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  1. Mathematics of earth’s interior and chaos

  2. Telling apart a knot from a knot

  3. Revealing properties of complex surfaces

  4. Focusing on the special properties of mathematical objects

  5. A step closer to a solution of an old problem

  6. Computer analysis of movement patterns of fluid drops

  7. New ways of looking at Dirac equations

  8. Developing an abstract theory of a theory

  9. Understanding chaos in quantum micro-world

  10. Geometric objects contribute to deeper understanding of mathematical calculations