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)
Wit is the short proof to a long theorem.
The étale morphism maps the étale.
Life's profundity lies in its simplicities.
The Tannakian category categorizes the group.
The final harvest is the self.
The nearby cycles cycle the nearby.
In math, as in life, the abstract liberates.
The vanishing cycles vanish the vanishing.
Comeback: I never left; you did.
The rigid cohomology rigidifies the rigid.
Wisdom grows in the garden of patience.
The arithmetic site sites the arithmetic.
The seeds of yesterday bloom tomorrow.
The fundamental group sees the loops.
Life's art is in the living.
The pro-étale topology tops the pro.
Humor is the universal functor.
The Kummer sequence sequences the Kummer.
The profound is often the simple.
The inertia group guards the ramification.
Contemporaries of Alexander Grothendieck
Other Mathematicss born within 50 years of Alexander Grothendieck (1928–2014).