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OUR TEAM

Dr. Muhammad Asim

Assistant Professor (Mathematics)

Introduction:

  • I am Dr. Muhammad Asim, an Assistant Professor in the NUTECH School of Applied Sciences and Humanities (NUSASH) at NUTECH University. With over 2 years of experience in both academia and the research, my primary research interests lie in Harmonic analysis and Dynamical System. Analysis within specific spaces such as , Sobolev spaces, Besov spaces, Hardy space, and Herz-Morrey spaces (with both variable exponents and constant exponents) plays a pivotal role in understanding harmonic functions and operators. My teaching philosophy emphasizes strong theory and practical skills for success in a changing tech world
  • Assistant Professor, NUSASH, (2024–Present)
    • Teach undergraduate courses in Computer Science and Engineering departments.
    • Serve as a faculty mentor for students.
  • Visiting Lecturer of Mathematics, Quaid I Azam university, Islamabad (2022–2024)
    • Teach undergraduate mathematics courses in different departments 
  • Visiting Lecturer of Mathematics, Pakistan Institute of Development Economics (PIDE), Islamabad (2022)
    • Teach Postgraduate mathematics courses.
  • Research Associate, Quaid I Azam university, Islamabad (2019–2022)
  • Research Associate out of HEC Research Project No. 7098/NRPU/R&D/HEC/2017-

 Title: On the continuity of some integral operators on function spaces.

Qualification 

  • Academia: 
    • Ph.D. in Mathematics, Quaid-i-Azam University Islamabad (2022)
    • M.Phil. in Mathematics, Quaid-i-Azam University Islamabad (2018)
    • M.Sc. in Mathematics, Quaid-i-Azam University Islamabad (2016)

I have published over seven peer-reviewed papers in top-tier journals and conference, such as the Journal of Journal of inequality and Application and the International Conference on Applied and Engineering Mathematics. I also serve as a reviewer for several prominent academic journals in Harmonic analysis.

Certifications:

  • Certified As Best Research Paper Award: International conference (ICEAM)

Certified As an Editorial Member: Bilques Post graduate college  for women   

Taught Courses   

have taught a variety of undergraduate, graduate-level course, and Postgraduate. Below are the courses I have been involved in teaching:

  • Mathematics II (MT002)
    An introductory course focusing basic mathematics, covering topics such as Functions, limits and Continuity, and Derivative.
  • Calculus and Analytic Geometry I
    A core course that covers Derivative and its Application, Integration and Its Application.
  • Calculus and Analytic Geometry II

A core course that covers Sequences and Series, Conic section, and Multivariable calculus.

  • Vector and complex Number 
    A course focused on the theory and application Vector Analysis and Complex Number.
  • Mathematical Method for Statistics 
    An advanced course that explores the techniques and algorithms used in Statistics by using mathematical tools.
  • Linear Algebra and Differential equations 
    This course focus on Linear Transformation, Matrices, Eigen Value and Eigen Vectors, and Solution Differential Models.
  • Quantities Reasoning 

This course focus on world’s Problems.

  • Basic Mathematics 

A simple course focus on the basic mathematics for Non engineering students enrolled in BS first semester

  • Advance  Mathematics 

An Advance course focus on the mathematics tools (Optimization and Algebra) use in Economics 

Research 

My primary research interests lie in Harmonic analysis and Dynamical System. Analysis within specific spaces such as , Sobolev spaces, Besov spaces, Hardy spaces, and Herz-Morrey spaces (with variable exponents and constant exponents) plays a pivotal role in understanding harmonic functions and operators. This analysis provides insights into boundedness, existence and uniqueness, regularity, and wavelet characterization.

  • Publications:
  • Title: Commutators of the Fractional Hardy Operator on Weighted Variable Herz-Morrey Spaces. 

                    Journal of Function Space., ID 9705250(2021), 10 pages.

 

  • Title: Weighted variable Morrey–Herz estimatesfor fractional Hardy operators. 

Journal of Inequalities and Applications, 2(2022) (2022) 12pp. 

 

  • Title: Variable 𝜆-Central Morrey Space Estimates for the Fractional HardyOperators and Commutators. 

Journal of Mathematics, ID 5855068(2022), 12 pages

 

  • Title: Weighted estimates for fractional bilinear Hardy operators on variable exponent Morrey–Herz space.

 Journal of Inequalities          and Applications, 11(2024) 2024, 19pp

 

  • Title: Some Variable Exponent Boundedness and Commutators Estimates for Fractional Rough Hardy Operators on Central Morrey Space.

Journal Commun.Fac.Sci.Univ.Ank.Ser. A1 Math. Stat. Volume 73, Number 3, Pages 1–18 (2024)

 

  • Title: Results for fractional bilinear Hardy operators in central varying exponent Morrey space.

AIMS Mathematics, 9(11): 29689–29706(2024).

 

  • Title: Conservation laws of dynamical system via differential variational of generalized Jourdianand Gauss principles. 

                   Journal IEEE (Conference paper)

Projects 

Research Associate out of HEC Research ProjectNo. 7098/NRPU/R&D/HEC/2017- 

Title : On the continuity of some integral operatorson function spaces.