Master Thesis Algebra TextA master's thesis is a half year study program where you get research training, and experience in writing and presenting scientific material. We are however flexible and will most certainly be able to tailor a master's thesis that fits your interest. In order to get an idea about the actual project you might want to look at the list of previous students that have achieved an examensarbete within our group. In mathematics, we also welcome those of you who are interested in doing different careers. The research group in algebra and geometry is a quite big and socially active group. We are all active in research and have sincere interest in teaching and mentoring. Our research interests include moduli spaces, hilbert schemes, graded modules, toric geometry, and homotopy theory. We have broad international cooperation and contacts, mainly with universities and mathematicians in europe, canada and usa. Our personal homepages as well as the research articles will give you a more detailed description of our research profile. Together with the university of stockholm we run a weekly seminar, and usually we also run a local seminar. Furthermore, our group of graduate students is usually big enough to run reading seminars and thematic workshops. We are also involved in the activity at the famous mittag leffler institute, located in djursholm. The academic year 2006/07, and then also in spring of 2011, the programs at the mittag leffler institute was directly related to our research activity. All together these seminars and the people in the group will give you lots of exposure to new and exciting mathematics within the huge and active field that is covered by algebra and geometry. finiteness of simplicial function spaces 1977, donald anderson chair beaulieu, raymond anthony, extensions of noetherian rings: bonds, morita contexts, and exact embeddability 1992, lance w. trace for modules with applications to algebras 1967, helmut rohrl chair behr, eric erazm jerzy, aspects of affine algebras 1985, lance w. Small chair bell, jason pierre, affine rings of low gk dimension 2002, lance w. Wadsworth chair pdf postscript cortzen, barbara, homological dimensions of ring extensions 1980, lance w. examples of hypersurfaces with rational singularities 1993, adrian r. Wadsworth chair cusick, larry william, steenrod operations in k theory 1981, donald anderson chair dean, carolyn anne, annihilators and embeddability of noetherian rings 1986, lance w. Small chair deyo, roderic carleton, universal trace modules 1979, helmut rohrl chair djamboulian, ara m. a study of finite dimensional nilpotent algebras 1986, helmut rohrl chair elkins, bryce l. a generalized homology theory 1969, helmut rohrl chair farrand, scott michael, the multiplication algebra of a non associative algebra 1981, helmut rohrl chair finston, david r. the algebra of polynomial functions on a non associative algebra 1983, helmut rohrl chair garibaldi, ryan lee, trialitarian algebraic groups 1998, adrian r. Wadsworth chair han, ilseop, tractability of algebraic function fields in one variable over global fields 19, adrian r. Wadsworth chair hwang, yoon sung, the corestriction of valued division algebras over henselian fields 1992, adrian r. Wadsworth chair jensen, anders, quotient rings and embeddings of noetherian rings 1991, lance w. Small chair kerr, jeanne wald, some examples of goldie rings 1979, lance w. Small chair morandi, patrick james, valuation rings in division rings and central simple algebras 1988, adrian r. the hecke algebra of type b at roots of unity, markov traces and subfactors 19, hans g. Rings with low krull dimension and the structure of incidence algebras of graphs 1980, lance w. Small chair sethuraman, bharath, construction of valued division algebras with applications to indecomposability and elementary abelian crossed products 1991, adrian r. Wadsworth chair shick, jonathan edwards, quadratic forms over function fields of elliptic and hyperelliptic curves 1991, adrian r. Small chair tao, david, a variety associated to an algebra with involution 1992, adrian r. Wadsworth chair thickstun, thomas lusk, on three dimensional manifolds which are suspension spheres 1974, donald anderson chair tuba, imre, braid representations and tensor categories 20, hans g. Wenzl chair latex pdf postscript williams, ronald james, algebraic structures up to homotopy 1975, donald anderson chair zavodnik, raymond j. a generalized dirichlet problem 1970, helmut rohrl chair to help you understand what's expected of you, as well as to provide an example of a well written latex document, we have created a sample thesis pdf . The source is also available for download, so that you can see how the various latex commands and environments were used to obtain the final result. We're assuming that you'll be working on one of the department's machines, which have all of the necessary support files installed in a shared location. If you're planning to work on your own machine, you will also need your own copies of the latex class files and some additional support files. To compile the sample thesis, first download a tar or zip file from the sample report page to your home directory on one of the department's machines. Computer Intrusion Forensics Research PaperNext, unpack the archive using tar xzvf samplethesis.tar.gz or unzip samplethesis.zip now cd into the hmc sample report directory that should have been created. A viewing command such as xdvi master will allow you to see your typeset sample thesis. You could also make this command line or a subset into an alias so you could type it quickly. Check the man page for your shell tcsh unless you've changed it if you changed your shell, you probably know which one you're using for details on how to create aliases. These are ideas that various faculty members have suggested for thesis topics over the years. the list is by no means exhaustive. if you a potential advisor in mind, that person may well have other ideas. or you may even have your own idea for a project. we encourage this route as well, but please be aware that this will put some additional responsibility on you to identify sources. 1. inversive geometry the geometry of the plane in which figures are equivalent when one is the inverse of another with respect to a fixed circle has a long history. it is an interesting non euclidean geometry in its own right, a link with classical projective geometry and the mechanism for proof of many otherwise difficult euclidean theorems including feuerbach's theorem on the 9 point circle. Reference: hardy and wright, an introduction to the theory of numbers peter schumer, introduction to number theory for further information, see peter schumer, david dorman, or priscilla bremser. 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