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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:-
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.
2018 Lillian Pierce, Duke University
Citation:
The 2018 AWM Sadosky Research Prize in Analysis is awarded to Lillian Pierce in recognition of her outstanding contributions to harmonic analysis and analytic number theory. Pierce is one of the most talented, original and visionary analysts of her generation. Her research spans and connects a broad spectrum of problems ranging from character sums in number theory to singular integral operators in Euclidean spaces. She has made far-reaching contributions to the study of discrete analogs of harmonic-analytic integral operators, taking inspiration in classical Fourier analysis, but drawing also on methods from analytic number theory such as the circle method and diophantine approximation. In her recent work with Po Lam Yung, hailed as a remarkable breakthrough and a tour de force, she proved a polynomial Carleson theorem for manifolds, connecting two major directions of research in harmonic analysis and opening up entirely new research programs. Pierce s work on estimating short character sums, on her own and then in collaboration with Roger Heath-Brown, has produced the first significant advance in several decades on this central and difficult problem in analytic number theory. Pierce is highly regarded for her broad vision, deep knowledge of several areas of mathematics, and outstanding technical skill. Her leadership and influence in the field are widely acknowledged.
Lillian Pierce received her Ph.D. degree in 2009 from Princeton University, and has held appointments at the Institute for Advanced Study, Oxford University, and the Hausdorff Center for Mathematics before assuming her current position at Duke University. She is the recipient of a Marie Curie Fellowship, NSF Mathematical Sciences Postdoctoral Research Fellowship, and an NSF CAREER award. She has a visible and active presence in the mathematical community. Her award of the AWM Sadosky Prize is a worthy testament to her excellence.
Response:
I am greatly honored to receive the AWM Sadosky Research Prize in Analysis. The frontier between harmonic analysis and number theory seems to become more vivid and intriguing with each year, and I am delighted that results in both fields, and their intersection, are cited for this award, including collaborations with Roger Heath-Brown and Po-Lam Yung. Although I did not get to meet Cora Sadosky, I indulge in feeling a kinship with her, as two descendants in the Calderón-Zygmund family. In reading reminiscences of Cora s work and life, it seems that one of her lessons for us is how effectively a mentor s personal impact can set a young career in motion. That was true for me, starting with the courses in analysis Elias Stein gave at Princeton when I was an undergraduate. The crystalline clarity of his lectures, writings, and discussions led me to a career in mathematics, and harmonic analysis in particular; then the mentorship of Roger Heath-Brown and Peter Sarnak allowed me to make a leap into analytic number theory. I feel tremendous gratitude for these generous mentors who continue to inspire me with new problems, and also for the creativity and technical expertise of my collaborators, from whom I have learned so much.
2020 Mihaela Ignatova, Temple University
Citation:
The 2020 AWM Sadosky Research Prize in Analysis is awarded to Mihaela Ignatova, Assistant Professor of Mathematics, Temple University, at the Joint Mathematics Meetings in Denver, CO in January 2020. This prize is in recognition of Ignatova s contributions to the analysis of partial differential equations, in particular in fluid mechanics.
Ignatova received her PhD in 2011 from the University of Southern California and has held appointments at the University of California-Riverside, Stanford University, and Princeton University before assuming her current position at Temple University. She works on challenging analytical questions motivated by fundamental questions in geophysics, fluid dynamics, biology and material science. The breadth of her work is impressive, spanning from unique continuation properties of elliptic and parabolic equations, to fluid-structure interaction problems and to nonlocal models of electroconvection. For example, her work with Kukavica and Ryzhik extends considerably the validity of Harnack inequality to second-order operators with rough drifts.
Her remarkable technical abilities are evident in several of her works, in particular in her study, joint with Peter Constantin, of the critical Surface-Quasi-Geostrophic equation in bounded domains. Ignatova developed a new approach to deal with boundaries, which provides also an alternative approach for the case without boundaries. Ignatova s work on fluid-structure interaction problems, joint work with Kukavica, Lasiecka, and Tuffaha, establishes well-posedness of a system coupling the fluid equations with a wave equation for an elastic structure with a moving free interface, and it is highly nontrivial. This work highlights again Ignatova s outstanding analytical skills, her unusual creativity, and her focus on physically important problems, for which the underlying mathematical analysis is technically extremely challenging.
Her publication record already amassed seventeen highly regarded papers, which appeared in first rate analysis journals, including Archive for Rational Mechanics and Analysis, Communications in Partial Differential Equations, Journal of Differential Equations, and the SIAM Journal of Mathematical Analysis.
