Education
Harvard University; Rensselaer Polytechnic Institute.
Harvard University; Rensselaer Polytechnic Institute.
The unexpected existence of aperiodic tilings, although not Berger"s explicit construction of them, follows from another result proved by Berger: that the so-called domino problem is undecidable, disproving a conjecture of Hao Wang, Berger"s advisor. The result is analogous to a 1962 construction used by Kahr, Moore, and Wang, to show that a more constrained version of the domino problem was undecidable. Berger did his undergraduate studies at Rensselaer Polytechnic Institute, and studied applied physics at Harvard, earning a master"s degree, before shifting to applied mathematics for his doctorate.
Along with Hao Wang, Berger"s other two doctoral committee members were Patrick Carl Fischer and Marvin Minsky.
Later, he has worked in the Digital Integrated Circuits Group of the Lincoln Laboratory.