Irvin Cohen

Irvin Sol Cohen (1917 – February 14, 1955) was an American mathematician at the Massachusetts Institute of Technology who worked on local rings. He was a student of Oscar Zariski at Johns Hopkins University.

In his thesis he proved the

Cohen and Abraham Seidenberg published their Cohen–Seidenberg theorems, also known as the going-up and going-down theorems. He also coauthored articles with Irving Kaplansky. One of his doctoral students was R. Duncan Luce.

Cohen died unexpectedly in 1955 one week after having visited Zariski in Cambridge, apparently from suicide. Many years later Zariski said of his death:^[1]

Many things are necessary to make a good scientist, a creative man, and left on his own Cohen found himself unproductive. Highly critical of himself and others, he believed that nothing he ever wrote was as good as his thesis. He became increasingly involved with abstract algebra until he found himself at a certain point without ground under his feet. He became disappointed in his work, and finally, fatally, in his own ability.

• Cohen, I. S. (1946). "On the structure and ideal theory of complete local rings".
  JSTOR 1990313
  .
• Cohen, I.S.; Seidenberg, A. (1946). "Prime ideals and integral dependence".
  MR 0015379
  .
• Cohen, I.S.;
  JSTOR 1990350
  .
• Cohen, I.S. (1950). "Commutative rings with restricted minimum condition". Duke Mathematical Journal. 71 (1).
• Cohen, I.S. (1954). "Length of prime ideal chains".
  JSTOR 2372708
  .
• Cohen, I.S.;
  S2CID 123538023
  .
• Cohen, I.S.;
  doi:10.1215/ijm/1255378500
  .

References

1. ^ ^{a b} Parikh 2014.

• Irvin Cohen at the Mathematics Genealogy Project
• Parikh, Carol (2014). The Unreal Life of Oscar Zariski. Academic Press. p. 64.
  ASIN B01DUEBQSC
  .
• "News and Notices".
  JSTOR 2306718
  .
• The Mathematical Association of America (1955). "Report of the Treasurer for the Year 1954". The American Mathematical Monthly. 62 (4): 296.
  doi:10.1080/00029890.1955.11988629
  .

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