User:David Lehavi: Difference between revisions

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'''Brief academic CV:'''
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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.


'''Positions:'''
=== 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]]


• 9/2006 - present : Visiting assistant Professor at the University of Michigan.
==Brief CV:==


• 9/2005 - 7/2006 : Lecturer at Princeton university.
'''Positions:'''
 
* 9/2007 - present : senior algorithm's developer at Correlix Ltd.
• 2002-2005: Zassenhaus assistant professor at Ohio state university.
* 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.
• 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.
• 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.
• 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.


• ''Formulas for the arithmetic geometric mean of curves of genus 3'', joint with C. Ritzenthaler.
Preprints of all the papers above are available on the arxiv.
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:'''
'''Expository papers:'''
 
*Mikhalkin’s classification of M-curves in maximal position with respect to three lines.
• 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 02:44, 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.

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