Dr Mumtaz Hussain

Dr Mumtaz Hussain

Lecturer

School of Mathematical and Physical Sciences

Career Summary

Biography

I graduated from the University of York  2010 under supervision of Professor Sanju Velani with expertise in analytical number theory. My research interests mainly centres around Diophantine approximation and its applications.

I have taught at various institutions in Pakistan, England and Australia. 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

  • Analytic
  • Analytical Number Theory
  • Dynamical Systems
  • Ergodic Theory
  • Hausdorff Dimension
  • Metric Diophantine Approximation

Languages

  • English (Fluent)
  • Punjabi (Mother)
  • Urdu (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

Teaching

Code Course Role Duration
MATH2420 Engineering Mathematics
Faculty of Science and Information Technology,The University of Newcastle
Lecturer & Coordinator 27/07/2015 - 6/11/2015
MATH3242 Complex Analysis
Faculty of Science and Information Technology,The University of Newcastle
Lecturer & Coordinator 27/07/2015 - 6/11/2015
MATH1001 Preparatory Studies in Mathematics
Faculty of Science and Information Technology,The University of Newcastle
Lecturer & Coordinator 23/02/2015 - 5/06/2015
MATH2420 Engineering Mathematics
Faculty of Science and Information Technology,The University of Newcastle
Lecturer & Coordinator 28/07/2014 - 7/11/2014
MATH102 Calculus II
Comsats Institute of Information Technology
Lecturer 1/03/2004 - 31/05/2004
MATH105 Multivariable Calculus
Comsats Institute of Information Technology
Lecturer 1/09/2004 - 30/12/2004
MATH241 Ordinary Differential Equations
Comsats Institute of Information Technology
Lecturer 2/02/2005 - 30/04/2005
MATH231 Linear Algebra
Comsats Institute of Information Technology
Lecturer 2/02/2005 - 30/05/2005
MATH3242 Complex Analysis
Faculty of Science and Information Technology,The University of Newcastle
Lecturer & Coordinator 28/07/2014 - 7/11/2014
MATH1001 Preparatory Studies in Mathematics
Faculty of Science and Information Technology,The University of Newcastle
Lecturer 3/03/2014 - 13/06/2014
MAT1MAB Mathematical Application in Biology
La Trobe University
Lecturer & Demonstrator 30/07/2012 - 5/10/2012
MAT1MAB Mathematical Application in Biology
La Trobe University
Lecturer & Demonstrator 4/07/2011 - 7/10/2011
MATH2420 Engineering Mathematics
Faculty of Science and Information Technology,The University of Newcastle
Tutor 1/08/2013 - 31/10/2013
MAT2LAL Linear Algebra
La Trobe University
Demonstrator 30/07/2012 - 5/10/2012
MAT2LAL Linear Algebra
La Trobe University
Demonstrator 4/07/2011 - 7/10/2011
MAT2LAL Linear Algebra
La Trobe University
Demonstrator 5/07/2010 - 1/10/2010
MAT2VCA Vector Calculus
La Trobe University
Demonstrator 5/03/2012 - 29/06/2012
MAT05BM Bridging Course for Mathematics
La Trobe University
Lecturer 1/11/2010 - 28/01/2011
MAT1CPE Calculus and Probability for Engineers
La Trobe University
Lecturer and Demonstrator 1/03/2011 - 30/06/2011
MAT05BM Bridging Course for Mathematics
La Trobe University
Lecturer 1/11/2011 - 27/01/2012
0590305 Number Theory
University of York
Marking assistant and Demonstrator 15/01/2007 - 30/03/2007
0590305 Number Theory
University of York
Marking assistant and Demonstrator 5/01/2009 - 27/03/2009
0520002 Probability theory II
University of York
Marking assistant and Demonstrator 9/04/2007 - 15/06/2007
0590014 Linear Algebra
University of York
Marking assistant and Demonstrator 24/09/2007 - 7/12/2007
0590014 Linear Algebra
University of York
Marking assistant and Demonstrator 28/09/2009 - 4/12/2009
0590032 Introduction to Probability Theory I
University of York
Marking assistant and Demonstrator 14/04/2008 - 14/06/2008
0590020 Statistical Theory II
University of York
Marking assistant and Demonstrator 29/09/2008 - 5/12/2008
0590015 Statistical Theory I
University of York
Marking assistant and Demonstrator 28/09/2009 - 4/12/2009
0590016 Complex Analysis
University of York
Marking assistant and Demonstrator 4/01/2010 - 12/03/2010
0500006 Calculus II
University of York
Marking assistant and Demonstrator 7/01/2008 - 14/03/2008
STA1LS Statistics for Life Sciences
La Trobe University
Demonstrator 2/07/2012 - 5/10/2012
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Publications

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


Journal article (10 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) [C1]
DOI 10.1017/S0305004115000195
2015 Fischler S, Hussain M, Kristensen S, Levesley J, 'A converse to linear independence criteria, valid almost everywhere', RAMANUJAN JOURNAL, 38 513-528 (2015) [C1]
DOI 10.1007/s11139-014-9662-8
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]
Citations Web of Science - 1
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 - 2
2013 Hussain M, Kristensen S, 'Metrical results on systems of small linear forms', International Journal of Number Theory, 9 769-782 (2013) [C1]

In this paper the metric theory of Diophantine approximation associated with the small linear forms is investigated. Khintchine-Groshev theorems are established along with Hausdor... [more]

In this paper the metric theory of Diophantine approximation associated with the small linear forms is investigated. Khintchine-Groshev theorems are established along with Hausdorff measure generalization without the monotonic assumption on the approximation function. © 2013 World Scientific Publishing Company.

DOI 10.1142/S1793042112501606
Citations Scopus - 5
2011 Hussain M, 'A note on badly approximable linear forms', Bulletin of the Australian Mathematical Society, 83 262-266 (2011) [C1]

In this paper we investigate the analogue of the classical badly approximable setup in which the distance to the nearest integer ¿ · ¿ is replaced by the sup norm |·|. In the ... [more]

In this paper we investigate the analogue of the classical badly approximable setup in which the distance to the nearest integer ¿ · ¿ is replaced by the sup norm |·|. In the case of one linear form we prove that the hybrid badly approximable set is of full Hausdorff dimension. © Copyright Australian Mathematical Publishing Association Inc. 2011.

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 7 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
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
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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