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Dr Lesley Ward 

Position: Senior Lecturer Dr Lesley Ward
Division/Portfolio: Division of Information Technology, Engineering and the Environment
School/Unit: School of Information Technology and Mathematical Sciences
Campus: Mawson Lakes Campus
Office: OC1-19
Telephone: +61 8 830 23038
Fax: +61 8 830 25785
Email: Lesley_dot_Ward_at_unisa_dot_edu_dot_au
URL for Business Card: http://people.unisa.edu.au/Lesley.Ward

2006--present: Senior Lecturer, School of Mathematics and Statistics, UniSA.

2003--2006: Associate Professor, Harvey Mudd College, Claremont, California, USA.

1997--2003: Assistant Professor, Harvey Mudd College, Claremont, California, USA.

1995: Postdoctoral Fellow, Mathematical Sciences Research Institute (MSRI), Berkeley, California, USA. Spring semester.

1994--1997: G.C. Evans Instructor of Mathematics, Rice University, Houston, Texas, USA.

Selected awards and distinctions

2014: Co-organiser, Special Session in Harmonic Analysis and PDEs, 8th Australia--New Zealand Mathematics Convention, incorporating the 58th Annual Meeting of the Australian Mathematical Society and the 2014 New Zealand Mathematics Colloquium, University of Melbourne, 8--12 Dec.

2014: Co-organiser, The AMSI/AustMS 2014 Workshop in Harmonic Analysis and its Applications, Macquarie University, 21--25 Jul 2014.

2013: Senior Visiting Fellow, IPAM, UCLA, Program on Interactions between Analysis and Geometry. March.

2009: Visiting Researcher, Department of Mathematics, Brown University, USA. Oct--Dec.

2009: Visiting Researcher, Departamento de Matematica, Pontificia Universidade Catolica do Rio de Janeiro (PUC-RIO), Brazil. Aug--Oct.

2008--2009: Chair of Local Organising Committee, Member of Programme Committee, and Treasurer, 53rd Annual Conference of the Australian Mathematical Society, held 28 Sep--1 Oct 2009, City West Campus, UniSA. Jan 2008--June 2009

2006: Mathematical Association of America (MAA) Henry L. Alder Award for Distinguished Teaching by a Beginning College or University Mathematics Faculty Member. One of three awarded in the US and Canada.

2006: My former department (Department of Mathematics, Harvey Mudd College) was awarded the inaugural American Mathematical Society (AMS) Award for an Exemplary Program or Achievement in a Mathematics Department. All departments of mathematical sciences in the US and Canada that offer at least a bachelor's degree in mathematical sciences are eligible.

2004: WEIS Visiting Fellowship for a Senior Academic Woman in Engineering and Information Sciences, National Institute of Engineering and Information Sciences (NIEIS), Australian National University.

2004: Taught short course (9 lectures) with Cristina Pereyra on Harmonic Analysis: From Fourier to Haar, IAS/Princeton Program for Women in Mathematics, Analysis and Nonlinear PDEs, Institute for Advanced Study, Princeton, New Jersey. May.

2003: Taught short course (14 lectures) on Wavelets, IAS/Park City Mathematics Institute, Harmonic Analysis and Partial Differential Equations, Park City, Utah. July.

1995: Postdoctoral Fellowship, Mathematical Sciences Research Institute (MSRI), Berkeley, California, Program in Complex Dynamics and Hyperbolic Geometry.

1991--1992: Yale Prize Teaching Fellowship. Awarded for `excellence in performance as a Teaching Fellow', to eight PhD students chosen from all departments at Yale University.

1986: Tillyard Prize, Australian National University. Awarded to the student whose personal qualities and contribution to University life have been outstanding and who in the year of the award has completed a Degree of Bachelor with Honours.

1986: Hanna Neumann Prize, Australian National University.

Teaching interests

  • differential equations, linear algebra, calculus
  • engineering mathematics
  • real analysis, complex analysis
  • mathematical communication
  • Mathematics Clinic

  • Teaching Awards:

