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)
I am a nomad in the desert of ideas.
Grothendieck topologies are the eyes of the mathematician.
Laughter is the best response to absurdity.
The universe is a sheaf over the base of time.
My retreat was a return to the source.
Motives are the atoms of algebraic geometry.
Why fight the tide when you can ride it?
The child in me never died; it just hid from the world.
Derivators capture the essence of homotopy.
Silence is the loudest protest.
The Weil conjectures were proven in the language of schemes.
I built cathedrals in the sky of mathematics.
Friends turned to enemies faster than theorems to proofs.
The Grothendieck ring is the soul of varieties.
Life's meaning is found in the pursuit, not the prize.
Yoneda's lemma is the key to understanding functors.
The hermit finds truth where the crowd sees chaos.
Crystals in positive characteristic illuminate the whole.
Humor is the spice of solitude.
The base change is the heart of relative geometry.
Contemporaries of Alexander Grothendieck
Other Mathematicss born within 50 years of Alexander Grothendieck (1928–2014).