ADVANCE Fellows Award

DMS奖摘要奖#：0137987 PI：格温德伦·海因斯研究所：内布拉斯加州大学，林肯分校标题：高级研究员奖格温德伦·海恩斯将与康斯坦丁·米切科夫合作，建立一个数学模型，研究在经历了空间和时间异质性的种群中扩散速度的演变。他们将一起分析具有扩散机制的模型，而不是简单的扩散，特别是由积分运算符描述的扩散。他们将为时空同质性和异质性的不同组合寻找稳定解的存在。将研究该系统的全球动力学。为了照顾年幼的女儿，格温德伦·海因斯已经离开了全职学术数学工作者好几年了。她计划在佐治亚理工学院的动力系统和非线性研究中心工作一个学期，研究进化生物学中的一个问题，这个问题与自然选择如何与扩散速度有关，从而重建她的研究生涯。回到内布拉斯加大学林肯分校后，她将恢复她在数学方面的全职终身教职。她将继续致力于这一研究问题，通过夏季访问佐治亚理工学院加强合作。在内布拉斯加州，她将促进数学系和生物系之间的互动，作为大学定量和综合生物学倡议的一部分。海因斯博士仍然积极参与数学领域的女孩和妇女的外联活动。

DMS Award AbstractAward #: 0137987 PI: Gwendolen HinesInstitution: University of Nebraska, Lincoln Title: ADVANCE Fellows AwardGwendolen Hines will collaborate with Konstantin Mischaikow on a mathematical model for the evolution of dispersal rates in a population which experiences both spatial and temporal heterogeneity. Together, they will analyze models with dispersal mechanisms other than simple diffusion, specifically dispersal described by integral operators. They will search for the existence of stable solutions for different combinations of spatial and temporal homogeneity and heterogeneity. The global dynamics of the system will be studied. Gwendolen Hines has been out of the full-time academic mathematics workforce for several years to care for her young daughter. She plans to reestablish her research career by spending a semester at Georgia Tech's Center for Dynamical Systems and Nonlinear Studies to work on a problem in evolutionary biology having to do with how natural selection is related to dispersal rates. Upon returning to the University of Nebraska at Lincoln, she will resume her full-time tenure-track position in mathematics. She will continue to work on this research problem, intensifying the collaboration with summer visits to Georgia Tech. At Nebraska, she will promote the interaction between Mathematics and Biology departments, as part of the university's initiative in Quantitative and Integrative Biology. Dr. Hines remains active in outreach activities for girls and women in mathematics.