# Gorō Shimura

> Japanese mathematician (1930-2019)

**Wikidata**: [Q353411](https://www.wikidata.org/wiki/Q353411)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Goro_Shimura)  
**Source**: https://4ort.xyz/entity/goro-shimura

## Summary
Gorō Shimura was a Japanese mathematician known for his groundbreaking work in number theory, particularly for developing the theory of Shimura varieties and contributing to the Taniyama–Shimura conjecture, which played a crucial role in the proof of Fermat's Last Theorem. He spent much of his career in the United States, teaching at Princeton University and the Institute for Advanced Study.

## Biography
- Born: February 23, 1930
- Nationality: Japanese
- Education: University of Tokyo (graduated)
- Known for: Shimura varieties, Taniyama–Shimura conjecture, automorphic forms
- Employer(s): Princeton University, Institute for Advanced Study, University of Osaka, University of Tokyo, National Center for Scientific Research (CNRS)
- Field(s): Mathematics, number theory

## Contributions
Shimura made fundamental contributions to number theory, including the development of Shimura varieties, which are algebraic varieties with rich symmetry properties connecting number theory and geometry. He formulated the Taniyama–Shimura conjecture (later the modularity theorem), which proposed that every elliptic curve over the rational numbers is modular. This conjecture was pivotal in Andrew Wiles' proof of Fermat's Last Theorem in 1995. Shimura also made significant advances in the theory of automorphic forms and published numerous influential papers and books, including "Introduction to the Arithmetic Theory of Automorphic Functions" (1971).

## FAQs
**What is Gorō Shimura best known for in mathematics?**
Shimura is best known for developing the theory of Shimura varieties and formulating the Taniyama–Shimura conjecture, which connected elliptic curves and modular forms and was essential to proving Fermat's Last Theorem.

**Where did Gorō Shimura work during his career?**
Shimura worked at several prestigious institutions including Princeton University, the Institute for Advanced Study in Princeton, the University of Osaka, the University of Tokyo, and the National Center for Scientific Research (CNRS) in France.

**What awards did Gorō Shimura receive?**
Shimura received numerous honors including the Asahi Prize, the Fujihara Award, and a Guggenheim Fellowship, recognizing his profound contributions to mathematics.

**How did Shimura's work influence Fermat's Last Theorem?**
Shimura's Taniyama–Shimura conjecture (modularity theorem) established that elliptic curves are modular, which Andrew Wiles used as a crucial step in his proof of Fermat's Last Theorem in 1995.

## Why They Matter
Gorō Shimura's work fundamentally transformed number theory by creating deep connections between seemingly disparate areas of mathematics. His theory of Shimura varieties provided a powerful framework linking algebraic geometry, number theory, and representation theory, influencing generations of mathematicians. The Taniyama–Shimura conjecture he formulated became one of the most important problems in 20th-century mathematics, and its eventual proof resolved a 350-year-old mathematical mystery. Shimura's rigorous approach and profound insights helped establish automorphic forms as a central tool in modern number theory, with applications extending to the Langlands program and beyond.

## Notable For
- Developing the theory of Shimura varieties, connecting number theory and algebraic geometry
- Formulating the Taniyama–Shimura conjecture (modularity theorem), crucial to proving Fermat's Last Theorem
- Making fundamental contributions to the theory of automorphic forms
- Publishing the influential book "Introduction to the Arithmetic Theory of Automorphic Functions" (1971)
- Receiving the Asahi Prize, Fujihara Award, and Guggenheim Fellowship
- Teaching at Princeton University and the Institute for Advanced Study
- Bridging Japanese and American mathematical traditions through his international career

## Body
### Early Life and Education
Gorō Shimura was born on February 23, 1930, in Japan during a period of significant mathematical development in the country. He received his education at the University of Tokyo, one of Japan's most prestigious institutions, where he developed his foundational knowledge in mathematics that would shape his entire career.

### Academic Career in Japan
Shimura began his academic career in Japan, teaching at both the University of Tokyo and the University of Osaka. At these institutions, he began developing his ideas in number theory and automorphic forms, publishing early papers that would establish his reputation in the international mathematical community. His work during this period laid the groundwork for his later, more famous contributions.

### International Career and Princeton Years
In the 1960s, Shimura moved to the United States, joining Princeton University as a faculty member. This move marked a significant expansion of his influence, as Princeton was (and remains) one of the world's leading centers for mathematical research. At Princeton, Shimura continued developing his theories on automorphic forms and Shimura varieties, collaborating with other leading mathematicians of the era.

