Bertrand Halperin
Encyclopedia
Bertrand I. Halperin is the Hollis Professor of Mathematics and Natural Philosophy at the physics
Physics
Physics is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.Physics is one of the oldest academic...

 department of Harvard University
Harvard University
Harvard University is a private Ivy League university located in Cambridge, Massachusetts, United States, established in 1636 by the Massachusetts legislature. Harvard is the oldest institution of higher learning in the United States and the first corporation chartered in the country...

.

He grew up in Crown Heights, Brooklyn
Crown Heights, Brooklyn
Crown Heights is a neighborhood in the central portion of the New York City borough of Brooklyn. The main thoroughfare through this neighborhood is Eastern Parkway, a tree-lined boulevard designed by Frederick Law Olmsted extending two miles east-west.Originally, the area was known as Crow Hill....

. He attended Harvard University
Harvard University
Harvard University is a private Ivy League university located in Cambridge, Massachusetts, United States, established in 1636 by the Massachusetts legislature. Harvard is the oldest institution of higher learning in the United States and the first corporation chartered in the country...

 (class of 1961), and did his graduate work at Berkeley
University of California, Berkeley
The University of California, Berkeley , is a teaching and research university established in 1868 and located in Berkeley, California, USA...

 with John J. Hopfield (PhD 1965).
In the 1970s, he, together with David R. Nelson, worked out a theory of two-dimensional melting
Melting
Melting, or fusion, is a physical process that results in the phase change of a substance from a solid to a liquid. The internal energy of a substance is increased, typically by the application of heat or pressure, resulting in a rise of its temperature to the melting point, at which the rigid...

, predicting the hexatic phase
Hexatic phase
The hexatic phase is a phase that is between the solid and the isotropic liquid phases in two dimensional systems of particles. It is characterized by two order parameters: a short-range positional and a quasi-long-range orientational order...

 before it was experimentally observed by Pindak et al. In the 1980s, he made seminal contributions to the theory of the Integral and Fractional Quantum Hall Effect. His recent interests lie in the area of strongly interacting low dimensional electron systems. In 2001, he was awarded the Lars Onsager Prize. In 2003, he and Anthony J. Leggett were awarded the Wolf Prize in physics.

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