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Ravi D. Vakil (born February 22, 1970) is a Canadian-American mathematician working in algebraic geometry. He is the current president of the American Mathematical Society . Education and career
Mnëv's universality theorem has numerous applications in algebraic geometry, due to Laurent Lafforgue, Ravi Vakil and others, allowing one to construct moduli spaces with arbitrarily bad behaviour. This theorem together with Kempe's universality theorem has been used also by Kapovich and Millson in the study of the moduli spaces of linkages ...
Vakil, Ravi (2006). "The Moduli Space of Curves and Gromov–Witten Theory". Enumerative Invariants in Algebraic Geometry and String Theory. Lecture Notes in Mathematics.
In algebraic geometry, a new scheme (e.g. an algebraic variety) ... Vakil, Ravi (November 18, 2017). "Math 216: Foundations of algebraic geometry". Further reading
In algebraic geometry over any field, by analogy, it also happens in algebraic codimension one. In algebraic number theory ... Vakil, Ravi (18 November 2017).
Notably, for a Hausdorff space, the algebra of scalars (the bounded continuous functions on the space, being analogous to regular functions) is a commutative C*-algebra, with the space being recovered as a topological space from of the algebra of scalars, indeed functorially so; this is the content of the Banach–Stone theorem. Indeed, any ...
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, ... Foundations of Algebraic Geometry by Ravi Vakil, 808 pp.
By the 1970s, Grothendieck's work was seen as influential, not only in algebraic geometry and the allied fields of sheaf theory and homological algebra, [89] but influenced logic, in the field of categorical logic. [90] According to mathematician Ravi Vakil, "Whole fields of mathematics speak the language that he set up. We live in this big ...