@article{4173,
abstract = {Background: Zebrafish (D. rerio) has become a powerful and widely used model system for the analysis of vertebrate embryogenesis and organ development. While genetic methods are readily available in zebrafish, protocols for two dimensional (2D) gel electrophoresis and proteomics have yet to be developed. Results: As a prerequisite to carry out proteomic experiments with early zebrafish embryos, we developed a method to efficiently remove the yolk from large batches of embryos. This method enabled high resolution 2D gel electrophoresis and improved Western blotting considerably. Here, we provide detailed protocols for proteomics in zebrafish from sample preparation to mass spectrometry (MS), including a comparison of databases for MS identification of zebrafish proteins. Conclusion: The provided protocols for proteomic analysis of early embryos enable research to be taken in novel directions in embryogenesis.},
author = {Link, Vinzenz and Shevchenko, Andrej and Heisenberg, Carl-Philipp J},
journal = {BMC Developmental Biology},
pages = {1 -- 9},
publisher = {BioMed Central},
title = {{Proteomics of early zebrafish embryos}},
doi = {10.1186/1471-213X-6-1},
volume = {6},
year = {2006},
}
@unpublished{573,
abstract = {Mitchison and Jozsa recently suggested that the "chained-Zeno" counterfactual computation protocol recently proposed by Hosten et al. is counterfactual for only one output of the computer. This claim was based on the existing abstract algebraic definition of counterfactual computation, and indeed according to this definition, their argument is correct. However, a more general definition (physically adequate) for counterfactual computation is implicitly assumed by Hosten et. al. Here we explain in detail why the protocol is counterfactual and how the "history tracking" method of the existing description inadequately represents the physics underlying the protocol. Consequently, we propose a modified definition of counterfactual computation. Finally, we comment on one of the most interesting aspects of the error-correcting protocol. },
author = {Hosten, Onur and Rakher, Matthew and Barreiro, Julio and Peters, Nicholas and Kwiat, Paul},
pages = {12},
publisher = {ArXiv},
title = {{Counterfactual computation revisited}},
year = {2006},
}
@unpublished{574,
abstract = {Vaidman, in a recent article adopts the method of 'quantum weak measurements in pre- and postselected ensembles' to ascertain whether or not the chained-Zeno counterfactual computation scheme proposed by Hosten et al. is counterfactual; which has been the topic of a debate on the definition of counterfactuality. We disagree with his conclusion, which brings up some interesting aspects of quantum weak measurements and some concerns about the way they are interpreted. },
author = {Hosten, Onur and Kwiat, Paul},
pages = {2},
publisher = {ArXiv},
title = {{Weak measurements and counterfactual computation}},
year = {2006},
}
@article{6151,
author = {Salecker, Iris and Häusser, Michael and de Bono, Mario},
issn = {1469-221X},
journal = {EMBO reports},
number = {6},
pages = {585--589},
publisher = {Wiley},
title = {{On the axonal road to circuit function and behaviour: Workshop on the assembly and function of neuronal circuits}},
doi = {10.1038/sj.embor.7400713},
volume = {7},
year = {2006},
}
@inbook{1444,
abstract = {The paper surveys the mirror symmetry conjectures of Hausel-Thaddeus and Hausel-Rodriguez-Villegas concerning the equality of certain Hodge numbers of SL(n, ℂ) vs. PGL(n, ℂ) flat connections and character varieties for curves, respectively. Several new results and conjectures and their relations to works of Hitchin, Gothen, Garsia-Haiman and Earl-Kirwan are explained. These use the representation theory of finite groups of Lie-type via the arithmetic of character varieties and lead to an unexpected conjecture for a Hard Lefschetz theorem for their cohomology.},
author = {Tamas Hausel},
booktitle = {Geometric Methods in Algebra and Number Theory},
pages = {193 -- 217},
