Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Yves Colin de Verdiere is a French mathematician. He studied at the ENS in the late 1960s, obtained his PhD in 1973, and then spent the bulk of his working life in Grenoble. He retired in December 2005. He is known for work in spectral theory, in particular on the semiclassical limit of quantum mechanics (including quantum chaos); in graph theory where he introduced a new graph invariant, the Colin de Verdiere graph invariant; and on a variety of other subjects within Riemannian geometry and Number theory. His contributions have been recognized by several awards: senior member of the Institut Universitaire de France from 1991 to 2001; Ampere Prize of the French Academy of Sciences in 1999; Fellow of the United States National Academy of Sciences in 2005.

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