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)
Reflections on the edge of infinity.
The Brauer-Manin obstruction obstructs the Manin.
The interesting lies in the unknown.
The tame ramification tames the tame.
Joke: Why did the scheme cross the road? To functor the other side.
The wild ramification wilds the wild.
Meaning is woven from threads of curiosity.
The conductor ideal conducts the ideal.
The last quote: Farewell to forms.
The differentiel measures the difference.
Wisdom: Embrace the abstract.
The logarithmic structure structures the log.
The harvest reaps the sown.
The tor functor tors the tor.
Life's humor is in its ironies.
The ext group exts the ext.
The profound silence of the woods.
The hom space homs the hom.
Art imitates math in patterns.
The end of the proof is the beginning.
Contemporaries of Alexander Grothendieck
Other Mathematicss born within 50 years of Alexander Grothendieck (1928–2014).