Nonlinear Partial Differential Equations, Applied Mathematics, Cryptography, Symbolic Software: Mathematica/Matlab/Maple

• Ph.D. (Pursuing) , 2022 , Department of Mathematics, University of Delhi, Delhi
• Certificate Course (Computer Science) , 2021 , Harvard University, US
• M.Tech. (Computer Applications) , 2009 , IIT Delhi, India
• M.Sc. (Mathematics) , 2006 , Dept. of Mathematics, CCS Uni. Meerut, UP, India
• GATE , 2018 , Computer Science (MHRD, India)
• NET-JRF , 2007 , Mathematics (CSIR, India)
• GATE , 2006 , Mathematics (MHRD, India)

1. 2013-Present : Assist. Prof. (Adhoc) Hansraj College, DU.
2. 2011-2013 : Assist. Prof. (Adhoc) Keshav Mahavidyalaya, DU.
3. 2009-2011 : Assist. Prof. (Adhoc) Kalindi College, DU.

C++ Programming, Numerical Methods, Cryptography, Real Analysis, Calculus, Abstract Algebra, Linear Algebra, Modern Algebra, Differential Equations, and Computer Algebra Systems-Mathematica/Matlab/Maxima.

1. As Principal Investigator in the Research Project: "A study of analytical solutions and dynamical behavior for nonlinear evolution equations using efficient methods.", 2022(Ongoing), RDC, Hansraj College, DU, Delhi.
2. As Summer Internship Supervisor of Arju Agarwal (Amity University, Kolkata): "Working with Computer Algebra System through Mathematica," w.e.f May 27- July 20, 2019.  
3. As Internship Supervisor of Pranav Jain (IIIT Okhla, Delhi): “Revenue Generation Strategy through Selfish Mining focusing Multiple Pools of Honest Miners: Revisiting Eyal and Sirer (2014) Selfish Mining Strategy”, 2019.
4. As Principal Investigator in the Innovation Project: "Study and Security Analysis of Smart Cards", Sept 2015 (Registered), Oct 2016 (Submitted), University of Delhi, Delhi.

1. Member, Collaboration & Community, Committee of RDC, Hansraj College, 2022-2023. 
2. Member, ICT Committee, Hansraj College, 2021-2022.
3. Member, Portal Committee, Hansraj College, 2015-2016.
4. Convenor, Vision Society (Hans Vision, Hansraj College), 2014-2015.
5. Convenor, Pixels Society, Hansraj College, 2014-2015.
6. Stall Guide, Antardhvani-Hansraj College, 2015.

Carried out research for the fulfillment of degree M.Tech in Computer Applications, IIT Delhi on the topic "Gaussian Integer Method of Index Calculus for Discrete Logarithm Problem in Prime Field", 2009.

1. Research Project: "A study of analytical solutions and dynamical behavior for nonlinear evolution equations using efficient methods.", 2022(Ongoing), RDC, Hansraj College, DU, Delhi.
2. Innovation Project: "Study and Security Analysis of Smart Cards", Sept 2015 (Registered), Oct 2016 (Submitted), University of Delhi, Delhi.

The practical manual uses Mathematica for Differential Equations for undergraduate students in the completion process. 

The book titled "Understanding Calculus with Mathematica" is in the process of completion.

1. 2024 Bilinearization and new center-controlled N-rogue solutions to a (3+1)-dimensional generalized KdV-type equation in plasmas via direct symbolic approach, Nonlinear Dynamics, Q1, IF:5.6 https://doi.org/10.1007/s11071-024-09626-4

2. 2023 A novel analysis of Cole–Hopf transformations in different dimensions, solitons, and rogue waves for a (2 + 1)-dimensional shallow water wave equation of ion-acoustic waves in plasmas, 
   Physics of Fluids, Q1, IF:4.6, 35:127128, https://doi.org/10.1063/5.0185772 

