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

Rosa Maria（Padi）Fuster Aguilera博士被授予国家科学基金会数学和物理科学上升博士后研究奖学金（NSF MPS-Ascend），以开展研究，教育和活动计划，以扩大STEM中代表性不足的群体的参与。该研究金支持题为“流体方程和流形趋化性”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。本计画包括偏微分方程与微分几何两个相关主题的研究。第一个是寻找一般黎曼流形上的固有粘性算子，这对于理解弯曲流形上的Navier-Stokes方程的适当表述是非常重要的。第二部分是研究了曲流形上趋化性偏微分方程模型解的定性行为，并将其应用于器官中的肿瘤生长。该项目的扩大参与活动包括“与数学家见面”和“全民数学”会议。Meet a Mathematician是来自不同背景的数学家的视频访谈的集合，他们的个人故事以及他们所做的数学研究被强调，旨在为学生提供榜样。Math For All是一个全国性的数学会议，演讲者来自不同的背景，其主要目标是创造一个友好和欢迎的环境来讨论数学。该奖项反映了NSF的法定使命，并通过使用基金会的知识价值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.