## Publikationen

### 2017

Simon, M.:
Ricci flow of Regions with Curvature Bounded Below in Dimension Three,
J Geom Anal (2017). doi:10.1007/s12220-017-9793-4
Ricci flow of Regions with Curvature Bounded Below in Dimension Three

### 2016

Simon, M., Topping, P. :
Local control on the geometry in 3D Ricci flow, Arxiv Preprint (2016), arXiv:1611.06137
Local control on the geometry in 3D Ricci flow

Boehm, C., Lafuente, R., Simon, M. :
Optimal curvature estimates for homogeneous Ricci flows, Arxiv Preprint (2016), arXiv:1604.02625
Optimal curvature estimates for homogeneous Ricci flows

### 2015

Simon, Miles :
Extending four dimensional Ricci flows with bounded scalar curvature, Arxiv Preprint (2015), arXiv:1504.02910
Extending four dimensional Ricci flows with bounded scalar curvature

Simon, Miles :
Some integral curvature estimates for the Ricci flow in four dimensions , Arxiv Preprint (2015), arXiv:1504.02623
Some integral curvature estimates for the Ricci flow in four dimensions

### 2014

Simon, Miles and Wheeler, Glen :
Some local estimates and a uniqueness result for the entire biharmonic heat equation , Advances in Calculus of Variations, DOI: 10.1515/acv-2014-0027, December 2014
Some local estimates and a uniqueness result for the entire biharmonic heat equation

### 2013

Simon, Miles :
Local smoothing results for the Ricci flow in dimensions two and three. accepted March 2013, by the journal "Geometry and topology"
Local smoothing results for the Ricci flow in dimensions two and three

Schulze, Felix; Simon, Miles :
Expanding solitons with non-negative curvature operator coming out of cones Mathematische Zeitschrift, DOI 10.1007/s00209-013-1150-0,Accepted: 5 February 2013
Expanding solitons with non-negative curvature operator coming out of cones

### 2012

Simon, Miles :
Ricci flow of non-collapsed 3-manifolds whose Ricci curvature is bounded from below. Journal fuer die reine und angewandte Mathematik (Crelle), DOI: 10.1515/CRELLE.2011.088, January 2012
Ricci flow of non-collapsed 3-manifolds whose Ricci curvature is bounded from below

### 2008

Simon, Miles :
Local results for flows whose speed or height satisfies a bound of the form $\frac c t$. International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn097, 14 pages, (2008)
Local results for flows whose speed or height satisfies a bound of the form $\frac c t$

Schnuerer, Oliver, Schulze, Felix, Simon, Miles :
Stability of Euclidean space under Ricci flow, Communictions in Geom. and Ana., Volume 16, Number 1 (2008).
Stability of Euclidean space Ricci flow

Simon, Miles :
Local results for flows whose speed or height satisfies a bound of the form $\frac c t$. International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn097, 14 pages, (2008)
Local results for flows whose speed or height satisfies a bound of the form $\frac c t$

Schnuerer, Oliver, Schulze, Felix, Simon, Miles :
Stability of Euclidean space Ricci flow, Communictions in Geom. and Ana., Volume 16, Number 1 (2008).
Stability of Euclidean space Ricci flow

### 2007

Simon, Miles :
Ricci flow of almost non-negatively curved three manifolds, accepted 2007: Journal fuer die reine und angewandte Mathematik.
Ricci flow of almost non-negatively curved three manifolds

Simon, Miles :
Ricci flow of almost non-negatively curved three manifolds, accepted 2007: Journal fuer die reine und angewandte Mathematik.
Ricci flow of almost non-negatively curved three manifolds

### 2004

Simon, Miles :
Deforming Lipschitz metrics into smooth metrics while keeping their curvature operator non-negative, Geometric Evolution Equations, Hsinchu, Taiwan, July 15- August 14, 2002, edited by Ben Chow, Sun-Chin Chu, Chang-Shou Lin, Shu-Cheng Chang American Mathematical Society, (2004)
Deforming Lipschitz metrics into smooth metrics while keeping their curvature operator non-negative

### 2002

Simon, Miles :
Deformation of C0 Riemannian metrics in the direction of their Ricci curvature, Comm. Anal. Geom. 10 (2002), no. 5, 1033-1074.
Deformation of C0 Riemannian metrics in the direction of their Ricci curvature (with corrections) &

Simon, Miles :
Some corrections to "C0 Riemannian metrics in the direction of their Ricci curvature":
PDF

### 2000

Simon, Miles:
A class of Riemannian manifolds which pinch when evolved by Ricci flow, Manuscripta Mathematica, 101, (2000), no.1
A class of Riemannian manifolds which pinch when evolved by Ricci flow,

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