In this biography
Quick facts
- Born
- 23 February 1951
- Birthplace
- Nagoya, Japan
- Country
- Japan
- Nationality
- Not independently established
- Known for
- Three-dimensional birational geometry
- Doctoral institution
- Kyoto University
- Collaborative book
- With János Kollár, 1998
Why this life matters
His work connects classification with the transformations needed to compare different models of a geometric object.
Timeline
Key moments
Doctorate
Receives Kyoto’s science doctorate.
Institute leadership
Directs RIMS.
Training and early research
Born in Nagoya, Mori studied at Kyoto University and completed his doctorate in 1978 under Masayoshi Nagata. His thesis concerned endomorphism rings of abelian varieties. He combined Japanese appointments with extended research visits in the United States.
Sources for this section: [1]
From tangent bundles to classification
His proof of the Hartshorne conjecture identified projective spaces among smooth projective varieties through the ampleness of their tangent bundles. His later work helped move the classification of algebraic varieties beyond surfaces into dimension three.
Classification is more demanding than naming shapes. It requires precise ways of deciding which models are related and what changes preserve the relevant structure.
Sources for this section: [1]
The flip theorem and its collaborators
RIMS identifies the three-dimensional flip theorem as a central result and explicitly places it on work by M. Reid, X. Benveniste, Y. Kawamata, V. Shokurov, J. Kollár, Y. Miyaoka and others.
His 1998 book with Kollár organised birational geometry for later researchers. The collaboration shows how a major theorem also becomes a shared language and a teachable programme.
Research leadership after the medal
Mori received the Fields Medal in 1990, the year he moved from Nagoya to Kyoto’s RIMS. He directed RIMS in 2011–2014 and took a Kyoto University Institute for Advanced Study leadership appointment in 2016.
The RIMS research profile also describes finer questions about flips, divisorial contractions and conic bundles. These are specific research directions, not a claim that every classification problem has been completed.
Quick answers
Frequently asked questions about Shigefumi Mori
- Did this research develop in isolation?
- No. His institutional profile names several researchers whose work underpins the flip theorem.
Keep exploring
Lives connected to this story
- Heisuke Hironaka
Separate resolution from classification.
- Kunihiko Kodaira
Read about an earlier classification programme.
Sources and further reading
Explore the evidence
These references support the biography and offer further reading. Official records, first-person accounts and independent reporting provide different perspectives; image records document attribution and licensing.
- 1. J. J. O’Connor and E. F. Robertson / University of St AndrewsShigefumi Mori: biography
- 2. RIKEN iTHEMSShigefumi Mori: member and career record
Appointments are described by their dated records; an old or undated profile is not used to infer uninterrupted current office.
- 3. Research Institute for Mathematical Sciences, Kyoto UniversityMORI, Shigefumi: research
The short research profile was read, not the original flip proof or the complete coauthored monograph.
- 4. Konrad Jacobs / MFO Photo CollectionEdward Witten and Shigefumi Mori: photo 8660
