Md. Nasim Akhtar

Assistant Professor

B.Sc., The University of Burdwan (2009)

M.Sc., Indian Institute of Technology Madras (2011)

PhD, Indian Institute of Technology Guwahati (2017)

My doctoral work at IIT Guwahati with Prof. M. Guru Prem Prasad collaboration with Prof. Maria A. Navascues, University of Zaragoza, Spain was on the estimation of fractal dimensions of certain fractal functions. After completing my PhD I was a visitor at ISI Chennai-Centre for a short period. Then I joined Aliah University as an Assistant Professor on 6th September, 2017 and was there until 31st July, 2018. I joined Presidency University as an Assistant Professor on 1st August, 2018.

My broad area of research is Fractals. In my Phd Thesis we have estimated fractal dimensions of certain fractal functions on a compact set. Now I am interested to investigate the local behaviour of the fractal function on a compact set.

At Presidency University

July-December, 2018

Algebra (1st year B.Sc.)

Calculus I (UG)

At Aliah University

July-December, 2017

Function of Real Variable I (2nd year B.Sc.)

Functions of Several Variables (3rd year B.Sc.)

Jan-June, 2018

Function of Real Variable II (2nd year B.Sc.)

Complex Analysis (1st year M.Sc.)

[1] Md. N. Akhtar, M. G. P. Prasad and M. A. Navascuess

     Fractal Jacobi systems and convergence of Fourier-Jacobi expansions of fractal functions

     Mediterr. J. Math., 13 (6), 1-21 (2016)

[2] M. G. P. Prasad and Md. N. Akhtar

     Fractal interpolation surfaces and perturbations on vertical scaling factors

     Int. J. Nonlinear Sci., 21 (1), 3-12 (2016)

[3] Md. N. Akhtar and M. G. P. Prasad

     Graph-directed coalescence hidden variable fractal interpolation functions

     Appl. Math., 7 (2016)

[4] Md. N. Akhtar, M. G. P. Prasad and M. A. Navascuess

     Box dimensions of α-fractal functions

     Fractals, 24 (3), 1650037 (2016)

[5 ] Md. N. Akhtar, M. G. P. Prasad and M. A. Navascues

     Box dimensions of α-fractal functions with function scale vector in subintervals

     Chaos, Solitons and Fractals, 103, 440-449 (2017)

[6] Md. N. Akhtar, M. G. P. Prasad and M. A. Navascues

     More general fractal functions on the sphere

     Mediterr. J. Math., 16:134  (2019)                                                               

[7] Md. N. Akhtar, M. G. P. Prasad and G. P. Kapoor

     Image compression using fractal multiwavelet transform

     J. Anal.  (2019)  

[8]  M. A. Navascues, R. N. Mohapatra and Md. N. Akhtar   

      Construction of fractal surfaces

      Fractals 28(2) 2050033 (2020)                                                                                     

[9]  M. A. Navascues, R. N. Mohapatra and Md. N. Akhtar

      Fractal frames of functions on the rectangle

      Fractal and fractional  5(2), 42 (2021)

[10] Md. N. Akhtar, M. G. P. Prasad, M. A. Navascues, and R. N. Mohapatra 

       New fractal functions on the sphere

      The European Physical Journal Special Topics (2021)