Staff profile

Dr Mumtaz Hussain

Honorary Research Fellow

Faculty of Science, Technology and Engineering

School of Engineering and Mathematical Sciences
Department of Mathematics and Statistics

Melbourne (Bundoora)

 

Qualifications

MSc, MPhil, PhD (York).

Area of study

Mathematics and Statistics

Brief profile

My research interests mainly centre around the quantitative study of density of rationals in irrationals. It is the branch of number theory termed as Metric Diophantine approximation. I also enjoy working on its interactions with dynamical systems.

Research specialisation

- Dynamical systems

Teaching units

MAT1CPE - Calculus and Probability theory.

MAT2LAL - Linear algebra.

MAT05BM - Bridging course in Mathematics.

Recent publications

  • S. Fischler, M. Hussain, S. Kristensen and J. Levesley. A converse to linear independence criteria, valid almost everywhere, in preparation.
  • M. Hussain and S. Kristensen. Metrical results on systems of small linear forms, Submitted, Pre-print: arXiv:1112.4667v1.
  • M. Hussain and S. Kristensen. Badly approximable systems of linear forms in absolute value, Submitted, Pre-print: arXiv:1111.5955v1.
  • D. Dickinson and M. Hussain. The metrical theory of mixed type simultaneously small linear forms, submitted.
  • M. Hussain. A note on badly approximable linear forms, Bull. Aust. Math. Soc.  83 (2011), 262--266.
  • M. Hussain and J. Levesley. The metrical theory of simultaneously small linear forms, to appear in Acta arithmetica.
  • M. Hussain and M. Shabir. On fully fuzzy idempotent near-rings, Southeast Asian Bull. of Math. 34 (2010), no. 5, 959-970.
  • M. Hussain, M. Shabir and R.S. Tariq. Fully fuzzy idempotent gamma near- rings, Int. J. Math. Anal. 3 (2006), no. 1, 19-37.
  • M. Hussain and M. Shabir. On fully idempotent gamma near-rings, ANIJMIT Vol. 3 (2006): 33-37.