研究
The study of Shimura varieties bridges the gap between arithmetic geometry and automorphic forms.
The study of L-functions is a window into the hidden structure of numbers.
Persistence is key in mathematical research; many great results come from looking at the same problem from different angles over and over again.
Topology is the study of the properties of a figure that are unchanged by any deformation.
Persistence is key in mathematical research; many great results come from long struggles.
I have always preferred working on concrete problems rather than abstract theories.
Algebraic geometry is the study of zeros of polynomials.
We don't do style, we do investigations.
To study history is to learn the grammar of time.
The historian must have some kinship with his subject. The dead will not speak unless they are properly addressed.
Planning to write is not writing. Outlining, researching, talking to people about what you're doing, none of that is writing. Writing is writing.
Success is no accident. It is hard work, perseverance, learning, studying, sacrifice and most of all, love of what you are doing.
Success is no accident. It is hard work, perseverance, learning, studying, sacrifice and most of all, love of what you are doing.
Success is no accident. It is hard work, perseverance, learning, studying, sacrifice and most of all, love of what you are doing.
我没有任何特别的秘诀（用于开发新的证明）……这就是为什么做研究既具有挑战性又具有吸引力的原因。这就像在丛林中迷路，试图利用你能收集到的所有知识来想出一些新的技巧，并且如果运气好的话，你可能会找到出路。
I don't have any particular recipe [for developing new proofs] ... It is the reason why doing research is challenging as well as attractive. It's like being lost in a jungle and trying to use all the knowledge that you can gather to come up with some new tricks, and with some luck you might find a way out.
The study of mathematics is like air or gravity—it is everywhere, and you can't see it, but you know it's there.
The study of the early universe is not just about understanding the past, but also about uncovering the fundamental laws that govern all of reality.
The possibility of finding a planet similar to Earth is what drives our passion for exoplanet research.
The study of exoplanets is a journey of discovery, filled with surprises and challenges that keep us motivated.