My mathematical interests include symplectic geometry, toric geometry, and Poisson geometry.
Here is my CV.
Some of my current collaborators are (in alphabetical order) Victor Guillemin, Eva Miranda, and Ana Rita Pires.
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.
The three papers on the bottom of the following list were written as an undergraduate and don't reflect my current research interests. But I'm proud of them, so I've included them anyways!
Publications
- Action-angle variable and a KAM theorem for b-Poisson Manifolds, A. Kiesenhofer, E. Miranda and G. Scott, Journal de Mathematiques Pures et Appliquees, 2016
- Convexity for Hamiltonian Torus Actions on b-Symplectic Manifolds, V. Guillemin, E. Miranda, A. Pires and G. Scott, Mathematical Research Letters, 2016
- The Geometry of b^k-manifolds, Geoffrey Scott, Journal of Symplectic Geometry, 2016
- Toric Actions on b-Symplectic Manifolds, V. Guillemin, E. Miranda, A. Pires and G. Scott, International Mathematics Research Notes, 2014
- Torus Invariant Curves, Geoffrey Scott, Preprint on arXiv
- Graphs with Equal Chromatic Symmetric Functions, R. Orellana and Geoffrey Scott, Discrete Mathematics, 2014
- A generalization of Thue Freeness for Partial Words, F. Blanchet-Sadri, R. Mercas and G. Scott, Theoretical Computer Science, 2009
- Counting Distinct Squares in Partial Words, F. Blanchet-Sadri, R. Mercas and G. Scott, Proceedings of AFL, 2008
Research Talks
- Lie Algebroids on Pinched S^1 Bundles - Poisson 2016 (Zurich 2016)
- Lie Algebroids on Pinched S^1 Bundles - Symplectic Geometry Seminar (Toronto 2016)
- Action-angle variables on b-Poisson manifolds - Geometry Seminar (Waterloo 2015)
- Action-angle variables on b-Poisson manifolds - Symplectic Geometry Seminar (Toronto 2015)
- b-Symplectic Geometry - Geometry Seminar (Dakar, 2014)
- 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)