publisher = {Springer},
title = {{Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a curve}},
doi = {10.1007/0-8176-4417-2_9},
volume = {235},
year = {2005},
}
@article{1447,
abstract = {Building on a recent paper [8], here we argue that the combinatorics of matroids are intimately related to the geometry and topology of toric hyperkähler varieties. We show that just like toric varieties occupy a central role in Stanley’s proof for the necessity of McMullen’s conjecture (or g-inequalities) about the classification of face vectors of simplicial polytopes, the topology of toric hyperkähler varieties leads to new restrictions on face vectors of matroid complexes. Namely in this paper we will give two proofs that the injectivity part of the Hard Lefschetz theorem survives for toric hyperkähler varieties. We explain how this implies the g-inequalities for rationally representable matroids. We show how the geometrical intuition in the first proof, coupled with results of Chari [3], leads to a proof of the g-inequalities for general matroid complexes, which is a recent result of Swartz [20]. The geometrical idea in the second proof will show that a pure O-sequence should satisfy the g-inequalities, thus showing that our result is in fact a consequence of a long-standing conjecture of Stanley.},
author = {Tamas Hausel},
journal = {Open Mathematics},
number = {1},
pages = {26 -- 38},
publisher = {Central European Science Journals},
title = {{Quaternionic geometry of matroids}},
doi = {10.2478/BF02475653},
volume = {3},
year = {2005},
}
@article{1463,
abstract = {We study an integration theory in circle equivariant cohomology in order to prove a theorem relating the cohomology ring of a hyperkähler quotient to the cohomology ring of the quotient by a maximal abelian subgroup, analogous to a theorem of Martin for symplectic quotients. We discuss applications of this theorem to quiver varieties, and compute as an example the ordinary and equivariant cohomology rings of a hyperpolygon space.},
author = {Tamas Hausel and Proudfoot, Nicholas J},
journal = {Topology},
number = {1},
pages = {231 -- 248},
publisher = {Elsevier},
title = {{Abelianization for hyperkähler quotients}},
doi = {10.1016/j.top.2004.04.002},
volume = {44},
year = {2005},
}
@article{212,
abstract = {For any n ≧ 2, let F ∈ ℤ [ x 1, … , xn ] be a form of degree d≧ 2, which produces a geometrically irreducible hypersurface in ℙn–1. This paper is concerned with the number N(F;B) of rational points on F = 0 which have height at most B. For any ε > 0 we establish the estimate N(F; B) = O(B n− 2+ ε ), whenever either n ≦ 5 or the hypersurface is not a union of lines. Here the implied constant depends at most upon d, n and ε.},
author = {Timothy Browning and Heath-Brown, Roger},
journal = {Journal fur die Reine und Angewandte Mathematik},
number = {584},
pages = {83 -- 115},
publisher = {Walter de Gruyter and Co },
title = {{Counting rational points on hypersurfaces}},
doi = {https://doi.org/10.1515/crll.2005.2005.584.83},
year = {2005},
}
@article{214,
abstract = {Given an absolutely irreducible ternary form F, the purpose of this paper is to produce better upper bounds for the number of integer solutions to the equation F=0, that are restricted to lie in very lopsided boxes. As an application of the main result, a new paucity estimate is obtained for equal sums of two like powers.},
author = {Timothy Browning and Heath-Brown, Roger},
journal = {Mathematische Zeitschrift},
number = {2},
pages = {233 -- 247},
publisher = {Unknown},
title = {{Plane curves in boxes and equal sums of two powers}},
doi = {10.1007/s00209-004-0719-z},
volume = {251},
year = {2005},
}
@book{2335,
abstract = {This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.},
author = {Lieb, Élliott H and Robert Seiringer and Solovej, Jan P and Yngvason, Jakob},
booktitle = {The mathematics of the Bose gas and its condensation},
publisher = {Birkhäuser},
title = {{The mathematics of the Bose gas and its condensation}},
volume = {34},
year = {2005},
}