User:David Lehavi: Difference between revisions
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Area of Specialization: Algebraic geometry. More specifically: Classical algebraic geometry, moduli spaces, birational geometry. | 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]], | |||
[[adjunction formula]] | |||
=== Currently working on === | |||
[[elliptic curve]], | |||
[[Riemann-Hurwitz formula]], | |||
[[Abelian surfaces]], | |||
[[Kummer surfaces]], | |||
[[Abelian variety]], | |||
[[K3 surfaces]], | |||
[[Algebraic surface]], | |||
[[Riemann-Roch for surfaces]], | |||
[[genus-degree formula]], | |||
[[homotopy]], | |||
[[canonical sheaf]] | |||
==Brief CV:== | |||
'''Positions:''' | |||
* 9/2007 - present : senior algorithm's developer at Correlix Ltd. | |||
* 9/2006 - 5/2007 : 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:''' | '''Education:''' | ||
* 1997-2002 Ph.D. (accepted December 2002), the Hebrew University. | |||
Thesis: ''Bitangents and 2-level Structure for Curves of Genus 3''. | Thesis: ''Bitangents and 2-level Structure for Curves of Genus 3''. | ||
Adviser: Prof. Ron Livn´e. | 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''. | Thesis: ''A cohomological view of the Albert Hasse Brauer Noether theorem''. | ||
Adviser: Prof. Ehud De-Shalit. | Adviser: Prof. Ehud De-Shalit. | ||
* 1991-1994 B.Sc. (summa cum laude) in mathematics, the Hebrew University. | |||
'''Research papers:''' | '''Research papers:''' | ||
* ''On isogenous principally polarized abelian surface'', joint with Igor Dolgachev. | |||
To appear in an AMS contemporary math volume dedicated to the 65st birthay of Roy Smith named:''curves and Abelian varietie'' | |||
* ''Some Intersections in the Poincaré Bundle and the Universal Theta Divisor on A_'', joint with Sam Grushevsky. | |||
Int Math Res Notices 2008 (2008), article ID rnm128. | |||
* ''Formulas for the arithmetic geometric mean of curves of genus 3'', joint with C. Ritzenthaler. | |||
Experimental Math. 16 (2007) 421-440 | |||
* ''Any smooth plane quartic can be reconstructed from its bitangents''. | |||
Israel J. Math. 146 (2005), 371–379. | |||
Preprints of all the papers above are available on the arxiv. | |||
'''Expository papers:''' | '''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. | AMS proceedings volume of Snowbird Joint Summer Research Conference Algebraic Geometry: Presentations by Young Researchers. | ||
Latest revision as of 03:44, 22 November 2023
The account of this former contributor was not re-activated after the server upgrade of March 2022.
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, adjunction formula
Currently working on
elliptic curve, Riemann-Hurwitz formula, Abelian surfaces, Kummer surfaces, Abelian variety, K3 surfaces, Algebraic surface, Riemann-Roch for surfaces, genus-degree formula, homotopy, canonical sheaf
Brief CV:
Positions:
- 9/2007 - present : senior algorithm's developer at Correlix Ltd.
- 9/2006 - 5/2007 : 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:
- On isogenous principally polarized abelian surface, joint with Igor Dolgachev.
To appear in an AMS contemporary math volume dedicated to the 65st birthay of Roy Smith named:curves and Abelian varietie
- Some Intersections in the Poincaré Bundle and the Universal Theta Divisor on A_, joint with Sam Grushevsky.
Int Math Res Notices 2008 (2008), article ID rnm128.
- Formulas for the arithmetic geometric mean of curves of genus 3, joint with C. Ritzenthaler.
Experimental Math. 16 (2007) 421-440
- Any smooth plane quartic can be reconstructed from its bitangents.
Israel J. Math. 146 (2005), 371–379.
Preprints of all the papers above are available on the arxiv.
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.