Special Sessions and General Contributions


  1. Hopf Algebras and Quantum Groups
  2. Computability Theory
  3. Infinite-Dimensional Groups and their Actions
  4. New Trends in Spectral Analysis and PDE
  5. Dynamical Systems and Ergodic Theory
  6. Special Functions and Orthogonal Polynomials
  7. Matroids, Graphs, and Complexity
  8. Quantum Topology
  9. History and Philosophy of Mathematics
  10. Group Theory, Actions and Computation
  11. Integrability of Continuous and Discrete Evolution Systems
  12. Water-Wave Scattering Focusing on Wave-Ice Interactions
  13. Dynamics and Control of Systems: Theory and Applications to Biomedicine
  14. Geometric Numerical Integration
  15. University Mathematics Education
  16. General Contributions


  1. Hopf Algebras and Quantum Groups

    Organisers: Susan Montgomery, Yinhuo Zhang.

    Abstracts

    Timetable

    Keynote addresses:

    • Susan Montgomery (University of Southern California, USA)
    • David Radford (University of Chicago, USA)
    • Fred Van Oystaeyen (University of Antwerp, Belgium)

    Confirmed speakers:

    • Aaron Armour (Victoria University of Wellington, NZ)
    • Stef Caenepeel (Free University of Brussels, Belgium)
    • Juan Cuadra-Diaz (University of Almeria, Spain)
    • Miodrag Iovanov (SUNY Buffalo, USA/University of Bucharest, Romania)
    • Yevgenia Kashina (DePaul University, Chicago, USA)
    • Akira Masuoka (University of Tsukuba, Japan)
    • Siu-Hung Ng (Iowa State University, USA)
    • Yorck Sommerhäeuser (University of Munich, Germany)
    • Blas Torrecilass (University of Almeria, Spain)
    • Shouchuan Zhang (Hunan University, China)

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  2. Computability Theory

    Organisers: Rod Downey, Noam Greenberg, Theodore Slaman

    Abstracts

    Timetable

    Confirmed speakers:

    • George Barmpalias (Victoria University of Wellington, NZ)
    • Paul Brodhead (University of Florida, USA)
    • Cris Calude (University of Auckland, NZ)
    • Chi Tat Chong (National University of Singapore)
    • Barbara Csima (University of Waterloo, Canada)
    • Qi Feng (National University of Singapore/Chinese Academy of Sciences)
    • Johanna Franklin (National University of Singapore)
    • Noam Greenberg (Victoria University of Wellington, NZ)
    • Denis Hirschfeldt (University of Chicago, USA)
    • Carl Jockusch (University of Illinois at Urbana-Champaign, USA)
    • Bakhadyr Khoussainov (University of Auckland, NZ and Cornell University, USA)
    • Bjorn Kjos-Hanssen (University of Hawaii, USA)
    • Antonio Montalban (University of Chicago, USA)
    • Keng Meng Ng (Victoria University of Wellington, NZ)
    • Andre Nies (University of Auckland, NZ)
    • Jan Reimann (University of California Berkeley, USA)
    • Ludwig Staiger (Martin-Luther-Universität Halle-Wittenberg, Germany)
    • Frank Stephan (National University of Singapore)
    • Hugh Woodin (University of California Berkeley, USA)
    • Guohua Wu (Nanyang University of Technology, Singapore)

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  3. Infinite-dimensional groups and their actions

    Organisers: Christopher Atkin, Greg Hjorth, Alica Miller, Vladimir Pestov

    The last 50 years have seen an increasing role of numerous concrete topological groups of importance that are non-locally compact. Such groups are habitually referred to as "large", "massive" or "infinite-dimensional". Examples include groups of diffeomorphisms and homeomorphisms of manifolds, groups of automorphisms of measure spaces, unitary groups of operator algebras, infinite symmetric groups, groups of automorphisms of various structures such as Boolean algebras, etc. Some of these groups have a structure of infinite-dimensional Lie groups in one or other sense, others don't. Some of them admit quasi-invariant measures on homogeneous factor spaces and have in consequence non-trivial unitary representations, others don't. Research directions include: theory of Polish group actions, connections with logic and descriptive set theory and model theory, representation theory of large groups, infinite-dimensional Lie group theory, topological dynamics and topological transformation groups.

