David Bryant Mumford is an American mathematician known for his work in algebraic geometry and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. In 2010 he was awarded the National Medal of Science. He is currently a University Professor Emeritus in the Division of Applied Mathematics at Brown University.
Dietrich Eckart was a German völkisch poet, playwright, journalist, publicist, and political activist who was one of the founders of the German Workers' Party, the precursor of the Nazi Party. Eckart was a key influence on Adolf Hitler in the early years of the Party, the original publisher of the party newspaper, the Völkischer Beobachter, and the lyricist of the first party anthem, Sturmlied. He was a participant in the failed Beer Hall Putsch in 1923 and died on 26 December of that year, shortly after his release from Landsberg Prison, from a heart attack.
Gérard Debreu was a French-born economist and mathematician. Best known as a professor of economics at the University of California, Berkeley, where he began work in 1962, he won the 1983 Nobel Memorial Prize in Economic Sciences.
Paul Pierre Lévy was a French mathematician who was active especially in probability theory, introducing fundamental concepts such as local time, stable distributions and characteristic functions. Lévy processes, Lévy flights, Lévy measures, Lévy's constant, the Lévy distribution, the Lévy area, the Lévy arcsine law, and the fractal Lévy C curve are named after him.
The Cantor medal of the Deutsche Mathematiker-Vereinigung is named in honor of Georg Cantor, the first president of the society. It is awarded at most every second year during the yearly meetings of the society. The prize winners are mathematicians who are associated with the German language.
In number theory and algebraic geometry, a rational point of an algebraic variety is a point whose coordinates belong to a given field. If the field is not mentioned, the field of rational numbers is generally understood. If the field is the field of real numbers, a rational point is more commonly called a real point.
In mathematics, the Kodaira vanishing theorem is a basic result of complex manifold theory and complex algebraic geometry, describing general conditions under which sheaf cohomology groups with indices q > 0 are automatically zero. The implications for the group with index q = 0 is usually that its dimension — the number of independent global sections — coincides with a holomorphic Euler characteristic that can be computed using the Hirzebruch–Riemann–Roch theorem.
Hélène Esnault is a French and German mathematician, specializing in algebraic geometry.
Yuktibhāṣā, also known as Gaṇita-yukti-bhāṣā and Gaṇitanyāyasaṅgraha, is a major treatise on mathematics and astronomy, written by the Indian astronomer Jyesthadeva of the Kerala school of mathematics around 1530. The treatise, written in Malayalam, is a consolidation of the discoveries by Madhava of Sangamagrama, Nilakantha Somayaji, Parameshvara, Jyeshtadeva, Achyuta Pisharati, and other astronomer-mathematicians of the Kerala school. It also exists in a Sanskrit version, with unclear author and date, composed as a rough translation of the Malayalam original.
Eckart is a German surname, and may refer to:
Carl Henry Eckart was an American physicist, physical oceanographer, geophysicist, and administrator. He co-developed the Wigner–Eckart theorem and is also known for the Eckart conditions in quantum mechanics, and the Eckart–Young theorem in linear algebra.
The Institute for Experimental Mathematics (IEM) was founded, with the support of the Volkswagen Foundation, as a central scientific facility of the former University of Essen, now University of Duisburg-Essen in 1989. With the addition of the Alfried Krupp von Bohlen und Halbach Foundation Chair on 1 January 1999, the Institute was expanded in the area of Computer Networking Technology. A.J. Han Vinck is currently the Institute's managing director.
In algebraic geometry, the Ramanujam vanishing theorem is an extension of the Kodaira vanishing theorem due to Ramanujam (1972), that in particular gives conditions for the vanishing of first cohomology groups of coherent sheaves on a surface. The Kawamata–Viehweg vanishing theorem generalizes it.
In algebraic geometry, the Kawamata–Viehweg vanishing theorem is an extension of the Kodaira vanishing theorem, on the vanishing of coherent cohomology groups, to logarithmic pairs, proved independently by Viehweg and Kawamata in 1982.
In algebraic geometry, the Mumford vanishing theorem proved by Mumford in 1967 states that if L is a semi-ample invertible sheaf with Iitaka dimension at least 2 on a complex projective manifold, then
In mathematics, Deligne cohomology is the hypercohomology of the Deligne complex of a complex manifold. It was introduced by Pierre Deligne in unpublished work in about 1972 as a cohomology theory for algebraic varieties that includes both ordinary cohomology and intermediate Jacobians.
In mathematics, the Arason invariant is a cohomological invariant associated to a quadratic form of even rank and trivial discriminant and Clifford invariant over a field k of characteristic not 2, taking values in H3(k,Z/2Z). It was introduced by (Arason 1975, Theorem 5.7).
Yujiro Kawamata is a Japanese mathematician working in algebraic geometry.
Helene Bechstein née Capito was a German socialite and businesswoman. She was an etiquette tutor for Adolf Hitler and was the wife of Edwin Bechstein, the owner and later majority shareholder of C. Bechstein, a leading manufacturer of pianos.
Gale J. Young (1912–1990) was an American engineer, mathematical physicist, biophysicist, and applied mathematician. He is known as a pioneer of nuclear engineering and as one of the namesakes of the Eckart-Young theorem in linear algebra.
