# Publications and Preprints

### Publications

- [19]
*Remarks on the self-shrinking Clifford Torus*, with C.G. Evans and J.D. Lotay, (2018), to appear in J. Reine Angew. Math., [arXiv:1802.01423]. - [18]
*Local foliation of manifolds by surfaces of Willmore type*, with T. Lamm and J. Metzger, (2018), to appear in Annales de l'Institut Fourier, [arXiv:1806.00465]. - [17]
*Ricci flow from spaces with isolated conical singularities,*with P. Gianniotis, (2016), Geom. Topol. 22 (2018), no. 7, 3925–3977, [arXiv:1610.09753]. - [16]
*Consequences of strong stability of minimal submanifolds*, with J.D. Lotay, (2018), to appear in IMRN, [arXiv:1802.03941]. - [15]
*On Short Time Existence for the planar network flow*, with A. Neves and T. Ilmanen, J. Differ. Geom., 111 (1), (2019), [arXiv:1407.4756]. - [14]
*A local regularity theorem for mean curvature flow with triple edges*, with B. White, (2016), to appear in J. Reine Angew. Math., [arXiv:1605.06592]. - [13]
*The Half-Space Property and entire positive minimal graphs in M × R*, with H. Rosenberg and J. Spruck, J. Differ. Geom., 95 (2), 321–336 (2013), [arXiv:1206.3499]. - [12]
*Uniqueness of compact tangent flows in Mean Curvature Flow*, J. Reine Angew. Math. (690), 163–172 (2014), [arXiv:1107.4643]. - [11]
*Expanding solitons with non-negative curvature operator coming out of cones*, with M. Simon, Math. Z. 275 (1-2), 625–639 (2013), [arXiv:1008.1408]. - [10]
*Stability of Hyperbolic space under Ricci-flow*, with O.C. Schnürer and M. Simon, Comm. Anal. Geom.**19**, No. 5, 1023–1047 (2011), [arXiv:1003.2107]. - [9]
*Foliations of asymptotically flat spacetimes by surfaces of Willmore type*, with T. Lamm and J. Metzger, 2009, Math. Ann.**350**, No. 1, 1–78 (2011), [arXiv:0903.1277]. - [8]
*Evolution of convex lens-shaped networks under curve shortening flow*, with O.C. Schnürer, M. Saez, A. Azouani, M. Georgi, J. Hell, N. Jangle, A. Koeller, T. Marxen, S. Ritthaler, and B. Smith, Trans. Amer. Math. Soc.**363**, No. 5, 2265–2294 (2011), [arXiv:0711.1108]. - [7]
*Stability of Euclidean space under Ricci-flow*, with M. Simon and O.C. Schnürer, Comm. Anal. Geom. 16, No. 1, 127–158 (2008), [arXiv:0706.0421]. - [6]
*No mass drop for mean curvature flow of mean convex hypersurfaces*, with J. Metzger, Duke Math. J., Vol. 124 (2) (2008), 283–312, [arXiv:math/0610217]. - [5]
*Nonlinear evolution by mean curvature and isoperimetric inequalities*, J. Differ. Geom.**79**(2008), 197–241, [arXiv:math/0606675]. - [4]
*Self-similarly expanding networks to curve shortening flow*, with O.C. Schnürer, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) Vol. VI (2007), 511-528, [arXiv:math/0702698]. - [3]
*Stability of translating solutions to mean curvature flow*, with J. Clutterbuck and O. C. Schnürer, Calc. Var. Partial Differential Equations**29**(2007), no. 3, 281–293, [arXiv:math/0509372]. - [2]
*Convexity estimates for flows by powers of the mean curvature*, appendix with O.C. Schnürer, Ann. Scuol Norm. Sup. Pisa Cl. Sci. (5), Vol. V (2006), 261–277, [pdf]. - [1]
*Evolution of convex hypersurfaces by powers of the mean curvature*, Math. Z. 251 (2005), no. 4, 721–733, [pdf].

### Preprints

- [6]
*On the regularity of Ricci flows coming out of metric spaces,*with A. Deruelle and M. Simon (2019), [arXiv: 1904.11870] - [5]
*Uniqueness of asymptotically conical tangent flows*, with O. Chodosh (2019), [arXiv:1901.06369]. - [4]
*Ancient solutions in Lagrangian mean curvature flow*, with B. Lambert and J.D. Lotay (2019), [arXiv:1901.05383]. - [3]
*Generic uniqueness of expanders with vanishing relative entropy*, with A. Deruelle, (2018), [arXiv:1812:08504]. - [2]
*Optimal isoperimetric inequalities for surfaces in any codimension in Cartan-Hadamard manifolds*, (2018), [arXiv:1802.00226]. - [1]
*Evolution of networks with multiple junctions,*survey, with C. Mantegazza, M. Novaga and A. Pluda, (2016), [arXiv:1611.08254].

**Talks**

- Uniqueness of asymptotically conical tangent flows, talk given at the conference 'Geometric Analysis and General Relativity. A conference in honour of Gerhard Huisken's 60th birthday' at ETH Zürich in June 2019.

**Lecture notes**

- Partial Differential Equations II, lecture course given at the Free Univeristy Berlin in 2011/2012
- Introduction to Mean Curvature Flow, LSGNT course given at UCL in the fall 2017