Dr. Arpan Mukherjee

Contact Information:

Postal address: Shenzhen MSU-BIT University, 1 International University Park Road, Longgang District, 518172 Shenzhen, Guangdong Province, P.R. China.

Office: Room 306, Main Building.

Email: 6420240101@smbu.edu.cn

Educational Background：

·2021.10 – 2023.11, Doctor of Philosophy (Ph.D), Johannes Kepler University Linz, Austria.

Industrial Mathematics.

Thesis Title: Mathematical Analysis of Therapy Modalities using Heat Generation or Acoustic Cavitation.

Supervisors: Univ.-Doz. Dr. Mourad Sini and Prof. Dr. Haibing Wang.

·2018.08 – 2020.05, Master of Technology (M.Tech), IIT Madras, India & KIT, Germany.

Industrial Mathematics and Scientific Computing.

Thesis title: Approximate-Newton Approach for the Intrusive Polynomial Moment Method.

Supervisors: Prof. Dr. Sundar S and Prof. Dr Martin Frank

·2015.08 – 2017.05, Master of Science (M.Sc), Pondicherry University, India.

Mathematics.

·2011.07 – 2015.06, Bachelor of Science (B.Sc), Vivekananda Mahavidyalaya, University of Burdwan, India.

Mathematics.

Working Experience：

·2024.09 – Present, Lecturer, Joint Research Centre on Computational Mathematics and Control, Shenzhen MSU-BIT University.

·2023.12 – 2024.07, PostDoc. Research Scientist, Johann Radon Institute (RICAM), Austrian Academy of Sciences (ÖAW), Austria.

·2020.08 – 2023.11, Doc. Research Scientist, Johann Radon Institute (RICAM), Austrian Academy of Sciences (ÖAW), Austria.                                          

·2019.09 – 2020.03, Visiting Researcher, Department of Mathematics and Steinbuch Centre for Computing (SCC), Karlsruhe Institute of Technology (KIT), Germany.

Research Publications:

[1] A. Mukherjee and M. Sini, Heat Generation Using Lorentzian Nanoparticles: Estimation via Time-Domain Techniques, SIAM Journal on Multiscale Modeling and Simulation, vol. 21, no. 2, pp. 542–597, 2023.

[2] A. Mukherjee and M. Sini, “Acoustic Cavitation using Resonating Micro-Bubbles. Analysis in the Time-Domain, SIAM Journal on Mathematical Analysis, vol. 55, no. 5, pp. 5575–5616, 2023.

[3] A. Mukherjee and M. Sini, Heat Generation Using Lorentzian Nanoparticles. The Full Maxwell System, SIAM Journal on Applied Mathematics, vol. 84, no. 1, pp. 285–315, 2024.

[4] A. Mukherjee and M. Sini, Time-Dependent Acoustic Waves Generated by Multiple Resonant Bubbles: Application to Acoustic Cavitation, 2024. Accepted for publication in Journal of Evolution Equations. arXiv:2307.12319 [math.AP].

[5] A. Mukherjee and M. Sini, Dispersive Effective Model in the Time-Domain for Acoustic Waves Propagating in Bubbly Media, 2024. Submitted. arXiv: 2408.01158

[math.AP].

Research interests：

       1. Analysis of Partial Differential Equations and Applications to Therapy Modalities.

       2. Mathematical Aspects of Materials Science. 3. Wave Propagation 4. Uncertainty Quantification.

Fellowships & Awards:

[1] 2020: Awarded Doctoral Fellowship based on the project FWF-P32660: “Electromagnetism with Extreme Materials: Modeling, Analysis and Applications”, Austrian Science Fund (FWF), Austria.

[2] 2019-2020: Awarded a Scholarship "Combined Study and Practice Stays for Engineers from Developing Countries (KOSPIE) with Indian IITs", Deutscher Akademischer Austauschdienst - DAAD, Germany.

[3] 2018-2019: Awarded a Fellowship Half Time Teaching Assistant (HTTA), IIT Madras & Ministry of Human Resource Development (MHRD), Chennai, India.

[4] 2018: Awarded DST-INSPIRE Fellowship (Junior Research Fellowship), Govt. of India, Ministry of Science and Technology, Dept. of Science and Technology (DST), India. (Not availed)

[5] 2016-2017: Awarded a Merit Scholarship for obtaining good academic performance in MSc, Pondicherry

University (A Central University), Pondicherry, India.

[6] 2011-2016: Awarded a Scholarship for Higher Education – Innovation in Science Pursuit for Inspired Research (INSPIRE), Govt. of India, Ministry of Science and Technology, Dept. of Science and Technology (DST), India.

Certification:

[1] 2018: Qualified in Graduate Aptitude Test in Engineering (GATE), IITs and IISc, All India Rank (AIR)

469, GATE Score 464.

[2] 2015: Qualified in Joint Admission Test ( JAM), IITs and IISc, India.

Presentations (Invited, conference or Seminar):

[1] 9th European Congress of Mathematics (ECM 2024), July 15 - 19, 2024, European Mathematical Society, Spain.

[2] 8th International Conference on Applied Mathematics (ICAM 2024), May 28- June 1, 2024, City University of Hong-Kong, Hong-Kong SAR.

[3] Department of Mathematics and Statistics Seminar, "Mathematical Analysis of Therapy Modalities using Acoustic Cavitation, January 18, 2024, IIT Tirupati, India.

[4] 17th International Workshop on Optimization and Inverse Problems in Electromagnetism (OIPE 2023), September, 17 − 20, 2023. TU Graz, Austria.

[5] 11th Applied Inverse Problems Conference 2023 (AIP 2023), September 4-8, 2023, University of Göttingen, Germany.

[6] 3rd Alps-Adriatic Inverse Problems Workshop 2023 (AAIP 2023), July 5-7, 2023, Alpen Adria Universitaet Klagenfurt, Austria.

[7] International Conference on Analysis, Inverse Problems, and Applications, July 18-21, 2022, IIT Madras, India. (Paper accepted for Presentation).

[8] "Stability of miscible displacements in Porous Media: Rectilinear flow", 2019, IIT Madras, India.

[9] "Comparative Study of Various Image Noise Reduction Techniques and A Small Survey on PSNR and MSE", 2018, IIT Madras, India.

[10] "A Small Survey about Traffic Flow Problem", 2018, IIT Madras, India.

Conference Participation:

[1] Special Semester on Tomography Across the Scales, Oct 3 - Dec 2, 2022, RICAM, Austrian Academy of Sciences, Austria.

[2] Austrian Numerical Analysis Day, May 4-6, 2022, RICAM, Austrian Academy of Sciences and JKU Linz, Austria.

[3] Special Semester on Tomography Across the Scales, October 11-15, 2021, RICAM, Austrian Academy of Sciences, Austria.

[4] MTTS (Mathematical Training and Talent Search) Program, IIT Bhubaneswar, School of Basic Sciences, funded by NBHM (National Board of Higher Mathematics), India.