PeopleofSuperintelligence

Researcher

Dan Goldston

Also known as Daniel Alan Goldston, Daniel Goldston

Dan Goldston is a mathematician at San José State University whose work covers the gaps between prime numbers and the zeros of the Riemann zeta function. He earned his PhD at UC Berkeley in 1981 and began working at San José State in 1983. In 2005 he and three co-authors posted an alternative proof of a result on prime gaps. The Cole Prize honored him in 2014, shared with Yitang Zhang, Cem Yıldırım and János Pintz. In August 2026 Anthropic thanked him as one of two experts who examined Claude's paper, and as of October 2026 he is a professor of mathematics at San José State University.

Timeline

  1. 1972–1981

    A doctorate at Berkeley

    He enters UC Berkeley in 1972 and earns a PhD in mathematics there in 1981.

  2. 1981–1983

    Duluth, then Princeton

    He works at the University of Minnesota Duluth after earning his doctorate and spends the 1982–83 academic year at the Institute for Advanced Study in Princeton.

  3. 1983

    Working at San José State

    He begins work at San José State University in 1983, with stints at the IAS in 1990, the University of Toronto in 1994 and the Mathematical Sciences Research Institute in Berkeley in 1999.

  4. June 2005

    Small gaps between primes

    In June 2005 he and three co-authors post 'Small gaps between primes or almost primes' on arXiv, giving an alternative proof of a result on prime gaps.

  5. 2014

    A Cole Prize in number theory

    He receives the Cole Prize in 2014, shared with Yitang Zhang, Cem Yıldırım and János Pintz, for contributions to number theory.

  6. 2025

    Two papers on zeta zeros

    In 2025 he and five other mathematicians place two papers on the arXiv about the zeros of the Riemann zeta function.

  7. August 2026

    Reviewing Claude's zeta paper

    In August 2026 Anthropic thanks two experts, Brian Conrey and Dan Goldston, for examining Claude's paper on the zeros of the Riemann zeta function.

  8. As of October 2026

    Professor at San José State

    He is a professor of mathematics at San José State University.

Sources and credits

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  1. Daniel Goldston - Wikipedia en.wikipedia.org. Checked 14 October 2026.
  2. Goldston, Daniel A | People | San Jose State University sjsu.edu. Checked 14 October 2026.
  3. Small gaps between primes or almost primes arxiv.org. Checked 14 October 2026.
  4. Dan Goldston Website sites.google.com. Checked 14 October 2026.
  5. Claude has improved on a longstanding lower bound for the fraction of zeros of the Riemann zeta function that satisfy the Riemann hypothesis | Anthropic anthropic.com. Checked 14 October 2026.
  6. Anthropic reveals previously unpublished Claude's attempt to solve the Riemann Hypothesis, stating that it is humans' role to keep encouraging AI with phrases like 'Keep going!' and 'Believe in yourself!' - GIGAZINE gigazine.net. Checked 14 October 2026.