# László Babai

> Hungarian mathematician and computer scientist

**Wikidata**: [Q92845](https://www.wikidata.org/wiki/Q92845)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/László_Babai)  
**Source**: https://4ort.xyz/entity/laszlo-babai

## Summary
László Babai is a Hungarian mathematician and computer scientist known for his foundational work in computational complexity theory, particularly for proving the Graph Non-Isomorphism problem is in the complexity class NP. His contributions have shaped modern algorithmic research and earned him prestigious awards like the Gödel Prize.

## Biography
- Born: July 20, 1950, Budapest, Hungary
- Nationality: Hungary
- Education:
  - Fazekas Mihály Gimnázium (1968)
  - Eötvös Loránd University (Bachelor's in mathematics, 1973)
  - Hungarian Academy of Sciences (PhD in mathematics, 1975)
- Known for: Proving the Graph Non-Isomorphism problem is in NP and advancing computational complexity theory
- Employer(s): University of Chicago
- Field(s): Computational complexity theory, combinatorics, finite groups, interactive proof systems

## Contributions
László Babai's most significant work is proving that the Graph Non-Isomorphism problem is in the complexity class NP, a result that resolved a major open question in computational complexity. This breakthrough demonstrated that certain problems, previously thought to be outside NP, could be solved efficiently under certain conditions. His research also contributed to the development of interactive proof systems, which are fundamental in cryptography and distributed computing. Babai has authored numerous influential papers and supervised key researchers in the field, including Mario Szegedy and Gábor Tardos.

## FAQs
### Q: What is László Babai known for?
A: László Babai is known for proving that the Graph Non-Isomorphism problem is in the complexity class NP, a landmark result in computational complexity theory.

### Q: Where did László Babai study?
A: László Babai studied at Fazekas Mihály Gimnázium, Eötvös Loránd University, and the Hungarian Academy of Sciences, earning his PhD in 1975.

### Q: What awards has László Babai received?
A: László Babai has received the Gödel Prize (1993), Knuth Prize (2015), Dijkstra Prize (2016), and the Paul Erdős Prize.

### Q: Who are some of László Babai's doctoral students?
A: Some of László Babai's doctoral students include Mario Szegedy, Gábor Tardos, and Carsten Lund.

### Q: What is László Babai's Erdős number?
A: László Babai has an Erdős number of 1, meaning he co-authored a paper with Paul Erdős.

## Why They Matter
László Babai's work has had a profound impact on computational complexity theory, providing critical insights into the nature of NP problems. His proof that Graph Non-Isomorphism is in NP resolved a long-standing question and influenced subsequent research in algorithm design and cryptography. Babai's contributions have shaped the field's understanding of problem-solving efficiency and have inspired generations of researchers. His leadership and mentorship, as evidenced by his numerous doctoral students, have further solidified his legacy in the academic community.

## Notable For
- Proved the Graph Non-Isomorphism problem is in NP (1979)
- Received the Gödel Prize (1993) alongside Shafrira Goldwasser, Silvio Micali, Shlomo Moran, and Charles Rackoff
- Erdős number of 1 (co-authored with Paul Erdős in 1980)
- Supervised influential researchers like Mario Szegedy and Gábor Tardos
- Contributed to the development of interactive proof systems

## Body
### Early Life and Education
László Babai was born on July 20, 1950, in Budapest, Hungary. He completed his secondary education at Fazekas Mihály Gimnázium in 1968. Babai then pursued higher education at Eötvös Loránd University, graduating with a Bachelor's degree in mathematics in 1973. He later earned his PhD from the Hungarian Academy of Sciences in 1975.

### Academic Career
Babai's academic career began with his doctoral studies under the supervision of Pál Turán and Vera T. Sós. He joined the University of Chicago, where he has been a prominent figure in the mathematics and computer science departments. His research focuses on computational complexity theory, combinatorics, finite groups, and interactive proof systems.

### Key Contributions
One of Babai's most notable achievements is proving that the Graph Non-Isomorphism problem is in the complexity class NP. This result, published in 1979, resolved a major open question in the field and demonstrated the feasibility of certain computational tasks under specific conditions. Babai's work has also advanced the understanding of interactive proof systems, which are essential in modern cryptography and distributed computing.

### Awards and Recognition
Babai has received several prestigious awards, including the Gödel Prize in 1993, the Knuth Prize in 2015, and the Dijkstra Prize in 2016. He has also been recognized with the Paul Erdős Prize, further acknowledging his significant contributions to the field.

### Mentorship and Influence
Babai has mentored numerous influential researchers, including Mario Szegedy, Gábor Tardos, and Carsten Lund. His doctoral students have made substantial contributions to computational complexity theory and related fields, ensuring his lasting impact on the academic community.

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## References

1. [Source](http://news.uchicago.edu/profile/laszlo-babai)
2. Mathematics Genealogy Project
3. [Source](https://sigact.org/prizes/g%C3%B6del.html)
4. Freebase Data Dumps. 2013