Publisher Springer Indexing SCOPUS, MATH REVIEW Impact Factor IF 0.49, SJR 0.19, H45.
(xi) Ram Ratan and Arvind :Analysis of cryptographic communications Using bit- plane measures and fuzzy computing, https://doi.org/10.1007/978-981-15-0751-9_90 Journal AISC, 1053, 2020 Publisher Springer Indexing SCOPUS, DBLP Impact Factor IF 0.57, SJR 0.17, H25
(xii) Ram Ratan, B. l. jangid and Arvind :Bit-plane specific randomness testing for statistical analysis of ciphers, https://doi.org/10.1007/978-981-15-3290-0_16 Journal AISC, 1138, 2020 Publisher Springer Indexing SCOPUS, DBLP Impact Factor IF 0.57, SJR 0.17, H25
(xiii) Ram Ratan and Arvind : Cryptanalysis of an image cipher using multi-entropy measures and the counter measures, https://doi.org/10.14429/dsj.70.15467, Journal Defence Sci J, 70(4), 2020. Publisher DESIDOC, DRDO Indexing SCIE, SCOPUS Impact Factor IF 1.3, SJR 0.21, H 30.
(xiv) Arvind and Ram Ratan : Identifying Traffic of same keys in cryptographic communications using fuzzy decision and bit-‐plane measures, https://doi.org/10.1007/s13198‐019-00878-7, Journal Int J Syst Assur Eng Manag, 11(2), 2020 Publisher Springer Indexing SCOPUS, ESCI Impact Factor IF 1.02, SJR 0.35, H20
(xv) Ram Ratan and Arvind: Key Independent image deciphering using neighbourhood similarity characteristics and divide-‐ and-‐conquer attack, https://doi.org/10.1007/s13198-019-00878-7 ,Journal Rec Patents Eng, 14.1, 2020 Publisher Bentham Science Indexing SCOPUS, CSA Impact Factor IF 0.28, SJR 0.19, H17
(xvi) Arvind and Menakshi Agrawal: “sharing secret with public key cryptography” Published in Journal “HansShodhShikhar – Vigyaan-Vaanijaya-kala ka Shodh Sangam” 2020
(xvii) Ram Ratan and Arvind : Security Analysis of Bit-plane Level Image Encryption Schemes, https://doi.org/10.14429/dsj.71.15643, Journal Defence Sci J, 71(2), 2021. Publisher DESIDOC, DRDO Indexing SCIE, SCOPUS Impact Factor IF 1.3, SJR 0.21, H 30.
(xvii)Arvind and Meenakshi Agrawal “Safe Multi-signature Exchange Practices” published in the edited book “Application of Mathematical Tools in Social Sciences and Sciences” 2021.
(xviii) Ram Ratan and Arvind : Security Analysis of Bit-plane Level Image Encryption Schemes, https://doi.org/10.14429/dsj.71.15643, Journal Defence Sci J, 71(2), 2021. Publisher DESIDOC, DRDO Indexing SCIE, SCOPUS Impact Factor IF 1.3, SJR 0.21, H 30.
(xix)Arvind and Sarik Idrishi”: “ Elliptic Curve based Cryptographic Encryption Schemes” in Journal “HansShodhShikhar – Vigyaan-Vaanijaya-kala ka Shodh Sangam” Vol. 2, Issue 1, (2021), pp. 54-64.
