*"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). 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

- With Jin-Cheng Guu and Jiahao Hu, "On the algebra generated by
\bar{\mu},\bar{\partial},\partial,\mu,"preprint available here. Early in the process, we consulted
Macaulay2; code is 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

- Symplectic Geometry, Gauge Theory, and Low-Dimensional Topology Seminar (Fall 2022)
- Student Symplectic Seminar (Fall 2022): Weinstein domains and their symplectic invariants
- RTG Student Seminar (Fall 2019): Homological Mirror
Symmetry (and Spring 2020: Modular Forms but that was disrupted
halfway)

- 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"

- 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)

This semester I am a TA for MAT 122.

- Condensed review for SBU's comprehensive exam; the exam fluctuates year by year. This review sheet does not cover, for example, representations.
- Qualifying Exam
- 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?