Status:
Personal website:
+44 1865 615105
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent Books:
Preface
(1 January 2021)
Lectures on Optimal Transport
ISBN-13: 9783030721619
(1 January 2021)
Recent Publications:
The equality case in Cheeger's and Buser's inequalities on
$\mathsf{RCD}$ spaces
Journal of Functional Analysis
Lecture 15: Semicontinuity and Convexity of Energies in the Wasserstein Space
UNITEXT - La Matematica per il 3 piu 2
volume 130
page 161-181
(1 January 2021)
Lecture 9: Analysis on Metric Spaces and the Dynamic Formulation of Optimal Transport
UNITEXT - La Matematica per il 3 piu 2
volume 130
page 87-94
(1 January 2021)
Lecture 10: Wasserstein Geodesics, Nonbranching and Curvature
UNITEXT - La Matematica per il 3 piu 2
volume 130
page 95-107
(1 January 2021)
Lecture 5: Existence of Optimal Maps and Applications
UNITEXT - La Matematica per il 3 piu 2
volume 130
page 43-52
(1 January 2021)
Research interests:
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.
Prizes, awards, and scholarships:
Benedetto Sciarra Prize of the Scuola Normale Superiore of Pisa (2019).
Major / recent publications:
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, preprint ArXiv.