Manuel Blum

Manuel Blum
Manuel Blum
	Manuel Blum (left) with his wife Lenore Blum and their son Avrim Blum, 1973
Born	26 April 1938 (age 86); Caracas, Venezuela
Alma mater	Massachusetts Institute of Technology (BS, MS, PhD)
Known for	Blum complexity axioms; Blum integer; Blum's speedup theorem; Blum Blum Shub; Blum–Goldwasser cryptosystem; Blum–Micali algorithm; CAPTCHA; reCAPTCHA; Commitment scheme
Spouse	Lenore Blum
Awards	ACM's A.M. Turing Award, 1995; Distinguished Teaching Award, UC Berkeley, 1977; Sigma Xi's Monie A. Ferst Award, 1991; Herbert A.Simon Teaching award, 2007
	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
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
Website	www.cs.cmu.edu/~mblum

Manuel Blum (born 26 April 1938) is a Venezuelan born American 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]

^ ^a ^b Cite error: The named reference mathgene was invoked but never defined (see the help page).
^ ACM Turing Award Citation, retrieved 2010-01-24.
^ Manuel Blum at DBLP Bibliography Server
^ Manuel Blum publications indexed by 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. S2CID 7008910.
^ 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.
^ 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. S2CID 15710280.
^ 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.

Manuel Blum
Manuel Blum (left) with his wife Lenore Blum and their son Avrim Blum, 1973
Born	(1938-04-26) 26 April 1938 (age 86) Caracas, Venezuela
Alma mater	Massachusetts Institute of Technology (BS, MS, PhD)
Known for	Blum complexity axioms Blum integer Blum's speedup theorem Blum Blum Shub Blum–Goldwasser cryptosystem Blum–Micali algorithm CAPTCHA reCAPTCHA Commitment scheme
Spouse	Lenore Blum
Awards	ACM's A.M. Turing Award, 1995 Distinguished Teaching Award, UC Berkeley, 1977 Sigma Xi's Monie A. Ferst Award, 1991 Herbert A.Simon Teaching award, 2007
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.cs.cmu.edu/~mblum