Muhammad Nasir | Mathematics | Innovative Research Award

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Innovative Research Award

Muhammad Nasir
Abdus Salam School of Mathematical Sciences, GC University, Pakistan

Muhammad Nasir
Affiliation Abdus Salam School of Mathematical Sciences GC University
Country Pakistan
Google Scholar ID B3Sk0WgAAAAJ
Documents 2
Citations 15
h-index 2
Subject Area Mathematics
Event Global Innovation Technologist Awards

Muhammad Nasir is a mathematics researcher affiliated with the Abdus Salam School of Mathematical Sciences, GC University, Pakistan. His research primarily investigates harmonic analysis, singular integral operators, Bessel–Riesz operators, and variable exponent Lebesgue spaces. His recent publications demonstrate continuing contributions toward the theoretical understanding of boundedness properties for integral operators in generalized function spaces, an area with relevance to modern mathematical analysis and applied sciences.[1]

Abstract

Muhammad Nasir’s research focuses on functional analysis and harmonic analysis, emphasizing boundedness properties of singular and Bessel–Riesz operators in variable exponent Lebesgue spaces. His publications contribute to the mathematical foundations required for studying generalized integral operators, providing theoretical results applicable to partial differential equations, approximation theory, and related analytical disciplines.[2]

Keywords

Mathematics, Harmonic Analysis, Variable Exponent Spaces, Singular Integral Operators, Bessel–Riesz Operators, Functional Analysis, Lebesgue Spaces.

Introduction

Modern mathematical analysis increasingly relies on generalized function spaces to solve complex analytical problems. Muhammad Nasir has contributed to this field through studies examining the boundedness of integral operators under variable exponent settings. His collaborative publications extend existing mathematical theories while strengthening analytical frameworks that support future theoretical investigations.[3]

Research Profile

  • Research Area: Mathematics
  • Documents: 2
  • Citations: 15
  • h-index: 2

Research Contributions

His research investigates boundedness criteria for singular integral operators, Bessel–Riesz operators, and generalized kernels in variable exponent spaces. These studies improve mathematical understanding of operator theory while expanding analytical techniques used in functional analysis. Several recent papers published in international journals further demonstrate continued engagement with contemporary mathematical challenges.[4]

Publications

  • Boundedness of Singular Integral Operator in Variable Exponent Lebesgue Spaces (Mathematics, 2026).
  • Variable-order Bessel–Riesz Operators and Their Boundedness on Variable Lebesgue Spaces (AIMS Mathematics, 2026).
  • Boundedness of Bessel–Riesz Operators in Variable Lebesgue Measure Spaces (Mathematics, 2025).
  • Bessel–Riesz Operators in Variable Lebesgue Spaces (Axioms, 2025).
  • Boundedness of Integral Operator of Generalized Bessel–Riesz Kernel in Variable Exponent Function Spaces (Mathematics, 2026).

Research Impact

Available scholarly metrics indicate growing academic visibility with peer-reviewed publications, documented citations, and an h-index reflecting emerging influence. The research contributes to the mathematical literature concerning operator theory and generalized function spaces while supporting ongoing developments in advanced harmonic analysis.[5]

Award Suitability

Based on the available publication record and demonstrated research focus, Muhammad Nasir presents a scholarly profile aligned with the objectives of the Global Innovation Technologist Awards. His investigations into variable exponent analysis, combined with publications in recognized international journals, illustrate sustained academic productivity and meaningful contributions to mathematical sciences.[5]

Conclusion

Muhammad Nasir continues to develop theoretical mathematics through studies of integral operators and generalized Lebesgue spaces. His collaborative publications, citation record, and specialized expertise indicate an active contribution to contemporary mathematical analysis. These achievements support recognition within academic award programs emphasizing innovation, scholarly quality, and research excellence.

References

  1. Elsevier. Scopus Author Details: Muhammad Nasir.
    https://scholar.google.com/citations?hl=en&user=B3Sk0WgAAAAJ
  2. Nasir, M., & Alshammari, F. S. (2026). Boundedness of Singular Integral Operator in Variable Exponent Lebesgue Spaces.
    https://doi.org/10.3390/math14142558
  3. Nasir, M., & Ghobber, S. (2026). Variable-order Bessel–Riesz Operators.
    https://doi.org/10.3934/math.2026735
  4. Nasir, M., et al. (2025). Boundedness of Bessel–Riesz Operators in Variable Lebesgue Measure Spaces.
    https://doi.org/10.3390/math13030410
  5. Nasir, M., et al. (2025). Bessel–Riesz Operators in Variable Lebesgue Spaces.
    https://doi.org/10.3390/axioms14060429
  6. Raza, A., Alshammari, F. S., & Nasir, M. (2026). Generalized Bessel–Riesz Kernel in Variable Exponent Function Spaces.
    https://doi.org/10.3390/math14111922

