Alexander Ayzner

Alexander Ogilvy

Alexander M

As a former student of Professor Ostrowski—one of his last— I am delighted to recall here the life and work of one of the great mathematicians of the 20th century. Needless to say that, in view of Ostrowski’s immense and vastly diverse mathematical legacy, this can be done only in a most summary fashion. Further literature on Ostrowski can be found in some of the references at the end of this a...

Alexander Sturn

Cluster Analysis for Large Scale Gene Expression Studies High throughput gene expression analysis is becoming more and more important in many areas of biomedical research. cDNA microarray technology is one very promising approach for high throughput analysis and provides the opportunity to study gene expression patterns on a genomic scale. Thousands or even tens of thousands of genes can be spo...

Alexander Borst

Alexander Borst studied Biology at the University of Wuerzburg. His PhD work in Martin Heisenberg’s lab demonstrated that the mushroom bodies of Drosophila are indispensable for olfactory learning. He did a postdoc with Karl Goetz at the Max-PlanckInstitute for biological Cybernetics in Tübingen, where he started to work on fly motion vision, a field which he never left since. In 1993, he becam...

Intersection Alexander polynomials

By considering a (not necessarily locally-flat) PL knot as the singular locus of a PL stratified pseudomanifold, we can use intersection homology theory to define intersection Alexander polynomials, a generalization of the classical Alexander polynomial invariants for smooth or PL locally-flat knots. We show that the intersection Alexander polynomials satisfy certain duality and normalization c...