User:David Lehavi

Area of Specialization: Algebraic geometry. More specifically: Classical algebraic geometry, moduli spaces, birational geometry.

more or less finished and needs feedback:

Riemann-Roch theorem, hyperelliptic curve,

Currently working on

elliptic curves, Riemann-Hurwitz formula, Abelian surfaces, Kummer surfaces, Abelian variety, K3 surfaces, Algebraic surface

Brief academic CV:

Positions:

• 9/2006 - present : Visiting assistant Professor at the University of Michigan.
• 9/2005 - 7/2006 : Lecturer at Princeton university.
• 2002-2005: Zassenhaus assistant professor at Ohio state university.

Education:

• 1997-2002 Ph.D. (accepted December 2002), the Hebrew University.

Thesis: Bitangents and 2-level Structure for Curves of Genus 3. Adviser: Prof. Ron Livn´e.

• 1994-1997 M.Sc. (magna cum laude) in mathematics, the Hebrew University.

Thesis: A cohomological view of the Albert Hasse Brauer Noether theorem. Adviser: Prof. Ehud De-Shalit.

• 1991-1994 B.Sc. (summa cum laude) in mathematics, the Hebrew University.

Research papers:

• Formulas for the arithmetic geometric mean of curves of genus 3, joint with C. Ritzenthaler.

Accepted to Experimental Math. Preprint available online at math.AG/0403182.

• Any smooth plane quartic can be reconstructed from its bitangents.

Israel J. Math. 146 (2005), 371–379. Earlier version available online at math.AG/0111017.

Expository papers:

• Mikhalkin’s classification of M-curves in maximal position with respect to three lines.

AMS proceedings volume of Snowbird Joint Summer Research Conference Algebraic Geometry: Presentations by Young Researchers.