Anita Tomar | Mathematics | Lifetime achievement Award

Prof. Anita Tomar | Mathematics | Lifetime achievement Award

Sridev Suman Uttarakhand University, India

Author Profile

ORCID

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🎓 EARLY ACADEMIC PURSUITS

Prof. Anita Tomar, an eminent academician in the field of Mathematics, laid the foundation of her scholarly journey with an M.Sc. (Mathematics) in First Division (1985), followed by an M.Phil. (Mathematics) in First Division (1986). She earned her Ph.D. in Mathematics in 2003, with a specialization in “Coincidences and Fixed Points of Single Valued and Multivalued Maps.” Her early education reflects a strong commitment to excellence and analytical rigor, setting the tone for her illustrious career ahead.

🏢 PROFESSIONAL ENDEAVORS

With over 25 years of rich teaching experience, Prof. Tomar has served in various prestigious institutions in Uttarakhand. Selected through the Uttar Pradesh Public Service Commission, she rose through the ranks from Lecturer to Professor and Head, currently leading the Department of Mathematics at Pt. L. M. S. Campus, Sridev Suman Uttarakhand University, Rishikesh.

She has held numerous key academic and administrative positions including:

  • Director, Centre of Excellence in Entrepreneurship and Incubation

  • Member, Academic Council, Executive Council, Board of Studies, Panel Inspections

  • Convener, Curriculum Development Committees under NEP 2020

  • Observer & Subject Expert for UKPSC & UKSSSC

📚 CONTRIBUTIONS AND RESEARCH FOCUS IN MATHEMATICS

Prof. Tomar’s academic and research interests are deeply rooted in:

  • Fixed Point Theory and its Applications

  • Fractal Geometry

  • Nonlinear Functional Analysis

Her work significantly contributes to solving complex mathematical problems with practical implications in science and engineering. Her research in Fractals intersects mathematics with real-world applications, such as in image compression, chaos theory, and modeling of natural phenomena.

She has authored:

  • 101+ Research Publications

  • 12 Book Chapters

  • 3 Edited Books

  • Delivered numerous lectures on advanced mathematical topics and organized 30+ academic events for student enrichment.

🏅 ACADEMIC CITATIONS, ACCOLADES AND RECOGNITION

Her scholarly excellence has earned numerous accolades:

  • 🏅 Excellence in Research Award 2023 – UCOST & Government of Uttarakhand

  • 🏅 Chief Minister’s Excellence and Good Governance Award 2020-21

  • 🏅 Women Scientist Award – UCOST

  • 🏅 Teacher of the Year 2020

  • 🏅 Appreciations from Springer, Gyan Kumbh, and International Conferences

  • 📜 Selected under Chief Minister’s Research Paper Incentive Scheme (2024)

🌍 IMPACT AND INFLUENCE

Prof. Tomar’s influence transcends national boundaries:

  • International Collaborations with scholars from Turkey, Romania, Algeria, Iran, Saudi Arabia, Tanzania, Serbia, Spain, and across India

  • Participation and recognition in global events such as:

    • ICM-2010 & ICM-2018 (Brazil)

    • WM² – Women in Mathematics Meet

    • “Faces of Women in Mathematics” Film Project

She has represented Uttarakhand on international platforms, sharing insights and building academic bridges across continents.

🧭 LEGACY AND FUTURE CONTRIBUTIONS

Prof. Tomar has played a pivotal role in shaping mathematics education in Uttarakhand:

  • Developed the NEP 2020 Syllabi for Mathematics and Statistics across state universities

  • Created syllabi for Skill Enhancement Courses such as Scientific Writing, Quantitative Aptitude, and Vedic Mathematics

  • Uploaded 80+ video lectures for online learning platforms

  • Instrumental in MOU with Southern Federal University, Russia

  • Guided and mentored numerous students toward entrepreneurial and academic excellence

Her legacy lies in her enduring contributions to mathematics education reform, capacity building, gender equality in STEM, and global mathematical discourse.

 ✅CONCLUSION

Prof. Anita Tomar is a beacon of academic excellence, research leadership, and educational transformation. Her dedication to teaching, innovation in curriculum design, and global outreach positions her among the leading mathematicians and educators in India. With her continued commitment to knowledge dissemination and academic empowerment, her work will inspire generations of learners, researchers, and policy-makers.

🔬NOTABLE PUBLICATION:

Title: A new extended metric space and solution of rocket’s ascending motion
Authors: Khairul Habib Alam, Yumnam Rohen, Anita Tomar, Junaid Ahmad
Journal: Asian-European Journal of Mathematics
Year: 2025


Title: Fixed points of ω\omega-interpolative Hardy–Rogers contraction and its application in b-metric spaces
Authors: Anita Tomar, U. S. Rana, Vipul Kumar
Journal: Afrika Matematika
Year: 2025


Title: Positive Solutions of Discrete Fractional Sturm–Liouville Problems
Authors: Jagan Mohan Jonnalagadda, Anita Tomar
Journal: Journal of Mathematical Sciences
Year: 2025


Title: Non-contractive mappings and application to a drug diffusion problem
Authors: R. P. Pant, Anita Tomar, Meena Joshi
Journal: Applied General Topology
Year: 2025


