 Info
Gerrit
Smith
PhD Candidate
335 Ritter Hall
Work:
(314) 9773639
Education:

2017 PhD Mathematics, SLU (expected in May)

2013 MA Mathematics, SLU

2011 BS Aerospace Engineering and Mathematics, SLU
Research Interests:

Topology:

Stable Geometric Topology of 4Manifolds
Geometric topology of smooth 4manifolds up to stablization with S^{2}xS^{2}
Consider a separating 3dimensional submanifold of a smooth 4dimensional manifold whose fundamental group is mapped injectively into the fundamental group of the 4manifold. The Seifertâ€“van Kampen theorem implies the fundamental group of the 4manifold has an amalgamated product structure. This work attempts to characterize when the converse holds, allowing for stabilization of the 4manifold by forming the connected sum with S^{2}xS^{2} factors. When such decompositions can be realized geometrically, uniqueness of the decomposition is characterized.


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