Degrees:
Ph.D., Stony Brook Univ.
B.S., Calvin College
B.A., Calvin College
Shamuel (Sam) Auyeung completed his undergraduate degree at Calvin College in Grand Rapids, MI, in mathematics, philosophy, and ancient Greek in 2017. He obtained his PhD in 2023 at Stony Brook University, with a focus on using Floer theory to answer questions about algebraic singularities. Sam also has research interests in the relationship between string and symplectic topology and independently, almost complex geometry.
He enjoys sharing his passion for mathematics in the classroom and his goal is to show students that maths involves concreteness and abstraction, precision and conjecture, tradition and creativity. Most fundamentally, as evident from the Greek word, mathematics is about human understanding.
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Calculus sequence
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Linear and abstract algebra
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Geometry and topology
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Symplectic and contact geometry
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Algebraic and string topology
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Almost complex geometry
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Publications:
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S. Auyeung. Adjacent Singularities, TQFTs, and Zariski's Multiplicity Conjecture
. (2023). submitted and on arXiv.
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S. Auyeung. Local Lagrangian Floer Homology of Quasi-Minimally Degenerate Intersections. (2023). to appear in Journal of Topology and Analysis.
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S. Auyeung, J. Guu, J. Hu. On the algebra generated by ¯µ , ¯? , ?, µ. (2023). Complex Manifolds: Vol. 10: Iss. 1, Article 3.
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S. Auyeung, J. Ruiter, D. Zhang. An Algebraic Characterization of Highly Connected 2n-Manifolds
. (2016). Rose-Hulman Undergraduate Mathematics Journal: Vol. 17 : Iss. 2 , Article 5.
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S. Auyeung, E Yu. The Krein Matrix and an Interlacing Theorem. (2013). SIAM Undergraduate Research Online Journal,Vol. 7.
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- Barry M. Goldwater Scholarship, 2015-2016
- NSF Scientific Computing Scholarship, 2012-2017
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