    2014 UniSA Indigenous Education Teaching Award, ITEE Indigenous Content Team

    2012 UniSA Supported Teacher Award

    2011 UniSA Supported Teacher Award

    2008 UniSA Enhancing Learning Award, Division of ITEE First Year Experience Team

    2006 Mathematical Association of America Alder Award for Distinguished Teaching

    1993 Yale Prize Teaching Fellowship

I teach the following courses

MATH 1005Honours Mathematical Studies 2
MATH 3021Mathematics Clinic 1
MATH 3034Advanced Mathematics Clinic
MATH 3031Complex Analysis
MATH 2024Mathematical Communication
MATH 1055Calculus 2
MATH 1056Linear Algebra
MATH 2009Engineering Modelling
MATH 1063Mathematical Methods for Engineers 1
MATH 1064Mathematical Methods for Engineers 2
MATH 1048Engineering Mathematics 1
MATH 3022Mathematics Clinic 2
(This course is not currently being taught)
MATH 2025Real and Complex Analysis
(This course is not currently being taught)

Professional associations

Elected Member, Executive Committee, AustMS Women in Mathematics Special Interest Group, 2013--2015

Chair of Local Organising Committee, Member of Programme Committee, and Treasurer, Jan 2008--June 2009, for the Australian Mathematical Society's 53rd Annual Meeting, held at UniSA, 2009.

Member, Australian Mathematical Society (AustMS)

Member, Australia and New Zealand Applied and Industrial Mathematics Division of the Australian Mathematical Society (ANZIAM)

Member, American Mathematical Society (AMS)

Member, Mathematical Association of America (MAA)

Member, Women in Mathematics Special Interest Group of the Australian Mathematical Society (WIMSIG)

Member, Association for Women in Mathematics (AWM)

Member, Women in Science Enquiry Network (WISENET)


Ph.D. in mathematics, Yale University, 1994

M.Phil. in mathematics, Yale University, 1992

M.Sc. in mathematics, Yale University, 1989

B.Sc.(Hons) in pure mathematics, Australian National University, 1987

Research interests

  • Harmonic analysis, complex analysis, Internet search algorithms, industrial mathematics
  • Research collaborations with: Ariel Barton (Univ. of Minnesota), Peng Chen (Univ. of Bordeaux), Xuan Thinh Duong (Macquarie Univ.), Ayman Farahat (PriceWaterhouseCoopers), Yongsheng Han (Auburn University), Peter Jones (Yale Univ.), Ji Li (Macquarie Univ.), Tom LoFaro (Gustavus Adolphus College), Gaven Martin (Massey Univ.), Joel Miller (Cambridge Univ.), Cristina Pereyra (Univ. of New Mexico), Jill Pipher (Brown Univ.), Greg Rae (Google), Fred Schaefer (Oregon State Univ.), Marie Snipes (Kenyon College), Susan Staples (Texas Christian Univ.), Byron Walden (Santa Clara Univ.), Xiao Xiao (Brown Univ.), Lixin Yan (Sun Yat-sen Univ.)

Research publications


Peng Chen, Xuan Thinh Duong, Ji Li, Lesley A. Ward, and Lixin Yan, Marcinkiewicz-type multipliers on Hardy and Lebesgue spaces on product spaces of homogeneous type. Submitted 2013. 33 pages.

Yongsheng Han, Ji Li and Lesley A. Ward, Hardy space theory on spaces of homogeneous type via orthonormal wavelet bases. Submitted 2014. 50 pages.

Adrian Grantham, Peter Pudney, Martin Belusko, Lesley A. Ward and John Boland, Synthetically generated five-minute solar irradiance data. Submitted 2014. 20 pages.


M. Cristina Pereyra and Lesley A. Ward, Harmonic Analysis: From Fourier to Wavelets, American Mathematical Society, Providence, RI, USA, Student Mathematical Library Series, IAS/Park City Mathematical Subseries, Volume 63, 2012, 410 pages.


Ji Li, Jill Pipher and Lesley A. Ward, Dyadic structure theorems for multiparameter function spaces. Revista Matematica Iberoamericana, in press. Accepted 12 Nov 2013. 32 pages.

Ariel Barton and Lesley A. Ward, A new class of harmonic measure distribution functions. Journal of Geometric Analysis, Vol 24 (2014), No. 4, pp.2035--2071. Also published online 29 March 2013.

Peng Chen, Ji Li and Lesley A. Ward, BMO from dyadic BMO via expectations on product spaces of homogeneous type. Journal of Functional Analysis, Vol 265 (2013), No. 10, pp.2420--2451.

Ji Li and Lesley A. Ward, Singular integrals on Carleson measure spaces CMOp on product spaces of homogeneous type. Proc. Amer. Math. Soc., Vol 141 (2013), No. 8, pp.2767--2782.

Jill Pipher, Lesley A. Ward and Xiao Xiao, Geometric-arithmetic averaging of dyadic weights. Rev. Mat. Iberoamericana, Vol 27 (2011), No. 3, pp.953--976.

