Svitlana Mayboroda

Svitlana Mayboroda headshot

Svitlana Mayboroda

Director and Principal Investigator (WAVE), Department of Mathematics (UMN)

Contact

Vincent Hall
Room 510
206 Church Street Se
Minneapolis, MN 55455
Education
  • PhD degree in Mathematics, University of Missouri at Columbia, USA
  • Full Higher Education in the specialty Applied Mathematics (equivalent to MS), Kharkiv National University
  • Full Higher Education in the specialty Finance (equivalent to MBA), KISP, Ukraine, September 2001.
Professional Background
  • 2016 —Northrop Professor, University of Minnesota, USA
  • 2015 — Full Professor, University of Minnesota, USA
  • 2011–2015 — Associate Professor, University of Minnesota, USA
  • 2008–2011 — Assistant Professor (promoted to Associate Professor from August 2011), Purdue University, USA
  • 2007 — Visiting Assistant Professor, Brown University, USA
  • 2006–2008 — Zassenhaus Visiting Assistant Professor, The Ohio State University, USA
  • 2005 — Visiting Assistant Professor, Australian National University, Australia
Scientific & Professional Societies
Association for Women in Mathematics
American Mathematical Society
Society for Industrial and Applied Mathematics
Biography

Svitlana Mayboroda is the Northrop Professor of Mathematics at the University of Minnesota. Her expertise lies in harmonic analysis, geometric measure theory, and partial differential equations, as well as an extended range of applications of these fields ranging from condensed matter physics to materials science to engineering. Her primary achievements include the solution of the Chang-Krantz-Stein conjecture, the boundary regularity theory and the first analogue of the Wiener criterion for higher order PDEs, a complete description of the structure of the harmonic measure, and the foundation of the theory of the localization landscape, together with Marcel Filoche.

Mayboroda’s fundamental contributions to harmonic analysis and PDE have been widely recognized, including by an Alfred P. Sloan Research Fellowship in 2010, a National Science Foundation CAREER award in 2011, and a Fellowship of the Fondation Jacques Hadamard in 2015. In 2014 she received the inaugural award of the AWM-Sadosky Research Prize in Analysis, and, at the young age of 35, in 2015 she was named a Fellow of the American Mathematical Society. Professor Mayboroda currently holds a Simons Fellowship in the Mathematical Sciences and a von Neumann Fellowship at the Institute for Advanced Study. She is also the sole PI of an $800,000 INSPIRE award, being the only mathematician to receive an award under INSPIRE, a program of the NSF to support bold interdisciplinary projects that are larger than a single program. This summer Professor Mayboroda will give an invited talk at the International Congress of Mathematicians.

Read more on Dr. Mayboroda's University of Minnesota homepage.

Research Interests
  • Partial differential equations: second and higher order elliptic differential equations and systems in non-smooth media, boundary value problems, regularity, potential theory, spectral theory, wave propagation and localization of the eigenmodes in rough domains, free boundary problems, harmonic/elliptic measure
  • Analysis: harmonic analysis, singular integral operators, maximal functions, function spaces, wavelet and atomic decompositions, interpolation, functional calculus of differential operators, operator theory.
  • Geometric measure theory: geometry of rough domains, non-linear capacity, rectifiability, Analysis and PDEs on uniformly rectifiable sets, harmonic measure, regularity of free boundaries.
  • Physics: influence of rough geometry and/or material on properties of a physical system, localization of waves in acoustics, plate vibration, Anderson localization, quantum physics, systems of cold atoms.
  • Engineering: analysis and design of GaN light emitting devices, the impact of disorder in nitride alloy materials on localization of carriers in quantum wells, radiative efficiency, Auger recombination, quantum droop, on performance of LEDs and lasers.
Honors and Awards
  • 2019 — Kirk Distinguished Fellowship at the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK
  • 2016 — Northrop Professor, University of Minnesota
  • 2016 — Chercheur Invité (3 months) Ecole Polytechnique
  • 2015 — Fellow of the American Mathematical Society
  • 2015 — Foundation Jacques Hadamard Fellowship
  • 2014 — AWM-Sadosky Prize in Analysis
  • 2014 — Integrated NSF Support Promoting Interdisciplinary Research and Education (INSPIRE) Award
  • 2013 — Chercheur Invité (2 months), Ecole Polytechnique
  • 2011 — NSF Faculty Early Career Development (CAREER) Award
  • 2012 — Chercheur Invité (3 months) CNRS
  • 1997 — Honors Fellowship, Kharkiv National University, Ukraine
Selected Publications

2019

2018

2017

2016

  • Rectifiability of harmonic measure(with Jonas Azzam, Steve Hofmann, José María Martell, Mihalis Mourgoglou, Xavier Tolsa, and Alexander Volberg), Geom. Funct. Anal. 26 (2016), no. 3, 703- 728. DOI: 10.1007/s00039-016-0371-x  

2015

2014

2013 and Earlier

  • Pointwise estimates for the polyharmonic Green function in general domains (with Vladimir Maz'ya), Cialdea, Alberto (ed.) et al., Analysis, partial differential equations and applications. The Vladimir Maz'ya anniversary volume. Selected papers of the international workshop, Rome, Italy, June 30--July 3, 2008. Basel: Birkhäuser. Operator Theory: Advances and Applications 193, 143-158 (2009).
  • The solution of the Chang-Krantz-Stein conjecture(with Marius Mitrea), to appear in Proceedings of the Workshop in Harmonic Analysis , Tokyo, Japan. 
  • On one approach to the solution of problems of numerical analysis of the electrostatic field, Collection of the scientific works of KISP , V. 6 (2001), 223-227.