In mathematics, differential Galois theory studies the Galois groups of differential equations.
Richard A. Parker (born 29 January 1953, in Surrey) is a mathematician and freelance computer programmer in Cambridge, England. He invented many of the algorithms for computing the modular character tables of finite simple groups. He discovered the relation between Niemeier lattices and deep holes of the Leech lattice, and constructed Parker's Moufang loop of order 213 (which was used by John Horton Conway in his construction of the monster group).
In mathematics, the Frobenius endomorphism is defined in any commutative ring R that has characteristic p, where p is a prime number. Namely, the mapping φ that takes r in R to rp is a ring endomorphism of R.
In mathematics, Siegel modular forms are a major type of automorphic form. These generalize conventional elliptic modular forms which are closely related to elliptic curves. The complex manifolds constructed in the theory of Siegel modular forms are Siegel modular varieties, which are basic models for what a moduli space for abelian varieties should be and are constructed as quotients of the Siegel upper half-space rather than the upper half-plane by discrete groups.
Kurt Schütte was a German mathematician who worked on proof theory and ordinal analysis. The Feferman–Schütte ordinal, which he showed to be the precise ordinal bound for predicativity, is named after him. He was the doctoral advisor of 16 students, including Wolfgang Bibel, Wolfgang Maaß, Wolfram Pohlers, and Martin Wirsing.
Jürgen Neukirch was a German mathematician known for his work on algebraic number theory.
Hans Maass was a German mathematician who introduced Maass wave forms and Koecher–Maass series and Maass–Selberg relations and who proved most of the Saito–Kurokawa conjecture. Maass was a student of Erich Hecke.
In mathematics, a constructible sheaf is a sheaf of abelian groups over some topological space X, such that X is the union of a finite number of locally closed subsets on each of which the sheaf is a locally constant sheaf. It is a generalization of constructible topology in classical algebraic geometry.
Friedrich Karl Schmidt was a German mathematician, who made notable contributions to algebra and number theory.
James S. Milne is a New Zealand mathematician working in arithmetic geometry.
In mathematics, a theta constant or Thetanullwert' is the restriction θm(τ) = θm(τ,0) of a theta function θm(τ,z) with rational characteristic m to z = 0. The variable τ may be a complex number in the upper half-plane in which case the theta constants are modular forms, or more generally may be an element of a Siegel upper half plane in which case the theta constants are Siegel modular forms. The theta function of a lattice is essentially a special case of a theta constant.
In mathematics, the Siegel operator is a linear map from Siegel modular forms of degree d to Siegel modular forms of degree d − 1, generalizing taking the constant term of a modular form. The kernel is the space of Siegel cusp forms of degree d.
In mathematics, a Siegel theta series is a Siegel modular form associated to a positive definite lattice, generalizing the 1-variable theta function of a lattice.
Günter Harder is a German mathematician, specializing in arithmetic geometry and number theory.
Reinhardt Kiehl is a German mathematician.
AnatoliNikolaievich Andrianov is а Russian mathematician.
Albert Pfluger was a Swiss mathematician, specializing in complex function theory.
Michael F. Singer is an American mathematician.
In mathematics, a Siegel modular variety or Siegel moduli space is an algebraic variety that parametrizes certain types of abelian varieties of a fixed dimension. More precisely, Siegel modular varieties are the moduli spaces of principally polarized abelian varieties of a fixed dimension. They are named after Carl Ludwig Siegel, the 20th-century German number theorist who introduced the varieties in 1943.
Winfried Scharlau was a German mathematician.
