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)
Life is the ultimate topos.
The Swan conductor detects wildness.
Comebacks are for those who stay in the ring.
The Artin reciprocity is the handshake of fields.
Wisdom is seeing the scheme behind the points.
The gerbe covers the secrets of gerbes.
The journey inward is the longest.
The crystalline site crystallizes truth.
Humor heals the wounds of intellect.
The exact sequence chains the exact.
Art and math dance in abstraction.
The end is the beginning of reflection.
The Witt vectors vector the p-adic.
Solitude's gift is clarity.
The Langlands program echoes Grothendieck's dreams.
Jokes lighten the load of lemmas.
The Serre duality pairs the dual.
Meaning is the motive behind it all.
The recluse finds the universal in the particular.
The de Rham-Witt complex complexes the complex.
Contemporaries of Alexander Grothendieck
Other Mathematicss born within 50 years of Alexander Grothendieck (1928–2014).