Marc Homs Dones
Research: I am a fourth-year PhD student in networks and dynamics, under the supervision of Prof. Robert MacKay. Currently I am colaborating with the Warwick Bussines School to develop decomposition methods for network flows to measure their circularity, and provide more efficient compressions of them. My interestes are wide in the field of dynamical systems and networks theory, but I especially enjoy working in their intersection.
Publications:
- Claude Baesens, Marc Homs-Dones, Robert S. MacKay. "Example of simplest bifurcation diagram for a monotone family of vector fields on a torus." arXiv:2207.04031.
- Homs-Dones, M., Devriendt, K., Lambiotte, L. "Nonlinear consensus on networks: equilibria, effective resistance and trees of motifs." SIAM J. Appl. Dyn. Syst., 20, (2021), 1544–1570. doi: 10.1137/20M1376844Link opens in a new window.
- Homs-Dones, Marc. "A generalization of the Babbage functional equation." Discrete & Continuous Dynamical Systems - A, 41, (2021), 899-919. doi: 10.3934/dcds.2020303.
Conferences:
- October 2023. Conference on Complex Systems, SENAI CIMATEC.
Contributed talk: Circular Directional Flow Decomposition. - October 2023. Complexity in Economics and Finance, satellite of CCS.
Contributed talk: Circular Directional Flow Decomposition. - September 2022. New Trends on bifurcations in ordinary differential equations, Centre de Recerca Matemàtica. Contributed talk: Balanced Forwarding Compression.
- July 2022. Equadiff 15, Masaryk University.
Contributed talk: Simplest bifurcation diagram of vector fields on a torus.
- July 2021. British Early Career Mathematicians' Colloquium, University of Birmingham (online).
Contributed talk: Iterative periodic functions and their generalisation. - June 2021. Dynamics and motifs (DynaMo), satellite of Networks 2021.
Contributed talk: Nonlinear consensus on networks: equilibria, effective resistance and trees of motifs. - June 2021. Young Researchers in Mathematics (YRM), University of Bristol (online).
Contributed talk: Nonlinear consensus dynamics on networks.
Schools:
- June 2023. The Oxford Summer School in Economic Networks, University of Oxford.
- April 2023. Complex Networks: Theory, Methods, and Applications, Lake Como School.
Contributed talk: Simplifying payment networks by removing cycles.
Teaching: I have been a TA for MA4H0 Applied Dynamical Systems, MA254 Theory of ODEs several years and MA259 Multivariable Calculus, MA3H7 Control Theory. I have also provided supervisions for 1st-year undergraduate students in Mathematics.
Education: I did my master's at the University of Oxford, and my undergraduate studies at the Autonomous University of Barcelona.
