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)
My last words on mathematics: it is eternal.
Kähler differentials measure the infinitesimal.
Solitude is the price of vision.
The motive program will unify all.
Laughter echoes in empty halls.
The pullback is the essence of universality.
Truth is a lonely path.
The anabelian conjecture reveals the arithmetic soul.
Memories are the footnotes of life.
The derived category captures homological algebra's heart.
Why conform when you can create?
The site is the foundation of geometry.
In the end, all is geometry.
The child wonders, the adult forgets.
Torsion sheaves tell tales of modulo.
Peace in the forest, war in the mind.
The profinite completion is the shadow of infinity.
Jokes are lemmas in the proof of sanity.
The universal property defines the object.
Life's equation has no closed form.
Contemporaries of Alexander Grothendieck
Other Mathematicss born within 50 years of Alexander Grothendieck (1928–2014).