**Publications and preprints:**

- Geometric and analytic structures on metric spaces homeomorphic to a manifold, (with G. Basso and D. Marti), preprint arXiv 2023.
- Isoperimetric inequalities vs. upper curvature bounds, (with S. Stadler), Geom. Topol., to appear.
- Quasiconformal almost parametrizations of metric surfaces, (with D. Meier), J. Eur. Math. Soc. (JEMS), to appear.
- Constructing Hölder maps to Carnot groups, (with R. Young), J. Amer. Math. Soc. (JAMS), to appear.
- Undistorted fillings in subsets of metric spaces, (with G. Basso and R. Young), Advances in Mathematics 423 (2023), paper no. 109024, 54 pp. 2023.
- Area minimizing surfaces in homotopy classes in metric spaces, (with E. Soultanis), Trans. Amer. Math. Soc. 375 (2022), no. 7, 4711 - 4739
- Harmonic quasi-isometric maps into Gromov hyperbolic CAT(0)-spaces, (with H. Sidler), J. Differential Geom. 118 (2021), no. 3, 555 - 572.
- Area minimizing surfaces of bounded genus in metric spaces, (with M. Fitzi), J. Reine Angew. Math. 770 (2021), 87 - 112.
- Morrey's ε-conformality lemma in metric spaces, (with M. Fitzi), Proc. Amer. Math. Soc. 148 (2020), 4285-4298.
- Dehn functions and Hölder extensions in asymptotic cones, (with A. Lytchak and R. Young), J. Reine Angew. Math. 763 (2020), 79 - 109.
- Canonical parametrizations of metric discs, (with A. Lytchak), Duke Math. Journal 169 (2020), no. 4, 761 - 797.
- Area minimizing discs in locally non-compact metric spaces, (with C. Guo), Comm. Anal. Geom. 28 (2020), no. 1, 89 - 112.
- Spaces with almost Euclidean Dehn function, Math. Ann. 373 (2019), no. 3 - 4, 1177 - 1210.
- Isoperimetric characterization of upper curvature bounds, (with A. Lytchak), Acta Mathematica 221 (2018), no. 1, 159 - 202.
- Intrinsic structure of minimal discs in metric spaces, (with A. Lytchak), Geom. Topol. 22 (2018), no. 1, 591 - 644.
- Energy and area minimizers in metric spaces, (with A. Lytchak), Adv. Calc. Var. 10 (2017), no. 4, 407 - 421.
- Area minimizing discs in metric spaces, (with A. Lytchak), Arch. Rational. Mech. Anal. 223 (2017), no. 3, 1123 - 1182.
- Regularity of harmonic discs in spaces with quadratic isoperimetric inequality, (with A. Lytchak), Calc. Var. Partial Differential Equations 55 (2016), no. 4, Paper No. 98, 19 pp..
- Wolfe's theorem for weakly differentiable cochains, (with C. Petit and K. Rajala), J. Funct. Anal. 268 (2015), no. 8, 2261 - 2297.
- Isoperimetric inequalities and asymptotic geometry, Proceedings of the ICM Seoul 2014, Vol. II, 1049 - 1073.
- Lipschitz homotopy groups of the Heisenberg groups, (with R. Young), Geom. Funct. Anal. 24 (2014), no. 1, 387 - 402.
- Plateau's problem for integral currents in locally non-compact metric spaces, Adv. Calc. Var. 7 (2014), no. 2, 227 - 240.
- An upper gradient approach to weakly differentiable cochains, (with K. Rajala), J. Math. Pures Appl., 100 (2013), no. 6, 868 - 906.
- The pointed flat compactness theorem for locally integral currents, (with U. Lang), Comm. Anal. Geom. 19 (2011), no. 1, 159 - 190.
- Nilpotent groups without exactly polynomial Dehn function, J. Topology 4 (2011), 141 - 160.
- The Intrinsic Flat Distance between Riemannian Manifolds and other Integral Current Spaces, (with C. Sormani), J. Differential Geom. 87 (2011), no. 1, 117 - 199.
- Rectifiability of flat chains in Banach spaces with coefficients in Z_p, (with L. Ambrosio), Math. Zeitschrift 268 (2011), no. 1 - 2, 477 - 506.
- The asymptotic rank of metric spaces, Comment. Math. Helv. 86 (2011), no 2, 247 - 275.
- Compactness for manifolds and integral currents with bounded diameter and volume, Calc. Var. Partial Differential Equations 40 (2011), no. 3-4, 423 - 448.
- Weak convergence of currents and cancellation, (with C. Sormani), Calc. Var. Partial Differential Equations 38 (2010), no. 1-2, 183 - 206.
- Lipschitz extensions into jet space Carnot groups, (with R. Young), Math. Res. Lett. 17 (2010), no. 6, 1137 - 1149.
- Lipschitz non-extension theorems into jet space Carnot groups, (with S. Rigot), Int. Math. Res. Notices (2010), no. 18, 3633 - 3648.
- A short proof of Gromov's filling inequality, Proc. Amer. Math. Soc. 136 (2008), no. 8, 2937 - 2941.
- Characterizations of metric trees and Gromov hyperbolic spaces, Math. Res. Lett. 15 (2008), no. 5, 1017 - 1026.
- Gromov hyperbolic spaces and the sharp isoperimetric constant, Invent. Math. 171 (2008), no. 1, 227 - 255.
- Isoperimetric inequalities and the asymptotic geometry of Hadamard spaces, (with U. Lang), L'Enseignement Mathematique (2) 54 (2008), fasc. 1 - 2.
- Flat convergence for metric integral currents, Calc. Var. Partial Differential Equations 28 (2007), no. 2, 139 - 160.
- Filling invariants at infinity and the Euclidean rank of Hadamard spaces, Int. Math. Res. Not., Volume 2006 (2006), Article ID 83090, 33 pages.
- Isoperimetric inequalities of Euclidean type in metric spaces, Geom. Funct. Anal. 15 (2005), no. 2, 534 - 554.
- Isoperimetric inequalities of Euclidean type and applicatins, PhD thesis, ETH Zurich (2004).

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