Publications

1. The Ricci flow on manifolds with boundary.  Journal of Differential Geometry, Vol. 104, No. 2 (2016), pp. 291-324.

2. Boundary estimates for the Ricci flow.  Calculus of Variations and PDEs, Volume 55, Issue 1, February 2016.

3. The size of the singular set of a Type I Ricci flow.  J. Geom. Anal. 27 (2017), no. 4, 3099-3119

4. Ricci flow from spaces with isolated conical singularities, (joint with Felix Schulze), Geom. Topol. Volume 22, Number 7 (2018), 3925-3977. 

5. Diameter and curvature control under mean curvature flow, (joint with Robert Haslhofer), Amer. J. Math (to appear)  

6. Regularity theory for Type I Ricci flows, Calc. Var. (2019) 58: 200. https://doi.org/10.1007/s00526-019-1644-7

7.  A gradient flow of isometric $G_2$ structures, (joint with Shubham Dwivedi and Spiro Karigiannis), Journal of Geometric Analysis (to appear)

Links to videos of talks on my research are available here:

• Boundary estimates for the Ricci flow. Simons Center for Geometry and Physics, Stony Brook, November 2014.

• The Ricci flow on manifolds with boundary. Banff International Research Station, Banff, April 2015.

• Ricci flow from spaces with isolated conical singularities, on joint work with Felix Schulze, Fields Institute, September 2016.

• Regularity theory for Type I Ricci flows, Fields Institute, September 2017.

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