Research Statement for Jeffrey
نویسنده
چکیده
My mathematical interests lie mainly in the field of combinatorics and how combinatorics can be used to prove algebraic identities. My current research is in the area of enumerative and algebraic combinatorics with an emphasis on counting the number of patterns which occur in words and permutations. This has been a very active area of research in recent years and there is a yearly conference, Permutation Patterns, which is specifically devoted to research in this area. I have attended this conference in both 2006 and 20007. One of the things that I appreciate about this area is that there is a large variety of research problems. Some, on one hand, are very difficult, but others are ideal for undergraduate research projects or REUs. The remainder of this document is quite technical, but it highlights some of the main results and origins of the research that I have been conducting for the last three years at the University of California, San Diego. It also discusses some of my plans for future research in particular areas.
منابع مشابه
Multivariate Jeffrey Fluid Flow past a Vertical Plate through Porous Medium
An analysis is suggested to study the impact of Hall currents in Jeffrey fluid which is chemically reactive through a porous medium limited by a semi-infinite vertical permeable plate within the existence of heat generation. An evenly distributed magnetic field turns vertically on the porous surface which absorbs the Jeffrey fluid with a changed suction velocity with time. The analytical expres...
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