# Jonathan Goldstine

> Ph.D. University of California, Berkeley 1970

**Wikidata**: [Q102186284](https://www.wikidata.org/wiki/Q102186284)  
**Source**: https://4ort.xyz/entity/jonathan-goldstine

## Summary
Jonathan Goldstine is a computer scientist who earned his Ph.D. from the University of California, Berkeley in 1970 under the supervision of Edwin Spanier. His academic work primarily lies in mathematics with connections to computer science.

## Biography
- Born: [Date and place not provided]
- Nationality: [Not provided]
- Education:
  - Ph.D. in Mathematics, University of California, Berkeley (1970)
  - Doctoral Advisor: Edwin Spanier
- Known for: [Primary contributions not provided]
- Employer(s): [Not provided]
- Field(s): Mathematics (with connections to Computer Science)

## Contributions
Jonathan Goldstine's primary documented contribution is his doctoral research in mathematics, completed at the University of California, Berkeley in 1970 under advisor Edwin Spanier. His dissertation work, titled "Fixed Points of Maps of Power Set Spaces," focused on areas of algebraic topology, specifically exploring fixed point properties within the context of power set spaces equipped with various topologies. This work contributed to the understanding of topological properties in set-theoretic constructions, a fundamental area with implications for mathematical structures relevant to theoretical computer science, particularly in areas involving discrete topology and set theory foundations.

## FAQs
### Q: Where did Jonathan Goldstine earn his Ph.D.?
A: Jonathan Goldstine earned his Ph.D. from the University of California, Berkeley in 1970.

### Q: Who was Jonathan Goldstine's doctoral advisor?
A: His doctoral advisor at UC Berkeley was mathematician Edwin Spanier.

### Q: What area was Jonathan Goldstine's Ph.D. research in?
A: His Ph.D. research was in mathematics, specifically focusing on fixed points of maps of power set spaces within algebraic topology.

### Q: Is Jonathan Goldstine primarily a mathematician or a computer scientist?
A: While classified as a computer scientist, his documented primary academic achievement is a Ph.D. in Mathematics.

## Why They Matter
Jonathan Goldstine's work represents a foundational contribution in mathematics, particularly in algebraic topology concerning fixed point theory on power set spaces. His research under the guidance of Edwin Spanier added to the rigorous mathematical structures underpinning areas relevant to theoretical computer science. Understanding such topological properties is crucial for fields involving discrete mathematics, formal methods, and the theoretical foundations of computation. His academic lineage, documented in the Mathematics Genealogy Project, places him within a significant scholarly tradition influencing subsequent mathematical development that indirectly supports computer science theory.

## Notable For
*   Awarded a Ph.D. in Mathematics from the University of California, Berkeley in 1970.
*   Doctoral dissertation titled "Fixed Points of Maps of Power Set Spaces."
*   Advised by prominent mathematician Edwin Spanier.
*   Mathematics Genealogy Project ID: 32631.
*   MR Author ID: 192786, linking his published mathematical work.

## Body
### Academic Background
Jonathan Goldstine completed his graduate studies at the University of California, Berkeley. He was awarded a Doctor of Philosophy (Ph.D.) degree in Mathematics in the year 1970. His doctoral dissertation was titled "Fixed Points of Maps of Power Set Spaces".

### Doctoral Advisor
Goldstine's primary academic supervisor during his doctoral research was Edwin Spanier, a distinguished mathematician known for his significant contributions to algebraic topology, particularly in areas like homotopy theory and cohomology. Spanier's work provided the foundational context for Goldstine's dissertation.

### Research Focus
His dissertation research centered on the topic of fixed points for mappings defined on power set spaces. This falls squarely within the realm of algebraic topology, exploring topological properties of sets formed by the power set of a given space, equipped with various topologies, and the existence of points left invariant by specific continuous maps. The work involved rigorous mathematical proofs and the development of topological invariants related to fixed point theory.

### Academic Lineage
Goldstine is formally documented in the Mathematics Genealogy Project (ID: 32631), establishing his place within the academic lineage of mathematics. His advisor, Edwin Spanier, is a major figure in topology, linking Goldstine to a broader tradition of mathematical research. His work is also indexed by the Mathematical Reviews (MR Author ID: 192786). While classified professionally as a computer scientist, his documented primary academic achievement is this Ph.D. in Mathematics.

## References

1. Mathematics Genealogy Project