Anita Tomar | Pure Mathematics | Excellence in Research

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Prof. Anita Tomar | Pure Mathematics | Excellence in Research

Professor and Head at Pt. L. M. S. Campus, Sri Dev Suman Uttarakhand University, Rishikesh, India

Professor Anita Tomar is a distinguished academic with over 25 years of experience in mathematics. Currently serving as the Head of the Department of Mathematics at Sri Dev Suman Uttarakhand University, she specializes in Fixed Point Theory, Fractals, and Nonlinear Functional Analysis. With a Ph.D. in Mathematics and more than 95 publications, including 10 book chapters and one edited book, she has made significant contributions to the field. She has earned numerous accolades, including the “Excellence in Research Award 2023” and the “Chief Minister Excellence and Good Governance Award 2020-21.” 🌟📚 Prof. Tomar has collaborated internationally with experts from various countries and played a key role in developing syllabi under NEP 2020 for multiple institutions. 🌍 Her research includes groundbreaking work on fixed points, fractals, and their applications in science and technology. 🧮🔬 As a renowned educator and researcher, she continues to inspire the academic community.

Professional Profile 

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Education 📖🎓

Professor Anita Tomar’s educational journey is a testament to her dedication to mathematics. She holds a Ph.D. in Mathematics, having earned it through years of rigorous research and exploration of specialized mathematical fields. Her academic foundation also includes a Master’s in Mathematics, which she completed with distinction. 📖🎓 Her deep understanding of mathematical concepts is reflected in her research and teaching, where she has inspired numerous students to pursue advanced studies in the field. Her education has paved the way for a successful career, allowing her to contribute significantly to the advancement of mathematical knowledge. 🌟

Professional Experience 👩‍🏫✨

With over 25 years of teaching experience, Professor Anita Tomar is a highly respected academic leader. 🌱 She has served as the Head of the Department of Mathematics at Sri Dev Suman Uttarakhand University, where she has shaped the curriculum and mentored students. 🏫 Her professional journey also includes teaching at prestigious institutions and guiding students at all levels, from undergraduate to Ph.D. Her expertise spans both theoretical and applied mathematics, and she has contributed to the development of new academic programs under India’s NEP 2020. Her leadership continues to influence the future of mathematics education. 👩‍🏫✨

Research Interests 🧮

Professor Anita Tomar’s research is centered on Fixed Point Theory, Nonlinear Functional Analysis, and Fractals. 🧮 Her work on the applications of these mathematical concepts to real-world problems, such as drug diffusion and tumor micro-environments, has established her as a leader in interdisciplinary mathematical research. 🔬 Her extensive publication record, which includes 95 papers and 10 book chapters, showcases the breadth and depth of her contributions. 🌍📚 She is passionate about advancing mathematical theories and exploring their applications in areas like physics, biology, and engineering. Her innovative research continues to push the boundaries of mathematical science. 🌟

Awards and Honors 🏆

Throughout her career, Professor Anita Tomar has received numerous prestigious awards and honors that recognize her exceptional contributions to mathematics. 🏆 These accolades include the “Excellence in Research Award 2023” and the “Chief Minister Excellence and Good Governance Award 2020-21,” underscoring her impact in both academic and societal contexts. 🌟 Her accolades reflect her ongoing commitment to advancing mathematical research and education. As a respected figure in her field, she continues to inspire and lead through both her scholarly work and her mentoring of the next generation of mathematicians. 🌟📜

Conclusion🌍📚

Professor Anita Tomar’s career is a shining example of excellence in mathematics. With a rich educational background, decades of professional experience, and a strong research record, she has made invaluable contributions to the mathematical community. 🌍📚 Her dedication to education, research, and interdisciplinary applications of mathematics has earned her widespread recognition. Through her awards, leadership roles, and collaborative work with international researchers, Professor Tomar continues to inspire both her peers and students. 🌟 As a researcher and educator, her passion for mathematics is unmatched, and she remains an influential figure in her field. 🌟

