LabCompass

Antônio Sá Barreto

Mathematics · Purdue University West Lafayette

OpenAlex ORCID
Established · publishing since 1988
Advanced Mathematical Physics ProblemsNumerical methods in inverse problemsSpectral Theory in Mathematical PhysicsGeometric Analysis and Curvature FlowsAdvanced Mathematical Modeling in Engineering

Publications

74

Citations

1,002

Est. group size

—

Recurring co-author estimate

Active years

39

Publishing since 1988

Research summary
AI-generated

This researcher works in mathematical analysis, focusing on inverse problems and scattering theory for wave and Schrödinger equations on curved spaces such as hyperbolic manifolds. A central theme is figuring out how to recover unknown physical properties (like nonlinear terms or potentials in equations, or the shape of a space) from observations of how waves scatter off them. Some recent work also touches on applied topics like data-driven modeling and automated statistical fitting techniques.

Inverse problems and scattering theoryWave and Schrödinger equationsSpectral theory on curved (hyperbolic) spacesSemilinear partial differential equationsApplied statistical/computational modeling

Publication output has been modest but fairly steady over the past decade, with occasional gaps followed by small clusters of papers, averaging about 2 papers per year over the last 5 years.

Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026

Publication cadence
Publications per year over the last 10 years — averaging 2.2/year recently
172018: 3 publications18192020: 4 publications4202021: 2 publications212022: 2 publications222023: 1 publication232024: 3 publications242025: 3 publications252026: 2 publications26
Recent publications
Publishes in
  • arXiv (Cornell University)×9
  • Asymptotic Analysis×2
  • Communications in Partial Differential Equations×2
  • Communications in Mathematical Physics×1
  • Pure and Applied Analysis×1
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This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.

Last updated Jul 20, 2026.

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