John Hoffman

My name is John Hoffman.  I am Postdoctoral researcher in the mathematics department at Florida State University.  My research lies at the intersection of harmonic analysis, partial differential equations, and geometric measure theory.  I am generally interested in notions of quantitative rectifiability, and the relationships between analytic, geometric, and PDE-related properties of sets.

Here is my cv.

Publications:

• Coronizations and big pieces in metric spaces. Joint with Simon Bortz, Steve Hofmann, Kaj Nyström, and José Luis Luna García. Annales de l’Institut Fourier, to appear.  arXiv 

• On big pieces approximations of parabolic hypersurfaces. Joint with Simon Bortz, Steve Hofmann, Kaj Nyström, and José Luis Luna García, Annales Fennici Mathematici, 47(1), 533–571.  arXiv 

• Corona decompositions for parabolic uniformly rectifiable sets. Joint with  Simon Bortz, Steve Hofmann, Kaj Nyström, and José Luis Luna García, submitted arXiv .

• Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets.  Joint with  Simon Bortz, Steve Hofmann, Kaj Nyström, and José Luis Luna García, Analysis & PDE, to appear arXiv . 

• Parabolic singular integrals with nonhomogeneous kernels Joint with Simon Bortz, Steve Hofmann, Kaj Nyström, and José Luis Luna García arXiv:2103.12830v1 arXiv