Documented path
Avila grew up in Rio de Janeiro, where his father taught him to read and write at age three and introduced him to mathematics. He won IMO gold at 16, earned a scholarship to IMPA where he completed his MS at 18 and PhD at 21 under Welington de Melo, and became a CNRS researcher in Paris.
Born June 29, 1979 in Rio de Janeiro, Brazil; won IMO gold medal at 16 representing Brazil with essentially no team training. Offered a scholarship to study at IMPA (Instituto de Matematica Pura e Aplicada).
Professor at the University of Zurich, Switzerland; Fields Medalist (2014); also holds position at IMPA, Rio de Janeiro.
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 Artur Avila 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?
Father taught him to read and write at 3. Reading math books by 5. Won IMO gold at 16. Completed MS at 18 and PhD at 21 at IMPA. Prodigy-level mathematical ability, largely self-driven.
Where it was dropped
0Neither way
What money, family standing, network, or permission was already in place before the work began?
Parents divorced when he was 8. Father worked in civil service (possibly accounting), mother raised him. No mathematical background in family. Parents encouraged his pursuit but couldn't provide specific guidance. Stable but no domain advantage.
The shape of the track
+2Tailwind
What place, timing, institution, or peer group made the next step available?
Colégio São Bento (elite Benedictine school in Rio). IMPA (Latin America's top math institute) — took master's courses while in high school. Welington de Melo was PhD advisor. Elon Lages Lima taught him topology. CNRS researcher in Paris. Elite school + IMPA + elite mentors.
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
This records repeated behaviour or recovery described by sources; it is not a grit or merit score.
This is an unchosen opening or condition in the record, not an estimate of how much luck caused the outcome.
Strongest documented signals: Elite institution pipeline, Frontier geography, Dedicated mentor / coach.
Describes the starting position, not what the person later made of it.
Strongest observed levers: Started serious reps before 20, Prior reps, Scarce skill depth.
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.
Legendary or globally iconic career standing. The tier summarizes documented career recognition through the data cutoff—not Artur Avila'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.
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 Artur Avila'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 Rio de Janeiro, Brazil; father Raimundo taught him to read and write at age three and first introduced him to mathematics.
Father taught him to read and write at age three and introduced him to mathematics, but is not documented as a mathematician or scientist.
Avila's father introduced him to mathematics at age three, and a high school teacher steered him toward math competitions. He won IMO gold at 16 with minimal national training resources, then earned a scholarship to IMPA where he completed his MS at 18 and PhD at 21 under Welington de Melo. The IMPA-to-CNRS pipeline was critical to his development. Brazil's lack of IMO training infrastructure represents a mild adversity that may have catalyzed his self-reliance.
advantage confidence: Medium · source count: 4 · audit: source_verified · status: subagent_researched_beta