Research

Selected publications and preprints

Rectifiability and tangents in a rough Riemannian setting
M. Goering, T. Toro, and B. Wilson,
(arXiv pre-print)

Flat interior singularities for area almost-minimizing currents
M. Goering, and A. Skorobogatova,
(arXiv pre-print)

A note on improved differentiability for the Banach-space valued Finsler $\gamma$-Laplacian
M. Goering, L. Koch,
Comptes Rendus Mathématique 36`1, 1091-1105, 2023.
(arXiv pre-print)

A study in quantitative equidistribution on the unit square
M. Goering, C. Weiss,
Acta Arithmetica, 205, 2022, 63-85.
(arXiv pre-print)

A Harnack inequality for weak solutions of the Finsler $\gamma$-Laplacian
M. Goering, 2020
(arXiv pre-print)

Families of well approximable measures
S. Fairchild, M. Goering, C. Weiss, 2021
Uniform Distribution Theory16(1), 2021, 53-70.
(arXiv pre-print)

Menger curvatures and C^{1,\alpha} rectifiability of measures
S. Ghinassi, M. Goering
Archiv der Mathematik, 114(4), 2020, 419-429
(arXiv pre-print)

Two Phase Free Boundary Problem for Poisson Kernels
S. Bortz, M. Engelstein, M. Goering, T. Toro, and Z. Zhao,
Indiana Univ. Math. J.,  77, 2022, 251-306.
(arXiv pre-print)

Wild examples of rectifiable sets
M. Goering and S. McCurdy (2021)
Annales Academiæ Scientiarum Fennicæ, 46(1), 553-570.
(arXiv pre-print)

Characterizations of countably n-rectifiable Radon measures by higher-dimensional Menger curvatures
M. Goering
Real Analysis Exchange 46(1), 2021, 1-36.
(arXiv pre-print)

Modulus of families of walks on graphs
N. Albin, F. Darabi Sahneh, and M. Goering.
Contemporary Mathematics, AMS. Proceedings of the Conference Complex Analysis and Dyanmical Systems VII, 699, 35-56, (2017).
Numerical investigation of metrics for epidemic processes on graphs
M. Goering, N. Albin, P. Poggi-Corradini, C. Scoglio, F. Darabi Sahneh.
In 2015 49th Asilomar Conference on Signals, Systems and Computers, 1317-1322, IEEE, 2015.