Abstract:
We develop recursive formulas for the horizontal and vertical monodromies of a quasi-ordinary surface. These are monodromies associated to the Milnor fiber of a slice transverse to a component of the singular locus. In the course of working out these recursions, we have discovered what appears to be a new way to express the monodromy associated to the Milnor fibration of a singular plane curve.

Abstract:
Using the Semple bundle construction, we derive an intersection-theoretic formula for the number of simultaneous contacts of specified orders between members of a generic family of degree $d$ plane curves and finitely many fixed curves. The contacts counted by the formula occur at nonsingular points of both the members of the family and the fixed curves.

Abstract:
We derive recursive equations for the characteristic numbers of rational nodal plane curves with at most one cusp, subject to point conditions, tangent conditions and flag conditions, developing techniques akin to quantum cohomology on a moduli space of stable lifts.

Abstract:
We construct an associative ring which is a deformation of the quantum cohomology ring of the projective plane. Just as the quantum cohomology encodes the incidence characteristic numbers of rational plane curves, the contact cohomology encodes the tangency characteristic numbers.

Abstract:
We study a class of graphs with finitely many edges in order to understand the nature of the formal logarithm of the generating series for Severi degrees in elementary combinatorial terms. These graphs are related to floor diagrams associated to plane tropical curves originally developed by Brugalle and Mikhalkin, and used by Block, Fomin, and Mikhalkin to calculate Severi degrees of the projective plane and node polynomials of plane curves.

Abstract:
In a 1962 paper, Zariski introduced the decomposition theory that now bears his name. Although it arose in the context of algebraic geometry and deals with the configuration of curves on an algebraic surface, we have recently observed that the essential concept is purely within the realm of linear algebra. In this paper, we formulate Zariski decomposition as a theorem in linear algebra and present a linear algebraic proof. We also sketch the geometric context in which Zariski first introduced his decomposition.

Abstract:
For complex projective varieties, all natural transformations from constructible functions to homology (modulo torsion) are linear combinations of the MacPherson-Schwartz-Chern classes. (The authors are willing to mail hard copies of the paper.)

Abstract:
We use stable maps, and their stable lifts to the Semple bundle variety of second-order curvilinear data, to calculate certain characteristic numbers for rational plane curves. These characteristic numbers involve first-order (tangency) and second-order (inflectional) conditions. Although they may be virtual, they may be used as inputs in an enumeratively significant formula for the number of rational curves having a triple contact with a specified plane curve and passing through 3d-3 general points.

Abstract:
A MMIC cascode VCO is designed, fabricated, and characterized for an X-band Low Noise Block(LNB) system using InGaP/GaAs HBT technology. A phase noise of -116.4 dBc/ Hz at an offset frequency of 1 MHz and an output power of 1.3 dBm is obtained at 11.526 GHz using a 3 V bias and a current consumption of 11 mA. The characteristics of this VCO are comparatively better than those with the different VCO configurations fabricated with other technologies. Also, simulated oscillation frequency and second harmonic suppression agree with the measured results. And, phase noise is improved due to the use of the small value of series resistor of inductor in frequency determining network plus the InGaP ledge in the HBT. The chip size is 830 x 781μm 2.

Abstract:
These malaria targeting antibodies are band 3 antibodies and they recognize a special configuration of a molecule called band 3 that is present on erythrocytes. The special band 3 configuration is present on the surface of senescent erythrocytes, malaria infected erythrocytes, the erythrocytes of certain hemoglobinnopathies such as sickle cell disease and on the erythrocytes of some metabolic disorders such as G6PD. Note that these hemoglobinopathies and metabolic disorders all aid in the survival of falciparum malaria to such an extent that their incidence is increased in falciparum endemic areas [1-3]. Though there are many adhesive molecules involved in the pathology of falciparum malaria and sickle cell anemia, the focus here is on the band 3 molecules.