I am a mathematician, working at the Einstein Institute of Mathematics in the Hebrew University of Jerusalem.

My research is mostly at the interface of non-linear elasticity, materials science, differential and Riemannian geometry, and the calculus of variations.

More recently, I became interested in infinite dimensional Riemannian geometry, in particular in the study of the geometry of shape spaces and diffeomorphism groups, and their applications.

In Hebrew, my name is written “שיא מאור”, and my first name is pronounced like the third letter in the English alphabet.

Einstein Institute of Mathematics

Hebrew University of Jerusalem

Photo courtesy of MFO

Publications and preprints:

*Can we run to infinity? The diameter of the diffeomorphism group with respect to right-invariant Sobolev metrics*, with Martin Bauer, preprint.*Limits of distributed dislocations in geometric and constitutive paradigms*, with Marcelo Epstein and Raz Kupferman, preprint.*Geodesic distance for right-invariant metrics on diffeomorphism groups: critical Sobolev exponents*, with Robert Jerrard,*Annals of Global Analysis and Geometry*,**56**(2) (2019), 351–360.*Vanishing geodesic distance for right-invariant Sobolev metrics on diffeomorphism groups*, with Robert Jerrard,*Annals of Global Analysis and Geometry*,**55**(4) (2019), 631–656.*On the role of curvature in the elastic energy of non-Euclidean thin bodies*, with Asaf Shachar,*Journal of Elasticity*,**134**(2) (2019), 149–173.*Variational Convergence of Discrete Geometrically-Incompatible Elastic Models*, with Raz Kupferman,*Calculus of Variations and PDEs*,**57**:39 (2018).*Reshetnyak rigidity for Riemannian manifolds*(previously titled "Asymptotoc rigidity of Riemannian manifolds"), with Raz Kupferman and Asaf Shachar,*Archive of Rational Mechanics and Analysis*,**231**(2019), 367–408.*Limits of elastic models of converging Riemannian manifolds*, with Raz Kupferman,*Calculus of Variations and PDEs*,**55**:40 (2016).*Non-metricity in the continuum limit of randomly-distributed point defects*, with Raz Kupferman and Ron Rosenthal,*Israel Journal of mathematics***223**(1) (2018), 75–139.*Riemannian surfaces with torsion as homogenization limits of locally-Euclidean surfaces with dislocation-type singularities*, with Raz Kupferman,*Proc. of the Royal Society of Edinburgh*,**146A**(2016), 741–768.*The emergence of torsion in the continuum limit of distributed edge-dislocations*, with Raz Kupferman,*Journal of Geometric Mechanics*,**7**(3) (2015), 361-387. Erratum*A Riemannian approach to the membrane limit in non-Euclidean elasticity*, with Raz Kupferman,*Communications in Contemporary Mathematics***16**(2014), 1350052.*Cooperation under Incomplete Information on the Discount Factors*, with Eilon Solan,*International Journal of Game Theory***44**(2) (2015), 321-346.

*A simple example of the weak discontinuity of f↦∫det∇f*, a short note.

Instructor (University of Toronto):

- Fall 2016-Winter 2017, Fall 2017-Winter 2018, Fall 2018-Winter 2019: MAT235 (multivariable calculus)

Teaching assistant (Hebrew University):

- Fall 2011, Fall 2012: Mathematical Methods I (calculus for physics students)
- Spring 2012: Advanced Calculus II
- Spring 2013: Ordinary Differential Equations
- Fall 2013, Fall 2014: Fundamental Concepts in Analysis I (graduate course)
- Spring 2014: Complex Analysis and Applications (for physicists)
- Spring 2015: Mathematics for science students II
- Fall 2015: Calculus and Linear Algebra in a special program for high-school math teachers

I have been playing the piano and composing music for many years, and had the honor of learning from some great musicians including
Josef Bardanashvili,
Amnon Wolman and
Ilya Dimov (composition) and
Sara Tal and
Michal Tal (piano).

Below are some compositions and recordings (more to come soon):

- Piano Sonata, third part (performed by Ruth Zori). Second prize, Yardena Alotin composition competition (2014), Bar Ilan university. First performed by Shira Shaked as part of the 2014 Piano Project of Stony Brook University.
- Some recordings of my contrabass/piano free-improvisation duo with contrabassist/composer Orr Sinay.

Picture by Liran Ofir