# Ralph E. Gomory

> American mathematician

**Wikidata**: [Q2129578](https://www.wikidata.org/wiki/Q2129578)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Ralph_E._Gomory)  
**Source**: https://4ort.xyz/entity/ralph-e-gomory

## Summary
Ralph E. Gomory is an American mathematician and computer scientist renowned for his foundational work in integer programming and optimization. A former IBM executive and president of New York University, he received the National Medal of Science in 1988 for his contributions to mathematics and industrial research. His algorithms remain critical in operations research and computer science.

## Biography
- **Born**: May 7, 1929, Brooklyn Heights, New York  
- **Nationality**: United States  
- **Education**:  
  - George School (high school)  
  - Williams College  
  - Princeton University (Ph.D. under Solomon Lefschetz)  
- **Known for**: Developing the Gomory cutting-plane method for integer programming  
- **Employer(s)**: IBM (senior executive), New York University (president, 1990–1999)  
- **Field(s)**: Mathematics, computer science, operations research  

## Contributions  
Gomory’s most notable contribution is the **Gomory cutting-plane algorithm** (1960s), a breakthrough in solving integer linear programming problems. This method enabled efficient solutions to optimization challenges in logistics, manufacturing, and telecommunications. At IBM, he led research divisions and fostered collaborations between academia and industry. He co-authored *Some Recent Advances in Linear Programming* (1960) and *Integer Programming: Impact, Achievements, and Prospects* (1978). His work laid the groundwork for modern optimization software used in supply chain management and resource allocation. As NYU president, he expanded interdisciplinary programs and strengthened the university’s scientific research infrastructure.

## FAQs  
### Q: What is Ralph E. Gomory best known for?  
A: He is best known for inventing the Gomory cutting-plane method, a foundational algorithm in integer programming, and for his leadership roles at IBM and New York University.  

### Q: What major awards has Gomory received?  
A: He received the National Medal of Science (1988), the John von Neumann Theory Prize (1984), and the Heinz Award (1998), among others.  

### Q: What was Gomory’s role at IBM?  
A: He served as a senior vice president and director of research, driving advancements in computer science and industrial applications of mathematics.  

## Why They Matter  
Gomory’s algorithms transformed optimization from a theoretical discipline into a practical tool for industries worldwide. His leadership at IBM bridged academic research and corporate innovation, shaping the development of computing technologies. As NYU president, he championed interdisciplinary education, influencing generations of scientists and engineers. Without his contributions, fields like logistics, finance, and artificial intelligence would lack critical tools for solving complex optimization problems efficiently.

## Notable For  
- **National Medal of Science** (1988) for contributions to mathematics and industrial research.  
- **John von Neumann Theory Prize** (1984) for pioneering work in integer programming.  
- **President of New York University** (1990–1999), expanding its scientific and engineering programs.  
- **IBM Fellow** and senior executive, leading research initiatives in computer science.  
- **Member** of the National Academy of Sciences, National Academy of Engineering, and American Academy of Arts and Sciences.  

## Body  
### Early Life and Education  
Born in Brooklyn Heights, New York, on May 7, 1929, Gomory attended George School and later graduated from Williams College. He earned his Ph.D. in mathematics from Princeton University under the supervision of Solomon Lefschetz.  

### Career  
Gomory joined IBM in 1959, rising to senior vice president and director of research. He led teams developing optimization algorithms and fostering partnerships between academia and industry. In 1990, he became president of New York University, serving until 1999 and prioritizing STEM education.  

### Research and Innovations  
- **Gomory Cutting-Plane Method** (1960s): A seminal algorithm for solving integer linear programming problems, enabling advancements in operations research.  
- **Optimization Theory**: His work underpins software used in supply chain management, scheduling, and resource allocation.  
- **Publications**: Authored over 100 papers and books, including *Integer Programming and Network Flows* (with T. C. Hu, 1964).  

### Leadership and Legacy  
Gomory’s tenure at IBM emphasized long-term research investments, contributing to breakthroughs in computing and data analysis. At NYU, he established interdisciplinary institutes and strengthened faculty recruitment. His advocacy for science education and policy influenced national debates on innovation and economic growth.  

### Awards and Honors  
- **National Medal of Science** (1988)  
- **John von Neumann Theory Prize** (1984)  
- **Heinz Award** (1998)  
- **Fellow**, Econometric Society (1972)  
- **Member**, National Academy of Sciences (1972), National Academy of Engineering (1975)  

### Erdős Number  
Gomory has an Erdős number of 2, reflecting his collaboration with prominent mathematicians.

## References

1. Integrated Authority File
2. [Source](https://www.nsf.gov/honorary-awards/national-medal-science/recipients?query=gomory)
3. [Ralph E. Gomory](https://www.informs.org/Recognizing-Excellence/Award-Recipients/Ralph-E.-Gomory)
4. [Legacy Awards - Best Practices in Digital Innovation](https://www.iriweb.org/about/awards/)
5. [Source](https://www.econometricsociety.org/society/organization-and-governance/fellows/current)
6. [Source](https://www.heinzawards.org/pages/ralph-gomory)
7. [Frederick W. Lanchester Prize](https://www.informs.org/Recognizing-Excellence/INFORMS-Prizes/Frederick-W.-Lanchester-Prize)
8. [Source](https://www.computer.org/volunteering/awards/goode)
9. [Source](https://alumni.princeton.edu/our-community/awards/james-madison-medal)
10. International Standard Name Identifier
11. Virtual International Authority File
12. CiNii Research
13. [Ralph E. Gomory – NAS](https://www.nasonline.org/directory-entry/ralph-e-gomory-riiy8d/)
14. [Ralph Edward Gomory | American Academy of Arts and Sciences](https://www.amacad.org/person/ralph-edward-gomory)
15. [Professor Ralph E. Gomory](https://www.nae.edu/29304/Professor-Ralph-E-Gomory)
16. NNDB
17. IdRef
18. Mathematics Genealogy Project
19. National Library of Israel Names and Subjects Authority File