# Manuel Blum

Manuel Blum | |
---|---|

Manuel Blum (left) with his wife Lenore Blum and their son Avrim Blum, 1973 | |

Born | |

Residence | Pittsburgh |

Alma mater | Massachusetts Institute of Technology |

Known for | Blum complexity axioms Blum's speedup theorem Blum Blum Shub Blum-Goldwasser cryptosystem |

Spouse(s) | Lenore Blum |

Awards | Turing Award (1995) |

Scientific career | |

Fields | Computer Science |

Institutions | University of California, Berkeley Carnegie Mellon University |

Thesis | A Machine-Independent Theory of the Complexity of Recursive Functions (1964) |

Doctoral advisor | Marvin Minsky^{[1]} |

Doctoral students | Leonard Adleman Dana Angluin C. Eric Bach Shafi Goldwasser Mor Harchol-Balter Russell Impagliazzo Silvio Micali Gary Miller Moni Naor Ronitt Rubinfeld Steven Rudich Jeffrey Shallit Michael Sipser Umesh Vazirani Vijay Vazirani Luis von Ahn Ryan Williams ^{[1]} |

Website | www |

**Manuel Blum** (Caracas, 26 April 1938) is a Venezuelan computer scientist who received the Turing Award in 1995 "In recognition of his contributions to the foundations of computational complexity theory and its application to cryptography and program checking".^{[2]}^{[3]}^{[4]}^{[5]}^{[6]}^{[7]}^{[8]}

## Contents

## Education[edit]

Blum was educated at MIT, where he received his bachelor's degree and his master's degree in EECS in 1959 and 1961 respectively, and his Ph.D. in mathematics in 1964 supervised by Marvin Minsky.^{[1]}^{[7]}

## Career[edit]

He worked as a professor of computer science at the University of California, Berkeley until 1999. From 1999 to 2018, he was the Bruce Nelson Professor of Computer Science at Carnegie Mellon University, where his wife, Lenore Blum,^{[9]} was also a professor of Computer Science. In 2002 he was elected to the United States National Academy of Sciences.

He and his wife resigned from CMU in 2018 to protest against sexism.^{[10]}

## Research[edit]

In the 60s he developed an axiomatic complexity theory which was independent of concrete machine models. The theory is based on Gödel numberings and the Blum axioms. Even though the theory is not based on any machine model it yields concrete results like the compression theorem, the gap theorem, the honesty theorem and the Blum speedup theorem.

Some of his other work includes a protocol for flipping a coin over a telephone, median of medians (a linear time selection algorithm), the Blum Blum Shub pseudorandom number generator, the Blum-Goldwasser cryptosystem, and more recently CAPTCHAs.^{[11]}

Blum is also known as the advisor of many prominent researchers. Among his Ph.D. students are Leonard Adleman, Dana Angluin, Shafi Goldwasser, Mor Harchol-Balter, Russell Impagliazzo, Silvio Micali, Gary Miller, Moni Naor, Steven Rudich, Michael Sipser, Ronitt Rubinfeld, Umesh Vazirani, Vijay Vazirani, Luis von Ahn, and Ryan Williams.^{[1]}

## See also[edit]

## References[edit]

- ^
^{a}^{b}^{c}^{d}Manuel Blum at the Mathematics Genealogy Project. **^**ACM Turing Award Citation, retrieved 2010-01-24.**^**Manuel Blum at DBLP Bibliography Server**^**List of publications from Microsoft Academic**^**Blum, Manuel; Micali, Silvio (1984). "How to Generate Cryptographically Strong Sequences of Pseudorandom Bits" (PDF).*SIAM Journal on Computing*.**13**(4): 850. doi:10.1137/0213053.**^**Blum, M.; Floyd, R. W.; Pratt, V. R.; Rivest, R. L.; Tarjan, R. E. (August 1973). "Time bounds for selection" (PDF).*Journal of Computer and System Sciences*.**7**(4): 448–461. doi:10.1016/S0022-0000(73)80033-9.- ^
^{a}^{b}Blum, Manuel (1967). "A Machine-Independent Theory of the Complexity of Recursive Functions" (PDF).*Journal of the ACM*.**14**(2): 322–336. doi:10.1145/321386.321395. **^**Blum, L.; Blum, M.; Shub, M. (1986). "A Simple Unpredictable Pseudo-Random Number Generator".*SIAM Journal on Computing*.**15**(2): 364. doi:10.1137/0215025.**^**Blum, L.; Blum, M. (1975). "Toward a mathematical theory of inductive inference".*Information and Control*.**28**(2): 125. doi:10.1016/S0019-9958(75)90261-2.**^**"Lenore Blum shocked the community with her sudden resignation from CMU. Here she tells us why". 2018-09-06.**^**Von Ahn, Luis; Blum, Manuel; Hopper, Nicholas J.; Langford, John (May 2003). "CAPTCHA: Using Hard AI Problems for Security". Proceedings of the International Conference on the Theory and Applications of Cryptographic Techniques (EUROCRYPT 2003).

- American computer scientists
- Theoretical computer scientists
- 1938 births
- Living people
- Jewish American scientists
- International Association for Cryptologic Research fellows
- Members of the United States National Academy of Engineering
- Members of the United States National Academy of Sciences
- Turing Award laureates
- Carnegie Mellon University faculty
- University of California, Berkeley faculty
- Venezuelan emigrants to the United States
- Venezuelan Jews
- Massachusetts Institute of Technology alumni
- 20th-century American engineers
- 21st-century American engineers
- 20th-century American scientists
- 21st-century American scientists