What did Alexander grothendieck discover?

Alexander Grothendieck was the focal point in the launching of the modern Theory of Algebraic Geometry; this included commutative algebra, homological algebra, sheaf theory, and category theory.

Why is grothendieck important?

During this period Grothendieck’s work provided unifying themes in geometry, number theory, topology and complex analysis. He introduced the theory of schemes in the 1960s which allowed certain of Weil’s number theory conjectures to be solved.

Did Alexander grothendieck have children?

He had five children: a son with his landlady during his time in Nancy, three children, Johanna (1959), Alexander (1961) and Mathieu (1965) with his wife Mireille Dufour, and one child with Justine Skalba, with whom he lived in a commune in the early 1970s.

Who invented commutative algebra?

mathematician David Hilbert
The foundation of commutative algebra lies in the work of 20th century German mathematician David Hilbert, whose work on invariant theory was motivated by questions in physics.

How did Grothendieck learn mathematics?

Grothendieck confirms in Récoltes et Semailles that most of what he learned in geometry he learned from Serre, or taught himself, and calls Serre the “detonator” that provided the spark to ignite his explosion of ideas.

Was Alexander Grothendieck good?

Grothendieck became a revered mathematician. His work involved finding the right vantage point—from there, solutions to problems would follow easily. He rewrote definitions, even of things as basic as a point; his reframings uncovered connections between seemingly unrelated realms of math.

Is matrix multiplication associative?

Matrix multiplication is associative. Al- though it’s not commutative, it is associative. That’s because it corresponds to composition of functions, and that’s associative.

What does MOD stand for in math?

Modulo is a math operation that finds the remainder when one integer is divided by another. In writing, it is frequently abbreviated as mod, or represented by the symbol %. For two integers a and b: a mod b = r. Where a is the dividend, b is the divisor (or modulus), and r is the remainder.