Ignatova is among the most talented young analysts in fluid mechanics and partial differential equations and is poised to become a leader in the field. She deserves the recognition that the AWM Sadosky Prize provides.
Response from Mihaela Ignatova:
I am truly honored to receive the AWM Sadosky Research Prize in Analysis. The area of my research, analysis of PDEs, relies much on the methods of harmonic analysis, the field of Cora Sadosky, and it is a privilege to be recognized among the many excellent people who work in analysis. It s particularly gratifying to be awarded this prize by AWM, an organization whose support for women in mathematics is of great importance to society.
I would like to take this opportunity to thank some of the people who helped me to become a research mathematician. My masters thesis advisor Emil Horozov impressed me with his knowledge and brilliance, and encouraged me to pursue a career in math. I am greatly indebted to Igor Kukavica, who was my doctoral advisor and continues to be my collaborator, for his honest, uncompromising and deep approach to mathematical research, and I thank him for his kind and thoughtful mentorship over the years.
I appreciate very much the opportunities I have had to work with powerful and creative collaborators in the area of analysis of PDEs originating from fluid mechanics and physics. I also wish to thank the leading mathematicians working in my area with whom I interact and from whom I have learned a lot, and who continue to inspire me.
2022 Yaiza Canzani, University of North Carolina at Chapel Hill
Citation:
The 2022 AWM Sadosky Research Prize in Analysis is awarded to Yaiza Canzani in recognition of outstanding contributions in spectral geometry and microlocal analysis.
Canzani has established herself as a leading expert in spectral geometry, producing breakthrough results on nodal sets, random waves, Weyl Laws, Lp-norms, and other problems on eigenfunctions and eigenvalues on Riemannian manifolds. Over the past three years, in collaboration with Galkowski, Canzani developed a framework to extract information on the structure of Laplace eigenfunctions from their concentration and propagation behavior in phase space. The outcome of this endeavor is a series of works that are the first to provide quantitative improvements over the standard bounds, under purely dynamical assumptions, for pointwise bounds, Lp-norms, integral averages, and the error term in the pointwise Weyl Law. Canzani s work is ground-breaking and further development of her framework will continue to greatly advance the field. Canzani, in collaboration with Hanin, carried out a detailed study of scaling limits of the spectral function of the Laplacian, successfully answering Zelditch s scaling asymptotics conjecture and applying it to prove local universality properties of nodal sets. Her work has opened up the possibility to study random waves on general manifolds; previous techniques had restricted their study to specific classes such as the sphere or the torus. In a beautiful paper with Sarnak, Canzani studied the topology and nesting configurations of the zero sets of monochromatic random waves. Such results seemed quite out of reach even to the leading experts in the area, but Canzani s technical brilliancy and new ideas made it possible to obtain them.
Canzani s publication record is stellar, with already 24 articles of impressive breadth in top journals. Similarly impressive is the number of worldwide invited talks she presented at distinguished events. After receiving her Ph.D. from McGill University in 2013, she held postdoctoral positions at Harvard University and the Institute for Advanced Studies. In 2016 she joined UNC Chapel Hill as a tenure-track Assistant Professor of Mathematics and was later awarded the prestigious Sloan Research Fellowship and an NSF Career Award.
Canzani is a remarkable young mathematician whose ground-breaking and original work has greatly impacted the mathematical community and she continues working on a host of exciting and ambitious new projects that she is well equipped to attack. Canzani undoubtedly deserves the recognition that the AWM-Sadosky Prize provides.
Response from Yaiza Canzani:
I am honored and delighted to receive the AWM-Sadosky Research Prize in Analysis. It is a particular privilege to receive an award commemorating Cora Sadosky. And I am truly gratified to be awarded a prize by the AWM whose effort to promote equal opportunity plays a key role in the future of our profession.
I am deeply grateful to all of my mentors throughout the years for their support, advice, and guidance. Federico Rodriguez-Hertz, my undergraduate mentor, was instrumental in advancing my career by helping me both find a Ph.D. position and prepare to succeed in it. Dmitry Jakobson and John Toth, my teachers and mentors during my Ph.D., have become good friends and collaborators. Working with them is a joy. In addition, during my postdoc, I had the good fortune to work with Peter Sarnak who continues to provide invaluable guidance and share his talent and passion for mathematics.
Finally, I would like to thank my colleagues and collaborators who support and promote my work. I am especially grateful to Jeff Galkowski and Jason Metcalfe.
