Associate Professor Lesley Ward 

Position:  Associate Professor  
Division/Portfolio:  Division of Information Technology, Engineering and the Environment  
School/Unit:  School of Information Technology and Mathematical Sciences  
Campus:  Mawson Lakes Campus  
Office:  OC119  
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 
2015present: Associate Professor of Mathematics, School of Information Technology and Mathematical Sciences, UniSA.
20062014: Senior Lecturer, School of Information Technology and Mathematical Sciences (until 2012 the School of Mathematics and Statistics), UniSA.
20032006: Associate Professor, Harvey Mudd College, Claremont, California, USA.
19972003: Assistant Professor, Harvey Mudd College, Claremont, California, USA.
1995: Postdoctoral Fellow, Mathematical Sciences Research Institute (MSRI), Berkeley, California, USA. Spring semester.
19941997: G.C. Evans Instructor of Mathematics, Rice University, Houston, Texas, USA.
Selected awards and distinctions
2015: Coorganiser, Indigenous Content in Education Symposium (ICES '15), University of South Australia, 21 Sep 2015.
2014: Coorganiser, Special Session in Harmonic Analysis and PDEs, 8th AustraliaNew Zealand Mathematics Convention, incorporating the 58th Annual Meeting of the Australian Mathematical Society and the 2014 New Zealand Mathematics Colloquium, University of Melbourne, 812 Dec.
2014: Coorganiser, Indigenous Content in STEM Symposium, Division of ITEE, UniSA, 26 Aug 2014.
2014: Coorganiser, The AMSI/AustMS 2014 Workshop in Harmonic Analysis and its Applications, Macquarie University, 2125 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. OctDec.
2009: Visiting Researcher, Departamento de Matematica, Pontificia Universidade Catolica do Rio de Janeiro (PUCRIO), Brazil. AugOct.
20082009: Chair of Local Organising Committee, Member of Programme Committee, and Treasurer, 53rd Annual Conference of the Australian Mathematical Society, held 28 Sep1 Oct 2009, UniSA. Jan 2008June 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.
19911992: 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 for Mathematics IV (Honours), Australian National University.
Teaching interests
 differential equations, linear algebra, calculus
 engineering mathematics
 real analysis, complex analysis
 mathematical communication
 Mathematics Clinic: yearlong sponsored research projects for teams of finalyear undergraduate mathematics students

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 1005  Honours Mathematical Studies 2 
MATH 3021  Mathematics Clinic 1 
MATH 3034  Advanced Mathematics Clinic 
MATH 3031  Complex Analysis 
MATH 2024  Mathematical Communication 
MATH 1055  Calculus 2 
MATH 1056  Linear Algebra 
MATH 2009  Engineering Modelling 
MATH 1063  Mathematical Methods for Engineers 1 
MATH 1064  Mathematical Methods for Engineers 2 
MATH 1048  Engineering Mathematics 1 
MATH 3022  Mathematics Clinic 2 (This course is not currently being taught) 
MATH 2025  Real and Complex Analysis (This course is not currently being taught) 
Professional associations
Chair, AustMS Women in Mathematics Special Interest Group (WIMSIG), 20152016
Member (and Chair for 2015), AustMS Fellowships Committee, 20142016
Member, AustMS Medal Committee, 2014
Member, Executive Committee, AustMS Women in Mathematics Special Interest Group (WIMSIG), 20132014
Chair of Local Organising Committee, Member of Programme Committee, and Treasurer, Jan 2008June 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)
Qualifications
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 Yatsen Univ.)
Research publications
SUBMITTED
Mingyi Lee, Ji Li, and Lesley A. Ward, Weakstar convergence in product Hardy spaces on spaces of homogeneous type. Submitted 2015. 15 pages.
Andrea Duff and Lesley A. Ward, Mathematics and Indigenous culture: Building awareness, competency and literacy in mathematics students. Submitted 2015. 11 pages.
Anna Kairema, Ji Li, M. Cristina Pereyra, and Lesley A. Ward, Haar bases on quasimetric measure spaces, and dyadic structure theorems for function spaces on product spaces of homogeneous type. Submitted 2015. 37 pages.
Adrian Grantham, Peter Pudney, Martin Belusko, Lesley A. Ward and John Boland, Synthetically generated fiveminute solar irradiance data. Submitted 2014. 20 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.
Peng Chen, Xuan Thinh Duong, Ji Li, Lesley A. Ward, and Lixin Yan, Marcinkiewicztype multipliers on Hardy and Lebesgue spaces on product spaces of homogeneous type. Submitted 2013. 33 pages.
BOOK
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, xxiv + 410 pages.
REFEREED JOURNAL ARTICLES
Peng Chen, Xuan Thinh Duong, Ji Li, Lesley A. Ward, and Lixin Yan, Product Hardy spaces associated to operators with heat kernel bounds on spaces of homogeneous type. Mathematische Zeitschrift, in press. Accepted 4 Oct 2015. 31 pages.
