Albert Henry Schroeder 1914–1993

Mark Schroeder

1.

Counterexamples to Cantor - Schroeder - Bernstein

The Cantor-Schroeder-Bernstein theorem [Can97][Sch98][Ber05] states that any two sets that have injections into each other have the same cardinality, i.e. there is a bijection between them. Another way to phrase this is if two sets A,B have monomorphisms from A to B and B to A, then they are isomorphic in the setting of sets. One naturally wonders if this may be extended to other commonly studi...

On a Conjecture of Schroeder and Strake

In [Schroeder and Strake 1989, Theorem 1], Schroeder and Strake proved the following rigidity theorem. Let (M, g) be a compact Riemannian manifold with convex boundary and nonnegative Ricci curvature. Assume that the sectional curvature is identically zero in some neighborhood U of ∂M and that one of the following conditions holds: • ∂M is simply connected • dim ∂M is even and ∂M is strictly co...

Albert Fry

Albert Conlisk

Number of Papers published in peer-reviewed journals: Number of Papers published in non peer-reviewed journals: Transport of multivalent electrolyte mixtures in microand nanochannels Report Title The major goal of this research is to understand charged biomolecules in a biofluid flowing through a microor nanochannel interact with a charged surface in the presence of an applied electric field pa...