The Ricci flow on manifolds with boundary, Journal of Differential Geometry, Vol. 104, No. 2 (2016), pp. 291-324.
Boundary estimates for the Ricci flow, Calculus of Variations and PDEs, Volume 55, Issue 1, February 2016.
The size of the singular set of a Type I Ricci flow, Journal of Geometric Analysis 27 (2017), no. 4, 3099-3119
Ricci flow from spaces with isolated conical singularities, Geom. Topol. Volume 22, Number 7 (2018), 3925-3977, joint with Felix Schulze.
Diameter and curvature control under mean curvature flow, American Journal of Mathematics 142 (2020), no. 6, 1877–1896, joint with Robert Haslhofer.
Regularity theory for Type I Ricci flows, Calculus of Variations and PDEs 58 (2019), no. 6, Paper No. 200.
A gradient flow of isometric G_2 structures, Journal of Geometric Analysis 31 (2021), no. 2, 1855–1933, joint with Shubham Dwivedi and Spiro Karigiannis.
Flows of G_2 structures II: Curvature, torsion, symbols, and functionals, Pure and Applied Mathematics Quarterly 21 (2025), 2035-2186, joint with Shubham Dwivedi and Spiro Karigiannis.https://dxhttps://dx.doi.org/10.4310/PAMQ.2505071.doi.org/10.4310/PAMQ.250507180929
Splitting maps in Type I Ricci flows, Calc. Var. 64, 212 (2025). https://doi.org/10.1007/s00526-025-03044-z
A G_2-Hilbert functional in G_2-geometry, arXiv:2505.06872, joint with George Zacharopoulos
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.