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Maggie Miller (mathematician)
Maggie Miller is a mathematician and an assistant professor in the mathematics department at the University of Texas at Austin. She was also a former Visiting Clay Fellow, and Stanford Science Fellow at Stanford University in the Mathematics Department. Her primary research area is low-dimensional topology. Professional career Miller earned her PhD in mathematics from Princeton University, where she was advised by mathematician David Gabai and wrote her dissertation on extending fibrations of knot complements to ribbon disk complements. Prior to graduate school, she completed her undergraduate studies at University of Texas at Austin. After completing her doctoral degree, Miller worked as an NSF Postdoctoral Fellow from 2020 to 2021 at the Massachusetts Institute of Technology. Later as a Visiting Clay Fellow and Stanford Science Fellow, she spent time at Stanford University from 2021 to 2023. Miller is currently a tenure track professor at the University of Texas at Austi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometric Topology
In mathematics, geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another. History Geometric topology as an area distinct from algebraic topology may be said to have originated in the 1935 classification of lens spaces by Reidemeister torsion, which required distinguishing spaces that are homotopy equivalent but not homeomorphic. This was the origin of ''simple'' homotopy theory. The use of the term geometric topology to describe these seems to have originated rather recently. Differences between low-dimensional and high-dimensional topology Manifolds differ radically in behavior in high and low dimension. High-dimensional topology refers to manifolds of dimension 5 and above, or in relative terms, embeddings in codimension 3 and above. Low-dimensional topology is concerned with questions in dimensions up to 4, or embeddings in codimension up to 2. Dimension 4 is special, in that in some respects (topologica ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
