AWM Sadosky Research Prize in Analysis

2024 Winner: Robin Neumayer

The Association for Women in Mathematics is pleased to announce that the 2024 AWM Sadosky Research Prize in Analysis is awarded to Robin Neumayer for outstanding contributions to Calculus of Variations, Partial Differential Equations, and Geometric Analysis.

Citation

The 2024 AWM-Sadosky Research Prize in Analysis is awarded to Robin Neumayer for outstanding contributions to Calculus of Variations, Partial Differential Equations, and Geometric Analysis. Neumayer earned her PhD from The University of Texas at Austin in 2017 and has held postdoctoral positions at Northwestern University and the Institute for Advanced Study. In 2021, she joined Carnegie Mellon University as a tenure track assistant professor.

Neumayer’s research focuses on problems in calculus of variations and partial differential equations, with a strong emphasis on their connection to geometric analysis. Her recent work on the regularity and convergence of Riemannian manifolds demonstrates her profound geometric insights and exceptional technical skills. Notably, her series of papers on Epsilon-Regularity for scalar curvature showcases her ability to tackle challenging problems in the field.

Neumayer’s research interests span a wide range of topics, underscoring her versatility and breadth of knowledge. She has achieved remarkable results in the quantitative stability of Sobolev inequalities and for minimizers of the Yamabe energy, the regularity theory of free boundary problems, and the existence and characterization of minimizers of sharp trace Sobolev inequalities.

As an outstanding analyst, Neumayer has made significant contributions to various areas of analysis and has paved the way for new research directions at the intersection of calculus of variations, PDEs, and geometric analysis. Her broad skill set, extensive knowledge, and leadership in her field are highly regarded by her peers.

Without a doubt, Robin Neumayer deserves the esteemed recognition of the 2024 AWM Sadosky Research Prize for her outstanding achievements and invaluable contributions to mathematical analysis.

Response from Robin Neumayer

It is a true honor to receive the AWM Sadosky Prize in Analysis. I am grateful to the selection committee for recognizing my work, to the family and friends of Cora Sadosky for their support in establishing this prize, and to the AWM for all it does for the community of women in math. It is a privilege to receive an award named for Cora Sadosky and to have my name alongside the previous prize winners whose work I admire deeply.

I have been fortunate to have exceptional mentors at every step of my career. I am particularly indebted to Maria Girardi, whose undergraduate real analysis class made me want to become a mathematician and whose support helped me get there; Alessio Figalli and Francesco Maggi, my PhD advisors whose guidance and example have shaped my

mathematical development; and Aaron Naber, who introduced me to geometric analysis and taught me so much. I am lucky to work alongside brilliant collaborators, from whom I am constantly learning and who make all of this a joy.