|Alma mater||University of Latvia|
|Known for||Rips machine|
|Awards||Erdős Prize (1979)|
|Doctoral advisor||Shimshon Amitsur|
|Doctoral students||Zlil Sela|
Eliyahu Rips (Hebrew: אליהו ריפס; Russian: Илья Рипс; Latvian: Iļja Ripss; born 12 December 1948) is an Israeli mathematician of Latvian origin known for his research in geometric group theory. He became known to the general public following his coauthoring a paper on what is popularly known as Bible code, the supposed coded messaging in the Hebrew text of the Torah.
Ilya (Eliyahu) Rips grew up in Latvia (then part of Soviet Union). His mother was Jewish and from Riga, the only of nine siblings that survived the war; the others were killed in Rumbula and other places. His father Aaron was a Jewish mathematician from Belarus; his wife, children and all of his relatives were killed during the Holocaust.
Rips was the first high school student from Latvia to participate in the International Mathematical Olympiad. In January 1969 he learnt from listening to Western radio broadcast---then illegal in the USSR---of the self-immolation of Czechoslovak student Jan Palach. On 13 April 1969, Rips, then a graduate student at the University of Latvia, attempted self-immolation in a protest against the Soviet invasion of Czechoslovakia. After unwrapping a self-made slogan condemning the occupation of Czechoslovakia he lit a candle and set his gasoline-soaked cloths ablaze. A group of bystanders were able to quickly put the fire out, resulting only in burns to Rips' neck and hands. Though injured, he was first taken to the local KGB office and interrogated. He was incarcerated by the Soviet government for two years. After his story spread among Western mathematical circles and a wave of petitions, Rips was freed in 1971. The following year, he was allowed to immigrate to Israel.
Rips joined the Department of Mathematics at the Hebrew University of Jerusalem, and in 1975 completed his Ph.D. in mathematics there. His topic was the dimensional subgroup problem. He was awarded the Aharon Katzir Prize. In 1979, Rips received the Erdős Prize from the Israel Mathematical Society, and was a sectional speaker at the International Congress of Mathematicians in 1994.
Rips is a professor in the Department of Mathematics at Hebrew University. His research interests are geometric and combinatorial methods in infinite group theory. This includes small cancellation theory and its generalizations, (Gromov) hyperbolic group theory, Bass-Serre theory and the actions of groups on -trees.
Rips' work on group actions on -trees is mostly unpublished. The Rips machine, in the hands of Rips and his student Zlil Sela, has proven to be effective in obtaining classification results such as a solution to the isomorphism problem for hyperbolic groups.
The Bible Code controversy
In the late 1970s, Rips began looking with the help of a computer for codes in the Torah. In 1994, Rips, together with Doron Witztum and Yoav Rosenberg, published in the journal Statistical Science an article, "Equidistant Letter Sequences in the Book of Genesis", which claimed the discovery of encoded messages in the Hebrew text of the Book of Genesis. This, in turn, was the inspiration for the 1997 book The Bible Code by journalist Michael Drosnin. While Rips originally claimed that he agreed with Drosnin's findings, in 1997 Rips described Drosnin's book as "on very shaky ground" and "of no value." Since Drosnin's book, Bible codes have been a subject of controversy, with the claims being criticized by Brendan McKay and others. An early supporter of Rips' theories was Robert Aumann, Nobel Prize Laureate in Economics 2005, who headed a commission overseeing Rips' experiments attempting to prove the existence of a secret code from God in the Torah. Eventually, Aumann abandoned the idea and withdrew his support from Rips.
The Bible Code treats the text of the Bible as a word search puzzle: for example, a word may be spelled diagonally moving in a north west direction, or perhaps left-to-right taking every second letter. The more patterns that are allowed, the more words that can be found. Elementary statistics can be used to estimate the probabilities of finding certain hidden messages. The statistician Jeffrey S. Rosenthal shows in his book Struck by Lightning: The Curious World of Probabilities[page needed] that "hidden messages" are statistically expected and hence should not be seen as divine messages, much less as predictions of the future. Mathematician Brendan McKay illustrated this point by finding messages in the English text of Moby Dick that supposedly "predicted" famous assassinations of the past, such as the assassination of John F. Kennedy and the assassination of Indira Gandhi.
- Rips, E. "Group actions on R-trees". preprint.
- Rips, E. (1982). "Subgroups of small cancellation groups". Bulletin of the London Mathematical Society. 14 (1): 45–47. doi:10.1112/blms/14.1.45.
- Rips, E.; Sela, Z. (1994). "Structure and rigidity in hyperbolic groups. I". Geom. Funct. Anal. 4 (3): 337–371. doi:10.1007/bf01896245.
- Rips, E.; Sela, Z. (1995). "Canonical representatives and equations in hyperbolic groups". Invent. Math. 120 (3): 489–512. Bibcode:1995InMat.120..489R. doi:10.1007/bf01241140.
- Rips, E.; Sela, Z. (1997). "Cyclic splittings of finitely presented groups and the canonical JSJ decomposition". Annals of Mathematics. 2. 146 (1): 53–109. doi:10.2307/2951832.
- Sapir, Mark V.; Birget, Jean-Camille; Rips, Eliyahu (2002). "Isoperimetric and isodiametric functions of groups". Annals of Mathematics. 2. 156 (2): 345–466. arXiv:math/9811105. doi:10.2307/3597195.
- Birget, J.-C.; Ol'shanskii, A. Yu.; Rips, E.; Sapir, M. V. (2002). "Isoperimetric functions of groups and computational complexity of the word problem". Annals of Mathematics. 2. 156 (2): 467–518. arXiv:math/9811106. doi:10.2307/3597196.
- "Secret Codes In The Bible And The Torah? Investigators YES! - KMPH FOX 26". KMPH-TV. 2 February 2012. Retrieved 28 February 2012.
- Lolita Tomsone (23 May 2016). "Sērkociņš Ripss" (in Latvian). Satori. Retrieved 30 December 2016.
- "Botschaften des Allmächtigen oder zurechtgeschusterte Daten?". Neue Zürcher Zeitung. 18 August 2004. Archived from the original on 22 January 2008. Retrieved 28 February 2012.
- Sharon Begley (8 June 1997). "Seek And Ye Shall Find". The Daily Beast. Archived from the original on 8 May 2012. Retrieved 28 February 2012.
- "Torah Codes". cs.anu.edu.au. Retrieved 24 July 2016.
- "Struck by Lightning: The Curious World of Probabilities". YouTube. Retrieved 20 December 2016.
- Brendan McKay (1997). "Assassinations Foretold in Moby Dick!". Retrieved 6 October 2019.
- The Bible Code, transcript of a story which aired on BBC Two, Thursday 20 November 2003, featuring comments by Drosnin, Rips, and Brendan McKay.
- Torah Codes: End to Darkness (2015), a documentary in which Rips features prominently. In addition to discussing his text analyses, he relates the story of his self-immolation attempt.
- Eliyahu Rips at the Mathematics Genealogy Project
- Eliyahu Rips's results at International Mathematical Olympiad