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
photo of Karel

Karel Devriendt

Status
Postgraduate Student
Contact form
+44 1865 273580
Research groups
  • Data Science
  • Networks
  • Oxford Centre for Industrial and Applied Mathematics

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

Teaching

B6.3 Integer Programming

B8.4 Information Theory 

B8.5 Graph Theory

C5.4 Networks 

Research interests

My research interests lie in applying tools from linear algebra, matrix theory and dynamical systems to study graphs and complex systems. In particular, my work involves the Laplacian matrix and its eigenvalues, graph effective resistances and graph embeddings. In my latest project I am looking at discrete curvature on graphs, based on the effective resistance.

If you're interested in networks, be sure to check out the weekly Networks Seminar! Past talks are now also on Youtube.

 

Further details

Profile at the Alan Turing Institute

Major / recent publications

Gromov centrality: a multi-scale measure of network centrality using triangle inequality excess, 2022 [submitted](pdf)
S. Babul, K. Devriendt, R. Lambiotte

Discrete curvature on graphs from the effective resistance, 2022 (link)(pdf)
K. Devriendt, R. Lambiotte

Effective resistance is more than distance: Laplacians, Simplices and the Schur complement, 2022 (link)(pdf)
K. Devriendt

Clustering for epidemics on networks: a geometric approach, 2021 (link)(pdf)
B. Prasse, K. Devriendt, P. Van Mieghem

Nonlinear consensus on networks: equilibria, effective resistance and trees of motifs, 2021 (link)(pdf)
M. Homs-Dones, R. Lambiotte, K. Devriendt

Variance and covariance of distributions on graphs, 2021 (link)(pdf)
K. Devriendt, S. Martin-Gutierrez, R. Lambiotte 

Non-linear network dynamics with consensus-dissensus bifurcation, 2021 (link, pdf)
K. Devriendt, R. Lambiotte 

Constructing Laplacian matrices with Soules vectors: inverse eigenvalue problem and applications, 2019 [preprint](pdf)
K. Devriendt, R. Lambiotte, P. Van Mieghem

Tighter spectral bounds for the cut size, based on Laplacian eigenvectors, 2019 (link, pdf)
K. Devriendt, P. Van Mieghem

The simplex geometry of graphs, 2019 (link, pdf)
K. Devriendt, P. Van Mieghem

Nodal vulnerability to targeted attacks in power grids, 2018 (link, pdf)
H. Cetinay, K. Devriendt, P. Van Mieghem

Unified mean-field framework for SIS epidemics on networks, based on graph partitioning and the isoperimetric inequality, 2017 (link, pdf)
K. Devriendt, P. Van Mieghem

Pseudoinverse of the Laplacian and best spreader node in a network, 2017 (link, pdf)
P. Van Mieghem, K. Devriendt, H. Cetinay

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