# Shigefumi Mori

> Japanese mathematician

**Wikidata**: [Q206215](https://www.wikidata.org/wiki/Q206215)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Shigefumi_Mori)  
**Source**: https://4ort.xyz/entity/shigefumi-mori

## Summary
Shigefumi Mori is a Japanese mathematician renowned for his contributions to algebraic geometry. He is best known for proving the existence of minimal models for three-dimensional algebraic varieties, a landmark achievement in the field. Mori's work has profoundly influenced modern algebraic geometry and earned him the prestigious Fields Medal.

## Biography
- **Born**: February 23, 1951
- **Nationality**: Japanese
- **Education**: 
  - Kyoto University
- **Known for**: Proving the existence of minimal models in three-dimensional algebraic geometry
- **Employer(s)**: 
  - Kyoto University
  - Nagoya University
  - University of Utah
- **Field(s)**: Algebraic geometry

## Contributions
- **Minimal Models Proof**: Demonstrated the existence of minimal models for three-dimensional algebraic varieties, resolving a longstanding problem in algebraic geometry.
- **Mori Theory**: Developed foundational concepts in the study of higher-dimensional algebraic varieties, transforming the field's approach to classification and birational geometry.
- **Fields Medal (1990)**: Awarded for his seminal work on minimal models and the Mori program, which reshaped algebraic geometry research.

## FAQs
### Q: What is Shigefumi Mori's most notable achievement?
A: Mori is best known for proving the existence of minimal models for three-dimensional algebraic varieties, a breakthrough that earned him the 1990 Fields Medal.

### Q: Where has Shigefumi Mori worked?
A: Mori has been affiliated with Kyoto University, Nagoya University, and the University of Utah, among other institutions.

### Q: What field of mathematics is Shigefumi Mori associated with?
A: He specializes in algebraic geometry, focusing on the classification and properties of algebraic varieties.

### Q: What awards has Shigefumi Mori received?
A: Mori received the Fields Medal in 1990 and was honored as a Person of Cultural Merit in Japan.

## Why They Matter
Shigefumi Mori's work revolutionized algebraic geometry by establishing the framework for understanding higher-dimensional algebraic varieties. His proof of minimal models in three dimensions not only resolved a major open question but also laid the groundwork for the Mori program, which continues to drive research in the field. Without Mori's contributions, the classification of algebraic varieties and advancements in birational geometry would lack critical theoretical foundations, impacting areas from topology to theoretical physics.

## Notable For
- **Fields Medal Laureate (1990)**
- **Person of Cultural Merit (Japan)**
- **Development of Mori Theory**
- **Resolution of the Minimal Model Problem in Three Dimensions**
- **Affiliation with Prestigious Universities**: Kyoto University, Nagoya University, University of Utah

## Body
### Early Life and Education
Shigefumi Mori was born on February 23, 1951, in Japan. He pursued his academic career at Kyoto University, where he developed a strong foundation in mathematics, particularly in algebraic geometry.

### Career
Mori's professional journey includes significant roles at:
- **Kyoto University**: A key institution in his academic career, where he contributed to and led research in algebraic geometry.
- **Nagoya University**: Furthering his work in mathematical research and education.
- **University of Utah**: Engaging in collaborative research and international academic exchange.

### Research and Contributions
Mori's research focused on algebraic geometry, with transformative contributions including:
- **Minimal Models in Three Dimensions**: His proof of the existence of minimal models for three-dimensional algebraic varieties addressed a fundamental challenge in the field, enabling new classifications and analyses of geometric structures.
- **Mori Theory and the Mori Program**: By introducing concepts like Mori fiber spaces and log canonical singularities, Mori provided a systematic approach to studying higher-dimensional varieties, influencing generations of mathematicians.

### Awards and Recognition
- **Fields Medal (1990)**: Awarded for his groundbreaking work on minimal models and the Mori program, recognizing his pivotal role in advancing algebraic geometry.
- **Person of Cultural Merit (Japan)**: Honored for his contributions to Japanese academia and culture through mathematical innovation.

### Institutional Affiliations
Mori's affiliations with leading academic institutions—Kyoto University, Nagoya University, and the University of Utah—reflect his global impact and collaborative approach to mathematical research. These connections facilitated the dissemination of his ideas and fostered cross-institutional innovation.

### Legacy
Shigefumi Mori's legacy extends beyond his specific theorems; he reshaped the trajectory of algebraic geometry. His work continues to underpin research in areas such as birational geometry, moduli theory, and arithmetic geometry, ensuring his influence endures in contemporary mathematics. The Mori program, in particular, remains a central focus of study, guiding efforts to classify and understand algebraic varieties in higher dimensions.

## References

1. Integrated Authority File
2. [ORCID Public Data File 2023](https://pub.orcid.org/v3.0/0000-0002-3225-1854/employment/7932752)
3. [ORCID Public Data File 2023](https://pub.orcid.org/v3.0/0000-0002-3225-1854/employment/7932760)
4. [ORCID Public Data File 2023](https://pub.orcid.org/v3.0/0000-0002-3225-1854/employment/7932784)
5. [ORCID Public Data File 2023](https://pub.orcid.org/v3.0/0000-0002-3225-1854/employment/7932780)
6. [ORCID Public Data File 2023](https://pub.orcid.org/v3.0/0000-0002-3225-1854/employment/7932774)
7. [ORCID Public Data File 2023](https://pub.orcid.org/v3.0/0000-0002-3225-1854/employment/7932779)
8. [ORCID Public Data File 2023](https://pub.orcid.org/v3.0/0000-0002-3225-1854/employment/7932769)
9. [ORCID Public Data File 2023](https://pub.orcid.org/v3.0/0000-0002-3225-1854/employment/7932765)
10. Mathematics Genealogy Project
11. International Standard Name Identifier
12. CiNii Research
13. Virtual International Authority File
14. [Personal Information - MORI Shigefumi | The Japan Academy](https://www.japan-acad.go.jp/en/members/4/mori_shigefumi.html)
15. [Shigefumi Mori – NAS](https://www.nasonline.org/directory-entry/shigefumi-mori-lgyi7h/)
16. www.accademiadellescienze.it
17. [Members - European Academy of Sciences. 2022](https://www.eurasc.eu/members/morieurasc-org/member/)
18. Researchmap
19. MacTutor History of Mathematics archive
20. Freebase Data Dumps. 2013
21. IdRef
22. Quora
23. KAKEN