I am a Research Assistant Professor (postdoc) at the Simons Center for Geometry and Physics at Stony Brook University, mentored by Simon Donaldson. I received my PhD in 2023 at Columbia University, advised by Francesco Lin. My CV.
Email: jmunozechaniz-at-scgp.stonybrook.edu
I am on the academic job market this year.
I am interested in gauge theory, Floer homology, and their applications to topology and geometry. My recent work explores the interplay between gauge theory, mapping class groups of 4-manifolds and complex singularities.
Papers
Configurations of Lagrangian spheres in K3 surfaces, arXiv preprint
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, Geometry & Topology
A monopole invariant for families of contact structures, Advances in Mathematics