# Francesco Lin

Hi! I am a Veblen Research Instructor at Princeton and the IAS. Here is my CV. My email address is fl4-at-math-dot-princeton-dot-edu.

## Research

My work focuses on gauge theory, Floer homology and low dimensional topology.

Lately I have been thinking about a Pin(2)-equivariant version of monopole Floer homology.

Here is the list of my works (with links to arXiv when available):

- Monopoles, involutions, and the index theorem for families - in preparation.
- Bar Natan's deformation of Khovanov homology and involutive monopole Floer homology. - submitted.
- Manolescu correction terms and knots in the three-sphere.
- Pin(2)-monopole Floer homology, higher compositions and connected sums - submitted.
- The surgery exact triangle in Pin(2)-monopole Floer homology - accepted for publication in
*Algebraic & Geometric Topology*. - A Morse-Bott approach to monopole Floer homology and the Triangulation conjecture - to appear in the
*Memoirs of the AMS*. - Exact Lagrangian caps of Legendrian knots -
*Journal of Symplectic Geometry*, Vol. 14, No. 1 (2016), pp. 269-295.

Some expository writings:

- Lecture notes on monopole Floer homology,
*Proceedings of the 22nd Gokova Geometry/Topology conference*(2016), pp. 39-80. - Bordered Heegaard Floer homology. This is my Master's thesis. You can blame the me from the past if you find mistakes.