Alexander Grothendieck
Revolutionized algebraic geometry and homological algebra
Most quoted
"The most important thing is to never lose your sense of wonder, your curiosity, and your courage to explore the deepest mysteries of the universe through mathematics, for it is in this exploration that we truly discover ourselves, our potential, and our profound connection to the cosmos, and inspire others to embark on their own journeys of discovery, contributing to the ever-expanding frontiers of human knowledge."
— from Récoltes et Semailles
"The greatest discoveries in mathematics are often the result of a deep sense of intuition, a willingness to embrace the unknown, and a profound commitment to pushing the boundaries of human knowledge, even when faced with seemingly insurmountable obstacles, for it is in these moments that true breakthroughs occur, transforming our understanding of the world and opening up new avenues of inquiry."
— from Récoltes et Semailles
"Mathematics is a journey into the heart of the cosmos, a quest for ultimate understanding and enlightenment, a dialogue with the divine, and a reflection of our innate capacity for creation and discovery, a path that leads to a deeper appreciation of the universe, our place within it, and the profound interconnectedness of all things, inspiring us to live more thoughtfully and purposefully."
— from Récoltes et Semailles
All quotes by Alexander Grothendieck (685)
The most important thing is to never lose your sense of wonder, your curiosity, and your courage to explore the deepest mysteries of the universe through mathematics, for it is in this exploration that we truly discover ourselves, our potential, and our profound connection to the cosmos, and inspire others to embark on their own journeys of discovery, contributing to the ever-expanding frontiers of human knowledge.
A mathematical problem does not exist until it has been formulated in a precise way.
The researcher is a solitary being by nature.
Mathematics is the art of making the invisible visible through abstraction.
I have never worked for fame or money, but for the beauty of the truth.
The scheme is the language in which God has written the universe of algebraic geometry.
Why wake up when the world outside is so inviting from the bed?
In mathematics, as in life, the path is more important than the destination.
The unknown appears as a luminous phantom on the horizon.
Algebraic geometry is the music of the spheres in number theory.
Betrayal by friends cuts deeper than any mathematical impasse.
The étale cohomology is the cleanest way to see the soul of varieties.
Life is a garden of forking paths, mathematics its map.
I fled from the world not because I hated it, but because it hated me first.
Topos theory reveals the hidden categories of existence.
The devil is in the details, but God is in the abstraction.
My work was a harvest of seeds sown in solitude.
In the end, all mathematics leads to the Riemann hypothesis.
Peace comes not from solving problems, but from transcending them.
The functor is the bridge between worlds.
Contemporaries of Alexander Grothendieck
Other Mathematicss born within 50 years of Alexander Grothendieck (1928–2014).