Mukamel, Ronen E.
Overview
Works:  2 works in 2 publications in 1 language and 2 library holdings 

Roles:  Thesis advisor, Author 
Publication Timeline
.
Most widely held works by
Ronen E Mukamel
Orbifold points on Teichmüller curves and Jacobians with complex multiplication by
Ronen E Mukamel(
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
For each integer D>/= 5 with D =/ 0 or 1 mod 4, the Weierstrass curve WD is an algebraic curve and a finite volume hyperbolic orbifold which admits an algebraic and isometric immersion into the moduli space of genus two Riemann surfaces. The Weierstrass curves are the main examples of Teichmüller curves in genus two. The primary goal of this thesis is to determine the number and type of orbifold points on each component of WD. Our enumeration of the orbifold points, together with [Ba] and [Mc3], completes the determination of the homeomorphism type of WD and gives a formula for the genus of its components. We use our formula to give bounds on the genus of WD and determine the Weierstrass curves of genus zero. We will also give several explicit descriptions of each surface labeled by an orbifold point on WD
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
For each integer D>/= 5 with D =/ 0 or 1 mod 4, the Weierstrass curve WD is an algebraic curve and a finite volume hyperbolic orbifold which admits an algebraic and isometric immersion into the moduli space of genus two Riemann surfaces. The Weierstrass curves are the main examples of Teichmüller curves in genus two. The primary goal of this thesis is to determine the number and type of orbifold points on each component of WD. Our enumeration of the orbifold points, together with [Ba] and [Mc3], completes the determination of the homeomorphism type of WD and gives a formula for the genus of its components. We use our formula to give bounds on the genus of WD and determine the Weierstrass curves of genus zero. We will also give several explicit descriptions of each surface labeled by an orbifold point on WD
Singular hyperbolic structures on pseudoAnosov mapping tori by
Kenji Kozai(
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
We study threemanifolds that are constructed as mapping tori of surfaces with pseudoAnosov monodromy. We use Danciger's halfpipe geometry to regenerate hyperbolic structures when the monodromy has orientable foliations and its induced action on cohomology does not have 1 as an eigenvalue. We also include some discussion on Agol's veering triangulation construction
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
We study threemanifolds that are constructed as mapping tori of surfaces with pseudoAnosov monodromy. We use Danciger's halfpipe geometry to regenerate hyperbolic structures when the monodromy has orientable foliations and its induced action on cohomology does not have 1 as an eigenvalue. We also include some discussion on Agol's veering triangulation construction
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