If autonomous systems are to realize their potential, they must improve their abilities to operate in the real world. Sensorimotor systems are among the weakest and most critical components of such systems. Perceptual systems exist to enable their owners to cope with the dynamic environments in which they operate. The system is inundated by stimuli; the successful system selects the stimuli tha...

• 2003 introduced an algorithm that assigns unique IDs to chemical compounds. In 2003, Kasturi, Hamelberg, Liu and I showed that there is a natural graph algorithm that can assign essentially unique IDs to chemical compounds. We call these unique chemical IDs or UCKs [40]. The basic idea was to define certain classes of natural operations on labeled graphs. For example, one can assign a new (lo...

1. Wavelets. One of my early accomplishments was the construction of wavelets on hyper-surfaces, extending the two-dimensional work in Coifman, Jones, Semmes (J. of Amer. Math. Soc., 1989), in a desirable fashion. This answered a question raised by G. David (Springer LNM, 1991, p. 75) and was used to provide a new proof of the fundamental result of Coifman, McIntosh, Meyer (Annals of Math., 198...

As indicated by the nearly two thousand citations of W. Fulton’s treatise on this topic, Excess Intersection Theory plays a very important role in modern algebraic geometry. It is often used to determine the contributions to the Euler class of a vector bundle from degenerate components of the vanishing locus of a specific, typically geometrically meaningful, section. This approach is rigid and ...

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In my research I apply tools from model theory, a branch of mathematical logic, to study sets obtained from certain integral manifolds. (A good reference for Model Theory is [8].) This program has two central aspects: (1) I extend results that are known to be true on the ordered field of real numbers R := 〈R,+,×, <, 0, 1〉 to larger classes of real closed fields, and (2) I then use model theoret...

Although a substantial part of scientific research is collaborative and increasing globalization will probably lead to its increase, very few studies actually investigate the advantages, disadvantages, experiences and lessons learned from collaboration. In environmental epidemiology interdisciplinary collaboration is essential and the contrasting geographical patterns in exposure and disease ma...