Seminars and Studies

Past

Fall 2015 I co-organized the Student Differential Geometry/Low-Dimensional Topology Seminar with Zhengyi Zhou.

Spring 2016 I organized the Student Differential Geometry/Low-Dimensional Topology Seminar again.

I co-organized a January 2016 workshop for graduate students and postdocs on Lefschetz fibrations. More information.

I co-organized a 1-day April 2016 workshop for graduate students and postdocs on McDuff's paper on rational and ruled symplectic 4-manifolds. More information. If you have ideas for future 1-day workshops, please contact me or Dani!

I co-organized the Student Symplectic Field Theory Seminar with Catherine Cannizzo, Benjamin Gammage, and Jeff Hicks.

I co-organized the Fall 2016 Student Symplectic Seminar with Jeff Hicks.

Student and Learning Seminar Presentations

3-Manifold Geometry, notes for a talk given in a general interest student seminar at Berkeley, 3/12/14.

"Symplectic Fillings and Mapping Class Groups," a talk given in Berkeley's Student Differential Geometry/Low-Dimensional Topology Seminar on the relationships between symplectic fillings of contact manifolds and relations in the mapping class group of a regular fiber of a Lefschetz fibration, 4/21/14.

"Introduction to Hamiltonian Floer Homology," a talk given in a summer student symplectic geometry seminar, 5/14/14.

"Introduction to the Atiyah-Floer Conjecture," a talk given in Berkeley's Student Differential Geometry/Low-Dimensional Topology Seminar on the setup of the Atiyah-Floer conjecture, 9/5/14.

"Quantization Commutes with Reduction," a talk given in Professor Teleman's Symplectic and Quantum Geometry Seminar, following Guillemin and Sternberg "Geometric Quantization and Multiplicities of Group Representations," 9/24/14.

"Examples of Embedded Contact Homology," a talk given in Professors Hutchings and Wehrheim's ECH and Polyfolds Seminar, following Hutchings "Lecture notes on embedded contact homology," 8/13/14 and 8/14/14.

Classification of 4-Manifolds, notes for a talk given in Berkekley's Student Differential Geometry/Low-Dimensional Topology Seminar, 11/14/14.

Morse Homology, notes for a talk given in Berkeley's Student Differential Geometry/Low-Dimensional Topology Seminar, 2/26/15.

The Maslov Index, notes for a talk given in Berkeley's Student Introduction to J-holomorphic Curves Seminar, 3/2/15.

"The Equivalence of Heegard Floer and Embedded Contact Homologies via Open Book Decompositions," a talk given in Professor Hutchings' Contact Homology Seminar, following the survey of Colin, Ghiggini, and Honda, "HF=ECH via Open Book Decompositions: a Summary," as well as their papers on the topic, 3/9/15 and 3/16/15.

4-manifolds as "fiber bundles", notes for a talk given in Berkeley's Student Differential Geometry/Low-Dimensional Topology Seminar, 9/17/15.

Higher operations on Lagrangian Floer Homology, notes for a talk given in Professor Auroux' Student Mirror Symmetry Seminar, following his "Beginner's introduction to Fukaya Categories," 9/29/15 (handwritten).

Smooth 4-Manifolds and Mapping Class Groups of Surfaces, notes for a talk given in Berkeley's Student Differential Geometry/Low-Dimensional Topology Seminar, 2/18/16.

"Symplectic Forms on Sphere Bundles over Surfaces," a talk given at the Berkeley-Stanford 1-day workshop on McDuff's paper on rational and ruled symplectic 4-manifolds, 4/23/16. My talk was on section 4 of her paper; note also the errata.

On McDuff's "The structure of rational and ruled symplectic 4-manfolds", notes for a talk given in Professor Hutchings' topics class on pseudoholomorphic curves, 4/28/16; a summary of some of the ideas from McDuff's paper.

Kirby Diagrams: Basics, notes for a talk 5/4 on the basics of Kirby Diagrams. These are hand-written to allow for ease of picture-drawing.

Fredholmness in SFT, notes for a talk 9/19 in the Student Symplectic Field Theory Seminar based on Wendl's course notes.

Expository Notes

Near-Symplectic Forms and Smooth 4-Manifolds, a short expository piece written for a symplectic geometry class, spring 2014.

Qualifying Exam

I took my qualifying exam on May 8, 2015. Since other students' syllabuses and transcripts were useful to me in preparation for my exam, here are mine: syllabus and transcript.