(xx) M. Agarwal, A. Yadav & R. Ratan, On the characteristics of 1D-HD Chaotic Maps for Cryptographic Applications. NeuroQuantology 20(9), 6073-6081 (2022).ISSN1303-5150;https://www.researchgate.net/publication/364467554_On_the_characteristics_1D-HD_chaotic_maps_for_cryptographic_applications
(xxi) M. Agarwal, A. Yadav & R. Ratan, “Analysis of Bao-Zhou-Chen-Liu’s Hybrid Chaotic System,” In Proceedings of the SoCTA 2022, Soft Computing, vol. 627, 303-315, (2023) ISSN: 2194-5365 https://doi.org/10.1007/978-981-19-9858-4_26
(xxii) M. Agarwal, A. Yadav & R. Ratan, MARCS: A Novel Secure Hybrid Chaotic System. Lecture Notes in Networks and Systems 731(LNNS Springer 2024- Scopus )- ISSN : 2194-5365 https://doi.org/10.1007/978-981-99-4071-4_3
(xxiii) Ajay Dabral , S.K. Pal & Arvind Yadav: “Lattice basis reduction techniques” Multimedia Tools and Applications(SCIE & SCOPOUS) Feb 2024 ISSN: 1573-7721, https://doi.org/10.1007/s11042-023-17939-6
(xxiv) Akshay Ankush Yadav , Indivar Gupta , Harshdeep Singh , Arvind Yadav “New Classes of Permutation Trinomials of F2 (2m) ” in Finite field and applications. Volume 96, June 2024, ISSN-1071-5797 https://doi.org/10.1016/j.ffa.2024.102414 (SCIE & SCOPOUS)
(xxv) Ram Ratan , Arvind Yadav and Chaman Prakash Arya “Selection of best cipher system using fuzzy soft decision methodology” in Journal of Discrete Mathematical Sciences & Cryptography ISSN 0972-0529 (Print), ISSN 2169-0065 (Online) Vol. 27 (2024), No. 3, pp.1087–1103(SCOPOUS) https://doi.org/10.47974/JDMSC-1853
(xxvi) Ravi kumar srivastava and Arvind : “Generalization of fuzzy ideals of semirings and metatheorem” in Journal of Annals of Fuzzy Mathematics and Informatics Volume 27, No. 3, (June 2024), pp. 245–255 ISSN: 2093–9310 (print version) ISSN: 2287–6235 (electronic version) (MathSciNet) http://www.afmi.or.kr
(i) Completed an Orientation Course for Newly Recruited Scientist-B organized by Institute of Technology Management, Mussoorie from 27 June to 22 July 2005
(ii) Attended a Course on “System Analysis” under continuing educational program of DRDO held at Institute of System Studies and Analyses, Delhi from 12 September to 16 September 2005.
(iii) Attended a Course on “Cryptology” under continuing educational program of DRDO held at SAG, Delhi from 26 September to 7 October 2005
(iv) Participated in the course on “Computing Techniques in Cryptology”, under continuing educational program of DRDO held at Scientific Analysis Group on 10-14September 2007.
(v) Participated in a national workshop on “Pattern Recognition and Machine Learning for Defence Science Application”, organized by Scientific Analysis Group (DRDO) at Metcalfe House Complex, Delhi on 28-29August 2008.
(vi) Participated in the course on “Application of Pattern Recognition in Signal Processing”, under continuing educational program of DRDO held at Scientific Analysis Group on 17-21November 2008.
(vii) Attended a Course on “Information Security and Assurance” under continuing educational program of DRDO held at SAG, Delhi from 9-13November 2009.
(viii)Attended a Course on “Building Professional Competence of Young Scientists in R&D Organization” under continuing educational program of DRDO held at Defence Institute of Psychological Research, Delhi from 16-20 August 2010
(ix) Participated in the UGC-Sponsored Orientation programme OR-69 on Professional development in Higher education, organized by CPDHE, University of Delhi on 13 December 2011-9 January 2012.
(x) Participated in the International Conference “The Legacy of Srinivasa Ramanujan”, organized by the University of Delhi on 17-22December 2012
(xi) Participated in the three weeks UGC-Sponsored Refresher Course in “Mathematical Sciences”, organized by CPDHE (supported by UGC-ASC), University of Delhi from 14 December 2013 to 4 January 2014.
(xii) Participated and successfully completed the three weeks Refresher Course in “Mathematical Sciences”, organized by CPDHE (supported by UGC-HRDC), University of Delhi from 26 November to 16 December 2015.
(xiii) Participated in the UGC-Sponsored Workshop on “Academic and Creative Writing”, organized by CPDHE (supported by UGC-HRDC), University of Delhi on 20-26 September 2016.
(xiv) Participated in the “Teacher’s Enrichment Workshop on Differential Equation, Mathematical Modelling & Analysis”, organized by National Centre for Mathematics, held at Deshbandhu College, New Delhi on 24-29July 2018.
(xv) Participated in a Workshop on “How to get Published Research Papers in Right Journals”, on 27October 2018 organized by Great India Educational Charitable Trust at Hansraj College, University of Delhi on the occasion of 87th bith anniversary of hon’ble president of India Bharat Ratna Lt. Dr. APJ Abdul Kalam.
