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Now showing items 11-20 of 43

#### Lecture notes in mathematics: an elementary approach to bounded symmetric domains

(Rice University, 1969)

#### The Teichmüller Theory of Harmonic Maps

(Journal of Differential Geometry, 1989)

#### Lecture notes in mathematics: rudiments of Riemann surfaces

(Rice University, 1971)

#### Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at t=−1

(Springer, 2015)

We prove that the hyperelliptic Torelli group is generated by Dehn twists about separating curves that are preserved by the hyperelliptic involution. This verifies a conjecture of Hain. The hyperelliptic Torelli group can ...

#### Generating the Johnson filtration

(Mathematical Sciences Publishers, 2015)

For k≥1, let J1g(k) be the k th term in the Johnson filtration of the mapping class group of a genus g surface with one boundary component. We prove that for all k≥1, there exists some Gk≥0 such that J1g(k) is generated ...

#### Dichotomy for arithmetic progressions in subsets of reals

(American Mathematical Society, 2016)

Let H stand for the set of homeomorphisms φ:[0, 1] → [0, 1]. We prove the following dichotomy for Borel subsets A ⊂ [0, 1]: • either there exists a homeomorphism φ ∈ Hsuch that the image φ(A) contains no 3-term arithmetic ...

#### Open Problems and Conjectures Related to the Theory of Mathematical Quasicrystals

(Springer, 2016)

This list of problems arose as a collaborative effort among the participants of the Arbeitsgemeinschaft on Mathematical Quasicrystals, which was held at the Mathematisches Forschungsinstitut Oberwolfach in October 2015. ...

#### Level structures on Abelian varieties, Kodaira dimensions, and Lang's conjecture

(Elsevier, 2018)

Assuming Lang's conjecture, we prove that for a prime p, number field K, and positive integer g, there is an integer r such that no principally polarized abelian variety A/K has full level-pr structure. To this end, we use ...

#### On the unirationality of del Pezzo surfaces of degree two

(London Mathematical Society, 2014)

Among geometrically rational surfaces, del Pezzo surfaces of degree 2 over a field k containing at least one point are arguably the simplest that are not known to be unirational over k. Looking for k-rational curves on ...