Dr. Pragya Shukla joined the Department of Applied Sciences, ABV-Indian Institute of Information Technology and Management Gwalior as an Assistant Professor in December 2022. Before this, she worked as a guest faculty in Mulana Azad National Institute of Technology Bhopal for one semester.

She completed her Ph.D. from the Department of Mathematical Sciences at the Indian Institute of Technology (Banaras Hindu University) Varanasi in October 2022. Her Ph.D. thesis is on the theory of different aspects of pseudo-differential operators associated with the Bessel operator, Hankel wavelet multiplier, and Watson wavelet multiplier etc. She is a lifetime member of the Academy of Progress of Mathematics, India.

Research Interests

Functional Analysis, Integral Transform, Distribution Theory, Pseudo Differential Operators.

Academic Position

Sep 2022-Dec 2022, Worked as an assistant professor in MANIT Bhopal as a Guest faculty.

Published Journal Paper

• Pragya Shukla, “Adaptive mesh based Haar wavelet approximation for a singularly perturbed integral boundary problem”,  Iranian Journal of Numerical Analysis and Optimization, (2024), (With Sumit and Vineeta).
• Pragya Shukla, ”The localization operator and wavelet multipliers involving Watson transform”, International Journal of Wavelets, Multiresolution and Information Processing (2024), with S. K. Upadhyay
• Pragya Shukla, “Watson wavelet transform: Convolution product and two wavelet multipliers”, Fractals: Complex Geometry, Patterns, and Scaling in Nature and Society, 1-14, (2023), (With S. K Upadhyay).
• Pragya Shukla, “The localization operator and wavelet multipliers involving Watson transform”, Pseudo-Differ. Oper. Appl., 13, 1-21, (2022). (With H. M. Srivastava, and S. K. Upadhyay).
• Pragya Shukla, “Wavelet multiplier associated with the Watson transform”, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A.Matemáticas (2022), (With S. K. Upadhyay).
• Pragya Shukla, “Lp- spectra of spectra of pseudo-differential operators associated with the Bessel operator”, Bulletin des Sciences Mathematiques 168, (2021). (With S. K. Upadhyay).

Invited Talk

•  Five-day Online Faculty Development Program (FDP) focusing on ‘Wavelet and its Applications, at the Department of Mathematics (SAS) VIT Chennai from April 15, 2024, to April 19, 2024.

Conferences/Workshops/Short-term Course Organized

• Coordinator, Workshop on 3-Days Workshop on “Multivariate Data Analysis and Mathematical Tools for Sciences, Engineering, and Management", May 20 - 22, 2024, Department of Engineering Sciences, ABV-IIIT Gwalior, India (funded by TIIC, ABV-IIITM Gwalior).

Invited Session Chair

•  International Conference on “Recent Advances in Mathematics and Data Sciences” (ICRAMDS -2024), MANIT Bhopal
• 3-Day International Workshop on Mathematical Models and Methods in Life Sciences (M 3 LS 2024), ABV-IIITM Gwalior

Conferences(International/National)

• Invited talk on "Application of non-uniform Haar wavelet on an adaptive mesh for singularly perturbed convection-diffusion problem with non-local boundary", BAIL 2024 Spain
• Presented paper entitled "Lp- spectra of strongly carleman pseudo-differential operator involving integral transform", in International Conference on "Differential Equations and Control Problems: Modelling Analysis and Computations", (ICDECP-2019), held at Indian Institute of Technology (Mandi), Himachal Pradesh India, June 17-19,
• Presented paper entitled "Spectral properties of Pseudo-Differential operator", in the International Conference on Analysis and Its Applications (ICAA-2019), 16-18, 2019, Department of Mathematical Sciences, University of Jammu, Jammu.
• Presented paper entitled "Wavelet multiplier associated with the Hankel transform" in the 27th International Conference of the International Academy of Physical Sciences (CONIAPS XXVII) on "Mathematical Analysis and Its Applications" October 26-28, 2021, jointly organized by Department of Mathematics, Central University of Kerala, India, International Academy of Physical Sciences, Prayagraj, India
• Presented paper entitled "Watson Wavelet Transform: Convolution Product and Two Wavelet Multipliers", in the National Conference on Recent Advances in Mathematical Analysis and Applications (NCAPM-RAMAA-2022), May 7-8, 2022, DST-CIMS, Banaras Hindu University,

Workshop

• Participated in GIAN Workshop on, "Wavelets and Their Application in Signal and Image Processing", held at Indian Institute of Technology (BHU), Varanasi, U.P. India, Dec 21-25, 2017.
• Participated in GIAN Workshop on "Fractional Derivatives and Its Applications", held at Indian Institute of Technology (BHU), Varanasi, P. India, Jan 30-Feb 03, 2018.
• Participated in Workshop on, "Training program on Tools for Scientific documentation: LATEX, JebRef, DocEar and Other Open-Source Software", held at Banaras Hindu University DST-CIMS, Varanasi, P. India, 5 Feb- 16 Feb, 2018.
• Participated in Workshop on, "Hands on Training Program on C and MATLAB", held at Banaras Hindu University DST-CIMS, Varanasi, P. India, 10 Feb- 17 Feb 2018.
• Participated in Workshop on, "Integral Transformations, Distributions, Wavelet Analysis and Applications", held at Indian Institute of Technology (Dhanbad), Jharkhand, India, Oct 08-12,
• Participated in National Webinar on, "Applications of Mathematics", Organized by Department of Mathematics in collaboration with IQAC, Seth Anandram Jaipuria college, Kolkata, University of Calcutta on 11 August 2020.
• Participated in Online seminar on, "Enhancing Entrepreneurship Skills using Mathematical Mind", Organized by Department of Mathematics and Statistics, Manipal University Jaiur, 24 Sep
• Participated in two-week online faculty development programme on, "Machine Learning for Computer Vision", jointly organized by the Electronics and ICT Academies at IIT Guwahati, IIT Kanpur, MNIT Jaipur, NIT Patna and PDPM IIITDM Jabalpur, on Feb 1-12, 2021.
• Participated in International Workshop on, "Recent trends in Applied Mathematics and Research Methodology", Organized by Department of Mathematics, Govt MGM PG college, 04-05, March.

Fellowships & Awards

• 2024, International Travel Support from SERB for an International Conference in Spain
• 2019 –2022,  CSIR-Senior Research Fellowship, Government of India, as a PhD research scholar in Indian Institute of Technology (BHU), Varanasi.
• 2017 –2019 CSIR-Junior Research Fellowship, Government of India, as a PhD research scholar in Indian Institute of Technology (BHU), Varanasi.
• 2017 Qualified Gate-MA, AIR-143.
• Dec. 2016 Qualified CSIR-NET (JRF-Mathematical Sciences), AIR-103.

Academic Achievements & Recognitions:

• May 28-29, 2022, Worked as evaluator for exams conducted in “Vidyarthi Vighyan Manthan” at Indian Institute of Technology (BHU), Varanasi.
• 2022 Life member of “Journal of the Academy of Progress of Mathematics”, India.

Administrative Positions:

• Assistant Warden Girls Hostel, ABV-IIITM Gwalior 
• Convener of DUGC, ABV-IIITM Gwalior 2024- 2025

Teaching Assistantship (TA/Tutor):

MA101: Engineering Mathematics-I; MA102: Engineering Mathematics-II; MA201: Numerical Techniques; AM203: Mathematical Methods; MA413: Distribution Theory; MA513:Wavelet Analysis and Its Applications, Calculus, Graph theory, Optimization.