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Chern numbers of algebraic varieties

Dieter Kotschick solved Hirzebruch's problem, determining that most Chern numbers depend on algebraic structure of a variety, not topological properties. The breakthrough resolves the relationship between flexible and rigid geometric objects.

Mathematician's insight helps unravel knotty problem

Shelly Harvey's discovery applies to a longstanding problem within knot theory, but its significance lies in the broader context of topology. The underlying structure she uncovered uses algebraic structures to describe similarities and differences between knotted shapes, offering a new approach to proving equivalency.

Apple iPhone 17 Pro

Apple iPhone 17 Pro delivers top performance and advanced cameras for field documentation, data collection, and secure research communications.