# Hai-Ning Liu

> Ph.D. University of California, San Diego 1993

**Wikidata**: [Q102343280](https://www.wikidata.org/wiki/Q102343280)  
**Source**: https://4ort.xyz/entity/hai-ning-liu

## Summary
Hai‑Ning Liu is a computer scientist who earned a Ph.D. from the University of California, San Diego in 1993. Their academic lineage includes doctoral advisors George Polyzos and René L. Cruz, and they are indexed in both the Mathematics Genealogy Project and MathSciNet.

## Biography
- **Born:** *Not publicly documented*  
- **Nationality:** *Not publicly documented*  
- **Education:** Ph.D. in Computer Science, University of California, San Diego (1993)  
- **Known for:** Computer science research under the mentorship of George Polyzos and René L. Cruz  
- **Employer(s):** *Not publicly documented*  
- **Field(s):** Computer science  

## Contributions
Publicly available records do not list specific publications, patents, or projects authored by Hai‑Ning Liu. Their presence in the Mathematics Genealogy Project (ID 128674) and MathSciNet (author ID 245471) confirms a recognized scholarly profile within the computer‑science community, but detailed outputs (e.g., journal articles, conference papers, software) are not enumerated in the supplied sources.

## FAQs
### Q: What is Hai‑Ning Liu’s primary field of expertise?  
A: Hai‑Ning Liu is a computer scientist.

### Q: Where did Hai‑Ning Liu obtain their doctoral degree?  
A: They earned a Ph.D. from the University of California, San Diego in 1993.

### Q: Who supervised Hai‑Ning Liu’s Ph.D. research?  
A: Their doctoral advisors were George Polyzos and René L. Cruz.

## Why They Matter
Hai‑Ning Liu’s academic credentials place them within a notable research lineage in computer science, linking to established scholars such as George Polyzos and René L. Cruz. Their inclusion in authoritative databases (MathSciNet and the Mathematics Genealogy Project) ensures that their scholarly contributions are traceable and accessible to the research community, supporting the continuity of knowledge in the discipline.

## Notable For
- Ph.D. in Computer Science from UC San Diego (1993)  
- Doctoral mentorship by George Polyzos and René L. Cruz  
- Listed in the Mathematics Genealogy Project (ID 128674)  
- Indexed in MathSciNet with author ID 245471  
- Recognized occupation: computer scientist  

## Body

### Education
- **University of California, San Diego** – Awarded a Doctor of Philosophy in Computer Science in 1993.  
- The dissertation details are not provided in the source material.

### Academic Lineage
- **Doctoral Advisor:** George Polyzos (researcher, computer scientist)  
- **Co‑Advisor:** René L. Cruz (researcher, computer scientist)  
- This mentorship connects Liu to a broader network of computer‑science research.

### Professional Identifiers
- **Mathematics Genealogy Project ID:** 128674 – Confirms Liu’s place in the scholarly genealogy of mathematics‑related fields.  
- **MathSciNet Author ID:** 245471 – Provides a reference point for locating any indexed publications.

### Current Knowledge Gaps
- No publicly recorded employer affiliations, specific research topics, or publication titles are available from the provided sources.  
- Further investigation in academic databases or institutional repositories would be required to detail Liu’s research output.

## References

1. Mathematics Genealogy Project