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Gerrit Smith
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Gerrit Smith

PhD Candidate

335 Ritter Hall
Work: (314) 977-3639

Education:

  1. 2017 PhD Mathematics, SLU (expected in May)
  2. 2013 MA Mathematics, SLU
  3. 2011 BS Aerospace Engineering and Mathematics, SLU

Research Interests:

Topology:

Stable Geometric Topology of 4-Manifolds

Geometric topology of smooth 4-manifolds up to stablization with S2xS2

Consider a separating 3-dimensional submanifold of a smooth 4-dimensional manifold whose fundamental group is mapped injectively into the fundamental group of the 4-manifold. The Seifert–van Kampen theorem implies the fundamental group of the 4-manifold has an amalgamated product structure.  This work attempts to characterize when the converse holds, allowing for stabilization of the 4-manifold by forming the connected sum with S2xS2 factors.  When such decompositions can be realized geometrically, uniqueness of the decomposition is characterized.

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