# 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 helping organizing the Topology seminar and the Princeton Geometry/Topology 2018 Summer School (here's the syllabus of my minicouse).

## Research

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

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

- The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds

with M. Lipnowski - in preparation. - Pin(2)-monopole Floer homology and the Rokhlin invariant

Submitted. - Monopole Floer homology and the spectral geometry of three-manifolds

Accepted for publication in*Communications in Analysis and Geometry*. - Bar-Natan's deformation of Khovanov homology and involutive monopole Floer homology

To appear in*Mathematische Annalen*. - Pin(2)-monopole Floer homology, higher compositions and connected sums

*Journal of Topology*10 (2017), no. 4, 921–969. - 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 2019, I will teach a graduate class on
*Global analysis and low-dimensional topology*. - In Fall 2018, I am teaching MAT 104
*Calculus II*. - 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*.