    Abstracts

    Timetable

    Confirmed speakers:

    • Christopher Atkin (Victoria University of Wellington, NZ)
    • Anthony Dooley (University of New South Wales, Australia)
    • Inessa Epstein (University of California, Los Angeles, USA)
    • Stefano Ferri (Universidad de los Andes, Colombia)
    • Hendrik Grundling (University of New South Wales, Australia)
    • Sidney A. Morris (University of Ballarat, Australia)
    • Vladimir Pestov (University of Ottawa, Canada)
    • Christian Rosendal (University of Illinois at Urbana-Champaign, USA)
    • Todor Tsankov (California Institute of Technology, USA)
    • Lionel Nguyen Van Thé (University of Calgary, Canada)
    • Yevhen Zelenyuk (Wits University, South Africa)

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  4. New Trends in Spectral Analysis and PDE

    Organisers: Boris Belinskiy, Anjan Biswas, Boris Pavlov

    This special session is devoted to aspects of the modern Spectral Theory, including the Dirichlet-to-Neumann map, and its applications. We would like to bring together specialists in Spectral Analysis, including mathematical methods and physical applications. The topics include, but are not limited to, Inverse Problems, Spectral Approximation Theory, Random Waves, Linear and Nonlinear Wave Propagation (including applications to various physical phenomena such as Fluid Dynamics and Oceanography, Plasma Physics, Nonlinear Optics, and others), Nanoelectronics and Quantum Engineering.

    Abstracts

    Timetable

    Keynote addresses:

    • Jochen Brüning (Humboldt-Universität zu Berlin, Germany)
    • Colin Fox (University of Auckland, NZ)

    Confirmed speakers:

    • Sergei Avdonin (University of Alaska, USA)
    • Boris Belinskiy (University of Tennessee Chattanooga, USA)
    • Anjan Biswas (Delaware State University, USA)
    • Annalisa Calini (College of Charleston, USA)
    • W. Desmond Evans (Cardiff University, UK)
    • Florina Halasan (University of British Columbia, Canada)
    • Yulia Karpeshina (University of Alabama, USA)
    • Felipe Leitner (University of Stuttgart, Germany/University of Auckland, NZ)
    • Stephen McDowall (Western Washington University, USA)
    • Boris Pavlov (University of Auckland, NZ)
    • Georgi Raikov (Pontificia Universdidad Catolica de Chile, Chile)
    • Gunter Stolz (University of Alabama Birmingham, USA)
    • Graeme Wake (Massey University, New Zealand)
    • David Wall (University of Canterbury, New Zealand)

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  5. Dynamical Systems and Ergodic Theory

    Organisers: Arno Berger , Rua Murray, Matt Nicol

    Abstracts

    Timetable

    Confirmed speakers:

    • Boris Baeumer (Otago University, NZ)
    • Mathias Beiglböck (TU Vienna, Austria)
    • Arno Berger (Canterbury University, NZ)
    • Keith Burns (Northwestern University, USA)
    • Dmitry Dolgopyat (University of Maryland, USA)
    • Anthony Dooley (University of New South Wales, Australia)
    • Gary Froyland (University of New South Wales, Australia)
    • Wenzhi Luo (Ohio State University, USA)
    • Ian Melbourne (University of Surrey, UK)
    • Rua Murray (University of Canterbury, NZ)
    • Matt Nicol (University of Houston, USA)
    • Anthony Quas (University of Victoria, Canada)
    • Luchezar Stoyanov (University of Western Australia, Australia)
    • Martin Wechselberger (University of Sydney, Australia)
    • Alistair Windsor (University of Texas/Memphis, USA)
    • Reinhard Winkler (TU Vienna, Austria)
    • Ilze Ziedins (University of Auckland, NZ)

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  6. Special Functions and Orthogonal Polynomials

    Organisers: Diego Dominici, Ole Warnaar, Shaun Cooper

    Special functions and orthogonal polynomials are an area of active research with many applications in physics, computer science and engineering. They play a fundamental role in deriving asymptotic expansions and solving boundary value problems. Their long history goes back to the works of giants such as Euler, Gauss, Legendre and Riemann. In recent years, the field has been extensively enriched by the large amount of activity devoted to q-analogs of the classical special functions and orthogonal polynomials. These so-called q-series have applications in physics, Lie algebras, number theory, combinatorics, etc. We believe that a session on special functions and orthogonal polynomials will be of great interest to many mathematicians and scientists from different fields - theoretical physicists, computational algebra specialists, etc.