3. 2023 Higher-order rogue waves and dispersive solitons of a novel P-type (3+1)-D evolution equation in soliton theory and nonlinear waves, Nonlinear Dynamics, Q1, IF:5.6, SCIE, 111:20275–20288, https://doi.org/10.1007/s11071-023-08938-1

4. 2023 Newly formed center-controlled rogue wave and lump solutions of a generalized (3+1)-dimensional KdV-BBM equation via symbolic computation approach, Physica Scripta, Q2, IF: 2.9, SCIE, 98(8):085237, https://doi.org/10.1088/1402-4896/ace862

5. 2023 A direct symbolic computation of center-controlled rogue waves to a new Painlevé-integrable (3+1)-D generalized nonlinear evolution equation in plasmas, Nonlinear Dynamics, Q1, IF: 5.7, SCIE, 111:16395–16405, https://doi.org/10.1007/s11071-023-08683-5

6. 2023 Evolutionary dynamics of solitary wave profiles and abundant analytical solutions to a (3+1)-dimensional burgers system in ocean physics and hydrodynamics, Journal of Ocean Engineering and Science, Q1, IF: 4.803, SCI, DOI: https://doi.org/10.1016/j.joes.2021.11.002

7. 2022 A generalized nonlinear fifth-order KdV-type equation with multiple soliton solutions: Painlev ́e analysis and Hirota Bilinear technique, Physica Scripta, Q2, IF: 3.081, SCIE, 97(12):125214, https://doi.org/10.1088/1402-4896/aca2fa

8. 2022 Application of Hirota’s Direct Method to Nonlinear Partial Differential Equations: Bilinear Form and Soliton Solutions, Hans Shodh Sudha, 3(2):31-38, ISSN:2582-9777, https://www.hansshodhsudha.com/volume3-issue2/manuscript%203.pdf

9. 2022 Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics, Nonlinear Dynamics, Q1, IF: 5.741, SCIE. 110:693-704, https://doi.org/10.1007/s11071-022-07647-5

10. 2022 Generalized fifth-order nonlinear evolution equation for the Sawada-Kotera, Lax, and Caudrey-Dodd-Gibbon equations in plasma physics: Painleve analysis and multi-soliton solutions, Physica Scripta, Q2, IF: 3.081, SCI, 97(3):035201. https://doi.org/10.1088/1402-4896/ac4f9d.

11. 2022 A novel and efficient method for obtaining Hirota's bilinear form for the nonlinear evolution equation in (n+1) dimensions, Partial Differential Equations in Applied Mathematics, SCOPUS, 5:100274. https://doi.org/10.1016/j.padiff.2022.100274

12. 2021 A study of multi-soliton solutions, breather, lumps, and their interactions for Kadomtsev-Petviashvili equation with variable time coefficient using Hirota method, Physica Scripta, Q2, IF: 3.081, SCI, 96(12):125255. https://doi.org/10.1088/1402-4896/ac3879

13. 2019 Revenue Generation Strategy through Selfish Mining focusing Multiple Pools of Honest Miners: Revisiting Eyal and Sirer (2014) Selfish Mining Strategy. https://doi.org/10.13140/RG.2.2.31415.85928

- "International Conference on Advances in Pure and Applied Mathematics (ICAPAM-2024)", Delhi, India, February 08-10, 2024.

- "6th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2023)", DUBAI, UAE, December 21-22, 2023.

- "4th International Conference on Recent Developments in Theory, Computation & Application of Differential Equation", SAU, Delhi, January 21-23, 2019.