Publications Top Notes

🌀 Fractal Generation via Generalized Fibonacci–Mann Iteration with S-Convexity
Authors: S. Antal, N. Özgür, A. Tomar, K. Gdawiec
Year: 2024
Citation: Indian Journal of Pure and Applied Mathematics, 1-15
Source: Indian Journal of Pure and Applied Mathematics 🧮🔢

📊 Best Proximant for Set-Valued Maps via Proximal Relations
Authors: S. Petwal, A. Tomar, M. Joshi
Year: 2023
Citation: International Journal of Nonlinear Analysis and Applications, 14(1), 1237-1247
Source: International Journal of Nonlinear Analysis and Applications 📊📈

✍️ On Solutions to Open Problems and Volterra-Hammerstein Non-linear Integral Equation
Authors: S. Beloul, A. Tomar, M. Joshi
Year: 2022
Citation: Applied Mathematics E-Notes, 22, 692-711
Source: Applied Mathematics E-Notes ✍️📚

🔄 Fixed Point on Complete M-Metric Spaces via F(ψ, φ)- Contraction Mappings and Application to Periodic Differential Equation
Authors: S. Petwal, A. Tomar, M. Joshi
Year: 2021
Citation: Azerbaijan J. Math., 11(2 special issue), 29-48
Source: Azerbaijan Journal of Mathematics 🔄🌀

📐 Results in Strongly Minihedral Cone and Scalar Weighted Cone Metric Spaces and Applications
Authors: A. Tomar, M. Joshi
Year: 2021
Citation: Annales Mathematicae Silesianae, DOI: 10.2478/amsil-2021-0009
Source: Annales Mathematicae Silesianae 📐🔺

🧩 Existence of Coincidence and Common Fixed Points for Weakly Compatible Mappings in Symmetric Spaces
Authors: S. Manro, A. Tomar, S. M. Kang
Year: 2015
Citation: Bangmod Int. J. Math. & Comp. Sci., 1(01), 19-31
Source: Bangmod International Journal of Mathematics & Computer Science 🧩💡

💻 A Common Fixed Point Theorem in Non-Archimedean Menger PM-Space
Authors: S. Chauhan, B.D. Pant, S. Kumar, A. Tomar
Year: 2013
Citation: Analele Universitatii Oradea Fasc. Matematica, 20(02), 75-84
Source: Analele Universitatii Oradea 📚💻

✨ Positive Solutions of Discrete Fractional Sturm–Liouville Problems
Authors: J.M. Jonnalagadda, A. Tomar
Year: 2025
Citation: Journal of Mathematical Sciences, 1-14
Source: Journal of Mathematical Sciences 🧮✨

🔬 Non-Contractive Mappings and Application to a Drug Diffusion Problem
Authors: R.P. Pant, A. Tomar, M. Joshi
Year: 2025
Citation: Applied General Topology, 26(1), 221-240
Source: Applied General Topology 🔬💊

🌌 On the Evolution and Importance of the Fibonacci Sequence in Visualization of Fractals
Authors: S. Sharma, A. Tomar, S.K. Padaliya
Year: 2025
Citation: Chaos, Solitons & Fractals, 191, 115851
Source: Chaos, Solitons & Fractals 🔢🌌

🌊 An Effective Iterative Process Utilizing Transcendental Sine Functions for the Generation of Julia and Mandelbrot Sets
Authors: K.H. Alam, Y. Rohen, A. Tomar, N. Saleem, M. Aphane, A. Razzaque
Year: 2025
Citation: Fractal and Fractional, 9(1), 40
Source: Fractal and Fractional 🌊📉

🌍 Assessment and Study of Four Major Air Pollutants in Three Main Garhwal Region in Uttarakhand
Authors: A. Tomar, V. Kumar, P.P. Pathak, F.S. Gill
Year: 2025
Citation: Challenges in Information, Communication and Computing Technology, 286-291
Source: Challenges in Information, Communication and Computing Technology 🌍🌀

🚀 A New Extended Metric Space and Solution of Rocket’s Ascending Motion
Authors: A. Tomar
Year: 2025
Citation: Asian-European Journal of Mathematics, 2550001, 18
Source: Asian-European Journal of Mathematics 🚀📐