Nataša Djurdjević | Mathematics | Best Researcher Award

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Best Researcher Award

Nataša Djurdjević
University of Belgrade – Faculty of Agriculture

Nataša Djurdjević
Affiliation University of Belgrade – Faculty of Agriculture
Country Serbia
Scopus ID 58717994600
Documents 4
Citations 15
h-index 2
Subject Area Mathematics
Event Global Innovation Technologist Awards
ORCID 0000-0002-0885-4735

Nataša Djurdjević is a Serbian mathematician and researcher affiliated with the University of Belgrade – Faculty of Agriculture. Her scholarly work primarily focuses on differential geometry, CR submanifolds, and nearly Kähler manifolds, particularly the geometric structures associated with the manifold S3×S3. Through peer-reviewed journal articles and conference contributions, she has contributed to advancing theoretical understanding within modern geometry and mathematical structures.[1] Her academic publications demonstrate sustained engagement with advanced geometric classifications and submanifold theory.[2]

Abstract

This article presents an overview of the academic contributions and scholarly recognition of Nataša Djurdjević in the field of mathematics. Her research activities are centered on differential geometry and the study of CR submanifolds in homogeneous nearly Kähler manifolds. Through analytical classification methods and theoretical investigations, her publications have contributed to the broader understanding of geometric structures and manifold theory in contemporary mathematics.[3]

Keywords

Differential Geometry, CR Submanifolds, Nearly Kähler Manifolds, Mathematical Structures, Geometry Research, S3×S3, Mathematical Classification, Topological Analysis

Introduction

Mathematics remains a foundational discipline in scientific advancement, particularly in the areas of geometry and theoretical analysis. Researchers working in manifold theory and differential geometry contribute significantly to the development of abstract mathematical frameworks used across scientific disciplines. Nataša Djurdjević has participated in this academic field through specialized studies on CR submanifolds and nearly Kähler geometry, producing research that addresses classification problems and geometric properties of higher-dimensional manifolds.[4]

Research Profile

Djurdjević’s research profile reflects active scholarly participation in peer-reviewed mathematical research. Her studies frequently examine geometric structures within homogeneous nearly Kähler manifolds and related CR submanifold classifications. Her work has been indexed through Scopus and ORCID platforms, providing international academic visibility and accessibility for researchers in geometry and topology.[1]

Research Contributions

  • Contributed to the classification of four-dimensional CR submanifolds in homogeneous nearly Kähler manifolds.
  • Published analytical studies related to almost complex distributions and geometric orthogonality.
  • Investigated umbilical sections and structural properties within S3×S3 manifolds.
  • Presented conference research focused on CR submanifold products and manifold geometry.

Publications

  • “Four-Dimensional CR Submanifolds of the Homogeneous Nearly Kähler Product Manifold S3×S3” — Mathematics (2026).
  • “Classification of Four-Dimensional CR Submanifolds of the Homogenous Nearly Kähler S3×S3” — Mathematics (2025).
  • “Some classes of CR submanifolds with an umbilical section of the nearly Kähler S3×S3” — Journal of Geometry and Physics (2021).
  • “Three-dimensional CR submanifolds of the nearly Kähler S3×S3” — Annali di Matematica Pura ed Applicata (2019).

Research Impact

The research contributions of Nataša Djurdjević support the advancement of theoretical mathematics, particularly within the specialized field of geometric manifold analysis. Her work contributes to the academic dialogue surrounding CR submanifolds and nearly Kähler geometry, offering classification frameworks and analytical methods relevant to future mathematical investigations.[5] Citation records and indexed publications further indicate scholarly engagement within the mathematical research community.[2]

Award Suitability

The Best Researcher Award recognition under the Global Innovation Technologist Awards acknowledges sustained scholarly contributions, publication quality, and subject-specific research engagement. Djurdjević’s work in advanced geometry, combined with peer-reviewed publications and international indexing visibility, aligns with the evaluation criteria commonly associated with academic distinction and emerging research excellence in mathematics.[6]

Conclusion

Nataša Djurdjević has established an academic profile centered on differential geometry and CR submanifold theory. Her research publications and conference contributions demonstrate focused engagement with geometric analysis and manifold classification. Through continued scholarly activity and indexed research dissemination, her work contributes to ongoing developments in mathematical sciences and theoretical geometry.

