Documented path
Born in Etobicoke, Ontario, Vakil attended Martingrove Collegiate Institute where he won several math contests. He represented Canada at three IMOs (1986-88), winning silver, gold with perfect score, and gold. At the University of Toronto, he became the fourth person in history to be a four-time Putnam Fellow. He completed his BSc and MSc by 1992 and earned his PhD from Harvard in 1997 under Joe Harris.
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.'
Where the conditions came from
Each is placed on a −1 to 3 scale from documented evidence, and the three are never added together. A combined total would rank Ravi Vakil against other people. Held apart, they explain why this path ran differently from another one—which is the only comparison this project supports.
The marble itself
+3Tailwind
What capability, drive, or early skill is documented in the person rather than their surroundings?
Won IMO silver (1986), gold with perfect score (1987), and gold (1988) — three consecutive IMOs. Four-time Putnam Fellow (only the fourth person in history to achieve this). Featured in Toronto Star at 18. Exceptional mathematical competition ability at the highest level from high school through university.
Where it was dropped
+2Tailwind
What money, family standing, network, or permission was already in place before the work began?
Father was a professor of preventative medicine at the University of Toronto. Mother was a high school math teacher. Academic household with direct mathematical proximity through mother's teaching. Parents never pushed him at math but provided an intellectually rich environment.
The shape of the track
+2Tailwind
What place, timing, institution, or peer group made the next step available?
Martingrove Collegiate Institute in Etobicoke, then University of Toronto (BSc, MSc) with strong math competition culture. Harvard PhD under Joe Harris. The University of Toronto's mathematical ecosystem and the Canadian IMO team provided strong peer and mentor support.
A −1 is a documented headwind, not a missing value; a 0 means the sources record nothing notable either way. Annotation confidence: High. These are analyst readings of what the sources record, not measurements of merit, talent, or effort. The twenty-two scored dimensions remain available inside the deeper research detail.
What moved through the conditions
Silence in a biography is not evidence that perseverance was absent.
A successful-only archive cannot recover all encounters, avoided setbacks, or alternative outcomes.
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: source_verified · status: subagent_researched_beta