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)
The lim functor lims the lim.
Comeback to critics: Your words are points, mine schemes.
The colim colims the colim.
The beauty of math is its universality.
The pushout pushes the out.
Wisdom in withdrawal.
The pullout pulls the out.
The interesting quote ends here.
I found myself in a world that was not made for me, and I had to make it for myself.
The objects of mathematics are not given to us, they are constructed by us.
One does not discover new structures. One invents them.
The deeper one goes, the simpler things become.
The strength of a mathematical theory lies in its ability to unify disparate phenomena.
The most powerful tool in mathematics is generalization.
Mathematics is the art of giving the same name to different things.
The true art of mathematics is to find the right definitions.
One should never be afraid of making mistakes, as long as one learns from them.
The most important thing in mathematics is to understand what you are doing.
The path to understanding is often through abstraction.
One must always strive for the greatest possible generality.
Contemporaries of Alexander Grothendieck
Other Mathematicss born within 50 years of Alexander Grothendieck (1928–2014).