Sanjay Kumar
Mohanty

Research Assistant Professor, Department of Mathematics
Vellore Institute of Technology (VIT), Vellore, India

sanjaymath@gmail.com · sanjaykumar.mohanty@vit.ac.in
+91-9938942839
Download CV_Sanjay_Kumar_Mohanty (PDF)
Sanjay Kumar Mohanty
PhD · IIT Kharagpur 2014 CSIR-UGC JRF-NET 2009 GATE · AIR 58
Research Interests
Financial Mathematics
Statistical Arbitrage, Quantum Finance
Ocean Engineering
Time-dependent wave motion, Spectral Methods, Green's function Technique
Academic Positions
July 2026-
Research Assistant Professor
School of Advanced Sciences, VIT Vellore
Nov 2018 – June 2026
Assistant Professor
School of Advanced Sciences, VIT Vellore
May–Jun 2024
Visiting Researcher
University of Newcastle, Australia
Apr 2015 – Nov 2018
Assistant Professor
BIT International Centre, Muscat, Oman
Aug 2014
PhD Awarded
IIT Kharagpur
Editorial Roles
Jan 2026 – date
Editorial Board Member
International Journal of Mathematics and Mathematical Sciences, Wiley
Jul 2025 – date
Editorial Board Member
Scientific Reports, Nature Group
Qualifications
MSc Mathematics
Utkal University
BSc Mathematics
N C College, Utkal University
Peer Review Activity

Active reviewer for Journal of Fluid Mechanics, IEEE Transactions on Instrumentation and Measurement, IEEE Transactions on Artificial Intelligence, Wave Motion, Physics of Fluids, Ocean Engineering, Applied Ocean Research, Applied Mathematical Modelling, and Information Sciences, among others.

Research Funding

Sponsored Projects

Externally funded research grants and collaborative projects

Active & Completed Grants
Time-dependent wave packet effect on very large floating structures
Principal Investigator SERB, DST-CRG ₹21,08,803 Feb 2022 – May 2025
Establishment of DST-FIST Funded Advanced Computing Research Lab
Co-Principal Investigator DST-FIST ₹2,71,00,000 Mar 2024 – May 2029
Integration of Breakwater and Wave Energy Devices in the Presence of Current
Principal Investigator VIT International Grant ₹4,00,000 March 2024 – February 2026
Analytical, Numerical and Experimental study of Glioblastoma
Principal Investigator SEED Grant, VIT Vellore ₹2,50,000 Apr 2022 – May 2024
Intellectual Property

Patents

Filed and published patent applications

Published Patents
System for Automatically Managing and Optimising Return of an Asset Portfolio
Sanjay Kumar Mohanty, Gouranga Mallick, Pradeep Kumar Das
App No: 202441033839 · Published 03-May-2024
System and Method for Detecting Acute Lymphoblastic Leukaemia (ALL) and Non-Acute Lymphoblastic (Non-ALL) in Real-Time
Pradeep Kumar Das, Sanjay Kumar Mohanty, Chiranjivi Bharadwaj
App No: 202441037525 · Published 13-May-2024
A hybrid quantum classical framework and a method for forecasting stock prices
Sanjay Kumar Mohanty, Bahadur Yadav
App No: 202541114225 · Published 5th December-2025
Research Group

Current Research Scholars

PhD students under supervision

PhD Students
1
Dr. Muniyappan M
Time and Frequency domain problems in the presence of current
Assistant Professor VIT Bhopal
2
Dr. Rajesh Ranjan Dora
Wave Scattering and Trapping in the presence of current
Research Associate IIT Madras
3
Dr. Salman Mohammed
Mathematical Modeling and Deep Learning Paradigm on Brain Tumor Prognosis and Diagnosis
Assistant Professor Dayanand Sagar University Bangalore
4
Mr. Gulzar Ali
Mathematical Methods in Photonic Space and Time Crystal · Co-guide: Dr. Chittaranjan Nayak
Submitted August 2026
5
Mr. Bahadur Yadav
Statistical Arbitrage and Deep learning for Portfolio Management
Ongoing
6
Ms. Riya Gupta
XAI for portfolio management
Ongoing
Research Network

Collaborators

International and national research collaborators

Research Collaborators
Prof. Mike Meylan
University of Newcastle, Australia
Prof. D. Q. Lu
Shanghai University
Prof. S R Manam
IIT Madras
Prof. Swaroop Nandan Bora
IIT Guwahati
Dr. S C Martha
IIT Roopar
Dr. Smruti Ranjan Mohapatra
VSSUT Burla
Dr. Pradeep Kumar Das
NIT Warangal
Online Presence

Research Profiles

Find my work on these academic platforms

Academic Profile Links
Google Scholar
scholar.google.com
ResearchGate
researchgate.net/profile/Sanjay-Mohanty-4
ORCID
0000-0001-7095-2806
Scopus
Author ID: 57207622468
Gallery

