The research carried out by the members of the Analysis Group, primarily focused on partial differential equations and related areas, covers a wide range of topics, from classical aspects of PDEs, to microlocal and global analysis, analysis on graphs, spectral theory, nonlinear equations, and complex analysis in several variables.
The Analysis Group includes:
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Irem Altiner, Graduate Student
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Artur Andrade, Graduate Student
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Yury Grabovsky, Professor
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Cristian Gutierrez, Professor, nonlinear PDEs, optimal transport, optics
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Mihaela Ignatova, Associate Professor
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Jeongsu Kyeong, Graduate Student
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Irina Mitrea, L.H. Carnell Professor
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Katrina Morgan, Assistant Professor
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Patrick Phelps, Research Assistant Professor
The Analysis Group is active in a variety of research areas including:
- microlocal analysis
- complex analysis in several variables, including analysis on CR manifolds
- nonlinear differential equations
- differential complexes, elliptic or not
- spectral theory on manifolds with singularities, including quantum graphs
- harmonic analysis
- calculus of variations
- homogenization of PDEs
Analysis Seminar (a link to the external webpage will appear).
Several graduate students have completed Ph.D.s in analysis in recent years. Interested graduate students are encouraged to take advanced topics courses in these and related areas and to attend the analysis seminar. General information about graduate study in mathematics at Temple University can be found on the graduate program website.
Selected Courses:
- Math 8141-8142: Partial Differential Equations I-II.
- Math 9400: Topics in Analysis.
- Math 9041: Functional Analysis.
- Math 9051: Several Complex Variables.