Title: An Effective Iterative Process Utilizing Transcendental Sine Functions for the Generation of Julia and Mandelbrot Sets
Authors: Khairul Habib Alam, Yumnam Rohen, Anita Tomar, Naeem Saleem, Maggie Aphane, Asima Razzaque
Journal: Fractal and Fractional
Year: 2025

Santosh | Mathematics | Young Researcher Award

Dr. Santosh | Mathematics | Young Researcher Award

Indian Institute of Technology Mandi, India

Author Profile

SCOPUS

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🎓 EARLY ACADEMIC PURSUITS

Dr. Santosh Ruhil’s journey into mathematics began with a strong foundation laid during her B.Sc. (Hons.) in Mathematics from Pt. Neki Ram Sharma Govt. College, affiliated with Maharishi Dayanand University, Rohtak. Her exceptional academic performance earned her the overall first position and a National Scholarship from the State Government of Haryana. She further pursued her M.Sc. in Applied Mathematics at IIT Mandi, where she stood out as one of the top candidates (AIR 3 in the entrance test), supported by a Merit Cum Means Scholarship.

🏢 PROFESSIONAL ENDEAVORS

Dr. Ruhil currently serves as an Institute Research Fellow in the School of Mathematical & Statistical Sciences at Indian Institute of Technology (IIT) Mandi, Himachal Pradesh. Prior to this, she held a Junior Research Fellowship (JRF) position on a project focused on inverse problems for abstract differential equations. She also contributed as a Research Scholar and is expected to complete her Ph.D. in Applied Mathematics in 2025.

📚 CONTRIBUTIONS AND RESEARCH FOCUS IN MATHEMATICS

Dr. Ruhil’s research lies at the intersection of pure and applied mathematics, with a strong emphasis on the qualitative study of inverse problems for differential equations and differential inclusions in abstract spaces. Her work explores:

  • Existence, uniqueness, and stability of solutions

  • Semigroup theory, perturbation theory, and set-valued analysis

  • Equations with impulsive, fractional, delay, and non-local dynamics

Her doctoral thesis titled “A Study of Inverse Problems for Differential Equations and Differential Inclusions in Abstract Spaces” reflects her deep engagement with evolution equations, optimal control theory, and functional differential equations.

🏅 ACADEMIC CITATIONS, ACCOLADES AND RECOGNITION

Dr. Santosh Ruhil has published extensively in reputed journals such as the Journal of Inverse and Ill-posed Problems, Evolution Equations and Control Theory, and Mathematical Methods in the Applied Sciences, with several more papers under review. She qualified GATE in 2021 and 2022, secured AIR 3 in the IIT Mandi PG entrance, and AIR 382 in IIT JAM 2018. Her academic excellence has been recognized through a Merit-cum-Means Scholarship at IIT Mandi and a National Scholarship from the Government of Haryana, along with a first-rank position in her B.Sc. (Hons).

🌍 IMPACT AND INFLUENCE

Through numerous national and international conferences, workshops, and seminars, Dr. Ruhil has contributed significantly to the academic discourse on differential equations and control theory. She has delivered talks, presented posters, and participated in advanced mathematical workshops across premier institutions such as IIT Roorkee, IIT BHU, IIIT Allahabad, and NYU Abu Dhabi. Her active role in organizing and volunteering for events has amplified collaborative research within the mathematical community.

🧭 LEGACY AND FUTURE CONTRIBUTIONS

Dr. Ruhil aims to further the mathematical understanding of complex inverse problems in differential systems, especially those involving abstract functional spaces, state-dependent dynamics, and impulsive control. Her interdisciplinary approach bridges theoretical mathematics with applied models, paving the way for future breakthroughs in mathematical modeling, control systems, and optimization theory.

She is committed to mentoring young minds, contributing to curriculum design, and continuing collaborative research in applied analysis and control theory.

 ✅CONCLUSION

Dr. Santosh Ruhil emerges as a young, dynamic, and forward-looking researcher in the mathematical sciences. Her focus on abstract differential systems and inverse problem theory demonstrates both mathematical rigor and real-world relevance. With a strong academic background, peer-reviewed contributions, and active participation in the global mathematical community, she is poised to shape the future of applied mathematics research in India and beyond.

🔬NOTABLE PUBLICATION:

  • Inverse problem for the Atangana–Baleanu fractional differential equation
    Authors: S. Ruhil, M. Malik
    Journal: Journal of Inverse and Ill-posed Problems
    Year: 2023

  • Inverse problem for an abstract neutral differential equation of Sobolev-type
    Authors: M. Malik, S. Ruhil
    Journal: Results in Control and Optimization
    Year: 2023

  •  An investigation of an inverse problem for second-order abstract differential equation
    Authors: M. Malik, S. Ruhil, R. Dhayal
    Journal: Indian Journal of Pure and Applied Mathematics
    Year: 2023

  • Inverse problem for abstract delay differential equation with impulsive effects
    Authors: S. Ruhil, M. Malik
    Journal: Evolution Equations and Control Theory
    Year: 2024

  • Inverse problem for abstract differential equation with non-instantaneous impulses
    Authors: S. Ruhil, M. Malik
    Journal: Rocky Mountain Journal of Mathematics
    Year: 2025