Students & Postdocs, Teaching

Postdoctoral Researchers

• Anna Skorobogatova — ETH Zurich 2024–present
• Stefano Decio — University of Minnesota / ETH Zurich Fall 2022–present
• Vikram Giri — ETH Zurich Fall 2023–2025
• Jaume de Dios Pont — ETH Zurich Fall 2023–2025
• Laura Shou — University of Minnesota Fall 2022–2023
• Tomas Merchan Rodriguez — University of Minnesota, Fall 2020–2022 PhD from Kent State University (B. Jaye & F. Nazarov). Worked on regularity of solutions and the Robin BVP for elliptic operators on domains with low-dimensional boundaries. Assistant Professor at Clayton State University as of 2022.
• Shiwen Zhang — University of Minnesota, Fall 2019–August 2022 PhD from UC Irvine (S. Jitomirskaya, 2016); postdoc at Michigan State (A. Volberg). Worked on localization landscape theory, landscape law for eigenvalue approximation, and Poisson-landscape equations. Assistant Professor at UMass Lowell as of Fall 2022.
• Linhan Li — University of Minnesota, Fall 2019–July 2022 PhD from Brown University (J. Pipher). Dunham Jackson Assistant Professor. Worked on properties of the Green function and elliptic measures for operators with nonsmooth coefficients. Lecturer at the University of Edinburgh as of Fall 2022.
• Guillermo Rey — University of Minnesota, Fall 2018–Spring 2019 PhD from Michigan State University, 2015. Research focused on localization of eigenfunctions and harmonic measure on rough boundaries; previously a software engineer at Google.
• Robert Viator — University of Minnesota / IMA, 2016–2017 PhD from Louisiana State University (R. Lipton). Worked on the localization landscape approach to Weyl law in periodic structures.
• Simon Bortz — University of Minnesota, September 2016–2018 PhD from University of Missouri (S. Hofmann, Spring 2016). Worked on Dirichlet, Neumann, and regularity problems in higher co-dimension, and layer potentials for the generalized Schrödinger operator. Acting Assistant Professor at University of Washington as of Fall 2018.
• Joseph Feneuil — University of Minnesota, September 2015–Spring 2018 PhD from University of Grenoble (E. Russ). Dunham Jackson postdoctoral researcher. Worked on analogues of harmonic measure in higher co-dimension. Research Assistant Professor at Temple University as of Fall 2018.
• Stephen Lewis — University of Minnesota, September 2014–January 2015 PhD from University of Washington (T. Toro, 2014). Worked on localization of waves; left to work in industry in 2015.
• Blair Davey — University of Minnesota, 2013–2015 PhD from University of Chicago (C. Kenig). Worked on boundary value problems for Schrödinger-type elliptic operators. Assistant Professor at CUNY as of Fall 2018.
• Ariel Barton — Purdue University and University of Minnesota, 2010–2013 PhD from University of Chicago (C. Kenig). Worked on higher order elliptic problems on Lipschitz domains. Produced 5 research papers, 3 joint with S. Mayboroda, and 1 monograph accepted to Memoirs of the AMS. Assistant Professor at University of Arkansas, Fayetteville as of Fall 2018.

Graduate Students

• Alberto Pacati — ETH Zurich 2024–present
• Cole Jeznach — ETH Zurich, graduated Spring 2024 Co-supervised with Max Engelstein. Worked on the study of elliptic measure outside of sets with low dimension.
• Zanbing Dai — University of Minnesota, graduated Spring 2023 Studied the regularity problem for second order elliptic operators in higher co-dimension.
• Bruno Poggi — University of Minnesota, graduated Spring 2021 Doctoral dissertation fellow. Thesis: Boundary value problems for second-order elliptic equations and related topics — recipient of the 2021 Outstanding Thesis Award. Currently a postdoctoral investigator at Universitat Autònoma de Barcelona (X. Tolsa).
• Jonathan Hill — University of Minnesota, graduated Spring 2017 Worked on properties of the Green function for elliptic operators with bounded measurable coefficients, including sharp mapping properties in weak-L^p spaces.
• Koushik Ramachandran — Purdue University, graduated May 2014 Co-supervised with Alexandre Eremenko. Worked on asymptotics of harmonic functions in rough paraboloid-shaped domains. Postdoctoral position at the Indian Statistical Institute, Bangalore.
• Eli Johnson — University of Minnesota Worked on boundary regularity for the fractional Laplacian. Currently a graduate student at the University of Washington.

