Skip to main content
University of Oxford logo Home

Search form

  • Log in
  • Members
  • About Us
    • Contact Us
    • Travel & Maps
    • Our Building
    • Supporting Mathematics
    • Alumni
    • History
    • Art and Oxford Mathematics
    • News
    • Vacancies
    • Good Practice
  • Study Here
    • Undergraduate Study
    • Postgraduate Study
    • Current Students
  • Research
    • Research Groups
    • Case studies
    • Faculty Books
  • Outreach
    • Posters
    • Oxford Mathematics Alphabet
    • Oxford Online Maths Club
    • It All Adds Up
    • Problem Solving Matters
    • PROMYS Europe
    • Oxfordshire Maths Masterclasses
    • Outreach Information
  • People
    • Key Contacts
    • University People Search
    • People list
    • A Global Department
    • Research Fellowship Programmes
    • Professional Services Teams
  • Events
    • Conference Facilities
    • Public Lectures & Events
    • Departmental Seminars & Events
    • Special Lectures
    • Conferences
    • Summer Schools
    • Past Events
    • Alumni newsletters
    • Info for event organisers and attendees

Primary tabs

  • View(active tab)
  • Contact
Image.

Dr Daniele Semola

Status
Postdoctoral Research Associate
Contact form
CV
+44 1865 615105
Research groups
  • Geometry
  • Oxford Centre for Nonlinear PDE

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent books
Preface Ambrosio, L Brué, E Semola, D (01 Jan 2021)
Lectures on Optimal Transport Ambrosio, L Brué, E Semola, D (01 Jan 2021)
Teaching

Regularity Theory of Spaces with lower Ricci curvature bounds. 2022.

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.

Recent publications
Rectifiability of the reduced boundary for sets of finite perimeter over RCD(K,N) spaces
Bruè, E Pasqualetto, E Semola, D Journal of the European Mathematical Society (15 Feb 2022)
Boundary regularity and stability for spaces with Ricci bounded below
Bruè, E Naber, A Semola, D Inventiones Mathematicae volume 228 777-891 (11 Feb 2022)
Improved regularity estimates for Lagrangian flows on RCD(K, N) spaces
Bruè, E Deng, Q Semola, D Nonlinear Analysis: Theory Methods and Applications volume 214 (08 Oct 2021)
Rectifiability of RCD(K,N) spaces via δ-splitting maps
Brue, E Pasqualetto, E Semola, D Annales Fennici Mathematici volume 46 issue 1 465-482 (21 Jun 2021)
The equality case in Cheeger's and Buser's inequalities on
$\mathsf{RCD}$ spaces
Ponti, N Mondino, A Semola, D Journal of Functional Analysis
Prizes, awards, and scholarships

Benedetto Sciarra Prize of the Scuola Normale Superiore of Pisa (2019).

Gioacchino Iapichino Prize of the Accademia Nazionale dei Lincei (2022).

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, 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).

 

Oxford Mathematics Twitter
Oxford Mathematics Facebook
Oxford Mathematics Instangram
Oxford Mathematics Youtube

© Mathematical Institute
Website Accessibility Statement
Website Privacy Policy & Cookies Statement

Good practice scheme
Athena SWAN silver award
Stonewall workplace equality
sfy39587stp18