ConnorJackman

I completed my PhD in mathematics under Richard Montgomery at the University of California Santa Cruz, working on the theme of applying ideas from differential geometry to problems in classical mechanics. Upon graduating in 2018, I was fortunate to coincide with a special workshop on Hamiltonian systems at the Mathematical Sciences Research institute in Berkeley, where I had my first postdoctoral stay for a semester.

Next, I had a postdoctoral stay at the Centro de Investigacion en Matemáticas in Guanajuato from 2019-2022, where I worked with Gil Bor continuing to develope research on themes from mechanics and differential geometry, in particular with an eye towards various notions of symmetries of mechanical systems.

I followed with another postdoctoral stay at the University of Heidelberg in Germany from 2023-2025, with the working group in symplectic dynamics and celestial mechanics led by Agustin Moreno. During this stay, I broadened my areas of research interest to include some more themes in dynamics such as the geometry of projective Anosov flows, and the dynamics of various types of billiard systems.

My areas of interest are, broadly, in differential geometry and classical mechanics. More specifically I am interested in understanding concrete examples characterized by some 'exceptional' property which distinguishes them from the 'general' or 'typical' cases by using for example ideas from integrable systems, symmetries, and invariants as applications of Cartan's method of equivalence.