Juan Muñoz-Echániz PhD Student Department of Mathematics Columbia University CV Email: juanmunoz[at]math[dot]columbia[dot]edu

About

I'm a fifth year PhD student of Francesco Lin. I am interested in Floer theory, gauge theory and their interactions with low-dimensional, symplectic and contact topology. 

I graduated in May 2023 and will become a Research Assistant Professor (postdoc) at the Simons Center for Geometry and Physics starting this Fall 2023.

Research

• PhD thesis
• Exotic Dehn twists on sums of two contact 3-manifolds (joint with Eduardo Fernández)
• A monopole invariant for families of contact structures (to appear in Advances in Mathematics )

Talks

• 2023 Georgia Topology Conference , May 24 2023
• Washington University in St. Louis, March 3 2023
• Taubes seminar, February 15 and February 22 2023
• Harvard University, November 18 2022
• Michigan State University, October 18 2022
• Columbia University, September 20 2022 
• Frontiers in Geometry and Topology Summer School, August 5 2022 (short talk)
• Georgia Institute of Technology, March 6, 2022
• Stanford University, March 1, 2022
• Simons Center for Geometry and Physics/ Stony Brook University, November 4, 2021
• Princeton University, September 16, 2021
• Oxford-London Gauge Assembly, August 20, 2020