Juan Muñoz-Echániz
Juan Muñoz-Echániz
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About
I am a Research Assistant Professor (postdoc) at the Simons Center for Geometry and Physics at Stony Brook University, mentored by Simon Donaldson. Previously, I was a PhD student at Columbia University, advised by Francesco Lin. My CV.
I work on Floer theory, gauge theory and their interplay with low-dimensional topology, symplectic and contact geometry.
Email: jmunozechaniz-at-scgp.stonybrook.edu
Papers
Counting SL(2,C) connections on Seifert-fibered spaces, arXiv preprint
The monodromy diffeomorphism of weighted singularities and Seiberg--Witten theory, joint with Hokuto Konno, Jianfeng Lin and Anubhav Mukherjee, arXiv preprint
On four-dimensional Dehn twists and Milnor fibrations, joint with Hokuto Konno, Jianfeng Lin and Anubhav Mukherjee, arXiv preprint
Exotic Dehn twists on sums of two contact 3-manifolds, joint with Eduardo Fernández, to appear in Geometry & Topology
A monopole invariant for families of contact structures, Advances in Mathematics
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