    Abstracts

    Timetable

    Keynote addresses:

    • Mourad Ismail (University of Central Florida, USA)
    • Ernie Kalnins (University of Waikato, NZ)
    • Dennis Stanton (University of Minnesota Minneapolis, USA)
    • Walter Van Assche (Katholieke Universiteit Leuven, Belgium)

    Confirmed speakers:

    • Richard Askey (University of Wisconsin-Madison, USA)
    • Ross Barnett (University of Waikato, NZ)
    • Bruce Berndt (University of Illinois at Urbana-Champaign, USA)
    • Kevin Broughan (University of Waikato, NZ)
    • Song Heng Chan (Nanyang Technological University, Singapore)
    • Edmund Y. M. Chiang (Hong Kong University of Science & Technology)
    • Wenchang Chu (Università degli Studi di Lecce, Italy)
    • Howard Cohl (University of Auckland, NZ)
    • Diego Dominici (SUNY New Paltz, USA)
    • Michael Hirschhorn (University of New South Wales, Australia)
    • Andrea Laforgia (Università di Roma Tre, Italy)
    • Heung Yeung Lam (Massey University, NZ)
    • Michael Schlosser (Universität Wien, Austria)
    • A. Sri Ranga (Universide Estadual Paulista, Campus de S.J. Rio Preto, Brazil)
    • Garry Tee (University of Auckland, NZ)
    • Tom ter Elst (University of Auckland, NZ)
    • Pee Choon Toh (National University of Singapore)
    • Shayne Waldron (University of Auckland, NZ)
    • Ole Warnaar (University of Melbourne, Australia)
    • Norman Wildberger (University of New South Wales, Australia)
    • Nicholas Witte (University of Melbourne, Australia)

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  7. Matroids, Graphs, and Complexity

    Organisers: Dillon Mayhew, James Oxley

    Matroids were introduced by Whitney in the 1930's to unify the concepts of dependence in linear algebra and in graph theory. They still serve as a point of intersection for many diverse areas of combinatorics, including graph polynomials, combinatorial optimisation, and the study of structural rigidity. A major area of current research in combinatorics involves extending the results of the Graph Minors Project of Robertson and Seymour to matroids. This proposed session will feature speakers who work in areas of discrete mathematics related to matroids and their applications, including the leading figures in the Graph Minors Project.

    Abstracts

    Timetable

    Keynote addresses (tbc):

    • Maria Chudnovsky (Columbia University, USA)
    • Henry Crapo (L'Ecole des Haute Etudes en Sciences Sociales, France)
    • Jim Geelen (University of Waterloo, Canada)
    • Isidoro Gitler (Centro de Investigacion y de Estudios Avanzados, Mexico)
    • Joseph Kung (University of North Texas, USA)
    • Neil Robertson (Ohio State University, USA)
    • Paul Seymour (Princeton Unversity, USA)

    Confirmed speakers:

    • Thomas Britz (University of New South Wales, Australia)
    • Carolyn Chun (Louisiana State University, USA)
    • Gary Gordon (Lafayette College, USA)
    • Rhiannon Hall (Brunel University, UK)
    • Petr Hlineny (Masaryk University, Czech Republic)
    • Peter Humphries (University of Canterbury, NZ)
    • Charles Little (Massey University, NZ)
    • Dillon Mayhew (Victoria University of Wellington, NZ)
    • Gordon Royle (University of Western Australia, Australia)

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  8. Quantum Topology

    Organisers: David Gauld, Scott Morrison

    Abstracts

    Timetable

    Confirmed speakers:

    • Mike Freedman (Microsoft Station Q, USA) (keynote)
    • Vaughan Jones (University of California at Berkeley, USA)
    • David Gauld (University of Auckland, NZ)
    • Andrew Kricker (Nanyang Technological University, Singapore) (keynote)
    • Scott Morrison (Microsoft Station Q, USA)
    • Noah Snyder (University of California at Berkeley, USA)
    • Christopher Tuffley (Massey University, NZ)
    • Shona Yu (University of Sydney, Australia)

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  9. History and Philosophy of Mathematics

    Organisers: James Tattersall, Ken Pledger, Clemency Montelle

    Abstracts

    Timetable

    Confirmed speakers:

    • Douglas Bridges (University of Canterbury, NZ)
    • Bruce Burdick (Roger Williams University, USA)
    • Philip Catton (University of Canterbury, NZ)
    • Larry D'Antonio (Ramapo College of New Jersey, USA)
    • Hannes Diener (University of Canterbury, NZ)
    • Hardy Grant (York University, Canada)
    • John Hannah (University of Canterbury, NZ)
    • Iris Loeb (University of Canterbury, NZ)
    • Clemency Montelle (University of Canterbury, NZ)
    • Kim Plofker (Mathematics Institute, University of Utrecht, Netherlands)
    • Bronwyn Rideout (University of Canterbury, NZ)
    • Jim Tattersall (Providence College, USA)
    • Paul Wolfson (West Chester University, USA)

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  10. Group Theory, Actions and Computation

    Organisers: Marston Conder, Russell Blyth

    This session will cover a range of topics in group theory and its applications, with particular focus on group actions (on graphs, maps, surfaces, curves, complexes and other spaces), and the development and use of techniques from combinatorial and computational group theory.

