The Sadosky Prize in Analysis of the AWM

The Association for Women in Mathematics established the Sadosky Prize in Analysis in 2012. The first presentation was made in 2014, and it has subsequently been made in even years to a woman early in her career who has published exceptional research in analysis. The area of analysis will be broadly interpreted to include all areas of analysis. Candidates must be women working at a US institution either within ten years of being awarded a Ph.D., or not being tenured at the time of application. The website of the Association for Women in Mathematics states:-
The Association for Women in Mathematics Sadosky Research Prize in Analysis serves to highlight to the community outstanding contributions by women in the field and to advance the careers of the prize recipients. The award is named for Cora Sadosky, a former president of Association for Women in Mathematics and made possible by generous contributions from Cora's husband Daniel J Goldstein, daughter Cora Sol Goldstein, friends Judy and Paul S Green and Concepción Ballester.
Before listing winners of the Sadosky Research Prize in Analysis we should say a little more about Cora Susana Sadosky de Goldstein (1940-2010). Born in Buenos Aires, Argentina, to Manuel Sadosky and Cora Batto de Sadosky, both of whom were mathematicians, she obtaind the equivalent of a Master's Degree from the University of Buenos Aires in 1960, and a Ph.D. from the University of Chicago in 1965 for her thesis On Class Preservation And Pointwise Convergence For Parabolic Singular Integral Operators. Her thesis advisor was Alberto Calderón. She taught at the University of Buenos Aires, Johns Hopkins University, the Central University of Venezuela, the Institute for Advanced Study in Princeton, and Howard University. She wrote over 50 papers on harmonic analysis and operator theory. Her book Interpolation of Operators and Singular Integrals: An Introduction to Harmonic Analysis was greatly praised.

We give below winners of the prize and also the citation and the reply from the winner.

Winners of the Sadosky Prize in Analysis:

2014 Svitlana Mayboroda, University of Minnosota.

Citation: The inaugural 2014 Association for Women in Mathematics Sadosky Research Prize in Analysis is awarded to Svitlana Mayboroda in recognition of her fundamental contributions to Harmonic Analysis and Partial Differential Equations. Her research has centred on boundary value problems for second and higher order elliptic equations in non-smooth media; that is, under minimal regularity assumptions on the coefficients and/or the underlying domain's boundary. In particular Mayboroda studies problems aimed at understanding how irregular geometries or internal inhomogeneities of media affect the behaviour of the physical system in question, an area where she has made a number of deep and original contributions. Her talent and imagination, praised by world leaders in the field, is also evident in her recent work with Maz'ya on regularity in all dimensions for the polyharmonic Green's function in general domains and of the Wiener test for higher order elliptic equations, which in turn relies on a new notion of capacity in this case. This is the first result of its kind for higher order equations, showing remarkable creativity and deep insight. Svitlana Mayboroda's contributions have opened up fundamental new paths in this uncharted territory and she has been a major driving force behind it. Svitlana Mayboroda is an outstanding and talented young analyst whose work is already of lasting impact. She is the recipient of a Sloan Foundation fellowship and an NSF CAREER award. Her professional trajectory is remarkable, and her future potential enormous. She richly deserves the recognition of the 2014 Association for Women in Mathematics Sadosky Research Prize. Cora Sadosky would be proud.

Response from Svitlana Mayboroda: I am greatly honoured and immensely delighted to receive the inaugural Association for Women in Mathematics Sadosky Prize in Analysis. Most of all, I am truly excited that the beautiful mathematics at the core of the cited results has received such a high recognition. I was so very lucky to have had wonderful teachers, collaborators, and colleagues. It is impossible to properly thank here all the people who have deeply marked my path. I am greatly thankful to Yuriy Gandel and Marius Mitrea for their early guidance, to Vladimir Maz'ya for his incredible mathematical generosity and passion, to Jill Pipher for her continuous support and truly life-changing inspiration, to Steve Hofmann for years of exhilarating collaboration, to Marcel Filoche for a breathtaking introduction into the world of physics, to Carlos Kenig, Guy David, Alexander Volberg, Rodrigo Banuelos, to my students and postdocs. Above all, I am indebted to my family for their constant belief in me and constant scepticism, both invariably stimulating. Finally, I would like to express my deep gratitude to the Association for Women in Mathematics and to the many people, men and women, tirelessly fighting for the equal opportunities in our profession. It is a particular honour to receive the award commemorating Cora Sadosky. I am very privileged to have had a chance to meet her and to be one of the many young people with whom she so generously shared her mathematics, her vision of the profession, and her support, to be touched and inspired by her remarkable personality.

2016 Daniela De Silva, Columbia University.

Citation: The 2016 Association for Women in Mathematics Sadosky Research Prize in Analysis is awarded to Daniela De Silva at Barnard College, New York, in recognition of her fundamental contributions to the regularity theory of nonlinear elliptic Partial Differential Equations (PDE) and non-local integro-differential equations. De Silva's research centres on the analysis of free boundary problems; PDE problems solved for both an unknown function and an (embedded) unknown surface of discontinuity, like a solid to liquid phase transition or the edge of a drop sitting on a surface. She has done seminal work and obtained outstanding results on one-phase problems, two-phase problems, as well as singular minimizing free boundary problems. Her originality, depth, as well as enormous technical skills are evident, for example, in her works with Roquejoffre on thin one phase problems (one of two 2013 best papers award at Ann. IHP); with Savin on a regularity theory for nonlocal free boundary problem; with Ferrari and Salsa on a complete regularity theory for two phase problems in general media; and with Jerison on the construction of a singular minimizing free boundary. In particular, De Silva's solo paper Free boundary regularity for a problem with right hand has been highly praised by world leaders as one whose impact is tremendous and has inspired other distinguished authors to collaborate with her. Daniela De Silva is an outstanding and talented young analyst whose remarkable work has either answered important outstanding questions or opened new research directions. She richly deserves the recognition of the 2016 Association for Women in Mathematics Sadosky Research Prize in Analysis.

Response from Daniela De Silva: It is a true honour and a great joy to receive the second AWM Sadosky Prize in Analysis. Though I did not know Cora Sadosky personally, I was lucky enough to hear about her from some of the many mathematicians she mentored, guided, and inspired. Her mathematical talent and her conviction against any discrimination in our profession were truly remarkable. I am thrilled that the cited results have been so highly praised. I wish to express my deep gratitude to those who collaborated with me on those problems, and to all of my collaborators and colleagues who have helped me shape my mathematical interests. In particular, I am immensely grateful to David Jerison for his early guidance through countless stimulating conversations, to Luis Caffarelli for his inspirational work source of beautiful and challenging questions, to Sandro Salsa for his tremendous support and passion for the subject, and last but not least, to my husband Ovidiu Savin for sharing his life and his mathematical talent with me. Finally, I would like to thank the Association for Women in Mathematics. In honour of Cora's memory I will continue to work passionately on the beautiful mathematics that has been so highly recognized by this prestigious award.