Professor Filip Rindler

Office: B1.26
Phone: +44 (0) 2476 5 28328
Email:

 

Research

My research sits at the intersection between Applied and Theoretical Mathematics. In particular, I am interested in oscillation and concentration phenomena and what can be rigorously proved about their "shape". I most work in the area of Mathematical Analysis (PDEs, Calculus of Variations, Geometric Measure Theory) and I am particularly interested in questions that originate in Material Science, in particular in the theories of elasto-plasticity and dislocations.

My research has been funded by the European Research Council (ERC) through an ERC Starting Grant SINGULARITY, an ERC Consolidator Grant CONCENTRATE (selected by the ERC, funded by UKRI under the ERC guarantee scheme), and other grants from EPSRC, the Royal Society, and the Lloyds Register Foundation.

Article about my research in WMI Magazine here.

 

Selected publications:

• Energetic solutions to rate-independent large-strain elasto-plastic evolutions driven by discrete dislocation flow, J. Eur. Math. Soc. 27 (2025), 2795-2864 (2025), Online versionLink opens in a new window.
• Transport of currents and geometric Rademacher-type theorems (with P. Bonicatto, G. Del Nin), Trans. Amer. Math. Soc. 378 (2025), 4011-4075, Online versionLink opens in a new window.
• Shape optimization of light structures and the vanishing mass conjecture (with J.-F. Babadjian, F. Iurlano), Duke Math. J. 172 (2023), 43-103. Online versionLink opens in a new window.
• Space-time integral currents of bounded variation, Calc. Var. Partial Differential Equations 62 (2023), Paper No. 54. Online versionLink opens in a new window.
• Elasto-plastic evolution of crystal materials driven by dislocation flow (with T. Hudson), Math. Models Methods Appl. Sci. (M3AS) 32 (2022), 851-910. Online versionLink opens in a new window.
• Concentration versus oscillation effects in brittle damage (with J.-F. Babadjian, F. Iurlano), Comm. Pure Appl. Math. 74 (2021), 1803-1854. Online versionLink opens in a new window.
• Dimensional estimates and rectifiability for measures satisfying linear PDE constraints (with A. Arroyo-Rabasa, G. De Philippis, J. Hirsch), Geom. Funct. Anal. 29 (2019), pp 639-658. Online versionLink opens in a new window.
• Liftings, Young measures, and lower semicontinuity (with G. Shaw), Arch. Ration. Mech. Anal. 232 (2019), 1227-1328. Online versionLink opens in a new window.
• On the structure of A-free measures and applications (with G. De Philippis), Ann. of Math. 184 (2016), 1017-1039. Online versionLink opens in a new window.
• Directional Oscillations, Concentrations, and Compensated Compactness via Microlocal Compactness Forms, Arch. Ration. Mech. Anal. 215 (2014), 1-63. Online versionLink opens in a new window.
• Lower Semicontinuity for Integral Functionals in the Space of Functions of Bounded Deformation Via Rigidity and Young Measures, Arch. Ration. Mech. Anal. 202 (2011) 63-113. Online versionLink opens in a new window.

 

Curriculum Vitae

 

Editorial activities

Calculus of Variations and PDEs (CVPDE)Link opens in a new window
ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV)Link opens in a new window
Mathematical Models and Methods in Applied Sciences (M3AS)Link opens in a new window
Proceedings of the Royal Society of Edinburgh Section A: Mathematics (PRSE/A)Link opens in a new window
Revista Matemática Iberoamericana (RMI)Link opens in a new window

Please consider submitting your papers to these journals!

 

Calculus of Variations book (Second Edition available now)

See www.calculusofvariations.comLink opens in a new window for details.