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)
God whispers through equations.
I left the institute because purity demanded it.
The topos of sets is but a shadow of the true topos.
Reflections are the seeds of new harvests.
The pain of genius is the isolation it brings.
L-adic cohomology bridges number fields and geometry.
Why rush when eternity awaits?
Mathematics is my religion, abstraction my prayer.
The stack is the future of moduli.
In solitude, the mind blooms.
The descent is the ascent in disguise.
Betrayals are the thorns in the garden of collaboration.
The Riemann-Roch theorem sings in the language of sheaves.
Life is a long proof with many lemmas.
The infinite is the canvas of the finite.
Hodge theory in complex geometry is pure poetry.
I chose silence over compromise.
The category of schemes is vast and beautiful.
Wit is the mathematician's escape from rigor.
The universe unfolds like a fibration.
Contemporaries of Alexander Grothendieck
Other Mathematicss born within 50 years of Alexander Grothendieck (1928–2014).