Dr. M. I. M. Ishak
Senior Lecturer
B.Sc. (Peradeniya)
M.Sc. (USA)
Ph.D (USA)
Biography:
The second of the six children and born in 1975 December 26, in Gampola Sri Lanka. Studied in Gampola Zahira Collage and entered Faculty of Science University of Peradeniya in 1997. Did maths special and graduated in 2001. Became a lecturer in the department of Engineering Mathematics, Faculty of Engineering University of Peradeniya in 2002. Got married in 2004 and traveled to Kansas State University(USA) for graduate studies. Currently busy with entertaining three kids (Abdul Rahman, Abdul Azeez, and Abdul Malik), teaching mathematics and thinking of abelian heights.
Contact Information
Phone:
+94 (81) 239 3340
Office Location:
Department of Engineering Mathematics,
Faculty of Engineering,
University of Peradeniya,
20400, Sri Lanka.
Educational Qualifications:
Doctor of Philosophy in Mathematics (Number Theory)
Kansas State University, Kansas, USA, December 2009.
GPA: 3.852/4.00
Dissertation title: Lower bounds for heights in cyclotomic extensions and related problems.
Master of Science
Kansas State University, Kansas, USA, 2006. GPA: 3.875/4.00.
Bachelor of Science
University of Peradeniya, Peradeniya, Sri Lanka, 2001
(Mathematics Special, Second Class Honors, Upper Division).
Academic Appointments:
Senior Lecturer:
Department of Engineering Mathematics, Faculty of Engineering, University of Peradeniya, Peradeniya, Sri Lanka. (January 2010 – To date)
Coordinator, M.Sc. in Industrial Mathematics:
Post Graduate Institute of Science (PGIS) university of Peradeniya, Peradeniya, Sri Lanka.
(January 2014 – 2019)
Visiting Lecturer:
Faculty of Engineering Technology, Kandy Regional Center, Open University of Sri Lanka.
(November 2014 – August 2015)
Graduate Teaching Assistant:
Department of Mathematics, Kansas State University, Manhattan, KS 66506, USA.
(August 2004 – December 2009)
Lecturer Probationary:
Department of Engineering Mathematics, University of Peradeniya, Peradeniya, Sri Lanka.
(January 2002 – December 2009)
Areas of Research:
Mahler Measures of Polynomials
Heights of Algebraic Numbers
Number Fields
Number Theory (Algebraic and Analytic)
Analysis (Real and Complex)
Algebra
Publications:
V Thirumaran, JA Weliwita, MIM Ishak: An analysis of axial Couette flow in annular region of abruptly stopped pipes,Phys Sci Int J 17 (2018) 1-12. ISSN: 2348-0130
T. Cochrane, R Dissanayake, N. Donohoue, M. Ishak, V. Pigno, C. Pinner & C. Spencer: Minimal Mahler measure in real quadratic fields.(Submitted 2014: Experimental Mathematics)
J. Garza, M.I.M Ishak & C.G. Pinner: On the products of heights summing to real numbers. Acta Arith. 142 (2010), 51-58.
M.I.M Ishak, M. Mossinghoff, C.G. Pinner & B. Wiles: Lower bounds for heights in cyclotomic extensions. J. Number theory 130 (2010) 1408-1424.
J. Garza, M.I.M Ishak, M. Mossinghoff, C.G. Pinner & B. Wiles: Heights of roots of polynomials with odd coefficients. (J. Theorie des Nombres, Bordeaux)
Awards:
Research Experience and Postgraduate Supervision:
M.Sc. Student: Mr. N.A.C.P.K. Narasinghe, An exploratory factor analysis on reluctance of students selection of probability and statistics problem in GCE A/L: A case study in ampara educational zone, MSc in Science Education, Post Graduate Institute of Science, University of Peradeniya. (expected to finish 2025)
M.Sc. Student: Mrs. D.M.N.K Dissanayake, Effective teaching learning methods to inspire students to learn complex numbers: A case study in gampaha educational zone, MSc in Science Education, Post Graduate Institute of Science, University of Peradeniya. (2022)
M.Sc. Student: Mr. V. Thirumaran, A Theoretical and Analytical Study of Abruptly Stopped Axial Couette Flow in Annular Region, M.Sc. in Industrial Mathematics, Postgraduate Institute of Science, University of Peradeniya. (2018)
M.Sc. Student: Mr. R. L. Lokuhetti, Synchronization in the Multi-manufacturer Multi-Buyer Integrated Inventory Supply Chain, M.Sc. in Industrial Mathematics, Postgraduate Institute of Science, University of Peradeniya. (2018)
M.Sc. Student: Mr. R. L. Lokuhetti, Synchronization in the Multi-manufacturer Multi-Buyer Integrated Inventory Supply Chain, M.Sc. in Industrial Mathematics, Postgraduate Institute of Science, University of Peradeniya. (2018)
M.Sc. Student: Ms. S.B.M.A.U. Herath, Some Cosmological Models with the Inflationary Universe, M.Sc. in Industrial Mathematics, Postgraduate Institute of Science, University of Peradeniya. (2018)
M. Phil Student: Mrs. R. M. S. Dissanayake, Lehmer’s Conjecture and Minimal Mahler Measures of Algebraic Numbers, Department of Engineering Mathematics, Faculty of Engineering, University of Peradeniya. (2014)
Ph.D Thesis (2006-2009): Mahler measures of polynomials, and Heights of algebraic numbers in abelian extensions.
Appointments:
Member:
Board of Study in Mathematics (January 2014 – 2019) Post Graduate Institute of Science (PGIS), University of Peradeniya, Peradeniya, Sri Lanka.
Coordinator, M.Sc. in Industrial Mathematics:
Post Graduate Institute of Science (PGIS) university of Peradeniya, Peradeniya, Sri Lanka.
(January 2014 – 2019)
Visiting Fellowship:
September-November 2011, The Abdus Salam International Centre for Theoretical Physics (ICTP, Trieste Italy).
Participated at Arizona Winter School 2008:
Special Functions and Transcendence 15th to 19th March 2008.
EM1020:
Linear Algebra
EM1050:
Discrete Mathematics
EM312:
Fourier Analysis
EM505:
Complex Analysis