In mathematics, enumerative geometry is the branch of algebraic geometry concerned with counting numbers of solutions to geometric questions, mainly by...

January 1920) was a Danish mathematician. He is known for work on the enumerative geometry of conic sections, algebraic surfaces, and history of mathematics...

particular, the enumerative predictions of mirror symmetry have now been rigorously proven. In addition to its applications in enumerative geometry, mirror symmetry...

problems in enumerative geometry, a branch of mathematics concerned with counting the numbers of solutions to geometric questions. Enumerative geometry studies...

problems of projective geometry and, as such, is viewed as part of enumerative geometry. Giving it a more rigorous foundation was the aim of Hilbert's 15th...

mathematical and physical fields of convex geometry, algebraic geometry, enumerative geometry, mirror symmetry, general relativity, and string theory, while...

Elliptic geometry Enumerative geometry Epipolar geometry Euclidean geometry Finite geometry Fractal geometry Geometry of numbers Hyperbolic geometry Incidence...

for his work in geometry, particularly in enumerative geometry and the singularity theory of algebraic curves, in algebraic geometry. He also worked on...

projective geometry became less fashionable, although the literature is voluminous. Some important work was done in enumerative geometry in particular...

advances in enumerative geometry of complex varieties. The Hodge conjecture, one of the millennium prize problems, is a problem in complex geometry. Broadly...

definition of invariants of spectral curves. It has applications in enumerative geometry, random matrix theory, mathematical physics, string theory, knot...

and his research work spans over enumerative geometry, topology, Gromov–Witten theory, and classical algebraic geometry. He has solved several old problems...

American mathematician at the University of Michigan. He works in enumerative geometry, and is also known for his chess playing, where he is a FIDE Master...

has important applications in a branch of mathematics called enumerative algebraic geometry. T-duality is a particular example of a general notion of duality...

ISBN 978-3-7643-8309-1. Zbl 1162.14300. Mikhalkin, Grigory (2005). "Enumerative tropical algebraic geometry in R 2 {\displaystyle \mathbb {R} ^{2}} ". Journal of the...

Marcos Marino; Michael Thaddeus; Ravi Vakil (2008). Enumerative Invariants in Algebraic Geometry and String Theory: Lectures given at the C.I.M.E. Summer...

space. Enumerative combinatorics an area of combinatorics that deals with the number of ways that certain patterns can be formed. Enumerative geometry a branch...

combinatorial topics may be enumerative in nature or involve matroids, polytopes, partially ordered sets, or finite geometries. On the algebraic side, besides...

definitions of the theory. This was motivated by its application to enumerative algebraic geometry, with ideas from Maxim Kontsevich and works by Grigory Mikhalkin...

spaces" 2013 Rahul Pandharipande "For his recent outstanding work in enumerative geometry, specifically for his proof in a large class of cases of the MNOP...

for degree 1 and 2, these agree with the actual number of points. Enumerative geometry Mirror symmetry (string theory) Gromov–Witten invariant Jacobian...

An octant in solid geometry is one of the eight divisions of a Euclidean three-dimensional coordinate system defined by the signs of the coordinates. It...

essence of the Gromov–Witten invariants, which find application in enumerative geometry and type IIA string theory. The idea of stable map was proposed by...

Grothendieck–Riemann–Roch theorem Enumerative geometry Eisenbud & Harris 2016, p. 14. Eisenbud & Harris 2016, p. 2. Gathman, Andreas, Algebraic Geometry, archived from the...

enumerative geometry; formalizing this intuition requires significant further development to justify. Another classic problem in enumerative geometry...

the vertex enumeration problem for a polytope, a polyhedral cell complex, a hyperplane arrangement, or some other object of discrete geometry, is the problem...

Vasileva Georgieva is a mathematician whose research interests include enumerative geometry, symplectic topology, and Gromov–Witten invariants. Educated in Bulgaria...

mathematics" such as real numbers, calculus or Euclidean geometry. Discrete objects can often be enumerated by integers; more formally, discrete mathematics has...

affine subpaces called Schubert cells, which were first applied in enumerative geometry. The Schubert cells for G r k ( V ) {\displaystyle \mathbf {Gr} _{k}(V)}...

Geometry of numbers, also known as geometric number theory, is the part of number theory which uses geometry for the study of algebraic numbers. Typically...