💡 Resolving Elliptic Boundary Value Problem and Integral Equation in Relational Partial Metric Space
Authors: M. Joshi, A. Tomar, M. Sajid, S.K. Padaliya
Year: 2024
Citation: Heliyon, 10(23)
Source: Heliyon 💡🌍

🔍 On Set-Valued Fixed Points, Their Geometry, and Solution of Boundary Value Problem for a Differential Inclusion
Authors: M. Joshi, A. Tomar
Year: 2024
Citation: Indian Journal of Pure and Applied Mathematics, 1-16
Source: Indian Journal of Pure and Applied Mathematics 🧮🔍

📈 Asymptotic Behavior of Generalized CR− Iteration Algorithm and Application to Common Zeros of Accretive Operators
Authors: A. Mushtaq, K. Moinuddin, N. Sharma, A. Tomar
Year: 2024
Citation: MATHEMATICA, 399
Source: MATHEMATICA 📈🔄

🗣️ International Symposium on Recent Progress in Fixed Point Theory
Author: A. Tomar
Year: 2023
Citation: Ege University
Source: Ege University 🗣️🔢

Sarishti Singh | Pure Mathematics | Best Researcher Award

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Dr. Sarishti Singh | Pure Mathematics | Best Researcher Award

Research Assistant at Bits Pilani Goa, India

Dr. Sarishti Singh 🎓, an emerging scholar from the Department of Mathematics at IIT Kharagpur 🇮🇳, exemplifies brilliance in the realm of interval analysis and matrix theory. With a Ph.D. focused on uncertainty modeling through interval matrices, her research explores sophisticated domains such as generalized eigenvalue problems, singular value decomposition, and portfolio optimization under imprecise conditions 📊. Backed by prestigious fellowships like UGC-JRF and GATE (AIR 44) 🏅, she has authored impactful publications in leading international journals, showcasing innovation and mathematical rigor 🧠. Dr. Singh’s global academic footprint is evident through her contributions to top-tier conferences including SIAM LA24 in Paris 🌍. Her technical fluency in Python, MATLAB, and R, combined with a strong foundation in teaching, adds to her multifaceted academic persona 💻📚. Guided by eminent mentors and driven by curiosity, she stands as a dynamic force in applied mathematics, poised to shape the future of quantitative sciences 🔍🚀.

Professional Profile 

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📘 Education

Dr. Sarishti Singh’s academic journey reflects her unwavering commitment to mathematical sciences. She earned her Ph.D. in Mathematics from the esteemed Indian Institute of Technology Kharagpur 🎓, where she specialized in interval matrices under the mentorship of Prof. Geetanjali Panda. Prior to that, she completed her Master’s and Bachelor’s degrees in Mathematics from Panjab University, Chandigarh 🧮, solidifying a strong theoretical foundation. Her academic brilliance is evident through her 8.84 CGPA in Ph.D. coursework and consistently high scores throughout her education. From school achievements to advanced research training, Dr. Singh has demonstrated exceptional focus and dedication 📚, making her a standout figure in the mathematical community.

Professional Experience

Dr. Singh brings a wealth of research and teaching experience from IIT Kharagpur 🏫. She served as a Senior Research Fellow from 2021 to 2025 and as a Junior Research Fellow from 2019 to 2021, actively contributing to academic research and mentoring undergraduate students as a Teaching Assistant 🧑‍🏫. Her roles have equipped her with deep insights into both theoretical and applied mathematics, as well as pedagogical experience in guiding young minds. Her consistent engagement with faculty and students reflects her strong communication skills and leadership in collaborative environments 🤝. These professional experiences underscore her versatility and commitment to advancing mathematical science on both research and academic fronts.