Photos

Sydney Opera House
Sydney Opera House
At Sydney Opera House
At the Opera House, Sydney
Newcastle Beach
Newcastle Beach, Australia
Sydney Harbour from boat
Sydney Harbour cruise
Portrait with hills backdrop
At Salalah, Oman
At BIT international Center Muscat
Singapore Changi Airport
Singapore Changi Airport
Singapore Changi Airport
Mussoorie viewpoint
Mussoorie viewpoint
Mussoorie hillside view
Mussoorie hillside
Hillside terrace
Hillside terrace
Universal Studios Japan
Cherry blossoms in the rain, Osaka, Japan
Osaka Aquarium
Cherry blossoms in the rain, Osaka, Japan
Osaka skyline at dusk
Universal Studio, Japan
Cherry blossoms with umbrella
Universal Studio, Japan
Osaka Castle
Osaka Aquarium
With two legends of Mathematics Prof. S Pattanayak and Prof G Das at Puri sea beach
With two legends of Mathematics at Puri beach
Publications

Water Wave Mechanics

Selected publications in water wave theory and coastal engineering

Selected Publications (18)
Analysis of a Moored Floating Piezoelectric WEC in the Presence of a Wall. European Journal of Mechanics B/Fluids, Vol. 116, Article 204390 (2026). Elsevier.
Dora, R. R.; Meylan, M.; Mohanty, S. K.*
Bragg Resonance in a Two-Layer Fluid with the Inclusion of Current and Tension at Both Surface and Interface. Archive of Applied Mechanics, Vol. 95, p. 26 (2025). Springer Nature.
Aggarwal, A.; Mohanty, S. K.*; Martha, S. C.
Bragg scattering by an irregular, versatile seabed in the presence of current. Journal of Fluids and Structures, Vol. 125, p. 104059 (2024). Elsevier.
Khuntia, S.; Mohapatra, S.; Mohanty, S. K.
Wave trapping by porous breakwater near a wall under the influence of ocean current. Ocean Engineering, Vol. 303, p. 117820 (2024). Elsevier.
Dora, R. R.; Mondal, R.; Mohanty, S. K.
Oblique wave scattering by porous structures in the presence of current. Engineering Analysis with Boundary Elements, Vol. 167, p. 105885 (2024). Elsevier.
Dora, R. R.; Trivedi, K.; Mohanty, S. K.; Koley, S.
Bragg resonance due to an undulated elastic bottom in the presence of current. The European Physical Journal Special Topics, pp. 1–10 (2024). Springer.
Dora, R. R.; Mohanty, S. K.
Wave resonances and the time-dependent capillary gravity wave motion. Wave Motion, Vol. 131, p. 103412 (2024). Elsevier.
Dora, R. R.; Manam, S. R.; Mohanty, S. K.
Wave resonances in the presence of current and the frequency and time-domain interconnection. Wave Motion, Vol. 119, p. 103128 (2023). Elsevier.
Muniyappan, M.; Dora, R. R.; Mohanty, S. K.
Wave resonances and hydroelastic wave motion. Proceedings of the Royal Society A, Vol. 479, No. 2272, p. 20230105 (2023). The Royal Society.
Dora, R.; Saha, S.; Lu, D. Q.; Mohanty, S. K.
The role of blocking dynamics and current on wave scattering due to finite floating elastic plate. Ocean Engineering, Vol. 282, p. 114985 (2023). Elsevier.
Muniyappan, M.; Mohanty, S. K.
Flexural gravity wave resonance in the presence of current. Journal of Waterway, Port, Coastal, and Ocean Engineering, Vol. 148, No. 3, p. 04022003 (2022). ASCE.
Saha, S.; Mohanty, S. K.; Bora, S. N.
Time-dependent wave motion with undulated bottom. Acta Mechanica, 232(1), 283–303 (2021). Springer.
Mohanty, S. K.
Time dependent wave motion in a permeable bed. Meccanica, 55(7), 1481–1497 (2020). Springer.
Mohanty, S. K.; Sidharth, M.
Transient flexural gravity waves in two-layer fluid. Meccanica, 54(3), 491–504 (2019). Springer.
Mohanty, S. K.
Transient axi-symmetric disturbances in two-layer fluid. International Journal of Applied and Computational Mathematics, 5(5), Article 125 (2019). Springer.
Mohanty, S. K.
Time-dependent capillary-gravity waves in the presence of current. Acta Mechanica, 226(2), 311–330 (2015). Springer.
Mohanty, S. K.; Bhattacharjee, J.; Sahoo, T.
Time dependent flexural gravity waves in the presence of current. Journal of Fluids and Structures, 45, 28–49 (2014). Elsevier.
Mohanty, S. K.; Mondal, R.; Sahoo, T.
Expansion formulae for wave structure interaction problems in three dimensions. IMA Journal of Applied Mathematics, 78(2), 181–205 (2013). Oxford University Press.
Mondal, R.; Mohanty, S. K.; Sahoo, T.