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.
2018 Lillian Pierce, Duke University
Citation:
The 2018 AWM Sadosky Research Prize in Analysis is awarded to Lillian Pierce in recognition of her outstanding contributions to harmonic analysis and analytic number theory. Pierce is one of the most talented, original and visionary analysts of her generation. Her research spans and connects a broad spectrum of problems ranging from character sums in number theory to singular integral operators in Euclidean spaces. She has made far-reaching contributions to the study of discrete analogs of harmonic-analytic integral operators, taking inspiration in classical Fourier analysis, but drawing also on methods from analytic number theory such as the circle method and diophantine approximation. In her recent work with Po Lam Yung, hailed as a remarkable breakthrough and a tour de force, she proved a polynomial Carleson theorem for manifolds, connecting two major directions of research in harmonic analysis and opening up entirely new research programs. Pierce s work on estimating short character sums, on her own and then in collaboration with Roger Heath-Brown, has produced the first significant advance in several decades on this central and difficult problem in analytic number theory. Pierce is highly regarded for her broad vision, deep knowledge of several areas of mathematics, and outstanding technical skill. Her leadership and influence in the field are widely acknowledged.
Lillian Pierce received her Ph.D. degree in 2009 from Princeton University, and has held appointments at the Institute for Advanced Study, Oxford University, and the Hausdorff Center for Mathematics before assuming her current position at Duke University. She is the recipient of a Marie Curie Fellowship, NSF Mathematical Sciences Postdoctoral Research Fellowship, and an NSF CAREER award. She has a visible and active presence in the mathematical community. Her award of the AWM Sadosky Prize is a worthy testament to her excellence.
Response:
I am greatly honored to receive the AWM Sadosky Research Prize in Analysis. The frontier between harmonic analysis and number theory seems to become more vivid and intriguing with each year, and I am delighted that results in both fields, and their intersection, are cited for this award, including collaborations with Roger Heath-Brown and Po-Lam Yung. Although I did not get to meet Cora Sadosky, I indulge in feeling a kinship with her, as two descendants in the Calderón-Zygmund family. In reading reminiscences of Cora s work and life, it seems that one of her lessons for us is how effectively a mentor s personal impact can set a young career in motion. That was true for me, starting with the courses in analysis Elias Stein gave at Princeton when I was an undergraduate. The crystalline clarity of his lectures, writings, and discussions led me to a career in mathematics, and harmonic analysis in particular; then the mentorship of Roger Heath-Brown and Peter Sarnak allowed me to make a leap into analytic number theory. I feel tremendous gratitude for these generous mentors who continue to inspire me with new problems, and also for the creativity and technical expertise of my collaborators, from whom I have learned so much.
2020 Mihaela Ignatova, Temple University
Citation:
The 2020 AWM Sadosky Research Prize in Analysis is awarded to Mihaela Ignatova, Assistant Professor of Mathematics, Temple University, at the Joint Mathematics Meetings in Denver, CO in January 2020. This prize is in recognition of Ignatova s contributions to the analysis of partial differential equations, in particular in fluid mechanics.
Ignatova received her PhD in 2011 from the University of Southern California and has held appointments at the University of California-Riverside, Stanford University, and Princeton University before assuming her current position at Temple University. She works on challenging analytical questions motivated by fundamental questions in geophysics, fluid dynamics, biology and material science. The breadth of her work is impressive, spanning from unique continuation properties of elliptic and parabolic equations, to fluid-structure interaction problems and to nonlocal models of electroconvection. For example, her work with Kukavica and Ryzhik extends considerably the validity of Harnack inequality to second-order operators with rough drifts.
Her remarkable technical abilities are evident in several of her works, in particular in her study, joint with Peter Constantin, of the critical Surface-Quasi-Geostrophic equation in bounded domains. Ignatova developed a new approach to deal with boundaries, which provides also an alternative approach for the case without boundaries. Ignatova s work on fluid-structure interaction problems, joint work with Kukavica, Lasiecka, and Tuffaha, establishes well-posedness of a system coupling the fluid equations with a wave equation for an elastic structure with a moving free interface, and it is highly nontrivial. This work highlights again Ignatova s outstanding analytical skills, her unusual creativity, and her focus on physically important problems, for which the underlying mathematical analysis is technically extremely challenging.
Her publication record already amassed seventeen highly regarded papers, which appeared in first rate analysis journals, including Archive for Rational Mechanics and Analysis, Communications in Partial Differential Equations, Journal of Differential Equations, and the SIAM Journal of Mathematical Analysis.
