Muhammad Nasir | Mathematics | Innovative Research Award

 

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

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

Latha Maheswari M | Mathematics | Best Researcher Award

Dr. Latha Maheswari M | Mathematics | Best Researcher Award

Associate Professor & Dean at PSG College of Arts & Science, India

Dr. M. Latha Maheswari is an Associate Professor & Dean at the School of Computational Mathematics, PSG College of Arts & Science, Coimbatore. She specializes in fractional differential equations, impulsive differential equations, delay differential equations, and stochastic differential equations. With over two decades of academic experience, she has guided Ph.D. and M.Phil. scholars, undertaken funded research projects, and contributed significantly to applied mathematics research.

Publication Profile 

Scopus

Orcid

Educational Background 🎓

  • Ph.D. (2014) – Bharathiar University, Coimbatore
  • M.Sc. (Yoga) (2020) – Bharathidasan University, Trichy
  • M.Phil. (1996) – Madurai Kamaraj University, Madurai
  • M.Sc. (1995) – Madurai Kamaraj University, Madurai
  • B.Sc. (1993) – Madurai Kamaraj University, Madurai
  • PGDCA (1997) – Madurai Kamaraj University, Madurai

Professional Experience 💼

  • Dean, School of Computational Mathematics (SF), PSG College of Arts & Science (Jan 2024 – Present)
  • Associate Professor & HoD, PSG College of Arts & Science (Dec 2016 – Dec 2023)
  • Assistant Professor, PSG College of Arts & Science (June 2005 – Nov 2016)
  • Lecturer, Sarojini Naidu Govt. Girls PG College, Bhopal (Jan 2002 – June 2004)
  • Teacher, Army Public School (Oct 1999 – Nov 2000)
  • Lecturer, Jayaraj Annapakiyam College for Women, Periyakulam (Jan 1998 – Apr 1998)

Research Interests 🔬

  • Fractional Differential Equations
  • Impulsive Differential Equations
  • Delay Differential Equations
  • Stochastic Differential Equations

She has guided 4 Ph.D. scholars (pursuing), 1 Ph.D. awarded, and 3 M.Phil. scholars graduated.

Awards and Honors🏆✨

  • University IV Rank in PG at Madurai Kamaraj University
  • Academic Excellence Award, PSG College of Arts & Science
  • PSG Best Teacher Award (2018), PSG College of Technology
  • Research Contribution Award (2022 & 2023), PSG College of Arts & Science

Memberships:

  • Indian Society of Industrial & Applied Mathematics
  • MathTech Thinking Foundation

Conclusion🌟

Dr. M. Latha Maheswari has made substantial contributions to applied mathematics, particularly in differential equations. Her leadership at PSG College of Arts & Science has been instrumental in research and academic development. Recognized with multiple awards, she remains dedicated to advancing knowledge in computational mathematics.

Publications 📚

1️⃣ A. Anguraj, M. Latha MaheswariExistence of solution of Fractional Quasilinear Impulsive differential equations
📖 Advanced in Theoretical and Applied Mathematics, 2011 🏷️ ISSN: 0973-4554


2️⃣ A. Anguraj, M. Latha MaheswariExistence of solutions for fractional impulsive neutral functional infinite delay integro differential equations with nonlocal conditions
📖 The Journal of Nonlinear Science and its Applications, 2012 🏷️ ISSN: 2008-1901


3️⃣ A. Anguraj, M. Latha MaheswariExistence results for fractional differential equations with infinite delay and interval impulsive conditions
📖 Malaya Journal of Matematik, 2014 🏷️ ISSN: 2321-5666


4️⃣ A. Anguraj, M. Latha MaheswariThe Existence and Uniqueness of solutions for nonlocal fractional differential equations with interval impulses
📖 National Journal of Technology, 2015 🏷️ ISSN: 0973-1334


5️⃣ A. Anguraj, M. Latha Maheswari, Y.K. ChangSolutions of a fractional functional integro differential equations with interval impulses and infinite delay
📖 Nonlinear Studies, 2015 🏷️ ISSN: 1359-8678


6️⃣ T. Tamil Selvan, M. Latha MaheswariExistence of solutions of nonlinear fractional impulsive delay integro differential equation of Sobolev type
📖 International Journal of Scientific and Research Publications, 2017 🏷️ ISSN: 2250-3153


7️⃣ M. Latha Maheswari, K. PandiyanUniqueness of solution for boundary value problems for fractional integro-differential equations
📖 European Journal of Molecular & Clinical Medicine, 2020 🏷️ ISSN: 2515-8260


8️⃣ M. Latha Maheswari, R. NandhiniExistence Results for Nonlocal Impulsive Fractional Neutral Functional Integro-Differential Equations with Bounded Delay
📖 Mathematics and Computing, Springer Proceedings in Mathematics and Statistics, March 2023


9️⃣ M. Latha Maheswari, K. S. Keerthana ShriOn a class of non-local boundary value problem for a -Hilfer non-linear fractional integro-differential equation
📖 Acta Mathematica Universitatis Comenianae, June 2023


🔟 M. Latha Maheswari, K. S. Keerthana ShriStability analysis for the Ψ-Hilfer non-linear Boundary Value Problem
📖 Nonlinear Studies, Volume 30, Issue 3, July 2023