See the full record on Google Scholar, or the Publications Yearwise page, or the full CV.

Publications

Mathematical Biology

Selected publications in mathematical biology and biomedical modelling

Selected Publications (2)
Data-Driven Neural Differential Equation Model and Stochastic Dynamics for Glioma Prediction. IEEE Access, Vol. 13, pp. 145211–145222 (2025). IEEE.
Salman, M.; Mohanty, S. K.*
A Systematic Review on Recent Advancements in Deep Learning and Mathematical Modelling for Efficient Detection of Glioblastoma. IEEE Transactions on Instrumentation and Measurement, Vol. 73, p. 2533134 (2024). IEEE.
Salman, M.; Das, P. K.; Mohanty, S. K.*

See the full record on Google Scholar, or the full CV.

Publications

Photonics

Selected publications in photonics and optical systems

Selected Publications (4)
Polarization-Sensitive Absorption in All-Hyperbolic-Metamaterial Photonic Crystal Heterostructures Containing Graphene Layers. Physics Letters A, Article 132002 (2026). Elsevier.
Gulzar, A. J.; Mohanty, S. K.; Nayak, C.; Mohankumar, N.; Swain, S. K.
Magnetically Tunable Angle-Insensitive Multimode Absorption in Graphene Embedded Topological Photonic Heterostructures. Physica B: Condensed Matter, Vol. 707, Article 417157 (2025). Elsevier.
Ali, G.; Mohanty, S. K.*; Nayak, C.
Dual-Band Angle-Independent Terahertz Absorption via Coupled Modes in Hyperbolic-Metamaterial-Based Photonic Crystals Integrating Graphene and Gold Layers. physica status solidi (RRL) – Rapid Research Letters (2025).
Ali, G.; Mohanty, S. K.*; Nayak, C.
Mode Sensitive Topological Interface State Dual-Mode Absorber in Hyperbolic Metamaterials Based One-Dimensional Photonic Crystals with Graphene and Gold Layer. IEEE Transactions on Nanotechnology, Vol. 25, Article 138 (2025). IEEE.
Ali, G.; Mohanty, S. K.; Nayak, C.

See the full record on Google Scholar, or the full CV.

