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  1. Developing an abstract theory of a theory

  2. Understanding chaos in quantum micro-world

  3. Geometric objects contribute to deeper understanding of mathematical calculations

  4. Looking for order in absence of symmetry

  5. Mathematics of solitary waves

  6. Finding patterns in chaos

  7. Better tools for computer simulations

  8. Secrets of the universe revealed by Einstein’s equations

  9. In the hope of new cancer drugs

  10. Ten young researchers receive two-year scholarships for post-doctoral studies at Stanford University