Research interests: 

Main: Convexity, especially theory of valuations on convex sets; applications to integral geometry.

Secondary: quaternionic structures in Analysis and Geometry, especially quaternionic Monge-Ampere equations; Riemannian and Alexandrov geometry.

Research description 

Teaching 2023/24:

Fall: 

Advanced Physics for Mathematicians:  Tuesdays 17-19 (Kaplun 324),  Thursdays 17-18 (Shenkar 105)

Prerequisits: Physics for Mathematicians.

Lecture notes  (see chapters 3-5)

Past Teaching

Undergraduate courses: Linear Algebra 1,2; Linear Algebra 2 for 'du-khugi'; Linear Algebra for Engeneers; Algebra B1 (group theory); Algebra B3; Analysis on manifolds.

Graduate courses: Commutative Algebra and Algebraic Geometry 1; Topics in Algebraic Geometry (introduction to etale cohomology); Topics in Convexity: theory of valuations, Physics for mathematicians, Advanced physics for mathematicians, Introduction to Complex Algebraic Geometry.

Lecture notes.                                                                                            

1) Introduction to the theory of valuations. Kent State University, August 2015.

2) Introduction to HKT-geometry. (Very informal talk at Tel Aviv some years ago.)

3) New structures on valuations and applications. Barcelona, 2010.

4) Physics for mathematicians (2 semesters)