Postdoctoral Fellowship: MPS-Ascend: Fluid Dynamics and Chemotaxis on Curved Manifolds

Rosa Maria(Padi)Fuster Aguera博士被授予国家科学基金会数学和物理科学提升博士后研究奖学金(NSF MPS-Ascend)，以开展一项与扩大STEM中代表性不足群体的参与相关的研究、教育和活动。该奖学金资助了题为“流形上的流体方程和趋化性”的研究项目。项目活动将在主办机构科罗拉多博尔德大学进行，由Magdalena Czubak博士指导。该项目包括对偏微分方程组和微分几何两个相关课题的研究。第一个问题是寻找一般黎曼流形上的本征粘性算子，这对于理解弯曲流形上的Navier-Stokes方程的适当形式是非常重要的。第二个是研究弯曲流形中趋化性的偏微分方程解的定性行为，并将其应用于器官中的肿瘤生长。该项目更广泛的参与活动包括“认识数学家”和“全民数学”会议。《遇见数学家》是一组对来自不同背景的数学家的采访视频，其中突出了他们的个人故事以及他们所做的数学研究，目的是为学生提供榜样。全民数学是一个全国性的数学会议，有来自不同背景的演讲者参加，主要目标是创造一个友好和欢迎的环境来讨论数学。这个奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

Dr. Rosa Maria (Padi) Fuster Aguilera is awarded a National Science Foundation Mathematical and Physical Sciences Ascending Postdoctoral Research Fellowship (NSF MPS-Ascend) to conduct a program of research, education, and activities related to broadening participation by groups underrepresented in STEM. This fellowship supports the research project entitled "Fluid Equations and Chemotaxis on Manifolds". The project activities will be conducted at the host institution, University of Colorado Boulder, under the mentorship of Dr. Magdalena Czubak. This project includes research on two related topics in partial differential equations (PDE) and differential geometry. The first one is the search for an intrinsic viscosity operator on a general Riemannian manifold which is of great importance for understanding the appropriate formulation of the Navier-Stokes equations on curved manifolds. The second one is the study of the qualitative behavior of solutions for a PDE model for chemotaxis in curved manifolds with an application to tumor growth in organs. The broadening participation activities for this project include "Meet a Mathematician" and the "Math For All" conference. Meet a Mathematician is a collection of video interviews of mathematicians from diverse backgrounds where their personal stories as well as the mathematical research that they do is highlighted with the aim of providing role models for students. Math For All is a nationwide mathematical conference featuring speakers from diverse backgrounds with the main goal of creating a friendly and welcoming environment to discuss mathematics.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.