Srinivasa Ramanujan
Lived: 1887-1920 Domain: Pure mathematics What they built: Approximately 3,900 mathematical results, many entirely novel — infinite series, continued fractions, number theory, modular forms The cost: Poverty, cultural isolation, illness. Died at 32 of hepatic amoebiasis (likely contracted in England). Said his formulas came from his goddess Namagiri.
The Story
Srinivasa Ramanujan grew up in Kumbakonam, South India. He had almost no formal mathematical training. By the time he was a teenager, he had independently derived results that had taken European mathematicians centuries. He worked as a clerk. In 1913, he wrote to G.H. Hardy at Cambridge, enclosing pages of formulas with no proofs. Hardy later said that some of the results “defeated me completely; I had never seen anything in the least like them before” and that they “must be true, because, if they were not true, no one would have had the imagination to invent them.” Ramanujan traveled to England in 1914. He was vegetarian, Brahmin, alone, cold, and frequently ill. He produced extraordinary mathematics — the Ramanujan conjecture, the Hardy-Ramanujan asymptotic formula, mock theta functions. He returned to India in 1919, ill. He died the next year at 32. His notebooks, filled with thousands of results stated without proof, have kept mathematicians busy for a century. When asked how he arrived at his results, he said the goddess Namagiri showed them to him in dreams.
The World They Lived In
Colonial India under British rule in the 1910s. Ramanujan was a self-taught Brahmin from Tamil Nadu with no formal degree — a clerk in Madras who filled notebooks with theorems no one around him could evaluate. He wrote to Cambridge mathematicians; most ignored him. Hardy recognized the genius in pages of unproved formulas and brought him to England. Ramanujan arrived during the First World War into a country that was cold, rationed, and casually racist. He was vegetarian in a meat-eating society, Hindu in a Christian institution, dark-skinned in imperial Britain. The climate devastated his health. He contracted tuberculosis — or possibly hepatic amoebiasis, the diagnosis remains disputed. He returned to India in 1919, weakened beyond recovery. He died the following year at 32. The notebooks he left behind have kept mathematicians occupied for a century. The empire that ruled his country could not feed him properly.
What They Named
That mathematical structure exists before the mathematician. His results were not constructed — they were received. He saw patterns in numbers that no one else could see, and he reported them honestly, without pretending to have the proofs that European mathematics demanded. The gap between what he saw and what he could formally demonstrate was not dishonesty — it was the limitation of the available language for what he perceived directly.
Connections
- Riemann Hypothesis — Ramanujan’s work on the zeta function and modular forms connects directly; his mock theta functions, defined in his last letter to Hardy, are now central to the field
- Euler’s Identity — Ramanujan discovered identities of comparable depth and beauty; his infinite series for pi converge faster than any previously known
- Proverbs 8 — Wisdom as Pre-Existent Structure — “I was there when he set the heavens in place”; Ramanujan’s account of Namagiri is the same claim in different language
- Mathematics Unreasonable Effectiveness — Wigner’s puzzle: why does mathematics describe reality? Ramanujan deepens the puzzle: why does reality reveal mathematics to a clerk in Kumbakonam?
Their Words
“An equation for me has no meaning unless it expresses a thought of God.”
“While asleep, I had an unusual experience. There was a red screen formed by flowing blood, as it were. I was observing it. Suddenly a hand began to write on the screen. I became all attention. That hand wrote a number of elliptic integrals. They stuck to my mind. As soon as I woke up, I committed them to writing.”
Every stone was placed by a person. The names matter.