
Dr Daniele Semola
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Regularity Theory of Spaces with lower Ricci curvature bounds. 2022.
My main research topic are non smooth spaces with lower curvature bounds, at the interface between Analysis and Geometry.
Mainly I am interested on the study of geometric and functional inequalities on these spaces and on their fine structure.
$\mathsf{RCD}$ spaces
Benedetto Sciarra Prize of the Scuola Normale Superiore of Pisa (2019).
Gioacchino Iapichino Prize of the Accademia Nazionale dei Lincei (2022).
E. Bruè, D. Semola, Constancy of the Dimension for RCD(K,N) Spaces via Regularity of Lagrangian Flows, Comm. Pure Appl. Math., 73: 1141-1204, doi:10.1002/cpa.21849.
L. Ambrosio, E. Bruè, D. Semola, Rigidity of the 1-Bakry-Émery inequality and sets of finite perimeter in RCD spaces, Geom. Funct. Anal. 29 (2019), no. 4, 949–1001.
E. Bruè, A. Naber, D. Semola, Boundary regularity and stability for spaces with Ricci bounded below, Invent. Math. 228 (2022), no. 2, 777–891.
E. Bruè, E. Pasqualetto, D. Semola, Rectifiability of the reduced boundary for sets of finite perimeter over RCD(K,N) spaces, Journal of the European Mathematical Society (2022).