Deepak Kumar Mahanta | Mathematics | Best Researcher Award

Posted on by Indian Scientist

Mr. Deepak Kumar Mahanta | Mathematics | Best Researcher Award

Indian Institute of Technology Jodhpur, Rajasthan | India

Deepak Kumar Mahanta is a dedicated researcher in mathematics, currently pursuing a Ph.D. at the Indian Institute of Technology Jodhpur under the guidance of esteemed faculty members. His academic journey reflects a strong foundation in pure mathematics, complemented by active engagement in research on partial differential equations and related areas. He has authored multiple research papers in reputed international journals and contributed to the mathematical community through workshops, seminars, and collaborative projects. His work is characterized by rigor, depth, and originality, aiming to address complex mathematical problems with both theoretical insights and potential practical applications.

Professional Profiles

Scopus | Orcid 

Education

Deepak Kumar Mahanta holds a strong academic background in mathematics, beginning with a Bachelor of Science degree in Mathematics (Hons) from North Odisha University, followed by a Master of Science in Pure Mathematics from Dr. B R Ambedkar National Institute of Technology Jalandhar. He is presently pursuing his doctoral studies in mathematics at the Indian Institute of Technology Jodhpur under the supervision of experienced mentors. His education has been marked by consistent excellence and a focus on advanced mathematical theories, particularly in the domain of nonlinear analysis, variational methods, and partial differential equations, building a solid base for his research endeavors.

Professional Experience

Deepak Kumar Mahanta has actively contributed to academia as a Teaching Assistant at the Indian Institute of Technology Jodhpur, assisting in both undergraduate and postgraduate mathematics courses. His teaching responsibilities have included subjects such as Mathematics-I, Mathematics-II, and Complex Analysis, working alongside various faculty members. In addition to teaching, he has been involved in organizing and participating in numerous national and international workshops, seminars, and symposiums on partial differential equations and related topics. His professional engagement demonstrates a balance of research, teaching, and academic service, fostering a collaborative and intellectually stimulating learning environment.

Awards and Recognition

Deepak Kumar Mahanta has been honored with prestigious academic recognitions for his outstanding performance and dedication to mathematics. He has been awarded a fellowship from the Department of Science and Technology to support his doctoral research. He has also been recognized as a gold medalist for securing the top position in his postgraduate program in mathematics. His consistent academic achievements and success in competitive examinations highlight his strong analytical skills and deep subject understanding. These accolades reflect his commitment to academic excellence and his potential to contribute significantly to the advancement of mathematical research and education.

Research Skills

Deepak Kumar Mahanta possesses a diverse range of research skills, particularly in nonlinear analysis, variational methods, and the study of partial differential equations. His expertise includes working on Schrödinger-Kirchhoff equations, singular and exponential nonlinearities, Trudinger-Moser type inequalities, and anisotropic elliptic systems. He has experience in applying advanced mathematical techniques such as the fibering method and Nehari manifold approach to establish existence and multiplicity results. His work involves both independent problem-solving and collaborative research with international and national experts, leading to publications in respected journals. His proficiency in exploring complex mathematical models underlines his ability to address challenging research problems effectively.

Notable Publications

On (p,n)-Laplace Schrödinger equations with Stein-Weiss convolution parts in Rn
Author: Deepak Kumar Mahanta; Patrick Winkert
Journal: Applied Mathematics Letters
Year: 2026

On coupled nonlocal Schrödinger–Kirchhoff system with singular exponential nonlinearity in RN
Author: Deepak Mahanta; Tuhina Mukherjee; Thin Nguyen
Journal: Electronic Journal of Qualitative Theory of Differential Equations
Year: 2025

Existence and multiplicity of solutions for a class of quasilinear anisotropic elliptic systems via fibering method
Author: Deepak Kumar Mahanta
Journal: The Journal of Analysis
Year: 2025

Degenerate Schrödinger-Kirchhoff (p,N)-Laplacian problem with singular Trudinger-Moser nonlinearity in ℝ^N
Author: Deepak Kumar Mahanta; Tuhina Mukherjee; Abhishek Sarkar
Journal: Forum Mathematicum
Year: 2024

Conclusion

Deepak Kumar Mahanta exemplifies a blend of academic excellence, research innovation, and teaching competence. His educational foundation, research contributions, and professional activities underscore his dedication to advancing mathematical sciences. By engaging in rigorous studies, producing impactful publications, and participating in academic events, he continues to enhance his expertise and contribute to the global research community. His achievements in both theoretical and applied mathematics position him as a promising scholar with the capability to address complex mathematical challenges, inspire students, and foster academic growth. His career trajectory reflects a commitment to knowledge, collaboration, and scholarly excellence.

Mathematics

Posted on by Indian Scientist

Mathematics

Mathematics:

Introduction of Mathematics:

Mathematics research is the foundation of all scientific and technological advancements, providing the tools and theories that underpin our understanding of the natural world and our ability to solve complex problems. It is a versatile and dynamic field that touches upon every branch of science and engineering, as well as applications in economics, computer science, and more.

Here are five suitable subtopics in Mathematics:

  1. Pure Mathematics: Pure mathematics, also known as theoretical mathematics, explores abstract concepts and theories. Subfields include number theory, abstract algebra, and topology, which provide the fundamental principles and structures for other branches of mathematics.
  2. Applied Mathematics: Applied mathematics involves the practical application of mathematical methods to solve real-world problems. Researchers in this area develop mathematical models, algorithms, and simulations for fields like physics, engineering, and economics.
  3. Statistics and Data Analysis: Statistics focuses on the collection, analysis, interpretation, and presentation of data. Researchers in this subfield develop statistical methods and models to draw meaningful insights from data, making it essential for scientific research, business, and policy-making.
  4. Mathematical Logic and Foundations: Mathematical logic explores the formal underpinnings of mathematical reasoning, including topics like set theory and proof theory. Researchers in this area contribute to the rigorous development of mathematical systems.
  5. Computational Mathematics: Computational mathematics involves the development of numerical algorithms and computational techniques for solving mathematical problems. This subfield plays a crucial role in simulations, scientific computing, and optimization.

Mathematics research is at the heart of scientific discovery and technological innovation. Mathematicians work on problems that range from the abstract and theoretical to the practical and applied, providing the mathematical tools necessary to address the challenges of our increasingly complex world.

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