Kyler Siegel's homepage

About me.

As of September 2017, I'm an NSF postdoctoral research fellow in the Columbia University mathematics department. During the 2016-2017 academic year I was also a Pure Mathematics Instructor at MIT. Before that, from 2011-2016 I was a doctoral student in mathematics at Stanford University working with Yasha Eliashberg.

Research interests.

I work in symplectic geometry, a branch of mathematics lying somewhere at the intersection of smooth topology, differential geometry, algebraic geometry, and mathematical physics. I like to study the complicated algebraic gadgets arising in Floer theory and symplectic field theory and apply them to classification problems in symplectic geometry or try to say new things about Hamiltonian dynamical systems. These invariants also have some rather intruiging connections to things like string theory and algebraic geometry, which means there are lots of surprises in store.


Recent math papers.

Some older papers.

Other projects.

Current teaching

Some notes.

Conferences and seminars