### Institute for Advanced Study
Shimura also held a position at the Institute for Advanced Study in Princeton, an independent research institution that has hosted many of the 20th century's greatest mathematicians, including Albert Einstein and Kurt Gödel. The IAS provided Shimura with an environment to pursue pure theoretical research without teaching obligations, allowing him to focus intensely on his mathematical investigations.

### Work in France
Later in his career, Shimura worked with the National Center for Scientific Research (CNRS) in France, demonstrating his international reputation and the global nature of his mathematical influence. This position connected him with the European mathematical community and allowed him to collaborate with French mathematicians working in related areas.

### Mathematical Contributions
Shimura's most significant contribution was the development of Shimura varieties, which are algebraic varieties that possess rich symmetry properties. These varieties connect number theory with algebraic geometry and representation theory, creating a powerful framework that has become central to modern arithmetic geometry. His work showed how these geometric objects could encode deep number-theoretic information.

The Taniyama–Shimura conjecture, which Shimura formulated in the 1950s, proposed that every elliptic curve over the rational numbers is modular. This was a radical idea at the time, suggesting a profound connection between two seemingly unrelated areas of mathematics. The conjecture remained unproven for decades until Andrew Wiles, building on work by many mathematicians including Ken Ribet, proved enough of it to establish Fermat's Last Theorem.

Shimura also made fundamental contributions to the theory of automorphic forms, which are functions on geometric spaces with special symmetry properties. His book "Introduction to the Arithmetic Theory of Automorphic Functions" became a standard reference in the field and helped establish automorphic forms as essential tools in number theory.

### Publications and Books
Throughout his career, Shimura published extensively in leading mathematical journals. His book "Introduction to the Arithmetic Theory of Automorphic Functions" (1971) is considered a classic in the field and has educated generations of mathematicians. He also authored numerous research papers that developed the theory of Shimura varieties and explored various aspects of automorphic forms and Galois representations.

### Awards and Recognition
Shimura's contributions were recognized with several prestigious awards. The Asahi Prize, one of Japan's most distinguished scientific awards, honored his mathematical achievements. The Fujihara Award, another significant Japanese scientific honor, recognized his contributions to mathematical research. His Guggenheim Fellowship demonstrated his standing in the international scientific community and provided support for his research activities.

### Legacy and Influence
Shimura's work continues to influence mathematics decades after its initial development. The theory of Shimura varieties remains an active area of research, with applications to the Langlands program, Galois representations, and arithmetic geometry. His formulation of the modularity theorem created a bridge between different areas of mathematics that mathematicians continue to explore and expand upon.

Many of Shimura's students and collaborators have gone on to become leading mathematicians themselves, extending his ideas in new directions. His rigorous approach to mathematics and his ability to see deep connections between different areas have made him a model for mathematicians working in number theory and related fields.

### Personal Characteristics
Colleagues describe Shimura as a meticulous and rigorous mathematician who valued precision and clarity in mathematical exposition. His work is characterized by deep insight combined with careful technical execution. He was known for his ability to identify fundamental problems and develop innovative approaches to solving them.

### Death and Posthumous Recognition
Gorō Shimura passed away on May 3, 2019, leaving behind a legacy that continues to shape modern mathematics. His contributions are regularly cited in current research, and his ideas remain central to many active areas of investigation in number theory and arithmetic geometry. The mathematical community continues to celebrate his work through conferences, publications, and the ongoing development of the theories he pioneered.

## References

1. MacTutor History of Mathematics archive
2. [Source](https://www.ams.org/notices/202005/rnoti-p677.pdf)
3. [Source](https://www.princeton.edu/news/2019/05/08/goro-shimura-giant-number-theory-dies-89)
4. Czech National Authority Database
5. BnF authorities
6. [Source](https://www.ias.edu/scholars/goro-shimura)
7. [Source](https://www.ams.org/prizes-awards/pabrowse.cgi?parent_id=25)
8. Mathematics Genealogy Project
9. [Source](https://personal.math.ubc.ca/~cass/fuller/fuller.html)
10. International Standard Name Identifier
11. CiNii Research
12. Solomon R. Guggenheim Museum
13. Freebase Data Dumps. 2013
14. Virtual International Authority File
15. [BnF authorities](http://data.bnf.fr/ark:/12148/cb12484438j)
16. Autoritats UB
17. Treccani's Enciclopedia on line
18. Catalogo of the National Library of India