Marie A. Snipes and Lesley A. Ward, Convergence properties of harmonic measure distribution functions for planar domains. Complex Variables and Elliptic Equations, Vol. 53 (2008), pp.897--913.

Jill Pipher and Lesley A. Ward, BMO from dyadic BMO on the bidisc. J. London Math. Soc. Vol. 77 (2008), pp.524--544.

Byron L. Walden and Lesley A. Ward, A harmonic measure interpretation of the arithmetic-geometric mean. Amer. Math. Monthly Vol. 114, No. 7, 2007, pp.610--622.

Ayman Farahat, Thomas LoFaro, Joel C. Miller, Gregory Rae and Lesley A. Ward, Authority rankings from HITS, PageRank, and SALSA: Existence, uniqueness, and effect of initialization. SIAM Journal on Scientific Computing (SISC) Vol. 27, No. 4, 2006, pp.1181--1201.

Marie A. Snipes and Lesley A. Ward, Realising step functions as harmonic measure distributions of planar domains. Ann. Acad. Sci. Fenn. Math. Vol. 30, 2005, pp.353--360.

Lesley A. Ward, Translation averages of dyadic weights are not always good weights. Rev. Mat. Iberoamericana Vol. 18, No. 2, 2002, pp.379--407.

Byron L. Walden and Lesley A. Ward, Asymptotic behaviour of distributions of harmonic measure for planar domains. Complex Variables: Theory and Applications, Vol. 46, 2001, pp.157--177.

Peter W. Jones and Lesley A. Ward, Fuchsian groups, quasiconformal groups, and conical limit sets. Trans. Amer. Math. Soc. Vol. 352, 2000, pp.311--362.

Susan G. Staples and Lesley A. Ward, Quasisymmetrically thick sets. Ann. Acad. Sci. Fenn. Ser. A I Math., Vol. 23 (1998), pp.151--168.

M. Cristina Pereyra and Lesley A. Ward, Paraexponentials, Muckenhoupt weights, and resolvents of paraproducts. Proc. Amer. Math. Soc., Vol. 126, 1998, pp.135--144.


Donna Chapman, David Sambell, Lesley A. Ward and Vanessa Wong, The value to the electricity market and the electricity network of photovoltaic generation. 3rd International Solar Energy Society Conference 2008 (ISES-AP 2008). Electronic conference proceedings, ISBN 978-0-646-50593-0. Refereed conference paper. 11 pages.

Ayman Farahat, Thomas LoFaro, Joel C. Miller, Gregory Rae, Fred Schaefer and Lesley A. Ward, Modifications of Kleinberg's HITS algorithm, using matrix exponentiation and web log records. Proceedings of the ACM SIGIR2001 Conference, New Orleans, September 2001, pp.444--445.

Byron L. Walden and Lesley A. Ward, Distributions of harmonic measure for planar domains. Proceedings of the 16th Nevanlinna Colloquium, Joensuu, Finland, 1995. Eds. Laine and Martio, Walter de Gruyter & Co., 1996, pp.289--299.


Gaven J. Martin and Lesley A. Ward, On the conical limit set of a complex hyperbolic group. Mathematics Research Report No. MRR 046-95, Centre for Mathematics and its Applications, ANU, Canberra, 1995. 26 pages.


Mathematics Clinic Reports, UniSA

Erika Belchamber, Elizabeth Bradford, Ajini Galapitage, Stephanie Mills, Thi Thien (Trang) Nguyen and Andrew Sargent (students), Lesley A. Ward (Academic Supervisor), and Amie Albrecht (Academic Consultant), The Vehicle Fleet Mix Problem for the Australian Army. Midyear Report to the Defence Science and Technology Organisation (DSTO), 2014. 42 pages.

Donna Chapman, David Sambell and Vanessa Wong (students), Lesley A. Ward (Academic Supervisor), and John Boland (Academic Consultant), The value to the electricity market and the electricity network of generation from photovoltaic solar cells. Final Report to the South Australian Electricity Supply Industry Planning Council (ESIPC), 2007. 139 pages plus CD with software.

ESIPC UniSA Mathematics Clinic 2007 Final Report (23 MB)

Posted with the kind permission of AEMO, the successor organisation to ESIPC.

Mathematics Clinic Reports, Harvey Mudd College

Lesley A. Ward (Faculty Advisor), E. Bodine, D.F. Gleich, C.M. Kurata and J.A. Kwan (students), Three methods for improving relevance ordering for web search. Final report to Overture Services, Inc., 2003. 94 pages plus CD with software.