Publications

Publications Yearwise

Complete list of publications sorted by year

2026
Hybrid Ridgelet Deep Neural Networks for Data-Driven Arbitrage Strategies. Proceedings of the Royal Society A, Vol. 482(2341), Article 20251054. Royal Society Publishing.
Yadav, B.; Mohanty, S. K.*
Polarization-Sensitive Absorption in All-Hyperbolic-Metamaterial Photonic Crystal Heterostructures Containing Graphene Layers. Physics Letters A, Article 132002. Elsevier.
Gulzar, A. J.; Mohanty, S. K.; Nayak, C.; Mohankumar, N.; Swain, S. K.
2025
Analysis of a Moored Floating Piezoelectric WEC in the Presence of a Wall. European Journal of Mechanics B/Fluids, Vol. 116, Article 204390. Elsevier.
Dora, R. R.; Meylan, M.; Mohanty, S. K.*
Magnetically Tunable Angle-Insensitive Multimode Absorption in Graphene Embedded Topological Photonic Heterostructures. Physica B: Condensed Matter, Vol. 707, Article 417157. Elsevier.
Ali, G.; Mohanty, S. K.*; Nayak, C.
Data-Driven Neural Differential Equation Model and Stochastic Dynamics for Glioma Prediction. IEEE Access, Vol. 13, pp. 145211–145222. IEEE.
Salman, M.; Mohanty, S. K.*
Dual-Band Angle-Independent Terahertz Absorption via Coupled Modes in Hyperbolic-Metamaterial-Based Photonic Crystals Integrating Graphene and Gold Layers. physica status solidi (RRL) – Rapid Research Letters.
Ali, G.; Mohanty, S. K.*; Nayak, C.
Mode Sensitive Topological Interface State Dual-Mode Absorber in Hyperbolic Metamaterials Based One-Dimensional Photonic Crystals with Graphene and Gold Layer. IEEE Transactions on Nanotechnology, Vol. 25, Article 138. IEEE.
Ali, G.; Mohanty, S. K.; Nayak, C.
Bragg Resonance in a Two-Layer Fluid with the Inclusion of Current and Tension at Both Surface and Interface. Archive of Applied Mechanics, Vol. 95, p. 26. Springer Nature.
Aggarwal, A.; Mohanty, S. K.*; Martha, S. C.
2024
Bragg scattering by an irregular, versatile seabed in the presence of current. Journal of Fluids and Structures, Vol. 125, p. 104059. Elsevier.
Khuntia, S.; Mohapatra, S.; Mohanty, S. K.
Wave trapping by porous breakwater near a wall under the influence of ocean current. Ocean Engineering, Vol. 303, p. 117820. Elsevier.
Dora, R. R.; Mondal, R.; Mohanty, S. K.
Oblique wave scattering by porous structures in the presence of current. Engineering Analysis with Boundary Elements, Vol. 167, p. 105885. Elsevier.
Dora, R. R.; Trivedi, K.; Mohanty, S. K.; Koley, S.
Bragg resonance due to an undulated elastic bottom in the presence of current. The European Physical Journal Special Topics, pp. 1–10. Springer.
Dora, R. R.; Mohanty, S. K.
A Systematic Review on Recent Advancements in Deep Learning and Mathematical Modelling for Efficient Detection of Glioblastoma. IEEE Transactions on Instrumentation and Measurement, Vol. 73, p. 2533134. IEEE.
Salman, M.; Das, P. K.; Mohanty, S. K.*
Wave resonances and the time-dependent capillary gravity wave motion. Wave Motion, Vol. 131, p. 103412. Elsevier.
Dora, R. R.; Manam, S. R.; Mohanty, S. K.
2023
Wave resonances in the presence of current and the frequency and time-domain interconnection. Wave Motion, Vol. 119, p. 103128. Elsevier.
Muniyappan, M.; Dora, R. R.; Mohanty, S. K.
Wave resonances and hydroelastic wave motion. Proceedings of the Royal Society A, Vol. 479, No. 2272, p. 20230105. The Royal Society.
Dora, R.; Saha, S.; Lu, D. Q.; Mohanty, S. K.
The role of blocking dynamics and current on wave scattering due to finite floating elastic plate. Ocean Engineering, Vol. 282, p. 114985. Elsevier.
Muniyappan, M.; Mohanty, S. K.
2022
Flexural gravity wave resonance in the presence of current. Journal of Waterway, Port, Coastal, and Ocean Engineering, Vol. 148, No. 3, p. 04022003. ASCE.
Saha, S.; Mohanty, S. K.; Bora, S. N.
2021
Time-dependent wave motion with undulated bottom. Acta Mechanica, 232(1), 283–303. Springer.
Mohanty, S. K.
2020
Time dependent wave motion in a permeable bed. Meccanica, 55(7), 1481–1497. Springer.
Mohanty, S. K.; Sidharth, M.
2019
Transient flexural gravity waves in two-layer fluid. Meccanica, 54(3), 491–504. Springer.
Mohanty, S. K.
Transient axi-symmetric disturbances in two-layer fluid. International Journal of Applied and Computational Mathematics, 5(5), Article 125. Springer.
Mohanty, S. K.
2015
Time-dependent capillary-gravity waves in the presence of current. Acta Mechanica, 226(2), 311–330. Springer.
Mohanty, S. K.; Bhattacharjee, J.; Sahoo, T.
2014
Time dependent flexural gravity waves in the presence of current. Journal of Fluids and Structures, 45, 28–49. Elsevier.
Mohanty, S. K.; Mondal, R.; Sahoo, T.
2013
Expansion formulae for wave structure interaction problems in three dimensions. IMA Journal of Applied Mathematics, 78(2), 181–205. Oxford University Press.
Mondal, R.; Mohanty, S. K.; Sahoo, T.

Full record also available on Google Scholar, ResearchGate, or the full CV.

Publications

Financial Mathematics

Selected publications in financial mathematics and quantitative finance

Selected Publications (1)
Hybrid Ridgelet Deep Neural Networks for Data-Driven Arbitrage Strategies. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 482(2341), Article 20251054 (2026). Royal Society Publishing.
Yadav, B.; Mohanty, S. K.*
Bahadur Yadav and Sanjay Kumar Mohanty, Encoder Decoder Generative Adversarial Network Model for Stock Market Prediction, https://arxiv.org/pdf/2510.10617
Bahadur Yadav and Sanjay Kumar Mohanty, Quantum Classical Ridgelet Neural Network For Time Series Model, https://doi.org/10.48550/arXiv.2601.03654
Sanjay Kumar Mohanty, Explainable Artificial Intelligence for Financial Integral Equations: A Fixed-Point Neural Operator Approach, https://doi.org/10.48550/arXiv.2604.27127
Bahadur Yadav, Mahaprasad Mohanty, Ratikanta Behera and Sanjay Kumar Mohanty, A hybrid wavelet-based physics-informed neural network for portfolio management, arXiv:2603.21834

See the full record on Google Scholar, or the full CV.