Ignatova is among the most talented young analysts in fluid mechanics and partial differential equations and is poised to become a leader in the field. She deserves the recognition that the AWM Sadosky Prize provides.
Response from Mihaela Ignatova:
I am truly honored to receive the AWM Sadosky Research Prize in Analysis. The area of my research, analysis of PDEs, relies much on the methods of harmonic analysis, the field of Cora Sadosky, and it is a privilege to be recognized among the many excellent people who work in analysis. It s particularly gratifying to be awarded this prize by AWM, an organization whose support for women in mathematics is of great importance to society.
I would like to take this opportunity to thank some of the people who helped me to become a research mathematician. My masters thesis advisor Emil Horozov impressed me with his knowledge and brilliance, and encouraged me to pursue a career in math. I am greatly indebted to Igor Kukavica, who was my doctoral advisor and continues to be my collaborator, for his honest, uncompromising and deep approach to mathematical research, and I thank him for his kind and thoughtful mentorship over the years.
I appreciate very much the opportunities I have had to work with powerful and creative collaborators in the area of analysis of PDEs originating from fluid mechanics and physics. I also wish to thank the leading mathematicians working in my area with whom I interact and from whom I have learned a lot, and who continue to inspire me.
2022 Yaiza Canzani, University of North Carolina at Chapel Hill
Citation:
The 2022 AWM Sadosky Research Prize in Analysis is awarded to Yaiza Canzani in recognition of outstanding contributions in spectral geometry and microlocal analysis.
Canzani has established herself as a leading expert in spectral geometry, producing breakthrough results on nodal sets, random waves, Weyl Laws, Lp-norms, and other problems on eigenfunctions and eigenvalues on Riemannian manifolds. Over the past three years, in collaboration with Galkowski, Canzani developed a framework to extract information on the structure of Laplace eigenfunctions from their concentration and propagation behavior in phase space. The outcome of this endeavor is a series of works that are the first to provide quantitative improvements over the standard bounds, under purely dynamical assumptions, for pointwise bounds, Lp-norms, integral averages, and the error term in the pointwise Weyl Law. Canzani s work is ground-breaking and further development of her framework will continue to greatly advance the field. Canzani, in collaboration with Hanin, carried out a detailed study of scaling limits of the spectral function of the Laplacian, successfully answering Zelditch s scaling asymptotics conjecture and applying it to prove local universality properties of nodal sets. Her work has opened up the possibility to study random waves on general manifolds; previous techniques had restricted their study to specific classes such as the sphere or the torus. In a beautiful paper with Sarnak, Canzani studied the topology and nesting configurations of the zero sets of monochromatic random waves. Such results seemed quite out of reach even to the leading experts in the area, but Canzani s technical brilliancy and new ideas made it possible to obtain them.
Canzani s publication record is stellar, with already 24 articles of impressive breadth in top journals. Similarly impressive is the number of worldwide invited talks she presented at distinguished events. After receiving her Ph.D. from McGill University in 2013, she held postdoctoral positions at Harvard University and the Institute for Advanced Studies. In 2016 she joined UNC Chapel Hill as a tenure-track Assistant Professor of Mathematics and was later awarded the prestigious Sloan Research Fellowship and an NSF Career Award.
Canzani is a remarkable young mathematician whose ground-breaking and original work has greatly impacted the mathematical community and she continues working on a host of exciting and ambitious new projects that she is well equipped to attack. Canzani undoubtedly deserves the recognition that the AWM-Sadosky Prize provides.
Response from Yaiza Canzani:
I am honored and delighted to receive the AWM-Sadosky Research Prize in Analysis. It is a particular privilege to receive an award commemorating Cora Sadosky. And I am truly gratified to be awarded a prize by the AWM whose effort to promote equal opportunity plays a key role in the future of our profession.
I am deeply grateful to all of my mentors throughout the years for their support, advice, and guidance. Federico Rodriguez-Hertz, my undergraduate mentor, was instrumental in advancing my career by helping me both find a Ph.D. position and prepare to succeed in it. Dmitry Jakobson and John Toth, my teachers and mentors during my Ph.D., have become good friends and collaborators. Working with them is a joy. In addition, during my postdoc, I had the good fortune to work with Peter Sarnak who continues to provide invaluable guidance and share his talent and passion for mathematics.
Finally, I would like to thank my colleagues and collaborators who support and promote my work. I am especially grateful to Jeff Galkowski and Jason Metcalfe.