Organized: Workshop/Conferences/FDP/Talks

1. Seminar on “Annual Academic Meet: Shri Shanti Narayan Mathematics Conclave-2021” of Department of Mathematics, Hansraj College, on March 7-8, 2021.
2. Workshop on “How to plan projects: Investigatory approach to learning and hands-on experience with 3M’s-Maple, Mathematica and Matlab” in Department of Mathematics, Hansraj College, University of Delhi, on February 9, 2021.
3. Talk on “Educational and Political Challenges before Young India: Dr. Ambedkar’s Insight” under the aegis of Ambedkar Study Circle in Hansraj College, University of Delhi, on February 18, 2019.
4. FDP on “Software Packages for Mathematical Sciences” in the Department of Mathematics, Hansraj College, University of Delhi, on November 14-19, 2018.
5. FDP On “Mathematica: A Tool for Computational Analysis” in the Department of Mathematics, Hansraj College, University of Delhi, on March 10-11, 2018

-  On "Numerical Optimization: techniques and applications" in National Workshop on Numerical Optimization and its Future Perspectives at DDU College, University of Delhi, on March 12 – 16, 2024

- On “Prompting AI tools and Writing”, in One-week workshop: ICT tools and Artificial Intelligence, organized by Malviya Mission Center, UGC, Ministry of Education, Govt. of India, January 8-12, 2024.

-  On "Using Mathematica as a Scientific tool in Teaching and Research", for FDP: Interdisciplinary Learning in Department of Applied Sciences, Maharaja Agrasen Institute of Technology, Rohini, Delhi on August 9, 2023.

- On “Latex” in a two-day workshop, organized by Operation Research Society of India (ORSI): Meerut chapter & Vardhman College, Bijnor, UP on 25-26th February 2023.

-  On “Coding in Mathematics” in 3 days workshop organized by DIET, Keshavpuram, Delhi on 3-6 October 2022.

- "Mathematica - A System For Modern Technical Computing", Mahatma Hansraj Faculty Development Centre, Hansraj College, 21st – 26th August 2020.

- “Managing Online Classes: Teaching Learning Tools and e-Content Generation” for FDP organized by Bharti College, DU, on August 17-22, 2020.

- "How to use Microsoft Teams for online teaching and learning," Bharti College, August 19, 2020.

- "Microsoft Teams"  for the faculty members of Hansraj College, organized by MHFDC, August 9, 2020.

- "Application of CAS - Mathematica," MMH College, Ghaziabad, September 29, 2018.

- “Digital Literacy: An Introduction to ICT Skills” in Faculty Development Programme, organized by the Department of Physics & Electronics, Hansraj College, University of Delhi on September 15-17, 2017.

- Resource Person, TGT Teachers Training Program, Bal Bharti Public School, Pitampura, May 2017.

- "Latex and Website Designing," National Workshop, Shaheed Bhagat Singh College, Delhi University, August 11-12, 2016.
- "Prime Numbers and Their Applications," Orientation Programme, CIC Delhi University, 15th July 2013.
- "How to do Blogging?", www.how2doblogging.com, Learning Blog, Dept. of Mathematics, PGDAV College, DU, 2015.
- "Blog Designing - Basics to Advanced," Dept. of Mathematics, Hansraj College, DU. 2015.
- Guest faculty, Dayal Singh College, DU, 2011-12.
- Guest faculty, PGDAV College, DU, 2011-12.
- Guest faculty, Bhaskaracharya College of Applied Sciences, DU, 2012-13.

- National Workshop on Optimization Techniques and Their Applications (NWOTA-2013), MNNIT Allahabad, NBHM, DRDO, CSIR, and INSA, June 05-11, 2013.
- Workshop on Foundation Course (Building Mathematical Ability), Keshav Mahavidyalaya, UGC-ASC, June 24-26, 2013.
- National Workshop on Advances in Mathematics, Hansraj College, Delhi Uni., NBHM, March 7-8, 2014.
- Workshop on Latex, Dept. of Mathematics, Hansraj College, 9th April 2016.

Art & Culture

1. Awarded an honor for realistic story writing “Zid ki Udaan” by Hindi Academy, Government of Delhi, published in Indraprasth Bharti, December 2016.
2. Enacted in a play-themed “Surgery” in “Chekhov ki Duniya” at Hansraj College, March 24, 2017. https://www.youtube.com/watch?v=nD3HO6ubHQM
3. Play instruments such as Keyboard, Guitar, Flute, Mouth Organ, and Cajon.
4. Write Hindi/English Articles, Stories.