Her main research interests lie in spectral graph theory and extremal
graph theory. These topics provide powerful methods in dealing with
problems arising in a wide range of areas. She has over 200 papers, in
areas ranging from pure mathematics (e.g., differential geometry, number
theory) to the applied (e.g., optimization, computational geometry,
telecommunications, and Internet computing). She has about 100 coauthors
including many mathematicians, computer scientists, statisticians, and
chemists.
She enjoys teaching and, in particular, a good part of her efforts aims at
bridging the gaps between mathematics in the classroom and the mathematics
that is actually been used in real world. Several courses in this
direction have been developed at UPenn and at UC San Diego.
She is the author of two books- Erdos on Graphs and Spectral Graph Theory.
She is the Editor-in-Chief of a new journal "Internet Mathematics" and she
is also a Co-Editor-in-Chief of "Advances in Applied Mathematics". In
addition, she serves on the editorial boards of a dozen or so journals.
She was awarded the Allendoerfer Award by Mathematical Association of
America in 1990. Since 1998, she has been a fellow of the American
Academy of Arts and Sciences.
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