Everipedia Logo
Everipedia is now IQ.wiki - Join the IQ Brainlist and our Discord for early access to editing on the new platform and to participate in the beta testing.
Miklós Ajtai

Miklós Ajtai

Miklós Ajtai (born 2 July 1946) is a computer scientist at the IBM Almaden Research Center, United States. In 2003, he received the Knuth Prize for his numerous contributions to the field, including a classic sorting network algorithm (developed jointly with J. Komlós and Endre Szemerédi), exponential lower bounds, superlinear time-space tradeoffs for branching programs, and other "unique and spectacular" results.

Miklos Ajtai
Born(1946-07-02)2 July 1946
Budapest, Second Republic of Hungary
ResidenceSan Jose, California, United States
NationalityHungarian-American
Alma materHungarian Academy of Sciences
AwardsKnuth Prize (2003)[1]
Scientific career
FieldsComputational complexity theory
InstitutionsIBM Almaden Research Center

Selected results

One of Ajtai's results states that the length of proofs in propositional logic of the pigeonhole principle for n items grows faster than any polynomial in n. He also proved that the statement "any two countable structures that are second-order equivalent are also isomorphic" is both consistent with and independent of ZFC. Ajtai and Szemerédi proved the corners theorem, an important step toward higher-dimensional generalizations of the Szemerédi theorem. With Komlós and Szemerédi he proved the ct2/log t upper bound for the Ramsey number R(3,t). The corresponding lower bound was proved by Kim only in 1995, a result that earned him a Fulkerson Prize. With Chvátal, Newborn, and Szemerédi, Ajtai proved the crossing number inequality, that any drawing of a graph with n vertices and m edges, where m > 4n, has at least m3 / 100n2 crossings. Ajtai and Dwork devised in 1997 a lattice-based public-key cryptosystem; Ajtai has done extensive work on lattice problems. For his numerous contributions in Theoretical Computer Science he received the Knuth Prize.[1]

Biodata

Ajtai received his Candidate of Sciences degree in 1976 from the Hungarian Academy of Sciences.[2] Since 1995 he has been an external member of the Hungarian Academy of Sciences.

In 2012 he was elected as a Fellow of the American Association for the Advancement of Science.[3]

Selected papers

  1. Ajtai, M. (1979), "Isomorphism and higher order equivalence", Annals of Mathematical Logic, 16 (3): 181–203, doi:10.1016/0003-4843(79)90001-9 [7] .

  2. Ajtai, M.; Komlós, J.; Szemerédi, E. (1982), "Largest random component of a k-cube", Combinatorica, 2 (1): 1–7, doi:10.1007/BF02579276 [8] .

References

[1]
Citation Linkwww.sigact.orghttp://www.sigact.org/Prizes/Knuth/2003.html
Sep 29, 2019, 5:36 AM
[2]
Citation Linkopenlibrary.orgMagyar Tudományos Akadémia, Almanach, 1986, Budapest.
Sep 29, 2019, 5:36 AM
[3]
Citation Linkwww.aaas.orgAAAS Members Elected as Fellows, AAAS, 29 November 2012
Sep 29, 2019, 5:36 AM
[4]
Citation Linkwww.almaden.ibm.comMiklós Ajtai home page
Sep 29, 2019, 5:36 AM
[5]
Citation Linkacademic.microsoft.comList of publications
Sep 29, 2019, 5:36 AM
[6]
Citation Linkwww.genealogy.math.ndsu.nodak.eduMiklós Ajtai
Sep 29, 2019, 5:36 AM
[7]
Citation Linkdoi.org10.1016/0003-4843(79)90001-9
Sep 29, 2019, 5:36 AM
[8]
Citation Linkdoi.org10.1007/BF02579276
Sep 29, 2019, 5:36 AM
[9]
Citation Linkwww.sigact.orghttp://www.sigact.org/Prizes/Knuth/2003.html
Sep 29, 2019, 5:36 AM
[10]
Citation Linkwww.aaas.orgAAAS Members Elected as Fellows
Sep 29, 2019, 5:36 AM
[11]
Citation Linkwww.almaden.ibm.comMiklós Ajtai home page
Sep 29, 2019, 5:36 AM
[12]
Citation Linkacademic.microsoft.comList of publications
Sep 29, 2019, 5:36 AM
[13]
Citation Linkwww.genealogy.math.ndsu.nodak.eduMiklós Ajtai
Sep 29, 2019, 5:36 AM
[14]
Citation Linken.wikipedia.orgThe original version of this page is from Wikipedia, you can edit the page right here on Everipedia.Text is available under the Creative Commons Attribution-ShareAlike License.Additional terms may apply.See everipedia.org/everipedia-termsfor further details.Images/media credited individually (click the icon for details).
Sep 29, 2019, 5:36 AM