I am a PhD student in the department of mathematics at the Hebrew University of Jerusalem, under the supervision of Raz Kupferman.
My research lies at the interface of geometric analysis, calculus of
variations and non-linear elasticity.
I have also done some work on regularity of quasiconformal maps.
Email: asaf.shachar@mail.huji.ac.il
Publications and preprints
- Embedding surfaces inside small domains with minimal distortion, Accepted for publication in Calculus of Variations and Partial Differential Equations.
- Regularity via minors and applications to conformal maps, The Journal of Geometric Analysis, 31(5) (2021), 4359--4397.
- A geometric perspective on the Piola identity in Riemannian settings, with Raz Kupferman, Journal of Geometric Mechanics, 11(1) (2019), 59-76.
- On the role of curvature in the elastic energy of non-Euclidean thin bodies, with Cy Maor, Journal of Elasticity, 134(2) (2019), 149-173.
- Reshetnyak Rigidity for Riemannian Manifolds, with Raz Kupferman and Cy Maor, Archive for Rational Mechanics and Analysis, 231 (2019), 367-408.
- On strain measures and the geodesic distance to SOn in the general linear group, with Raz Kupferman, Journal of Geometric Mechanics, 8(4) (2016), 437-460.