REU Site at Kent State University: Applications and Ramifications of Linear Algebra

八名本科生将在2009年夏天在肯特州立大学的校园里度过八周的时间，研究与我们教师研究相关的研究问题。2010年夏季和2011年夏季，参加人数将增加到10人。我们课程的总主题是线性代数的应用和分支。只需要有限的背景就能理解用矩阵语言表述的一些有趣的研究问题。这将允许学生在进行实际研究的同时，正确地工作，扩展他们对该学科的知识。线性代数是我们在广泛不同领域的许多教员工作中的共同主线。虽然我们将向学生推荐的项目都与线性代数有关，但他们的动机来自科学计算、环论、李代数、代数几何、数论和算子论等领域。该计划的第一周将致力于向学生介绍项目、导师和彼此。我们的导师将讲课并组织讨论，解释和宣传项目和相关背景。我们还将提供GAP、Maple和MatLab等数学软件的培训，该项目将提供一种密集的研究型研究生院式的体验，并引导学生认识和欣赏不同数学领域之间的潜在联系。我们的期望是，我们的许多REU学生将决定攻读数学或相关领域的研究生课程。有关该计划的更多信息，请联系Jenya Soprunova博士。

Eight undergraduate students will spend eight weeks in Summer 2009 on the campus of Kent State University working on research problems related to our faculty's research. In Summer 2010 and 2011 the number of participants will be increased to ten. The general theme of our program is the applications and ramifications of linear algebra. Only limited background is needed for understanding some interesting research problems formulated in the language of matrices. This will allow the students to get right to work extending their knowledge of the subject while doing actual research. Linear algebra is a common thread in the work of many of our faculty members in widely varying fields. Although the projects that we will suggest to the students are all related to linear algebra, their motivations come from the fields of scientific computing, ring theory, Lie algebra, algebraic geometry, number theory, and operator theory. The first week of the program will be devoted to introducing students to the projects, mentors, and each other. Our mentors will give lectures and organize discussions that will explain and advertise the projects and the related background. We will also provide training in the mathematical software such as GAP, Maple, and MATLAB that will be used in the program.The program will provide an intense research graduate-school-like experience and lead students to awareness and appreciation for potential connections between different fields of mathematics. Our expectation is that many of our REU students will decide to pursue graduate studies in mathematics or related fields. For further information regarding the program please contact Dr. Jenya Soprunova.