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

**Office:** 1075 Evans Hall

I am currently thinking about cobordism maps in Embedded Contact Homology by counting pseudoholomorphic curves, with its relation to Seiberg-Witten theory.
My current interest is in using symplectic techniques outside of the symplectic world, in combination with gauge theory, to gain information about 4-manifolds.

My adviser is Michael Hutchings.

*Seiberg-Witten and Gromov invariants for self-dual harmonic 2-forms*, In preparation*Taming the pseudoholomorphic beasts in ℝ×(S*, Preprint 2017 arxiv.org/abs/1711.02069^{1}×S^{2})*Generic transversality for unbranched covers of closed pseudoholomorphic curves*(with Chris Wendl), Comm. Pure Appl. Math. 2017

*"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.*Solutions to "Cohomology of Groups".*As an undergraduate I wrote a solutions manual to my math mentor Ken Brown's textbook.*Essential cohomology of the p-groups with a cyclic subgroup of index p.*Unpublished undergraduate research on group cohomology.

**Math 32 - Precalculus**(Teaching Assistant). Spring 2018**Math W53 - Multivariable Calculus**(Teaching Assistant). Summer 2017**Math 32 - Precalculus**(Teaching Assistant). Spring 2017**Math 191 - Knot Theory**(Instructor). Spring 2016 ..... Syllabus, Sketched Lectures, Projects**Physics C10 - Physics for Future Presidents**(Teaching Assistant). Fall 2012**Physics 7A - Newtonian Mechanics**(Teaching Assistant). Fall 2011, Spring 2012, Summer 2012

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,

For 1-2 years I ran the