(xvi) Organized a one-week faculty development programme on “Software Packages on Mathematical Sciences” at Mahatma Hansraj Faculty Development Centre (supported by MHRD) from 14 -19November 2018.
(xvii) Participated in two-week faculty development programme on “Challenges before the academia era of Gadgets, E-Communications and A.I(interdisciplinary)”, organized by Mahatma Hansraj Faculty Development Centre (supported by MHRD) from 15 -28December 2018.
(xviii) Organized a one-day workshop on “Prevention of Sexual Harassment at Workplace” in Hansraj College, University of Delhi.
(xix) Worked as Reviewer and Organizing team member in Ist International conference on Networks and Cryptology , organized by School of computers and Systems sciences, JNU , New Delhi on 14-16 June 2019.
(xx) Participated in Ist International conference on Networks and Cryptology, organized by School of computers and Systems sciences, JNU , New Delhi on 14-16 June 2019.
(xxi) Participated as a Judge for an event in Annual festival Expression 2019 at Army public School Shanker Vihar on 19 July 2019.
(xxii) Participated in one week faculty development program “ ICT in Education and Cyber Security ” organized by mahatma Hansraj Faculty Development Centre (supported by MHRD)from 10 july-16 july 2019
(xxiii) Coordinator of one week faculty development program “ Understanding the connection of mathematics with the world around us : An application based learning ” organized by mahatma Hansraj Faculty Development Centre from 20 june-26 june 2019.
(xxiv) Coordinator of one month Faculty Induction program organized by mahatma Hansraj Faculty Development Centre(supported by MHRD) from 17 june-16 july 2019.
(xxv) Attended a one day webinar on “ Teachers and Technology : The Road Ahead”organized by mahatma Hansraj Faculty Development Centre(supported by MHRD) on 25/04/2020
(xxvi) Attended a three days webinar on “ Stress Management ”organized by Mahatma Hansraj Faculty Development Centre(supported by MHRD) from 1st may - 3rd May 2020 .
(xxvii) Attended a three days webinar on “ Covid 19: Challenges and Road Ahead ”organized by Mahatma Hansraj Faculty Development Centre(supported by MHRD) from 7th may – 9th May 2020 .
(xxviii) Attended a one day webinar “Global Panel Discussion on Education 4.0 : The Revolution ”organized by Shri Vishwakarma Skill University on 11/05/2020 .
(xxviii) Attended a two days webinar on “ Myths and Truths of Fitness and corrective Exercises for Various Body Deformities ”organized by Mahatma Hansraj Faculty Development Centre(supported by MHRD) from 12th may -13th May 2020 .
(xxix) Coordinator of one week faculty development program “ Applications of Algebra and Number theory in Network security” organized by mahatma Hansraj Faculty Development Centre from 22Dec -29 Dec 2020.
(xxx) Coordinator of two week faculty development program “Usage of ICT in Education : Challenges and Opportunities During COVID-19” organized by mahatma Hansraj Faculty Development Centre in Collaboration with CCS University Merrut from 2July -15July 2021.
(xxxi) Convener of an International Conference “RECENT TRENDS IN MATHEMATICS” organized by Dept. of Mathematics, Hansraj College, University Of Delhi in Collaboration with Mahatma Hansraj Faculty Development Centre from 22/12/21 to 24/12/21.
(xxxii) Attended a refresher course of NCC at Officers Training Academy , Kamptee, Nagpur from 19th July -27th Aug 2022 and got Certificate of Appreciation.
(xxxiii) Attended a Refresher Course “NEP 2020 Orientation & Sensitization Programme” (03rd June – 13th June, 2024) under Malaviya Mission Teacher Training Programme (MM-TTP) of University Grants Commission(UGC) organised by Mahatma Hansraj Malaviya Mission Teacher Training Centre (MH-MMTTC), Hansraj College, University of Delhi
Worked as OBSERVER in UGC NET EXAM organized by National Testing Agency on 5th and 11th Nov 2020.
Invited as an External Expert for recruitment of JRFs conducted by SAG(DRDO) on 2August 2018 at Bhagwantham Auditorium, Delhi.
Chair a session as Judge for an event in Annual festival Expression 2019 at Army public School Shanker Vihar Delhi on 19 July 2019
Chair a session in National conference on “Modern Mathematics and its Applications” organized by dept of Mathematics , Banaras Hindu Universitry from 29-30 Jan 2022.