# José Ádem

José Ádem | |
---|---|

Born | Tuxpan, Veracruz, Mexico |

Nationality | Mexico |

Alma mater |
National University of Mexico (B.S., 1949) Princeton University (Ph.D., 1952) |

Known for | Ádem relations |

Scientific career | |

Fields | Algebraic Topology |

Doctoral advisor | Norman Steenrod |

**José Ádem** (born in Tuxpan, Veracruz, October 27, 1921; died February 14, 1991) was a Mexican mathematician who worked in algebraic topology, and proved the Ádem relations between Steenrod squares.

## Life and education[edit]

Ádem showed an interest in mathematics from an early age, and moved to Mexico City in 1941 to pursue a degree in engineering and mathematics. He obtained his B.S. in mathematics from the National Autonomous University of Mexico (UNAM) in 1949.^{[1]} During this time met Solomon Lefschetz, a famous algebraic topologist who was spending prolonged periods of time in Mexico. Lefschetz recognized Ádem's mathematical talent, and sent him as a doctoral student to Princeton University where he graduated in 1952.^{[2]} His dissertation, *Iterations of the squaring operations in algebraic topology*, was written under the supervision of Norman Steenrod and introduced what are now called the Ádem relations.^{[3]}

His brother Julián Adem was also a distinguished Mexican mathematician, who obtained a Ph.D. in applied mathematics from Brown University in 1953.^{[4]} Julián's son is topologist Alejandro Adem.^{[5]}

## Career[edit]

Ádem became a researcher at the Mathematics Institute of UNAM (1954–1961), and then head of the Mathematics Department at the Instituto Politécnico Nacional (1961–1973).^{[6]}
He was elected to El Colegio Nacional on 4 April 1960.^{[1]}

In 1951 he was awarded a Guggenheim Fellowship.^{[7]} He started in 1956 the second series of the Boletín de la Sociedad Matemática Mexicana.^{[2]}

## Publications[edit]

- Ádem, José (1952). "The iteration of the Steenrod squares in algebraic topology".
*Proceedings of the National Academy of Sciences of the United States of America*.**38**: 720–726. doi:10.1073/pnas.38.8.720. MR 0050278. PMC 1063640. - Ádem, José (1953). "Relations on iterated reduced powers".
*Proceedings of the National Academy of Sciences of the United States of America*.**39**: 636–638. MR 0056293.

## References[edit]

- ^
^{a}^{b}"Biography of José Ádem". - ^
^{a}^{b}Alejandro Ádem Díaz de León. "Biography of José Ádem" (in Spanish). Retrieved 2018-04-01. **^**José Ádem at the Mathematics Genealogy Project**^**Julián Adem at the Mathematics Genealogy Project**^**"Interview with a Mathematician: Alejandro Adem". Retrieved 10 July 2018.**^**"Adem Chahín, José (1921-1991)". Retrieved 10 July 2018.**^**"Guggenheim Fellowship for José Ádem". Retrieved 2018-04-01.

## External links[edit]

- Gitler, Samuel, ed. (1982).
*Symposium on Algebraic Topology in honor of José Adem. Papers from the Symposium held in Oaxtepec, August 10–17, 1981*. Contemporary Mathematics.**12**. Providence, R.I.: American Mathematical Society. ISBN 0-8218-5010-5. MR 0676309.

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- 1921 births
- 1991 deaths
- People from Veracruz
- 20th-century Mexican mathematicians
- Topologists
- National Autonomous University of Mexico alumni
- Princeton University alumni
- National Autonomous University of Mexico faculty
- Instituto Politécnico Nacional faculty
- Members of El Colegio Nacional
- Mexican scientist stubs
- Mathematician stubs