Lesley A. Ward, Jerzy Filar (Faculty Advisors), Henry Krieger (Faculty Consultant), E. Kajita, J.M. Lindsay, S. Markstrum and J. Okano (students), Optimizing dynamic online surveys. Final report to Fair, Isaac and Co., Inc., 2002. 127 pages plus CD with software.

Lesley A. Ward (Faculty Advisor), Mary Williams (Faculty Consultant), T. Jensen, C. McLeman, J. Lyon and B. Tysinger (students), Automatic threshold settings for quantitative Polymerase Chain Reaction. Final report to Applied Biosystems, Inc., 2001. 62 pages plus CD with software.

Lesley A. Ward (Faculty Advisor), Thomas LoFaro (Faculty Consultant), J. Miller, G. Rae and F. Schaefer (students), Link Analysis. Final report to HNC Software, Inc., 2000. 73 pages.


United States Patent #7,856,324: Adrian Jensen, Justin Lyon, Cameron McLeman, Brian Tysinger and Lesley A. Ward, Automatic Threshold Setting for Quantitative Polymerase Chain Reaction, filed 23 May 2003, awarded Dec 2010. 33 pages.


2012--2014: ARC Discovery Project ARC-DP120100399, Harmonic Analysis: Function spaces and singular integral operators, $270,000.
Lesley A. Ward, Xuan Thinh Duong, Jill Pipher, Michael Lacey

2008: UniSA New Appointee Start-up Grant, Division of Information Technology, Engineering and the Environment, Multiparameter Fourier analysis: Function spaces and their dyadic counterparts, $10,000. Lesley A. Ward

2004--2007: NSF Infrastructure Grant DMS0408300, Harvey Mudd College Mathematics Conference Series, US$26,481.
Principal Investigator: Lesley A. Ward. Co-Principal Investigator: Michael Orrison

2001--2004: NSF Infrastructure Grant DMS0122313, NSF/AWM Travel Grants for Women in the Mathematical Sciences, US$219,373.
Principal Investigator: Suzanne Lenhart. Co-Principal Investigators: Bozenna Pasik-Duncan, Beverly Diamond, Lesley A. Ward

Expertise for Media Contact

I am able to provide media comment in the following areas of expertise:

Discipline: Mathematics

  • Mathematical Analysis
  • Women in Mathematics, Science and Engineering

Research Degree Supervisor

I am interested in supervising PhD and Masters students in harmonic analysis, complex analysis, singular values of adjacency matrices of graphs, industrial applications of mathematics, and other areas of mathematics.

My undergraduate research students have gone on to PhD programmes at Cambridge, Michigan, Chicago, Boston University and UniSA, and Masters programmes at Columbia and UC Irvine.

PhD thesis in progress, UniSA

2013--present: Adrian Grantham, 100% renewable energy for Australia's national electricity market. (Principal supervisor: John Boland. Co-supervisors: Martin Belusko, Peter Pudney, Lesley Ward)

PhD thesis, Brown University, USA

2011: Xiao Xiao, Geometric-arithmetic averaging of dyadic weights, and multiparameter harmonic analysis. (Principal supervisor: Jill Pipher. Co-supervisor: Lesley Ward, 2009--2010)

Honours thesis, UniSA

2007: Andrew Plumridge, Eigenvalues of symmetrised exponentiated adjacency matrices of diamond graphs, 61 pages.

US national awards for my students:

2004: Ariel Barton, the US Association for Women in Mathematics (AWM) Schafer Prize for Excellence in Mathematics by an Undergraduate Woman (Honorable Mention).

2001: David Uminsky, the Richard V. Andree Best Paper Prize from the Pi Mu Epsilon Journal of undergraduate research in mathematics.

Senior theses, Harvey Mudd College

2006: Tracy Powell, The singular values of the exponentiated adjacency matrices of broom-tree graphs, 55 pages.

2004: Ariel Barton, Conditions on harmonic measure distribution functions of planar domains, 87 pages.

2003: Steve Haas, The Hausdorff dimension of the Julia set of polynomials of the form zd + c, 36 pages.

2002: Dan Boylan, Translation averaging and functions of vanishing mean oscillation, 36 pages.

2000: Otto Cortez, Harmonic measure distribution functions on planar regions, 67 pages.

1999: Marie Snipes, Brownian motion and the shape of a region's boundary, 42 pages.

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