# Alfred Horn

> American mathematician (1918-2001)

**Wikidata**: [Q761863](https://www.wikidata.org/wiki/Q761863)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Alfred_Horn)  
**Source**: https://4ort.xyz/entity/alfred-horn

## Summary
Alfred Horn was an American mathematician (1918–2001) who contributed to lattice theory and computer science. He was affiliated with the University of California, Los Angeles (UCLA) and mentored several doctoral students, including Ali Reza Amir-Moez and Raymond Balbes.

## Biography
- Born: February 17, 1918, Manhattan, New York
- Nationality: United States
- Education: City University of New York, New York University, University of California, Berkeley
- Known for: Research in lattice theory and computer science
- Employer(s): University of California, Los Angeles
- Field(s): Mathematics, computer science

## Contributions
Alfred Horn made significant contributions to lattice theory, a branch of abstract algebra. His work in this field laid the groundwork for advancements in computer science, particularly in the study of computational complexity and algebraic structures. He published extensively and mentored numerous doctoral students, including Ali Reza Amir-Moez, Raymond Balbes, and Geoffrey Thomas Jones. His research in lattices influenced later developments in discrete mathematics and theoretical computer science.

## FAQs
### Q: What was Alfred Horn's primary field of study?
A: Alfred Horn specialized in lattice theory, a subfield of abstract algebra, and made contributions to computer science.

### Q: Where did Alfred Horn work?
A: He was affiliated with the University of California, Los Angeles (UCLA) during his career.

### Q: Who were some of Alfred Horn's doctoral students?
A: His students included Ali Reza Amir-Moez, Raymond Balbes, and Geoffrey Thomas Jones.

### Q: What was Alfred Horn's Erdős number?
A: Alfred Horn had an Erdős number of 2, indicating his connection to the famous mathematician Paul Erdős.

### Q: What was Alfred Horn's date of death?
A: Alfred Horn passed away on April 16, 2001, in Pacific Palisades.

## Why They Matter
Alfred Horn's work in lattice theory and computer science laid foundational groundwork for later advancements in discrete mathematics and computational complexity. His research influenced the development of algebraic structures used in modern computing. As a mentor, he guided several prominent mathematicians and computer scientists, shaping their careers. His contributions remain relevant in theoretical computer science and abstract algebra.

## Notable For
- **Lattice Theory Expert**: Pioneered research in lattice theory, a key area in abstract algebra.
- **UCLA Affiliation**: Spent his academic career at the University of California, Los Angeles.
- **Mentor to Prominent Mathematicians**: Advised notable doctoral students, including Ali Reza Amir-Moez and Raymond Balbes.
- **Erdős Number 2**: Connected to the influential mathematician Paul Erdős through his collaborations.
- **Published Works**: Authored significant papers in lattice theory and computer science.

## Body
### Early Life and Education
Alfred Horn was born on February 17, 1918, in Manhattan, New York. He earned his education at the City University of New York, New York University, and the University of California, Berkeley, establishing a strong foundation in mathematics.

### Academic Career
Horn joined the faculty at the University of California, Los Angeles (UCLA) and became a prominent figure in the mathematics department. His research focused on lattice theory, an abstract algebraic structure with applications in computer science and discrete mathematics.

### Research Contributions
Horn's work in lattice theory contributed to the understanding of computational complexity and algebraic structures. His publications and lectures were widely influential, shaping the field of discrete mathematics.

### Mentorship and Legacy
As a mentor, Horn guided several doctoral students, including Ali Reza Amir-Moez, Raymond Balbes, and Geoffrey Thomas Jones. His Erdős number of 2 reflects his connection to the renowned mathematician Paul Erdős, further cementing his role in the academic community.

### Later Years and Death
Alfred Horn passed away on April 16, 2001, in Pacific Palisades. His legacy continues through his contributions to lattice theory and the mentorship of future mathematicians and computer scientists.

## References

1. Mathematics Genealogy Project
2. Freebase Data Dumps. 2013