# Georgios Dimitroglou Rizell

**PhD**

**Uppsala University**

**Natural sciences**

**Year of admission: 2016**

**Will build upon modern geometric theory**

*Symplectic geometry* is used in the formulation of both classical mechanics and quantum mechanics. It is also important for string theory and, in mathematics, it has been used to solve a number of classical problems e.g. in dynamical systems. As a Wallenberg Academy Fellow, Georgios Dimitroglou Rizell will further develop and explore symplectic geometry

Towards the end of the 1800s, the Irish mathematician William Rowen Hamilton reformulated the equations for Newton’s classical mechanics; he rewrote the equations in a geometric manner. They were thus easier to solve and the properties of their solutions were easier to describe.

When mechanics became quantum mechanics, researchers once again used Hamilton’s approach to simplify the equations. When mathematicians understood the great potential of Hamilton’s geometry, called symplectic geometry, they began to study this new geometry for its own sake. It has recently developed into one of the most dynamic fields of modern mathematics, with surprising relationships to many other branches of mathematics and also theoretical physics.

Dr. Georgios Dimitroglou Rizell at the University of Cambridge has contributed to the further development of symplectic geometry. As a Wallenberg Academy Fellow he will continue to build upon the theory by investigating and classifying so-called Lagrangian submanifolds; these are subspaces whose properties are important for understanding the ambient symplectic space. He will transfer his activities to Uppsala University.

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*Photo: Markus Marcetic*