The original version of this story appeared in Quanta Magazine. In October, a Falcon Heavy rocket is scheduled to launch from Cape Canaveral in Florida, carrying NASA’s Europa Clipper mission. The $5 ...

Transactions of the American Mathematical Society, Vol. 359, No. 1 (Jan., 2007), pp. 333-348 (16 pages) In this paper we study the behaviour of the Lefschetz property under the blow-up construction.

In the field of symplectic geometry, a central issue involves how to count the intersection points of two complicated geometric spaces. This counting question is at the heart of one of the most famous ...

In this paper we present rotational symplectic geometry for use in modern biomechanics of human motion. Generalized Hamiltonian formalism has been formulated on the configuration manifold consisting ...

Russian-American mathematician and Wolf Prize laureate Yakov Eliashberg delivered a public talk at IIT Madras on Thursday, as part of the inaugural annual TNQ Distinguished Lecture in Mathematics. The ...

Dusa McDuff and Dietmar Salamon will receive the 2017 AMS Leroy P. Steele Prize for Exposition. They are honored for their book J-holomorphic Curves and Symplectic Topology (AMS Colloquium ...

Classical field theories provide a framework for describing fundamental interactions and physical phenomena through the use of continuous fields defined over space and time. Central to these theories ...