Micha Perles Explained

Micha Asher Perles
Birth Place:	Jerusalem
Fields:	convexity, combinatorics, graph theory
Alma Mater:	Hebrew University
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Thesis Year:	1964
Doctoral Advisor:	Branko Grünbaum
Doctoral Students:	Noga Alon, Gil Kalai, Nati Linial
Known For:	Perles configuration, Perles–Sauer–Shelah lemma, pumping lemma
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Micha Asher Perles is an Israeli mathematician working in geometry, a professor emeritus at the Hebrew University.^[1] He earned his Ph.D. in 1964 from the Hebrew University, under the supervision of Branko Grünbaum.His contributions include:

• The Perles configuration, a set of nine points in the Euclidean plane whose collinearities can be realized only by using irrational numbers as coordinates. Perles used this configuration to prove the existence of irrational polytopes in higher dimensions.^[2]
• The Perles–Sauer–Shelah lemma, a result in extremal set theory whose proof was credited to Perles by Saharon Shelah.^{[3] [4]}
• The pumping lemma for context-free languages, a widely used method for proving that a language is not context-free that Perles discovered with Yehoshua Bar-Hillel and Eli Shamir.^[5]

Notable students of Perles include Noga Alon, Gil Kalai, and Nati Linial.

External links

• Micha Asher Perles' home page
  • Micha A. Perles' online publications at arXiv

Notes and References

1. http://www.huji.ac.il/dataj/controller/ihoker/MOP-STAFF_LINK?sno=300498 Faculty profile
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