Explore
Andrew Wiles
Category: Number Theory, Proofs
Wiles solved Fermat's Last Theorem, a problem that had puzzled mathematicians for over 350 years. His proof, which involved modular forms and elliptic curves, marked a monumental achievement in number theory.
Video Recommendation
Podcast Recommendation
Undiscovered Possible Innovation
Further applications of Wiles' proof in cryptography and quantum computing
Research Opportunities
Exploring deeper connections between elliptic curves, modular forms, and cryptography
Patents (if any)
No patents
Lessons to Learn
“The perseverance required to solve long-standing problems in mathematics.”
Startups in this Space
Startups in cryptography, AI-based theorem proving, and advanced mathematics
PRUTL DIMENSIONS
Peace
The proof brought peace to the mathematical community, finally resolving the Fermat conjecture.
Respect
Wiles is respected for his dedication and innovation in solving an extremely challenging mathematical problem.
Unity
His achievement united mathematicians across the world, from different areas of expertise.
Trust
The trust placed in his work by the mathematical community resulted in his proof being accepted globally.
Love
His passion for mathematics led to a lifelong commitment to solving complex problems.
Pride
Wiles takes pride in his contribution to mathematics and the Fermat's Last Theorem saga.
Rule
Wiles rewrote the rulebook on how to approach ancient mathematical problems.
Usurp
He disrupted long-standing assumptions about Fermat’s Last Theorem, challenging conventional wisdom.
Tempt
Overcame the temptation to give up after numerous failures and continued pursuing the solution.
Lust
The desire for mathematical elegance drove him to find a profound solution to the problem.
Protector
Wiles protected the integrity of his proof by ensuring its rigor and correctness.
Recycling
His proof has been integrated into modern mathematics and serves as a building block for further research.
Positive Utility
The Fermat’s Last Theorem proof serves as a model for mathematical problem-solving in many fields.
Tangibility
Tangibly reshaped the field of number theory and became a landmark achievement in mathematical history.
Longevity
Wiles’ proof will continue to influence mathematics for generations to come.
Possession
The proof belongs to the mathematical community and is foundational to the field.
Rot
The problem no longer "rots" as it has been resolved, but its legacy lives on in mathematical thought.
Negative Utility
The solution has utility for future generations of mathematicians in their work on related problems.
Trade
Mathematical trade between different fields has been enhanced by Wiles’ work.
Lessen
His success has inspired future mathematicians to solve other longstanding problems.
PASSION DIMENSIONS
Probing
Wiles’ curiosity was sparked by the longstanding mystery of Fermat's Last Theorem.
Innovating
Wiles combined modular forms with elliptic curves, using groundbreaking techniques to solve a centuries-old problem.
Acting
Actively engaged with mathematical community to verify and validate his work, leading to the final breakthrough.
Scoping
Extensively researched mathematical literature on the connections between number theory, elliptic curves, and modular forms.
Setting
Established a rigorous framework for future number theory research, connecting different mathematical fields.
Owning
Wiles’ proof remains a key piece of modern mathematical theory.
Nurturing
Inspired future generations of mathematicians, encouraging interdisciplinary work.