Algebraic Geometry

🇺🇸Vladimir Voevodsky

Mathematics

1966–2017

"A technical argument by a trusted author, which is hard to check and looks similar to arguments known to be correct, is hardly ever checked in detail"

🇫🇷Jean Dieudonné

Mathematics

1906–1992

"A mathematician, then, will be defined in what follows as someone who has published the proof of at least one non-trivial theorem."

🇺🇸Serge Lang

Mathematics

1927–2005

"I am not here concerned with intent, but with scientific standards, especially the ability to tell the difference between a fact, an opinion, a hypothesis, and a hole in the ground."

🇫🇷André Weil

Mathematics

1906–1998

"André Weil : memorial articles in the Notices of the American Mathematical Society"

🇺🇸David Mumford

Mathematics

b. 1937

"I am accustomed, as a professional mathematician, to living in a sort of vacuum, surrounded by people who declare with an odd sort of pride that they are mathematically illiterate."

🇷🇺Yuri I. Manin

Mathematics

1937–2023

"The twentieth century return to Middle Age scholastics taught us a lot about formalisms. Probably it is time to look outside again. Meaning is what really matters."

🇫🇷Alexander Grothendieck

Mathematics

1928–2014

"The introduction of the digit 0 or the group concept was general nonsense too, and mathematics was more or less stagnating for thousands of years because nobody was around to take such childish steps..."

🇺🇸Solomon Lefschetz

Mathematics

1884–1972

"It was my lot to plant the harpoon of algebraic topology into the body of the whale of algebraic geometry."

🇬🇧Caucher Birkar

Mathematics

b. 1978

"To go from the point that I didn’t imagine meeting these people to the point where someday I hold a medal myself — I just couldn’t imagine that this would come true."

🇷🇺Vladimir Arnold

Mathematics

1937–2010

"In almost all textbooks, even the best, this principle is presented so that it is impossible to understand." . I have not chosen to break with tradition."

Pierre Deligne

Mathematics

b. 1944

"The nice thing about mathematics is doing mathematics."