Ji Li, Jill Pipher and Lesley A. Ward, Dyadic structure theorems for multiparameter function spaces. Revista Matematica Iberoamericana, Vol 31 (2015), No. 3, pp.767797.
Ariel Barton and Lesley A. Ward, A new class of harmonic measure distribution functions. Journal of Geometric Analysis, Vol 24 (2014), No. 4, pp.20352071. 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.24202451.
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.27672782.
Jill Pipher, Lesley A. Ward and Xiao Xiao, Geometricarithmetic averaging of dyadic weights. Rev. Mat. Iberoamericana, Vol 27 (2011), No. 3, pp.953976.
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.897913.
Jill Pipher and Lesley A. Ward, BMO from dyadic BMO on the bidisc. J. London Math. Soc. Vol. 77 (2008), pp.524544.
Byron L. Walden and Lesley A. Ward, A harmonic measure interpretation of the arithmeticgeometric mean. Amer. Math. Monthly Vol. 114, No. 7, 2007, pp.610622.
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.11811201.
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.353360.
Lesley A. Ward, Translation averages of dyadic weights are not always good weights. Rev. Mat. Iberoamericana Vol. 18, No. 2, 2002, pp.379407.
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.157177.
Peter W. Jones and Lesley A. Ward, Fuchsian groups, quasiconformal groups, and conical limit sets. Trans. Amer. Math. Soc. Vol. 352, 2000, pp.311362.
Susan G. Staples and Lesley A. Ward, Quasisymmetrically thick sets. Ann. Acad. Sci. Fenn. Ser. A I Math., Vol. 23 (1998), pp.151168.
M. Cristina Pereyra and Lesley A. Ward, Paraexponentials, Muckenhoupt weights, and resolvents of paraproducts. Proc. Amer. Math. Soc., Vol. 126, 1998, pp.135144.
REFEREED CONFERENCE PROCEEDINGS
Amie R. Albrecht, Erika R. Belchamber, Elizabeth V. Bradford, Ajini H.N. Galapitage, Stephanie J. Mills, Trang T.T. Nguyen, Andrew M. Sargent, Kathryn E. Ward, Lesley A. Ward, and Peter B. Williams, Mathematical techniques to aid the Australian Army in selecting new defence vehicles. 21st International Congress on Modelling and Simulation (MODSIM 2015). Accepted 2 Oct 2015. 7 pages.
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 (ISESAP 2008). Electronic conference proceedings, ISBN 9780646505930. 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.444445.
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.289299.
TECHNICAL REPORT
Gaven J. Martin and Lesley A. Ward, On the conical limit set of a complex hyperbolic group. Mathematics Research Report No. MRR 04695, Centre for Mathematics and its Applications, ANU, Canberra, 1995. 26 pages.
REPORTS FROM RESEARCH PROJECTS SPONSORED BY INDUSTRY
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), Mathematical Techniques to Aid the Australian Army in Selecting New Defence Vehicles. Final Report to the Defence Science and Technology Organisation (DSTO), 2014. 110 pages plus CD with software.
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.
PATENT
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.
SELECTED RESEARCH GRANTS AND OTHER FUNDING
20122014: ARC Discovery Project ARCDP120100399, Harmonic Analysis: Function spaces and singular integral operators, $270,000.
Lesley A. Ward, Xuan Thinh Duong, Jill Pipher, Michael Lacey
2008: UniSA New Appointee Startup Grant, Division of Information Technology, Engineering and the Environment, Multiparameter Fourier analysis: Function spaces and their dyadic counterparts, $10,000. Lesley A. Ward
20042007: NSF Infrastructure Grant DMS0408300, Harvey Mudd College Mathematics Conference Series, US$26,481.
Principal Investigator: Lesley A. Ward. CoPrincipal Investigator: Michael Orrison
20012004: NSF Infrastructure Grant DMS0122313, NSF/AWM Travel Grants for Women in the Mathematical Sciences, US$219,373.
Principal Investigator: Suzanne Lenhart. CoPrincipal Investigators: Bozenna PasikDuncan, 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
2013present: Adrian Grantham, 100% renewable energy for Australia's national electricity market. (Principal supervisor: John Boland. Cosupervisors: Martin Belusko, Peter Pudney, Lesley Ward)
Honours theses in progress, UniSA
2014: Stephanie Mills. Averaging of dyadic and triadic doubling weight functions in harmonic analysis.
2014: Trang Nguyen.
PhD thesis, Brown University, USA
2011: Xiao Xiao, Geometricarithmetic averaging of dyadic weights, and multiparameter harmonic analysis. (Principal supervisor: Jill Pipher. Cosupervisor: Lesley Ward, 20092010)
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 broomtree 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 z^{d} + 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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