# 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. I am co-organizing the Topology seminar.

## 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):

- Pin(2)-monopole Floer homology and the Rokhlin invariant - submitted.
- Monopole Floer homology and the spectral geometry of three-manifolds - submitted.
- Bar Natan's deformation of Khovanov homology and involutive monopole Floer homology. - submitted.
- Pin(2)-monopole Floer homology, higher compositions and connected sums - to appear in
*Journal of Topology*. - The surgery exact triangle in Pin(2)-monopole Floer homology -
*Algebraic & Geometric Topology*17-5 (2017), 2915--2960. - 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.

## Teaching

- In Spring 2018, I am teaching MAT 202
*Linear Algebra with Applications*. - In Fall 2017, I taught the Junior Seminar in Geometry. The topic was
*Differential Topology*, and the main references Milnor's books*Topology from the differentiable viewpoint*and*Morse theory*.