Dr Mumtaz Hussain

Dr Mumtaz Hussain

Lecturer

School of Mathematical and Physical Sciences

Career Summary

Biography

I graduated from the University of York with expertise in analytical number theory. My research interests mainly centres around Diophantine approximation and its applications.

I am interested in teaching across a variety of cohorts, from students who struggle in service courses to those who aspire to a future in research. I am also interested in research led teaching for postgraduate level courses.


For more information see my personal webpage https://carma.newcastle.edu.au/mumtaz/


Qualifications

  • Doctor of Philosophy, University of York (UK)
  • Master of Philosophy, Quaid-i-Azam University - Pakistan

Keywords

  • Hausdorff dimension
  • Hausdorff measure
  • analytical number theory
  • dynamical systems
  • metric Diophantine approximation

Languages

  • English (Fluent)

Fields of Research

Code Description Percentage
010101 Algebra and Number Theory 90
010204 Dynamical Systems in Applications 10

Professional Experience

UON Appointment

Title Organisation / Department
Lecturer University of Newcastle
School of Mathematical and Physical Sciences
Australia

Academic appointment

Dates Title Organisation / Department
1/08/2013 -  Associate Lecturer University of Newcastle
School of Mathematical and Physical Sciences
Australia
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Publications

For publications that are currently unpublished or in-press, details are shown in italics.


Journal article (9 outputs)

Year Citation Altmetrics Link
2015 Hussain M, 'A Jarnik type theorem for planar curves: everything about the parabola', MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 159 47-60 (2015)
DOI 10.1017/S0305004115000195
2014 Hussain M, Yusupova T, 'A note on the weighted Khintchine-Groshev Theorem', JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 26 385-397 (2014) [C1]
2013 Hussain M, Levesley J, 'The metrical theory of simultaneously small linear forms.', Functiones et Approximatio Commentarii Mathematici, 48 167-181 (2013)
2013 Hussain M, Yusupova T, 'On weighted inhomogeneous Diophantine approximation on planar curves', Mathematical Proceedings of the Cambridge Philosophical Society, 154 225-241 (2013) [C1]

This paper develops the metric theory of simultaneous inhomogeneous Diophantine approximation on a planar curve with respect to multiple approximating functions. Our results natur... [more]

This paper develops the metric theory of simultaneous inhomogeneous Diophantine approximation on a planar curve with respect to multiple approximating functions. Our results naturally generalize the homogeneous Lebesgue measure and Hausdorff dimension results for the sets of simultaneously well-approximable points on planar curves, established in Badziahin and Levesley (Glasg. Math. J., 49(2):367-375, 2007), Beresnevich et al. (Ann. of Math. (2), 166(2):367-426, 2007), Beresnevich and Velani (Math. Ann., 337(4):769-796, 2007) and Vaughan and Velani (Invent. Math., 166(1):103-124, 2006). Copyright © Cambridge Philosophical Society 2012.

DOI 10.1017/S0305004112000497
Citations Scopus - 1
2013 Hussain M, Kristensen S, 'Badly approximable systems of linear forms in absolute value', Uniform Distribution Theory, 8 7-15 (2013) [C1]
2013 Dickinson D, Hussain M, 'The metric theory of mixed type linear forms', International Journal of Number Theory, 9 77-90 (2013) [C1]

In this paper the metric theory of Diophantine approximation of linear forms that are of mixed type is investigated. Khintchine-Groshev theorems are established together with the ... [more]

In this paper the metric theory of Diophantine approximation of linear forms that are of mixed type is investigated. Khintchine-Groshev theorems are established together with the Hausdorff measure generalizations. The latter includes the original dimension results obtained in [H. Dickinson, The Hausdorff dimension of sets arising in metric Diophantine approximation, Acta Arith. 68(2) (1994) 133-140] as special cases. © 2013 World Scientific Publishing Company.

DOI 10.1142/S1793042112501278
Citations Scopus - 1
2013 Hussain M, Kristensen S, 'Metrical results on systems of small linear forms', International Journal of Number Theory, 9 769-782 (2013) [C1]
DOI 10.1142/S1793042112501606
Citations Scopus - 3
2011 Hussain M, 'A note on badly approximable linear forms', Bulletin of the Australian Mathematical Society, 83 262-266 (2011) [C1]
DOI 10.1017/S0004972710002005
Citations Scopus - 1
2010 Hussain M, Shabir M, 'On fully fuzzy idempotent near-rings,', Southeast Asian Bull. of Math., 34 959-970 (2010)
Show 6 more journal articles
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Grants and Funding

Summary

Number of grants 3
Total funding $9,733

Click on a grant title below to expand the full details for that specific grant.


20152 grants / $5,013

Faculty Visiting Fellowship 2015$3,193

Funding body: Faculty of Science and Information Technology,The University of Newcastle

Funding body Faculty of Science and Information Technology,The University of Newcastle
Project Team
Scheme MID-CAREER RESEARCHER GRANT SCHEME
Role Lead
Funding Start 2015
Funding Finish 2015
GNo
Type Of Funding Internal
Category INTE
UON N

Early Career Academic Networking Grant$1,820

Funding body: Faculty of Science and Information Technology,The University of Newcastle

Funding body Faculty of Science and Information Technology,The University of Newcastle
Project Team
Scheme Research Small Grant
Role Lead
Funding Start 2015
Funding Finish 2015
GNo
Type Of Funding Internal
Category INTE
UON N

20141 grants / $4,720

Faculty Visiting Fellowship 2014$4,720

Funding body: University of Newcastle - Faculty of Science & IT

Funding body University of Newcastle - Faculty of Science & IT
Project Team Doctor Mumtaz Hussain
Scheme Visiting Fellowship
Role Lead
Funding Start 2014
Funding Finish 2014
GNo G1401051
Type Of Funding Internal
Category INTE
UON Y
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Dr Mumtaz Hussain

Position

Lecturer
School of Mathematical and Physical Sciences
Faculty of Science and Information Technology

Contact Details

Email mumtaz.hussain@newcastle.edu.au
Phone (02) 4921 6168

Office

Room V-229
Building School of Mathematical and Physical Sciences
Location Callaghan
University Drive
Callaghan, NSW 2308
Australia
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