糖心TV

Office: B1.26
Phone: +44 (0) 2476 5 28328
Email: F dot Rindler at warwick dot ac dot uk

 

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.

 

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), .
• Transport of currents and geometric Rademacher-type theorems (with P. Bonicatto, G. Del Nin), Trans. Amer. Math. Soc. 378 (2025), 4011-4075, .
• Shape optimization of light structures and the vanishing mass conjecture (with J.-F. Babadjian, F. Iurlano), Duke Math. J. 172 (2023), 43-103. .
• Space-time integral currents of bounded variation, Calc. Var. Partial Differential Equations 62 (2023), Paper No. 54. .
• Elasto-plastic evolution of crystal materials driven by dislocation flow (with T. Hudson), Math. Models Methods Appl. Sci. (M3AS) 32 (2022), 851-910. .
• Concentration versus oscillation effects in brittle damage (with J.-F. Babadjian, F. Iurlano), Comm. Pure Appl. Math. 74 (2021), 1803-1854. .
• 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. .
• Liftings, Young measures, and lower semicontinuity (with G. Shaw), Arch. Ration. Mech. Anal. 232 (2019), 1227-1328. .
• On the structure of A-free measures and applications (with G. De Philippis), Ann. of Math. 184 (2016), 1017-1039. .
• Directional Oscillations, Concentrations, and Compensated Compactness via Microlocal Compactness Forms, Arch. Ration. Mech. Anal. 215 (2014), 1-63. .
• 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. .

 

Curriculum Vitae

 

Editorial activities

I am an editor for , , , and . Please consider submitting papers to these journals!

 

Calculus of Variations book

The book Calculus of Variations is based on my lectures at the University of 糖心TV and appeared with Springer in 2018:
Second Edition coming in 2026!

See for details.