Dr. Santosh | Mathematics | Young Researcher Award

Indian Institute of Technology Mandi, India

Author Profile

SCOPUS

GOOGLE SCHOLAR

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: