Elizabeth Louise Mansfield FIMA is an Australian mathematician whose research includes the study of moving frames and conservation laws for discretisations of physical systems. [1] She is a Fellow of the Institute of Mathematics and its Applications and was a Vice-President thereof from January 2015 until December 2018. She was the first female full professor of mathematics at the University of Kent. [2] She was one of the co-editors of the LMS Journal of Computation and Mathematics, a journal published by the London Mathematical Society from 1998 to 2015. [3] She is on the Editorial Board of the Journal of the Foundations of Computational Mathematics.
Mansfield obtained her Ph.D. from the University of Sydney in 1992. Her dissertation, Differential Gröbner Bases, was supervised by Edward Douglas Fackerell. [4] At the University of Kent, she is a professor in the School of Mathematics, Statistics and Actuarial Science. [2]
Mansfield is one of the people the Estevez–Mansfield–Clarkson equation was named for. [5] She is the author of a book on the method of moving frames, A Practical Guide to the Invariant Calculus (Cambridge Monographs on Applied and Computational Mathematics 26, Cambridge University Press, 2010). [6] In 2018, she organized the Noether Celebration in London, a conference concerning the works of Emmy Noether, whom Mansfield cites as an inspiration for her own work. [7]
Amalie Emmy Noether was a German mathematician who made many important contributions to abstract algebra. She discovered Noether's first and second theorems, which are fundamental in mathematical physics. She was described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl and Norbert Wiener as the most important woman in the history of mathematics. As one of the leading mathematicians of her time, she developed theories of rings, fields, and algebras. In physics, Noether's theorem explains the connection between symmetry and conservation laws.
The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society, the Institute of Mathematics and its Applications, the Edinburgh Mathematical Society and the Operational Research Society.
Lenore Carol Blum is an American computer scientist and mathematician who has made contributions to the theories of real number computation, cryptography, and pseudorandom number generation. She was a distinguished career professor of computer science at Carnegie Mellon University until 2019 and is currently a professor in residence at the University of California, Berkeley. She is also known for her efforts to increase diversity in mathematics and computer science.
Karen Keskulla Uhlenbeck ForMemRS is an American mathematician and one of the founders of modern geometric analysis. She is a professor emeritus of mathematics at the University of Texas at Austin, where she held the Sid W. Richardson Foundation Regents Chair. She is currently a distinguished visiting professor at the Institute for Advanced Study and a visiting senior research scholar at Princeton University.
In mathematics, a differential invariant is an invariant for the action of a Lie group on a space that involves the derivatives of graphs of functions in the space. Differential invariants are fundamental in projective differential geometry, and the curvature is often studied from this point of view. Differential invariants were introduced in special cases by Sophus Lie in the early 1880s and studied by Georges Henri Halphen at the same time. Lie (1884) was the first general work on differential invariants, and established the relationship between differential invariants, invariant differential equations, and invariant differential operators.
The Estevez–Mansfield–Clarkson equation is a nonlinear partial differential equation introduced by Pilar Estevez, Elizabeth Mansfield, and Peter Clarkson.
Mara Dicle Neusel was a mathematician, author, teacher and an advocate for women in mathematics. The focus of her mathematical work was on invariant theory, which can be briefly described as the study of group actions and their fixed points.
Hinke Maria Osinga is a Dutch mathematician and an expert in dynamical systems. She works as a professor of applied mathematics at the University of Auckland in New Zealand. As well as for her research, she is known as a creator of mathematical art.
Mary Elizabeth Flahive is a professor of mathematics at Oregon State University. Her research interests are in number theory; she is the author of two books on difference equations and Diophantine approximation, and is also interested in the geometry of numbers and algebraic coding theory.
Patricia Clark Kenschaft was an American mathematician. She was a professor of mathematics at Montclair State University. She is known as a prolific author of books on mathematics, as a founder of PRIMES, the Project for Resourceful Instruction of Mathematics in the Elementary School, and for her work for equity and diversity in mathematics.
Laura Anne Taalman, also known as mathgrrl, is an American mathematician known for her work on the mathematics of Sudoku and for her mathematical 3D printing models. Her mathematical research concerns knot theory and singular algebraic geometry; she is a professor of mathematics at James Madison University.
Auguste Franziska Dick was an Austrian mathematician, historian of mathematics, and handwriting expert, known for her research on the history of mathematics under the Nazis, and for her biography of Emmy Noether.
Jean Estelle Hirsh Rubin was an American mathematician known for her research on the axiom of choice. She worked for many years as a professor of mathematics at Purdue University. Rubin wrote five books: three on the axiom of choice, and two more on more general topics in set theory and mathematical logic.
Jeanne A. Nielsen Clelland is an American mathematician specializing in differential geometry and its applications to differential equations. She is a professor of mathematics at the University of Colorado Boulder, and the author of a textbook on moving frames, From Frenet to Cartan: The Method of Moving Frames.
Simone Warzel is a German mathematical physicist at the Technical University of Munich. Her research involves statistical mechanics and the many-body problem in quantum mechanics. She is a co-author of the book Random Operators: Disorder Effects on Quantum Spectra and Dynamics.
Fioralba Cakoni is an American-Albanian mathematician and an expert on inverse scattering theory. She is a professor of mathematics at Rutgers University.
Vivette Girault is a French mathematician, whose research expertise lies in numerical analysis, finite element methods and computational fluid dynamics. She has been affiliated with Pierre and Marie Curie University.
Nail Hairullovich Ibragimov was a Russian mathematician and mathematical physicist. At his death he was a professor emeritus at the Blekinge Institute of Technology. Ibragimov's research area was differential calculus, group analysis and mathematical physics. He was the author of many books on mathematics and mathematical physics.
Yuliya Stepanivna Mishura is a Ukrainian mathematician specializing in probability theory and mathematical finance. She is a professor at the Taras Shevchenko National University of Kyiv.
Cristina Manolache is a mathematician and Senior Lecturer in the School of Mathematics and Statistics at the University of Sheffield.