Cryptography,Cryptanalysis, Information Security,  Algebra , Number Theory, Fluid Dynamics

• M.sc , 2001 , Institute of Advanced Studies , Department of Mathematics , CCS University Meerut
• M.Phil , 2002 , Institute of Advanced Studies , Department of Mathematics , CCS University Meerut
• Ph.D , 2008 , Institute of Advanced Studies , Department of Mathematics , CCS University Meerut

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

1. Ph.d degree Awarded- 3,  In Continuation -5
2. M.phil degree Awarded- 2,  

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.

1. Study and Security Analysis of Smart Cards.( Cost 5 Lakhs  2015-16)
2. Understanding the Physical and Geometrical behavior of Differential equations and applicability to the real world.(Cost 3.5 Lakhs 2013-15)

       (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)

1. Deleivered  two lectures on “Algebra in Cryptology” during Special Training Programme on Cryptology and Information Security on 4September 2017 held at SAG, Delhi.
2. Delivered a live TV talk of 30 mins on DD Gyan Darshan on 05/02/2019 on the topic “Cryptography and its Application in Real world”.
3. Delievered a talk on “Promotion Rules and Evaluation” during one-month Faculty Induction Programme organized by Mahatma Hansraj Faculty Development Centre (supported by MHRD) on 25June 2019.
4. Delivered a live radio talk of one hour on GYAN VANI (FM 105.6) on 13/08/2019  on the topic "Utility of Numerical and statistical computing" .
5. Delivered a live TV talk of 30 mins on DD Gyan Darshan on 21/02/2020 on the topic “Discrete Mathematics  and its Applications”.
6. Delivered a talk on Leadership Skills in a Workshop organize by Ramjas College University of Delhi on March 1, 2024

(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.

1. Worked as reviewer in Defense Science Journal , published by Desidoc DRDO
2. Worked as OBSERVER in IGNOU Examination in 2018,2019.

3. Worked as OBSERVER in UGC NET EXAM organized by National Testing Agency on 5th and 11th Nov 2020.

4. Invited as an External Expert for recruitment of JRFs conducted by SAG(DRDO) on 2August 2018 at Bhagwantham Auditorium, Delhi.

5. Chair a session as Judge for an event in Annual festival  Expression 2019 at Army public School Shanker Vihar Delhi  on 19 July 2019

6. 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.