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In this talk, we discuss the positivity of complete intersections of nef classes, including sufficient and necessary characterizations of the hard Lefschetz property on a compact complex torus and the...
This paper is a commentary on the experimental observation observa- tions of Bensimon et al. [1] of convection of a binary uid mixture in a uid annulus. They observed a convective pattern that is ...
We investigate the properties of uniform doubly stochastic random matrices, that is non-negative matrices conditioned to have their rows and columns sum to 1. The rescaled marginal distributions are s...
In the absence of local lifting obstructions, the global obstruction lies in a Tate{Shafarevich group that can be analyzed via Tate duality. But we want more, namely to preserve local properties of ...
We prove that the theta correspondence for the dual pair (SLg2; P B£), for B an indeˉnite quaternion algebra over Q, acting on modular forms of odd square-free level, preserves rationality and p-int...
The weak and strong Lefschetz properties are two basic properties that Artinian algebrasmay have. Both Lefschetz properties may vary under small perturbations or changes of the characteristic.
We consider an asymmetric variant of disordered Gla-uber dynamics of Ising spins on a one-dimensional lattice, where each spin flips according to the relative state of the spin to its left.
We provide evidence for five long-standing, basis-exchange conjectures for matroids by proving them for the enormous class of sparse paving matroids. We also explore the role that these matroids may p...
We show that the asymptotic behavior of the partial sums of a sequence of positive numbers determine the local behavior of the Hilbert space of Dirichlet series defined using these as weights. This ex...
We have characterized an intra-regular {\Gamma}-AG^{**}-groupoids by using the properties of {\Gamma}-ideals (left, right, two-sided ), {\Gamma}-interior, {\Gamma}-quasi, {\Gamma}-bi and {\Gamma}-gene...
Random Overlap Structures (ROSt's) are random elements on the space of probability measures on the unit ball of a Hilbert space, where two measures are identified if they differ by an isometry. In spi...
In this paper we study homogeneous Gibbs measures on a Cayley tree,subjected to an in nite-temperature Glauber evolution, and consider their (non-)Gibbsian properties. We show that the intermediate Gi...
Matrices of locally analytic functions in two variables correspond to the maximal Cohen-Macaulay modules over plane curve singularities and to the local determinantal representations.
I would like to thank my advisor, Prof. Jaroslav Neˇsetˇril, for his lead, patience and for fixing sometimes unbelievable mistakes I was doing (seemingly) intentionally and perpetually. I would like...
We examine Bourbaki's function, an easily-constructed continu-ous but nowhere-di erentiable function, and explore properties including func-tional identities, the antiderivative, and the box dimension...

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