Students and postdocs
These are my current and former students and postdocs.
Postdocs
Lei Wu- Postdoc from 2015-2018.
- Collaboration topics: surfactants, fluid droplets.
- Now at Lehigh University.
- Postdoc from 2024-present.
Ph.D. students
Junichi Koganemaru- Ph.D. student 2017-2023
- Thesis topics: analysis of fluid equations.
- Ph.D. student 2014-2020.
- Thesis topics: free boundary problems with generalized bending energies, stability of micropolar fluids.
- Now a postdoc at the University of Wisconsin-Madison.
Master's students
David Altizio- Master's student 2018-2019.
- Summer researcher 2018, funded by NSF Grant DMS #1653161.
- Thesis topic: screened fractional Sobolev spaces.
- Currently working on a Ph.D. at University of Illinois at Urbana-Champaign, supported by a National Science Foundation Graduate Research Fellowship.
- Master's student 2024-2025.
- Thesis topic: Schauder estimates for elliptic systems.
- Master's student 2022-2023.
- Summer researcher 2022 and 2023, funded by NSF Grant DMS #1653161 and #2204912.
- Thesis topic: regulated integrals and anisotropic Sobolev spaces.
- Currently working on a Ph.D. at U. Chicago.
- Master's student 2020-2021.
- Summer researcher 2019 and 2020, funded by NSF Grant DMS #1653161.
- Thesis topic: fluids and interpolation theory.
- Currently working on a Ph.D. at Princeton, supported by a National Science Foundation Graduate Research Fellowship.
- Master's student 2017-2019.
- Research topic: analysis of fluid equations.
- Currently working in industry.
- Master's student 2018-2019.
- Thesis topic: traces for homogeneous Sobolev spaces in infinite cylindrical domains.
- Currently working in industry.
- Master's student 2018-2019.
- Summer researcher 2018, funded by NSF Grant DMS #1653161.
- Thesis topic: viscous Faraday wave problem.
- Currently working on a Ph.D. in CS at CMU.
- Master's student 2016-2017.
- Summer researcher 2016.
- Thesis topic: viscous free boundary problems with fractional boundary operators.
- Currently working on a Ph.D. at Princeton, supported by a National Science Foundation Graduate Research Fellowship.
Undergraduate research students
David Altizio- Summer researcher 2018, funded by NSF Grant DMS #1653161.
- Research topic: viscous Faraday wave problem.
- Currently working on a Ph.D. at University of Illinois at Urbana-Champaign, supported by a National Science Foundation Graduate Research Fellowship.
- Summer researcher 2020, funded by NSF Grant DMS #1653161.
- Research topic: surfactants and the Arnold interpretation of the Euler equations.
- Currently working on a Ph.D. at Penn State.
- Summer researcher 2020, funded by NSF Grant DMS #1653161.
- Research topic: surfactants and the Arnold interpretation of the Euler equations.
- Currently working on a Ph.D. at U. Chicago.
- Summer researcher 2020, funded by NSF Grant DMS #1653161.
- Research topic: surfactants and the Arnold interpretation of the Euler equations.
- Currently working on a Ph.D. at UCLA.
- Summer researcher 2020, funded by NSF Grant DMS #1653161.
- Research topic: surfactants and the Arnold interpretation of the Euler equations.
- Goldwater Scholar, 2021.
- Currently working on a Ph.D. at Stanford.
- Summer researcher 2022 and 2023, funded by NSF Grant DMS #1653161 and #2204912.
- Research topic: anisotropic Sobolev spaces.
- Currently working on a Ph.D. at U. Chicago.
- Summer researcher 2020, funded by NSF Grant DMS #1653161.
- Research topic: surfactants and the Arnold interpretation of the Euler equations.
- Currently working in industry.
- Summer researcher 2022, funded by NSF Grant DMS #1653161 and #2204912.
- Research topic: anisotropic Sobolev spaces.
- Currently working in industry.
- Summer researcher 2019 and 2020, funded by NSF Grant DMS #1653161.
- Research topics: (1) stability of special solutions to the micropolar fluid equations; (2) truncated real interpolation and screened Sobolev spaces; (3) traveling wave solutions to the multi-fluid Navier-Stokes equations.
- Goldwater Scholar, 2020.
- Currently working on a Ph.D. at Princeton, supported by a National Science Foundation Graduate Research Fellowship.
- Summer researcher 2023, funded by NSF Grant DMS #1653161.
- Research topic: Muskat problem.
- Currently finishing CMU undergrad.
- Summer researcher 2018, funded by NSF Grant DMS #1653161.
- Research topic: viscous Faraday wave problem.
- Currently working on a Ph.D. in CS at CMU, supported by a Microsoft Research Ph.D. Fellowship.
- Summer researcher 2018, funded by NSF Grant DMS #1653161.
- Research topic: viscous Faraday wave problem.
- Ph.D. in CS at CMU.
- Currently working in industry.
- Summer researcher 2016.
- Research topic: viscous free boundary problems with fractional boundary operators.
- Princeton Ph.D. student, supported by a National Science Foundation Graduate Research Fellowship.
- Currently working in industry.