🔬 Research Interest

Dr. Singh’s research is grounded in the theory and application of interval matrices—a robust framework for modeling uncertainty in real-world data 💡. Her work explores generalized eigenvalue problems, singular value decomposition, and solution bounds for overdetermined systems using interval analysis 🔎. These pursuits have not only advanced mathematical understanding but also offer powerful tools for computational modeling, portfolio optimization, and decision-making under imprecision. Dr. Singh is particularly focused on creating methodologies that bridge abstract mathematics with tangible outcomes, making her work relevant across fields like finance, engineering, and data science 📈. Her passion lies in decoding complex systems through structured uncertainty and insightful computations.

🏆 Awards and Honors

Dr. Sarishti Singh has garnered distinguished accolades that celebrate her scholarly excellence 🏅. She is a recipient of the highly competitive UGC Junior Research Fellowship, awarded by the Ministry of Education, Government of India 🎖️. Additionally, she cleared the Graduate Aptitude Test in Engineering (GATE 2019) with an impressive All India Rank of 44, reflecting her academic prowess 🧠. Her successful qualification in UGC-NET (JRF, December 2019) further emphasizes her research aptitude and national standing. These honors have not only supported her academic journey but also recognize her as one of the most promising young minds in mathematical research 📜.

🧾 Conclusion

In sum, Dr. Sarishti Singh stands as a compelling exemplar of mathematical excellence, innovation, and scholarly dedication 🌟. Her impressive educational credentials, dynamic professional journey, and research breakthroughs in interval analysis illustrate a scholar who is both technically proficient and intellectually curious 🔬✨. With prestigious honors and international academic engagements, she continues to contribute to high-impact mathematical discourse and applications. Dr. Singh’s trajectory suggests not just academic brilliance, but also leadership potential in shaping the future of applied mathematics 🧭. Her fusion of theory and practice, paired with a passion for learning, makes her exceptionally deserving of recognition such as the Best Researcher Award 🏆.

Publications Top Notes

🔹 Generalized Eigenvalue Problem for Interval Matrices
Authors: S. Singh, G. Panda
📅 Year: 2023
📖 Journal: Archiv der Mathematik, 121(3), 267–278
🔁 Citations: 5
🧩 Focus: Explores eigenvalue computation within uncertainty models using interval matrices.

🔹 SVD Enclosure of a Class of Interval Matrices
Authors: S. Singh, G. Panda
📅 Year: 2024
📖 Journal: Information Sciences, 666, Article 120386
🔁 Citations: 4
🔍 Insight: Enhancing accuracy of singular value bounds under parametric uncertainty.

🔹 Bounding the Solution Set of Overdetermined System of Interval Linear Equations
Authors: S. Singh, G. Panda
📅 Year: 2025
📖 Journal: Bulletin of the Iranian Mathematical Society, 51(2), 23
🔁 Citations: 1
📐 Contribution: Provides tight bounds for inconsistent interval linear systems.

🔹 On the Sensitivity of Some Portfolio Optimization Models Using Interval Analysis
Authors: S. Singh, G. Panda
📅 Year: 2025
📖 Journal: OPSEARCH, 62(1), 77–103
🔁 Citations: 1
💼 Application: Examines how interval uncertainty affects financial portfolio strategies.

🔹 Estimation of Lower Bound for the Smallest Singular Value Enclosure of Interval Matrices
Authors: S. Singh, G. Panda
📅 Year: 2024
📖 Journal: Journal of Applied Mathematics and Computing, 70(6), 5543–5556
🔁 Citations: 1
🔧 Result: Delivers techniques for computing robust singular value bounds.

🔹 Singular Value Decomposition of Matrices with Uncertain Parameters
Authors: S. Singh, G. Panda
📅 Year: 2022
📖 Conference: INCOFT – International Conference on Futuristic Technologies
🔁 Citations: 1
⚙️ Scope: Applying SVD to real-world systems with vague or variable inputs.

🔹 Eigenvalue Bounds and Perron-Frobenius Theory for Nonnegative or Positive Interval Matrices
Authors: S. Singh, G. Panda
📅 Year: 2025
📖 Journal: Applied Mathematics and Computation, 495, Article 129329
📊 Theory: Extends classical eigenvalue theory to handle interval matrix positivity.