References

  1. Elsevier. (n.d.). Scopus author details: Nataša Djurdjević, Author ID 58717994600. Scopus.
    www.scopus.com/authid/detail.uri?authorId=58717994600
  2. ORCID. (n.d.). Nataša Djurdjević researcher profile and scholarly records.
    orcid.org/0000-0002-0885-4735
  3. Djurdjević, N. (2026). Four-Dimensional CR Submanifolds of the Homogeneous Nearly Kähler Product Manifold S3×S3. Mathematics.
    doi.org/10.3390/math14111790
  4. Djurdjević, N. (2025). Classification of Four-Dimensional CR Submanifolds of the Homogenous Nearly Kähler S3×S3. Mathematics.
    doi.org/10.3390/math13162638
  5. Djurdjević, N. (2021). Some classes of CR submanifolds with an umbilical section of the nearly Kähler S3×S3. Journal of Geometry and Physics.
    doi.org/10.1016/j.geomphys.2020.104002
  6. Djurdjević, N. (2019). Three-dimensional CR submanifolds of the nearly Kähler S3×S3. Annali di Matematica Pura ed Applicata.
    doi.org/10.1007/s10231-018-0770-8

Azharuddin Shaik | Number Theory | Best Researcher Award

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Mr. Azharuddin Shaik | Number Theory | Best Researcher Award

PhD Scholar at Indian Institute of Information Technology Guwahati, India

Shaik Azharuddin is a promising young mathematician with deep expertise in hypergeometric and Appell series across finite fields, complex numbers, and pp-adic settings. Currently pursuing his Ph.D. at IIIT Guwahati under Dr. Gautam Kalita, his research explores intricate connections between special functions, algebraic curves (notably elliptic curves), and modular forms. Azharuddin’s scholarly output includes multiple high-impact publications in internationally reputed journals such as The Ramanujan Journal, Research in Number Theory, Finite Fields and Their Applications, and Journal of Mathematical Analysis and Applications. He has also actively participated in major mathematical conferences and international workshops, further enhancing his academic profile.

Publication Profile 

Google Scholar

Educational Background 🎓

  • Ph.D. in Mathematics
    Indian Institute of Information Technology (IIIT) Guwahati, India
    (August 2021 – Present)
    Supervisor: Dr. Gautam Kalita
    Thesis: Hypergeometric and Appell series over finite fields and in pp-adic settings; and their connections to algebraic curves.

  • M.Sc. in Mathematics
    University of Mysore, Mysore, India
    (August 2017 – May 2019)

  • Integrated B.Sc.Ed. in Mathematics, Physics, and Chemistry
    Regional Institute of Education, Mysore, India
    (August 2013 – July 2017)

Professional Experience 💼

  • Ph.D. Research Scholar
    Department of Mathematics, IIIT Guwahati
    (2021 – Present)
    Focused on advanced research in number theory, specifically special functions over various fields and their algebraic and geometric implications.

Research Interests 🔬

  • Hypergeometric and Appell series over:

    • Complex numbers

    • Finite fields

    • pp-adic numbers

  • Connections of these series to:

    • Algebraic curves (especially elliptic curves)

    • Modular forms

  • Transformations, summation identities, and trace formulas in arithmetic geometry and number theory.

Awards and Honors🏆✨

  • CSIR-UGC JRF Qualification — Cleared in June 2020, recognizing academic excellence and research potential in mathematical sciences.

  • Indirect Recognition — His co-authored paper in Finite Fields and Their Applications contributed to Dr. Gautam Kalita receiving the A.K. Agarwal Best Publication of the Year 2024 by the Society for Special Functions and their Applications.

Conclusion🌟

Shaik Azharuddin demonstrates significant promise in the field of pure mathematics, particularly number theory and arithmetic geometry. His rigorous academic training, productive research output, and active engagement with international conferences and workshops position him as a rising scholar. With several publications in high-quality journals and a research focus aligned with contemporary mathematical challenges, he is well-prepared to contribute to both academia and collaborative research environments. As he nears the completion of his Ph.D., his profile reflects readiness for advanced research positions or postdoctoral opportunities globally.

Publications 📚

  1. 🧮 A family of algebraic curves and Appell series over finite fields
    ✍️ S. Azharuddin, G. Kalita
    📰 The Ramanujan Journal, Vol. 64(3), pp. 823–834
    📅 2024 | 🔗 Cited by: 3

  2. 🔄 Transformations for Appell series over finite fields and traces of Frobenius for elliptic curves
    ✍️ G. Kalita, S. Azharuddin
    📰 Finite Fields and Their Applications, Vol. 92, Article ID: 102301
    📅 2023 | 🔗 Cited by: 3

  3. 🔢 F₄-Appell series in p-adic settings and their connections to algebraic curves
    ✍️ S. Azharuddin, G. Kalita
    📰 Journal of Mathematical Analysis and Applications, Article ID: 129601
    📅 2025 | 📌 Status: Published

  4. ➕ A summation transformation formula for Gaussian hypergeometric series and twisted Kloosterman sheaf sums
    ✍️ G. Kalita, S. Azharuddin, F. Sayed
    📰 Research in Number Theory, Vol. 11(1), Article 22
    📅 2025 | 📌 Status: Published

  5. 🧠 A transformation and certain special values of hypergeometric series over finite fields
    ✍️ G. Kalita, S. Azharuddin
    📰 The Ramanujan Journal, Vol. 66(33), pp. 1–15
    📅 2025 | 📌 Status: Published