Preprints
Extensions of Schoen-Simon-Yau and Schoen-Simon theorems via iteration à la De Giorgi
preprint 2023 download
with K. Marshall-Stevens: On isolated singularities and generic regularity of min-max CMC hypersurfaces
preprint 2023 download
with N. Wickramasekera: The inhomogeneous Allen--Cahn equation and the existence of prescribed-mean-curvature hypersurfaces
preprint 2020 download
with N. Wickramasekera: Stable prescribed-mean-curvature integral varifolds of codimension 1: regularity and compactness
preprint 2019 download
with N. Wickramasekera: Stable CMC integral varifolds of codimension 1: regularity and compactness
preprint 2018 download
Published and accepted papers
with M. Workman: Embeddedness of min-Max CMC hypersurfaces in manifolds with positive Ricci curvature
NoDEA Nonlinear Differential Equations Appl. 31, 27 (2024) 57pp. download
Hypersurfaces with mean curvature prescribed by an ambient function: compactness results
J. Funct. Anal. 285, 10 (2023), 110125 30pp. download
Embeddedness of liquid-vapour interfaces in stable equilibrium
Interfaces Free Bound. 25 (2023) no. 4, 525--566. download
Generic existence of multiplicity-1 minmax minimal hypersurfaces via Allen–Cahn
Calc. Var. Partial Differential Equations 61, 149 (2022), 25pp. download
Multiplicity-1 minmax minimal hypersurfaces in manifolds with positive Ricci curvature
Comm. Pure Appl. Math. 77 (2024) no. 3, 2081--2137 download
with E. Le Donne: Sets with constant normal in Carnot groups: properties and examples
Comment. Math. Helv. 96 (2021), no. 1, pp. 149-198 download
with O. Chodosh and N. Wickramasekera: Curvature estimates and sheeting theorems for weakly stable CMC hypersurfaces
Adv. Math. vol. 352, pp. 133–157 (2019) download
with G. Tian: Compactness results for triholomorphic maps
J. Eur. Math. Soc. 21 (2019), no. 5, pp. 1271–1317. download
Semi-calibrated 2-currents are pseudo holomorphic, with applications
Bull. Lond. Math. Soc. 46 (2014) pp. 881-888 download
Rate of decay for the mass ratio of pseudo holomorphic integral 2-cycles
Calc. Var. Partial Differential Equations (2015) 54, 3141 - 3160. download
with E. Le Donne: Regularity of sets with constant horizontal normal in the Engel group
Comm. Anal. Geom. 21 (2013), n.3, 469-507. download
Uniqueness of tangent cones to positive-(p,p) integral cycles
Duke Math. J. Vol. 163 (2014), No. 4, 705-732 download
Tangent cones to positive-(1,1) De Rham currents
J. Reine Angew. Math. 709 (2015) 15-50 download
Tangent cones to positive-(1,1) De Rham currents / Les cônes tangents des courants positifs (1,1) de De Rham
C. R. Math. Acad. Sci. Paris 349 (2011), n.19-20, 1025-1029. download
Almost complex structures and calibrated integral cycles in contact 5-manifolds
Adv. Calc. Var. 6 (2013), n.3, 339-374. download
with T. Rivière: The regularity of Special Legendrian integral cycles
Ann. Sc. Norm. Sup. Pisa Cl. Sci. (5) 11 (2012), n.1, 61-142. download
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