My mathematical interests include symplectic geometry, toric geometry, and Poisson geometry. I am studying Hamiltonian actions on symplectic and Poisson manifolds under Dan Burns.
I'm the only person at Michigan interested in these things, so I'm starved for people to talk math to. If you have any questions or thoughts about what I work on, we should talk!
I also have a hobby of extending famous results about 4-dimensional symplectic manifolds to the case of 5-dimensional symplectic manifolds. My friends do not find this as amusing as I do.
I was accosted in a coffeeshop on two separate occasions by someone telling me that the diagrams I was looking at remind them of certain mystic Hindu symbols and that I really should start doing yoga. So it seems that minimal models of toric threefolds have unexplored applications in finding yoga partners.
Publications
- Toric Actions on b-Symplectic Manifolds, V. Guillemin, E. Miranda, A. Pires and G. Scott (preprint on arXiv)
- Torus Invariant Curves, Geoffrey Scott (preprint on arXiv)
- The Geometry of b^k-manifolds, Geoffrey Scott (preprint on arXiv)
- Graphs with Equal Chromatic Symmetric Functions, R. Orellana and Geoffrey Scott, Discrete Mathematics, Vol. 320, pp. 1-14 (2014)
- A generalization of Thue Freeness for Partial Words, F. Blanchet-Sadri, R. Mercas and G. Scott, Theoretical Computer Science, Vol. 410, pp. 793-800 (2009)
- Counting Distinct Squares in Partial Words, F. Blanchet-Sadri, R. Mercas and G. Scott, Counting distinct squares in Partial Words. In: Csuhaj-Varju, E., Esik, Z. (eds.) Proceedings of AFL, pp. 122-133 (2008)
Past Talks
- Torus Invariant Curves - Algebraic Geometry Seminar (Barcelona, 2013)
- Toric Actions on b-Symplectic Manifolds - GESTA Itinerante (Barcelona, 2013)
- Torus Invariant Curves - Geometry Seminar (Michigan, 2013)
- Toric Actions on b-Symplectic Manifolds - Lie Groups Seminar (Cornell, 2013)
- Toric Actions on b-Symplectic Manifolds - Geometry Seminar (Michigan, 2013)
- Integrable Systems on Log-Symplectic Manifolds - Mini-course (Toronto 2013)
- Geometry of T-Varieties - Baby Algebraic Geometry Seminar (Harvard 2012)
- Sheaf Cohomology on T-Varieties - Freie Universitat algebraic geometry seminar (Berlin 2012)
- Lecture Series on Floer Homologies - University of Michigan (Michigan 2011)
- Toric Varieties - University of Michigan student geometry and topology seminar (Michigan 2011)
- Symplectic Toric Manifolds - University of Michigan student geometry and topology seminar (Michigan 2010)
- Spines and Turaev-Viro Invariants - University of Michigan student geometry and topology seminar (Michigan 2009)
- Counting Distinct Squares in Partial Words - International Conference on Automata and Formal Languages, (Balatonfured, Hungary 2009)
Workshops
- Workshop on Symplectic Field Theory V (Hamburg 2011)
- MSRI Workshop on Toric Varieties (Cortona 2011)
- Trimester on Contact and Symplectic Topology (Nantes 2011)