1st Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society Victoria University of Wellington Wellington, New Zealand December 12{15, 2007 American Mathematical Society New Zealand Mathematical Society Contents Timetables viii Plenary Addresses . viii Special Sessions ............................. ix Computability Theory . ix Dynamical Systems and Ergodic Theory . x Dynamics and Control of Systems: Theory and Applications to Biomedicine . xi Geometric Numerical Integration . xiii Group Theory, Actions, and Computation . xiv History and Philosophy of Mathematics . xv Hopf Algebras and Quantum Groups . xvi Infinite Dimensional Groups and Their Actions . xvii Integrability of Continuous and Discrete Evolution Systems . xvii Matroids, Graphs, and Complexity . xviii New Trends in Spectral Analysis and PDE . xix Quantum Topology . xx Special Functions and Orthogonal Polynomials . xx University Mathematics Education . xxii Water-Wave Scattering, Focusing on Wave-Ice Interactions . xxiii General Contributions . xxiv Plenary Addresses 1 Marston Conder . 1 Rod Downey . 1 Michael Freedman . 1 Bruce Kleiner . 2 Gaven Martin . 2 Assaf Naor . 3 Theodore A Slaman . 3 Matt Visser . 4 Computability Theory 5 George Barmpalias . 5 Paul Brodhead . 5 Cristian S Calude . 5 Douglas Cenzer . 6 Chi Tat Chong . 6 Barbara F Csima . 6 QiFeng ................................... 6 Johanna Franklin . 7 Noam Greenberg . 7 Denis R Hirschfeldt . 7 Carl G Jockusch Jr . 8 Bakhadyr Khoussainov . 8 Bj¨ornKjos-Hanssen . 8 Antonio Montalban . 9 Ng, Keng Meng . 9 Andre Nies . 9 i Jan Reimann . 10 Ludwig Staiger . 10 Frank Stephan . 10 Hugh Woodin . 11 Guohua Wu . 11 Dynamical Systems and Ergodic Theory 12 Boris Baeumer . 12 Mathias Beiglb¨ock . 12 Arno Berger . 12 Keith Burns . 13 Dmitry Dolgopyat . 13 Anthony Dooley . 13 Gary Froyland . 14 Wenzhi Luo . 14 Ian Melbourne . 14 Rua Murray . 15 Matthew Nicol . 15 Anthony Quas . 15 Luchezar Stoyanov . 16 Martin Wechselberger . 16 Alistair Windsor . 16 Reinhard Winkler . 17 Ilze Ziedins . 17 Dynamics and Control of Systems: Theory and Applications to Biomedicine 18 Alona Ben-Tal . 18 Robert Donnelly . 18 Wen Duan . 18 Krzysztof Fujarewicz . 19 Scott Graybill . 19 Emily Harvey . 19 Peter Hinow . 20 Matthias Kawski . 20 Carlo Laing . 20 Urszula Ledzewicz . 21 Dann Mallet . 22 Helmut Maurer . 22 Annette Molinaro . 22 L G de Pillis . 23 Michael Plank . 24 Ami Radunskaya . 24 Heinz Sch¨attler . 24 James Sneyd . 25 Andrzej Swierniak . 25 Michal Swierniak . 26 Graeme Wake . 26 Inga Wang . 27 Phil Wilson . 27 ii Geometric Numerical Integration 29 John Butcher . 29 Yousaf Habib . 29 Allison Heard . 30 Laurent O Jay . 30 Melvin Leok . 31 Robert McLachlan . 31 Klas Modin . 31 Dion O'Neale . 32 Reinout Quispel . 32 Gustaf S¨oderlind . 32 Mayya Tokman . 33 Will Wright . 33 Philip Zhang . 33 Group Theory, Actions and Computation 34 Russell Blyth . 34 Ruth Charney . 34 Marston Conder . 34 Benjamin Fine . 35 Michael A Jackson . 35 Gareth Jones . 35 Jin Ho Kwak . 36 Arturo Magidin . 36 Toma Pisanski . 37 Gerhard Rosenberger . 37 Gunter Steinke . 37 Antonio Breda d'Azevedo . ..