Undergraduate Research

• Brandon Patterson Worked on localization of vibrations in non-homogeneous strings. Related materials: publication list, SIAM CSE talk abstract, Best Undergraduate Speaker Award. Currently a graduate student at the University of Michigan.
• Landon Lehman Investigated the dependence of Anderson localization on the magnitude of disorder (co-supervised with Ariel Barton). See also the project report. Clinical Assistant Professor of Physics at SUNY as of Fall 2018.
• Ye Wang — University of Minnesota, 2013 UROP project on localization of vibrations and conformal mappings.
• Yaowen Gu — University of Minnesota, 2012 Senior project on harmonic measure and Brownian motion.
• Levi Walls — University of Minnesota, 2016 Studied boundary value problems for elliptic equations, spectral theory, and spherical harmonics.
• Joseph Pate — University of Minnesota, 2016–2017 Worked on properties of the landscape function for the Neumann problem and localization of Neumann eigenfunctions. UROP award recipient; supported in part by the REU project within S. Mayboroda’s CAREER grant.

Teaching

Course	Level	Institution	Term
Analysis Seminar	Graduate	ETH Zurich	Fall 2026
Analysis Seminar	Graduate	ETH Zurich	Spring 2026
Analysis Seminar	Graduate	ETH Zurich	Fall 2025
Turbulence and Associated Aspects of PDEs and Geometric Measure Theory	Undergraduate / Graduate	ETH Zurich	Spring 2025
Analysis Seminar	Graduate	ETH Zurich	Spring 2025
Analysis Seminar	Graduate	ETH Zurich	Fall 2024
Analysis Seminar	Graduate	ETH Zurich	Spring 2024
Analysis Seminar	Graduate	ETH Zurich	Spring 2024
Student Seminar in Analysis: Harmonic Measure	Undergraduate / Graduate	ETH Zurich	Spring 2024
Elliptic Partial Differential Equations	Graduate	ETH Zurich	Fall 2023
Analysis Seminar	Graduate	ETH Zurich	Fall 2023
Partial Differential Equations	Undergraduate	University of Minnesota	Fall 2019
Partial Differential Equations	Undergraduate	University of Minnesota	Fall 2015
Real Analysis	Graduate	University of Minnesota	Fall 2014
Theory of Partial Differential Equations II	Graduate	University of Minnesota	Spring 2014
Linear Algebra and Differential Equations	Undergraduate	University of Minnesota	Spring 2013
Partial Differential Equations	Undergraduate	University of Minnesota	Fall 2011
Introduction to Distributions	Graduate (reading)	Purdue University	Summer 2011
Partial Differential Equations	Undergraduate	Purdue University	Spring 2011
Ordinary Differential Equations	Undergraduate	Purdue University	Fall 2010
Ordinary Differential Equations	Undergraduate	Purdue University	Fall 2009
Differential Equations and PDEs for Engineering	Undergraduate	Purdue University	Fall 2008
Accelerated Calculus with Analytic Geometry II	Undergraduate	The Ohio State University	Winter 2008
Real Analysis I–III	Undergraduate	The Ohio State University	2006–2008
Mathematical Analysis for Business II	Undergraduate	The Ohio State University	Spring 2006
Calculus and Analytic Geometry I	Undergraduate	The Ohio State University	Winter 2006
Analytic Geometry and Calculus I	Undergraduate	University of Missouri–Columbia	Fall 2004
Calculus II	Undergraduate	University of Missouri–Columbia	Fall 2003
Elements of Calculus	Undergraduate	University of Missouri–Columbia	2003–2005
College Algebra for Calculus Bound Students	Undergraduate	University of Missouri–Columbia	Fall 2002