"A rock pile ceases to be a rock pile the moment a single man
contemplates it, bearing within him the image of a cathedral."—Antoine
de Saint-Exupery, The Little Prince
Shamuel (Sam) Auyeung
(This webpage will move soon). I am a 6th-year graduate student at Stony
Brook University (graduating soon and off to Trinity College for a
visiting position). Here is my CV. My
research interests lie mainly in symplectic geometry and more
specifically, I think about various Floer homology theories applied to
problems concerning the interplay of algebraic and symplectic geometry. I
also have interest in gauge theories, low-dimensional topology, and
mathematical physics but currently, more as a "hobbyist." My advisor is
Mark
McLean.
I am originally from Colorado (where the above photo was taken) and before
arriving at SBU, I studied math, philosophy, and ancient Greek at Calvin
College.
Email: shamuel271828[dot]auyeung196883[at]math[dot]stonybrook[dot]edu
(remove all the numbers)
Office: 3-104, Math Department, Stony Brook University
Research Papers
Seminars I Co-Organize(d)
Invited Talks
- University of Iowa Geometry and Topology Seminar: "Adjacent
Singularities, Multiplicity, and Fixed-Point Floer Cohomology"
- Rutgers University, Woodward’s Research Group: "Adjacent
Singularities, Multiplicity, and Fixed-Point Floer Cohomology"
- Western Hemisphere Virtual Symplectic Seminar: "Local Lagrangian Floer
Homology of Quasi-Minimally Degenerate Intersections"
Other (Expository) Talks I've Given
- Symmetric Products and Eilenberg-MacLane Spaces
- Survey of Sheaf Theoretic Approaches to Symplectic/Contact Geometry
- Oriented Cobordism, Genera, and the Hirzebruch Signature Theorem (notes)
- Symplectic Cohomology I: Reeb Dynamics and Viterbo Functoriality
- Symplectic Cohomology II: Product Structures, Loop Spaces, and
Hochschild Homology
- Monodromy Zeta Functions and Adjacent Singularities
- <k>-Manifolds and Framed Cobordism of Manifolds with Corners
(based on Cohen-Jones-Segal)
- Some Incarnations of McKay Correspondences (following McKay, Du Val)
- Twisted Complexes and Split Generation (following Auroux)
- Morse Theory and Hamiltonian Floer Homology (following Audin-Damian)
- The de Rham Groupoid (following Goldman-Xia)
Teaching
This semester I am a TA for MAT 132.
Notes
Other Interesting Resources (not written by me)
- Here is a nice, short article
by Henry Cohn on why symplectic geometry naturally arose from classical
mechanics.
- Here is a blog
by Chris Wendl on symplectic and contact geometry.
- Here is a mathematical interpretation
of the Aharonov-Bohm effect from physics. In particular, I find it
validating towards math.
- Here is a brief introduction
to mirror symmetry from the perspective of physicist Robbert Dijkgraaf.
Silliness
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I'm not sure what to mind concerning copyright issues. But ultimately,
shouldn't credit be given to Bill Watterson?