    Abstracts

    Timetable

    Confirmed speakers:

    • Russell Blyth (St Louis University, USA)
    • Antonio Breda d'Azevedo (University of Aveiro, Portugal)
    • Ruth Charney (Brandeis University, USA)
    • Marston Conder (University of Auckland, NZ)
    • Ben Fine (Fairfield University, USA)
    • Michael Jackson (Grove City College, USA)
    • Gareth Jones (University of Southampton, UK)
    • Jin Ho Kwak (Pohang University of Science and Technology, Korea )
    • Arturo Magidin (University of Louisiana Lafayette, USA)
    • Tomaz Pisanski (University of Ljubljana, Slovenia)
    • Gerhard Rosenberger (University of Dortmund, Germany)
    • Gunter Steinke (University of Canterbury, NZ)

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  11. Integrability of Continuous and Discrete Evolution Systems

    Organisers: Mark Hickman, Willy Hereman

    In this session, aspects of the integrability of continuous and discrete systems will be addressed. Connections between integrability and the separation of variables as well as Hamiltonian structures will be presented. In addition, the development and applications of symbolic algorithms and software to the computation of conservation laws and to various modelling situations will be discussed.

    Abstracts

    Timetable

    Confirmed speakers:

    • Willy Hereman (Colorado School of Mines, USA)
    • Mark Hickman (University of Canterbury, NZ)
    • Ernie Kalnins (University of Waikato, NZ)
    • Gerrard Liddell (University of Otago, NZ)
    • Reinout Quispel (La Trobe University, Australia)

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  12. Water-Wave Scattering Focusing on Wave-Ice Interactions

    Organisers: Michael Meylan, Malte Peter

    Water-wave scattering has always been of great importance in ocean engineering, e.g. scattering by ships or off-shore platforms, and many sophisticated mathematical techniques have been developed. Recently, significant progress on understanding wave scattering by sea ice has been made, using the mathematical techniques developed for ocean engineering. Sea ice researchers have also developed new techniques, required by the flexible structure of sea ice. Interestingly, this flexibility also appears in large floating structures, such as floating runways, and some of the methods developed initially for sea ice have found application in ocean engineering.

    The session will be open to researchers studying any aspect of water-wave scattering. However, the focus will be on mathematical methods which lie at the crossover between application to ocean engineering and to sea ice geophysics.

    Abstracts

    Timetable

    Confirmed speakers:

    • Luke Bennetts (University of Otago, NZ)
    • Alison Kohout (University of Auckland, NZ)
    • Mike Meylan (University of Auckland, NZ)
    • Malte Peter (University of Auckland, NZ)
    • Gareth Vaughan (University of Otago, NZ)

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  13. Dynamics and Control of Systems: Theory and Applications to Biomedicine

    Organisers: Ami Radunskaya, James Sneyd, Urszula Ledzewicz, Heinz Schaettler

    This session brings together researchers from various subject areas in Mathematics that work on the formulation and analysis of mathematical models arising in biomedical problems. Mathematically the methods range from dynamical systems theory to optimization and optimal control covering both deterministic and stochastic processes. The analysis presented will include both advanced tools from dynamical systems and Lie-algebra based methods in geometric optimal control.

    There will be some focus on mathematical models for the dynamics of diseases under various treatment approaches. This will include the treatment of cancer using traditional methods (like chemotherapy and radiotherapy), with an emphasis on novel treatment approaches (such as immunotherapy and anti-angiogenic treatments) and their relation with standard medical approaches, both as a stand alone approach and in combination therapies. A second focus area addresses genetic models for signaling pathways which form the fundamental genetic regulatory systems that govern the processes on a molecular level inside any living cell.

