Micha Perles

Micha Asher Perles
מיכה פרלס
Born	Jerusalem
Alma mater	Hebrew University
Known for	Perles configuration Perles–Sauer–Shelah lemma pumping lemma
Scientific career
Fields	Graph theory Convex geometry Combinatorics
Thesis	(1964)
Doctoral advisor	Branko Grünbaum
Doctoral students	Noga Alon Gil Kalai Nati Linial Chaya Keller

Micha Asher Perles (Hebrew: מיכה פרלס) is an Israeli mathematician working in geometry, a professor emeritus at the Hebrew University. 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.
• The Perles–Sauer–Shelah lemma, a result in extremal set theory whose proof was credited to Perles by Saharon Shelah.
• 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.

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

External links

• Micha Asher Perles' home page
• Micha Perles at DBLP Bibliography Server
• Micha A. Perles' online publications at arXiv
• Micha Perles at the Mathematics Genealogy Project