8/24 starting-position score
Strongest documented signals: Elite institution pipeline, Prodigy / innate ability, Family financial platform.
Describes the starting position, not what the person later made of it.
Born in 1970 in Etobicoke, Ontario, Canada; father was a professor of preventive medicine at the University of Toronto and mother was a high school math teacher.
Professor of Mathematics at Stanford University and current president of the American Mathematical Society; author of 'The Rising Sea: Foundations of Algebraic Geometry.'
Strongest documented signals: Elite institution pipeline, Prodigy / innate ability, Family financial platform.
Describes the starting position, not what the person later made of it.
Strongest observed levers:Domain proximity, Started serious reps before 20, Prior reps.
Measures what was present, not whether it was inherited, earned, self-built, external, or mixed.
The timeline below shows the sequence of work and transitions around the selected early milestone. It is evidence of a path, not proof that every step was necessary.
Notable and widely recognized within the domain. The tier summarizes documented career recognition through the data cutoff—not Ravi Vakil's worth or future potential.
Question four · where did the leverage come from?
Each non-zero lever gets a best-supported origin, evidence signals, and confidence. Unresolved is the honest default when the biography cannot distinguish self-built, advantage-enabled, earned, external, or mixed.
One or more documented starting advantages plausibly enabled this lever.
One or more documented starting advantages plausibly enabled this lever.
One or more documented starting advantages plausibly enabled this lever.
One or more documented starting advantages plausibly enabled this lever.
One or more documented starting advantages plausibly enabled this lever.
One or more documented starting advantages plausibly enabled this lever.
One or more documented starting advantages plausibly enabled this lever.
A structural wave is external to the person, even when their position improved access to it.
This is a bounded inference from the current annotations—not a claim about private effort, merit, or the percentage of Ravi Vakil's outcome attributable to any origin.
Structural luck, Encounter luck, Event luck, Outcome variance can change every arrow in the path. This successful-only dataset cannot observe the near-identical paths that did not break through, so luck stays visible and unscored.
Multiplying capacity documented later in the path. Measures what was present, not whether it was inherited, earned, self-built, external, or mixed.
Access or conditions documented near the beginning of the path. Zero means "no clear evidence in reviewed sources," not "advantage was absent."
Born in Etobicoke, Ontario; father was a professor of preventive medicine at the University of Toronto and mother was a high school math teacher.
Father was a university professor (preventive medicine) and mother was a high school mathematics teacher, providing both an academic household environment and direct mathematical instruction from his mother.
Ravi Vakil's mathematical talent was evident from high school, where he won IMO gold medals including a perfect score in 1987. His mother, a high school math teacher, and father, a university professor, provided an academically oriented household. At the University of Toronto, he became only the fourth four-time Putnam Fellow in the competition's history. He completed his BSc and MSc by 22 and earned his PhD from Harvard in 1997, later becoming a professor at Stanford and president of the AMS.
advantage confidence: High · source count: 3 · audit: not_independently_audited · status: subagent_researched_beta