Lars Valerian Ahlfors was a Finnish mathematician, remembered for his work in the field of Riemann surfaces and his textbook on complex analysis.
Richard Cockburn Maclaurin was a Scottish-born U.S. educator and mathematical physicist. He was made president of MIT in 1909, and held the position until his death in 1920.
Henryk Iwaniec is a Polish-American mathematician, and since 1987 a professor at Rutgers University. He is a member of the American Academy of Arts and Sciences and Polish Academy of Sciences. He has made important contributions to analytic and algebraic number theory as well as harmonic analysis. He is the recipient of Cole Prize (2002), Steele Prize (2011), and Shaw Prize (2015).
Sir Paul Terence Callaghan was a New Zealand physicist who, as the founding director of the MacDiarmid Institute for Advanced Materials and Nanotechnology at Victoria University of Wellington, held the position of Alan MacDiarmid Professor of Physical Sciences and was President of the International Society of Magnetic Resonance.
In mathematics, Liouville's theorem, proved by Joseph Liouville in 1850, is a rigidity theorem about conformal mappings in Euclidean space. It states that every smooth conformal mapping on a domain of Rn, where n > 2, can be expressed as a composition of translations, similarities, orthogonal transformations and inversions: they are Möbius transformations. This theorem severely limits the variety of possible conformal mappings in R3 and higher-dimensional spaces. By contrast, conformal mappings in R2 can be much more complicated – for example, all simply connected planar domains are conformally equivalent, by the Riemann mapping theorem.
Sir Martin Hairer is an Austrian-British mathematician working in the field of stochastic analysis, in particular stochastic partial differential equations. He is Professor of Mathematics at EPFL and at Imperial College London. He previously held appointments at the University of Warwick and the Courant Institute of New York University. In 2014 he was awarded the Fields Medal, one of the highest honours a mathematician can achieve. In 2020 he won the 2021 Breakthrough Prize in Mathematics.
In mathematics, the measurable Riemann mapping theorem is a theorem proved in 1960 by Lars Ahlfors and Lipman Bers in complex analysis and geometric function theory. Contrary to its name, it is not a direct generalization of the Riemann mapping theorem, but instead a result concerning quasiconformal mappings and solutions of the Beltrami equation. The result was prefigured by earlier results of Charles Morrey from 1938 on quasi-linear elliptic partial differential equations.
In mathematics, a quasicircle is a Jordan curve in the complex plane that is the image of a circle under a quasiconformal mapping of the plane onto itself. Originally introduced independently by Pfluger (1961) and Tienari (1962), in the older literature they were referred to as quasiconformal curves, a terminology which also applied to arcs. In complex analysis and geometric function theory, quasicircles play a fundamental role in the description of the universal Teichmüller space, through quasisymmetric homeomorphisms of the circle. Quasicircles also play an important role in complex dynamical systems.
Rodney Graham Downey is a New Zealand and Australian mathematician and computer scientist, an emeritus professor in the School of Mathematics and Statistics at Victoria University of Wellington in New Zealand. He is known for his work in mathematical logic and computational complexity theory, and in particular for founding the field of parameterised complexity together with Michael Fellows.
Michael Anthony Steel is a New Zealand mathematician and statistician, a Distinguished Professor of mathematics and statistics and the Director of the Biomathematics Research Centre at the University of Canterbury in Christchurch, New Zealand. He is known for his research on modelling and reconstructing evolutionary trees.
Frederick William Gehring was an American mathematician who worked in the area of complex analysis.
Marston Donald Edward Conder is a New Zealand mathematician, a Distinguished Professor of Mathematics at Auckland University, and the former co-director of the New Zealand Institute of Mathematics and its Applications. His main research interests are in combinatorial group theory, graph theory, and their connections with each other.
Derek Frank Lawden was a British-New Zealand mathematician.
The New Zealand Mathematical Society is a New Zealand based learned society of mathematicians. It is listed by the Royal Society of New Zealand as the affiliate organisation responsible for mathematics research, and by the International Mathematical Union as the national mathematical society of New Zealand. The total membership in the society has varied from approximately 100 soon after its 1974 foundation to between 200 and 300 at its 25th anniversary in 1999.
Kari Astala is a Finnish mathematician, specializing in analysis.
Robert Iain McLachlan is a New Zealand mathematician and Distinguished Professor in the School of Fundamental Sciences, Massey University, New Zealand. His research in geometric integration encompasses both pure and applied mathematics, modelling the structure of systems such as liquids, climate cycles, and quantum mechanics. He also writes for the public on the subject of climate change policy.
Alona Ben-Tal is an Israeli and New Zealand applied mathematician who works as an associate professor and deputy head of school in the School of Natural and Computational Sciences at Massey University. Her research concerns dynamical systems and the mathematical modeling of human and bird breathing and of electrical power systems.
Bakhadyr M. Khoussainov is a computer scientist and mathematician, who was born and educated in the Soviet Union, works in the fields of mathematical logic, computability theory, computable model theory and theoretical computer science. With Anil Nerode, he is the co-founder of the theory of automatic structures, which is an extension of the theory of automatic groups.
Sina Ruth Greenwood is a New Zealand mathematician whose interests include continuum theory, discrete dynamical systems, inverse limits, set-valued analysis, and Volterra spaces. She is an associate professor of mathematics and Associate Dean Pacific in the faculty of science at the University of Auckland.
Cameron Cunningham (Cami) Sawyer is an American mathematician who has worked in New Zealand at Massey University and the Ministry of Education. Trained in algebraic topology, her work in New Zealand has focused on mathematics education, educational technology, distance learning, and the needs of Māori students in mathematics.
