*"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
*

I am a 6th-year graduate student at Stony Brook University (hence,
am on the job market), with research interest mainly in symplectic
geometry. 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.stonybrook.edu
(remove all the numbers)

**Office: **3-104, Math Department, Stony Brook University

- with Jin-Cheng Guu and Jiahao Hu, "On the algebra generated by
\bar{\mu},\bar{\partial},\partial,\mu,"preprint available here.

- "Local Lagrangian Floer Homology of Quasi-Minimally Degenerate Intersections," preprint available here.

- with Eric Yu: The Krein Matrix and an Interlacing Theorem
- with Joshua Ruiter and Daiwei Zhang: An Algebraic Characterization of Highly Connected 2n-Manifolds

Western Hemisphere Virtual Symplectic Seminar: "Local Lagrangian Floer Homology of Quasi-Minimally Degenerate Intersections"

- 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)

- Condensed review for SBU's comprehensive exam; the exam fluctuates year by year. This review sheet does not cover, for example, representations.
- Qualifying Exam
- RTG Student Seminar (Fall 2019): Homological Mirror Symmetry
- Introductory note from a Fall 2019 seminar on G_2 manifolds
- Examples/Expository Notes

- 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.

I'm not sure what to mind concerning copyright issues. But ultimately, shouldn't credit be given to Bill Watterson?