Marjorie Blake (Marj) Batchelor-Winter is an American mathematician known for her work on coalgebras and supermanifolds. She is an emeritus staff member in the department of pure mathematics and mathematical statistics at the University of Cambridge in England, [1] where she was formerly the graduate education officer [2] and director of the Cambridge Mathematics Placements summer programme. [3]
Batchelor is the daughter of William Henry Batchelor, a medical researcher and administrator at the National Institutes of Health. [4] She graduated from Smith College in 1973, and in 2008 returned to Smith with her husband, Alan Winter, to help revive the tradition of change ringing at Smith. [5]
She became a student of Bertram Kostant at the Massachusetts Institute of Technology, completing her Ph.D. there in 1978 with a dissertation on The Structure of Supermanifolds. [6]
In the theory of supermanifolds, Batchelor's theorem states that every supermanifold can be realized as a sheaf of differential forms over the exterior bundle of a vector bundle. Batchelor published its proof in her 1979 paper, "The structure of supermanifolds". [7]
At Cambridge, Batchelor became known for her efforts to encourage women in mathematics, and to build a more collegial and interactive atmosphere among the students studying for the Mathematical Tripos. [8]
Sir Michael Francis Atiyah was a British-Lebanese mathematician specialising in geometry. His contributions include the Atiyah–Singer index theorem and co-founding topological K-theory. He was awarded the Fields Medal in 1966 and the Abel Prize in 2004.
In physics and mathematics, supermanifolds are generalizations of the manifold concept based on ideas coming from supersymmetry. Several definitions are in use, some of which are described below.
Sir Simon Kirwan Donaldson is an English mathematician known for his work on the topology of smooth (differentiable) four-dimensional manifolds, Donaldson–Thomas theory, and his contributions to Kähler geometry. He is currently a permanent member of the Simons Center for Geometry and Physics at Stony Brook University in New York, and a Professor in Pure Mathematics at Imperial College London.
Further Mathematics is the title given to a number of advanced secondary mathematics courses. The term "Higher and Further Mathematics", and the term "Advanced Level Mathematics", may also refer to any of several advanced mathematics courses at many institutions.
In mathematics, Fujita's conjecture is a problem in the theories of algebraic geometry and complex manifolds, unsolved as of 2017. It is named after Takao Fujita, who formulated it in 1985.
The Oswald Veblen Prize in Geometry is an award granted by the American Mathematical Society for notable research in geometry or topology. It was founded in 1961 in memory of Oswald Veblen. The Veblen Prize is now worth US$5000, and is awarded every three years.
Marjorie Lee Browne was a mathematics educator. She was one of the first African-American women to receive a PhD in mathematics.
John Willard Morgan is an American mathematician known for his contributions to topology and geometry. He is a Professor Emeritus at Columbia University and a member of the Simons Center for Geometry and Physics at Stony Brook University.
Cheryl Elisabeth Praeger is an Australian mathematician. Praeger received BSc (1969) and MSc degrees from the University of Queensland (1974), and a doctorate from the University of Oxford in 1973 under direction of Peter M. Neumann. She has published widely and has advised 27 PhD students. She is currently Emeritus Professor of Mathematics at the University of Western Australia. She is best known for her works in group theory, algebraic graph theory and combinatorial designs.
Susan Mary Rees, FRS is a British mathematician and an emeritus professor of mathematics at the University of Liverpool since 2018, specialising in research in complex dynamical systems.
In algebraic geometry, graded manifolds are extensions of the concept of manifolds based on ideas coming from supersymmetry and supercommutative algebra. Both graded manifolds and supermanifolds are phrased in terms of sheaves of graded commutative algebras. However, graded manifolds are characterized by sheaves on smooth manifolds, while supermanifolds are constructed by gluing of sheaves of supervector spaces.
Georgia McClure Benkart was an American mathematician who was known for her work in the structure and representation theory of Lie algebras and related algebraic structures. She published over 130 journal articles and co-authored three American Mathematical Society memoirs in four broad categories: modular Lie algebras; combinatorics of Lie algebra representations; graded algebras and superalgebras; and quantum groups and related structures.
This is a timeline of women in mathematics.
Aubrey William Ingleton (1920–2000) was an English mathematician.
Frances Alice Rogers is a British mathematician and mathematical physicist. She is an emeritus professor of mathematics at King's College London.
Magda Peligrad is a Romanian mathematician and mathematical statistician known for her research in probability theory, and particularly on central limit theorems and stochastic processes. She works at the University of Cincinnati, where she is Distinguished Charles Phelps Taft Professor of Mathematical Sciences.
Marjorie "Molly" Greene Hahn is an American mathematician and tennis player. In mathematics and mathematical statistics she is known for her research in probability theory, including work on central limit theorems, stochastic processes, and stochastic differential equations. She is a professor emeritus of mathematics at Tufts University.
Julia Wolf is a British mathematician specialising in arithmetic combinatorics who was the 2016 winner of the Anne Bennett Prize of the London Mathematical Society. She is currently a professor in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge.
Dona Anschel Papert Strauss is a South African mathematician working in topology and functional analysis. Her doctoral thesis was one of the initial sources of pointless topology. She has also been active in the political left, lost one of her faculty positions over her protests of the Vietnam War, and became a founder of European Women in Mathematics.
Gertrude Ehrlich is an Austrian-American mathematician, specializing in abstract algebra and algebraic number theory. She is a professor emerita of mathematics at the University of Maryland, College Park.