# Kunihiko Kodaira

> Japanese mathematician (1915–1997)

**Wikidata**: [Q333918](https://www.wikidata.org/wiki/Q333918)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Kunihiko_Kodaira)  
**Source**: https://4ort.xyz/entity/kunihiko-kodaira

## Summary
Kunihiko Kodaira was a Japanese mathematician renowned for his foundational contributions to algebraic geometry. Born in 1915, he is celebrated for developing the Kodaira embedding theorem and the Enriques–Kodaira classification of algebraic surfaces, which remain central to modern mathematics. His work significantly advanced the field of complex manifolds and influenced generations of mathematicians.

## Biography
- **Born**: March 16, 1915
- **Nationality**: Japanese
- **Education**: University of Tokyo (degrees unspecified in source material)
- **Known for**: Kodaira embedding theorem, Enriques–Kodaira classification, and research on complex manifolds
- **Employer(s)**: University of Tokyo, Stanford University, Institute for Advanced Study, Johns Hopkins University, Gakushuin University
- **Field(s)**: Algebraic geometry, complex manifolds

## Contributions
- **Kodaira Embedding Theorem (1950s)**: Characterized projective algebraic varieties among compact Kähler manifolds, resolving key questions in complex geometry.
- **Enriques–Kodaira Classification**: Systematized the classification of algebraic surfaces, building on Federigo Enriques' work and introducing the Kodaira dimension.
- **Complex Manifolds Research**: Pioneered studies on deformations and moduli spaces, foundational to modern differential and algebraic geometry.
- **Academic Leadership**: Served as a professor at the University of Tokyo and Gakushuin University, shaping Japan's mathematical research landscape.

## FAQs
### What are Kunihiko Kodaira's major mathematical contributions?
Kodaira is best known for the Kodaira embedding theorem, the Enriques–Kodaira classification of algebraic surfaces, and his work on complex manifolds, which reshaped algebraic geometry.

### Where did Kunihiko Kodaira work?
He held positions at the University of Tokyo, Stanford University, the Institute for Advanced Study, Johns Hopkins University, and Gakushuin University, among others.

### What awards did Kunihiko Kodaira receive?
Kodaira was awarded the Fields Medal (1954), the Order of Culture (Japan), the Wolf Prize in Mathematics, and the Japan Academy Prize, recognizing his global impact on mathematics.

### How did Kodaira influence algebraic geometry?
His classification of algebraic surfaces and embedding theorem provided critical tools for studying complex manifolds, directly influencing contemporary research in geometry and topology.

## Why They Matter
Kunihiko Kodaira's work laid the groundwork for modern algebraic geometry, particularly through the Kodaira embedding theorem and the Enriques–Kodaira classification. These contributions enabled deeper understanding of complex manifolds and algebraic varieties, impacting fields from topology to theoretical physics. His research not only advanced mathematical theory but also fostered international collaboration, bridging Japanese and Western mathematical traditions. Without Kodaira, key developments in moduli theory and the geometry of algebraic surfaces would lack their foundational framework.

## Notable For
- **Fields Medal (1954)**: Recognized for his transformative work in algebraic geometry.
- **Kodaira Dimension**: A concept central to the classification of algebraic varieties.
- **Leadership in Japanese Mathematics**: Contributed to the global prominence of Japanese mathematical research through his academic roles.
- **Interdisciplinary Influence**: His research on complex manifolds influenced theoretical physics, particularly string theory.

## Body

### Early Life and Education
Kunihiko Kodaira was born on March 16, 1915, in Japan. He pursued his academic career at the University of Tokyo, where he developed a strong foundation in mathematics, though specific details of his degrees are not provided in the source material.

### Career and Academic Roles
Kodaira's professional trajectory included:
- **University of Tokyo**: Served as a professor, contributing to the institution's reputation in mathematical research.
- **Stanford University and Institute for Advanced Study**: Engaged in collaborative research during visits to these institutions, enriching his global academic network.
- **Johns Hopkins University and Gakushuin University**: Held positions that reinforced his role as a bridge between Japanese and international mathematical communities.

### Key Contributions
- **Kodaira Embedding Theorem**: Established criteria for embedding compact Kähler manifolds into projective space, resolving a major question in complex geometry.
- **Enriques–Kodaira Classification**: Expanded Federigo Enriques' work by introducing the Kodaira dimension, enabling a comprehensive classification of algebraic surfaces.
- **Complex Manifold Theory**: Advanced the study of deformations and moduli spaces, critical to modern geometric research.

### Awards and Recognition
Kodaira's accolades include:
- **Fields Medal (1954)**: Awarded for his seminal contributions to algebraic geometry.
- **Order of Culture (Japan)**: Honored for his cultural and academic impact.
- **Wolf Prize in Mathematics**: Recognized internationally for his lifetime achievements.
- **Japan Academy Prize**: Acknowledged for his contributions to Japanese academia.

### Legacy and Influence
Kodaira's work remains fundamental to algebraic geometry, with the Kodaira embedding theorem and Enriques–Kodaira classification serving as cornerstones of the field. His research influenced mathematicians such as David Mumford and Shing-Tung Yau, extending to applications in theoretical physics. The Kodaira dimension, a measure of the complexity of algebraic varieties, continues to guide research in geometry and topology. Through his academic leadership and international collaborations, Kodaira strengthened Japan's position in global mathematics, fostering a legacy of rigorous, innovative research.

## References

1. Integrated Authority File
2. Czech National Authority Database
3. MacTutor History of Mathematics archive
4. [Source](https://books.google.cat/books?id=qUVpDQAAQBAJ&pg=PA55)
5. [Source](https://www.ias.edu/scholars/kunihiko-kodaira)
6. Mathematics Genealogy Project
7. International Standard Name Identifier
8. CiNii Research
9. Virtual International Authority File
10. [Deceased Members: K,L | The Japan Academy](https://www.japan-acad.go.jp/en/members/bukko/k_gyo.html)
11. Encyclopædia Britannica Online
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14. Croatian Encyclopedia
15. Freebase Data Dumps. 2013
16. [Source](https://books.google.cat/books?id=cSUSUfvT3PoC&pg=PA628)
17. IdRef
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21. Catalogo of the National Library of India