    Abstracts

    Timetable

    Confirmed speakers:

    • Alona Ben-Tal (Massey University, NZ)
    • Lisette dePillis (Harvey Mudd College, USA)
    • Robert Donnelly (Pomona College USA)
    • Wen Duan (University of Auckland, NZ)
    • Scott Graybill (University of Canterbury, NZ)
    • Emily Harvey (University of Auckland, NZ)
    • Peter Hinow (Vanderbilt University, Nashville TN, USA)
    • Matthias Kawski (Arizona State University, USA)
    • Carlo Laing (Massey University, NZ)
    • Urszula Ledzewicz (Southern Illinois University Edwardsville, USA)
    • Dann Mallett (Queensland University of Technology, Australia)
    • Helmut Maurer (Universität Munster, Germany)
    • Annette Molinaro (Yale University, USA)
    • Michael Plank (University of Canterbury, NZ)
    • Ami Radunskaya (Pomona College USA)
    • Heinz Schaettler (Washington University in St. Louis, USA)
    • James Sneyd (University of Auckland, NZ)
    • Andrzej Swierniak (Silesian University of Technology, Poland)
    • Michal Swierniak (M. Sklodowska-Curie Memorial Cancer Centre, Poland)
    • Graeme Wake (Massey University, NZ)
    • Inga Wang (University of Auckland, NZ)
    • Phil Wilson (University of Canterbury, NZ)

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  14. Geometric Numerical Integration

    Organisers: Laurent Jay, Robert McLachlan

    Abstracts

    Timetable

    Confirmed speakers:

    • John Butcher (University of Auckland, NZ)
    • Yousaf Habib (University of Auckland, NZ)
    • Allison Heard (University of Auckland, NZ)
    • Laurent Jay (University of Iowa, USA)
    • Melvin Leok (Purdue University, USA)
    • Robert McLachlan (Massey University, NZ)
    • Klas Modin (Lund University, Sweden)
    • Dion O'Neale (Massey University, NZ)
    • Reinout Quispel (La Trobe University, Australia)
    • Gustaf Soderlind (Lund University, Sweden)
    • Mayya Tokman (University of California at Merced, USA)
    • Will Wright (La Trobe University, Australia)
    • Philip Zhang (Massey University, NZ)

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  15. University Mathematics Education

    Organisers: Pat Cretchley, Derek Holton, Bill McCallum, Tim Passmore

    Abstracts

    Timetable

    Keynote addresses:

    • Derek Holton (University of Otago, NZ)
    • William McCallum (University of Arizona, USA)

    Confirmed speakers:

    • Bill Barton (University of Auckland, NZ)
    • Patricia Cretchley (University of Southern Queensland)
    • David Easdown (University of Sydney, Australia)
    • Alex James (University of Canterbury, NZ)
    • Matthias Kawski (Arizona State University, USA)
    • G. Arthur Mihram (Princeton, NJ, USA)
    • Mark Nelson (University of Wollongong, Australia)
    • Tim Passmore (University of Southern Queensland)

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  16. General Contributions

    Abstracts

    Timetable

    Confirmed speakers:

    • R. K. Beatson (University of Canterbury, NZ)
    • Igor Boglaev (Massey University, NZ)
    • Petarpa Boonserm (Victoria University of Wellington, NZ)
    • Kevin Byard (Massey University, NZ)
    • E. F. Cornelius Jr. (University of Detroit Mercy, USA)
    • Gloria Cravo (University of Madeira, Portugal)
    • Jonathan Crook (Victoria University of Wellington, NZ)
    • Peter Donelan (Victoria University of Wellington, NZ)
    • Driss Drissi (Kuwait University)
    • J. F. Harper (Victoria University of Wellington, NZ)
    • Sun Young Jan (University of Ulsan, South Korea)
    • Stephen Joe (University of Waikato, NZ)
    • Mareli Korostenski (University of the Witwatersrand, South Africa)
    • Jacek Krawczyk (Victoria University of Wellington, NZ)
    • Daniel Lond (University of Canterbury, NZ)
    • Robert McKibbin (Massey University, NZ)
    • Alastair McNaughton (University of Auckland, NZ)
    • V. Lakshmana Gomathi Nayagam (National Institute of Technology, Tiruchirappalli, India)
    • Andrew Percy (Monash University, Australia)
    • Avinesh Prasad (University of the South Pacific, Suva, Fiji)
    • Irwin Pressman (Carleton University, Ottawa, Canada)
    • Agnes Radl (University of Otago, NZ)
    • Krishna Sami Raghuwaiya (University of the South Pacific, Fiji)
    • Muni V. Reddy (University of the South Pacific, Fiji)
    • Alexey L. Sadovski (Texas A&M University-Corpus Christi, USA)
    • Bibhya Sharma (University of the South Pacific, Fiji)
    • S. K. Sunanda (Indian Institute of Technology Kharagpur, India)
    • Ratneesh Suri (Massey University, NZ)
    • Winston L. Sweatman (Massey University, NZ)
    • Bill Taylor (University of Canterbury, NZ)
    • Michael Tuite (National University of Ireland)
    • Neil Watson (University of Canterbury, NZ)
    • ChungChun Yang (Hong Kong University of Science &Technology)
    • Yuncheng You (University of South Florida, USA)