**e-mail:** cgerig (at) berkeley (dot)
edu

**Office:** some random café

I am thinking about cobordism maps in Embedded Contact Homology by counting (possibly branched covers of) pseudoholomorphic curves,
with a related interest in gauge theory (Seiberg-Witten invariants) and near-symplectic geometry.

My adviser is Michael Hutchings.

- Taming the pseudoholomorphic beasts in ℝ×(S
^{1}×S^{2}).*Work in progress*. - Independence of J for ECH.
*Work in progress*. - Generic transversality for unbranched covers of closed pseudoholomorphic curves. Submitted 2014. (with Chris Wendl)
- Essential cohomology of the p-groups with a cyclic Subgroup of index p. Unpublished 2010.

- "Riemann-Roch" for Punctured Curves. A sketch of a new proof of the Fredholm index formula for punctured pseudoholomorphic curves, which is a by-product of separate work in progress.
- Obstruction Bundle Gluing. Notes from a lecture series given by Michael Hutchings and a discussion session given by myself, at the 2015 IHES Moduli Conference.
- Lagrangian intersection Floer homology. A talk I gave in Denis Auroux’s 2011 seminar on Mirror Symmetry.
- Solutions to "Cohomology of Groups". As an undergraduate I wrote a solutions manual to my math mentor Ken Brown's textbook.

**Math 191 - Knot Theory**(Instructor). Spring 2016.**Physics 7A - Newtonian Mechanics**(Teaching Assistant). Fall 2011, Spring 2012, Summer 2012.

Syllabus. Sketched Lecture Notes. Projects.

I entered the PhD Physics program at UC Berkeley for one year, before quitting to join their math department. I worked under Dan Stamper-Kurn for a few months as a graduate student, with the intent of using cold atoms to study cQED (cavity quantum electrodynamics). I began by designing/building a laser to use in the lab and writing a documentation, Grating-Stabilized 1064nm Diode Laser, so that future students can easily build more.

For a while I ran the Graduate Social Club at UC Berkeley (a project under the graduate government), in which I hosted awesome social events for the campus-wide graduate community. This is not only to give us an outlet to relax from our studies, but to give us the opportunity to meet others outside of our own department!