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Dr. Manushi Gupta

Assistant Professor

Mathematics

Institute of Engineering & Technology

Biography

Dr. Manushi Gupta completed her PhD under Prof. Santwana Mukhopadhyay at IIT (BHU), Varanasi. She holds a B.Sc. (Hons.) and M.Sc. in Mathematics from Delhi University. As an accomplished researcher, she has published five papers as a first author and co-authored three others, focusing on Mathematical Modelling of Coupled Thermomechanical Problems. Manushi has also worked as an online tutor and subject matter expert at Trivium Education Services. She believes in composite learning and thinks of teaching as a mutual process of knowledge exchange between students and teachers. She sees herself as a competent faculty member and an aspiring researcher in future. 

Education

  • Indian Institute of Technology (BHU), Varanasi, 2021

    Ph.D.

    Focus: Mathematical Aspects of Some Non-Conventional Thermoelastic Models

  • Ramjas College, Delhi University, 2014

    MSc

    Major: Mathematics

  • Lady Shri Ram College for Women, Delhi University, 2012

    BSc (Hons)

    Major: Mathematics

  • Mathematical Modelling
  • Partial Differential Equations
  • Generalized Thermoelasticity Theory
  • Non-Fourier Heat Conduction Problem

  • Tiwari, Rakhi, and Manushi Gupta. "An investigation of biological tissue responses to thermal shock within the framework of fractional heat transfer theory." Mechanics of Time-Dependent Materials (2024): 1-19.
  • Gupta, Manushi, Komal Jandid, and Santwana Mukhopadhyay. “Domain of influence results of dual-phase-lag thermoelasticity theory for natural stress–heat-flux problem.” Zeitschrift für angewandte Mathematik und Physik 73(4) (2022): 1-12.
  • Gupta, Manushi, and Santwana Mukhopadhyay. “On the reflection of thermoelastic waves under an exact heat conduction model with a delay and temperature-dependent elastic parameters.” Waves in Random and Complex Media (2021):1-32.
  • Gupta, Manushi, and Santwana Mukhopadhyay. “Analysis of harmonic plane wave propagation by strain and temperature rate-dependent thermoelastic model.” Waves in Random and Complex Media 31(6) (2021):2481-2498.
  • Gupta, Manushi, and Santwana Mukhopadhyay. "Stochastic thermoelastic interaction under a dual phase-lag model due to random temperature distribution at the boundary of a half-space." Mathematics and Mechanics of Solids 24.6 (2019): 1873-1892.
  • Gupta, Manushi, and Santwana Mukhopadhyay. "A study on generalized thermoelasticity theory based on non-local heat conduction model with dual-phase-lag." Journal of Thermal Stresses 42.9 (2019): 1123-1135.
  • Gupta, Manushi, and Santwana Mukhopadhyay. "Galerkin-type solution for the theory of strain and temperature rate-dependent thermoelasticity." Acta Mechanica 230.10 (2019): 3633-3643.
  • Kumari, Bharti, Anil Kumar, Manushi Gupta, and Santwana Mukhopadhyay. "Analysis of a recent heat conduction model with a delay for thermoelastic interactions in an unbounded medium with a spherical cavity." Applications & Applied Mathematics 13.2 (2018).
  • Singh, Bhagwan, Manushi Gupta, and Santwana Mukhopadhyay. “On the fundamental solutions for the strain and temperature rate-dependent generalized thermoelasticity theory.” Journal of Thermal Stresses 43.5 (2020): 650-664.
  • Jangid, Komal, Manushi Gupta, and Santwana Mukhopadhyay. “On propagation of harmonic plane waves under the Moore-Gibson-Thompson thermoelasticity theory.” Waves in Random and Complex Media (2021).
  • Kant, Shashi, Manushi Gupta, Om Namha Shivay, and Santwana Mukhopadhyay. "An investigation on a two-dimensional problem of Mode-I crack in a thermoelastic medium." Zeitschrift für angewandte Mathematik und Physik 69.2 (2018): 21.

  • Gupta, Manushi, and Santwana Mukhopadhyay. "On linear theory of thermoelasticity for an anisotropic medium under a recent exact heat conduction model." International Conference on Mathematics and Computing. Springer, Singapore, 2018

  • Linear Algebra and Differential Equations
  • Number Theory
  • Calculus
  • Discrete Mathematics

  • Integral Transforms
  • Real Analysis
  • Numerical Analysis

  • Assistant Professor, JKLU, Jaipur. (Sept 2021 - Present).
  • Online tutor and Subject Matter Expert, Trivium Education Services Private Limited (Nov 2014- June 2016)

  • Waves in Random and Complex Media.
  • Mathematics and Mechanics of Solids.
  • Journal of Elasticity

  • Resident faculty, Initiation into Mathematics (InitMath) 2025, Initiation into Mathematics (InitMath) 2025. (January 06, 2025- January 11, 2025)
  • Coordinator, Mathematics Training and Talent Search Programme- Online Foundation Course in Mathematics (OFCM 2024). (August 18, 2024 – August 31, 2024).
  • Mentor, Mathematics Training and Talent Search (MTTS 2024), Central University of Tamil Nadu, Thiruvarur. (May 20, 2024 – June 3, 2024).
  • Coordinator, G5 Camp, Mathematics Training and Talent Search Programme- Online Foundation Course in Mathematics (OFCM 2023). (August 20, 2023 – September 02, 2023).
  • Mentor, Mathematics Training and Talent Search (MTTS 2023), IIT Madras. (May 22, 2023 – June 17, 2023).
  • Mentor, Mathematics Training and Talent Search Programme- Online Foundation Course in Mathematics (OFCM 2022). (October 16, 2022 – November 06, 2022).
  • Mentor, Mathematics Training and Talent Search (MTTS 2023), online. (June 11, 2021 – July 05, 2021).

  • Life Member, Indian Mathematical Society (IMS). (April, 2024- Present).
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  • Bachelor of Technology B.Tech

  • Bachelor of Design B.Des

  • Bachelor of Business Administration BBA

  • Bachelor of Business Administration BBA (Fintech)

  • Bachelor of Business Administration BBA (Honours)

  • Master of Design M.Des

  • Master of Technology M.Tech

  • Master of Business Administration MBA

  • Doctor of Philosophy PhD

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