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Kiril Datchev

Mathematics · Purdue University West Lafayette

OpenAlex
Mid career · publishing since 2002
Spectral Theory in Mathematical PhysicsNumerical methods in inverse problemsAdvanced Mathematical Physics ProblemsQuantum chaos and dynamical systemsAdvanced Mathematical Modeling in Engineering

Publications

64

Citations

453

Est. group size

—

Recurring co-author estimate

Active years

24

Publishing since 2002

Research summary
AI-generated

Kiril Datchev works in mathematical analysis, focusing on how waves and quantum particles behave over long times and how their scattering properties relate to underlying geometric and physical structures. His work often examines 'resolvent' techniques (a mathematical tool for studying wave equations and quantum systems) to understand decay rates, resonances, and singularities in settings such as waveguides, manifolds with infinite ends, and systems with point-like potentials. This research is largely theoretical, aimed at rigorously proving how solutions to wave and Schrödinger-type equations behave over time and space.

Wave decay and propagation of singularitiesResolvent and resonance asymptoticsScattering theorySpectral theory of quantum HamiltoniansMathematical physics on manifolds and waveguides

Publication output has been steady to slightly increasing over the past decade, with a noticeable uptick from 2021 onward and a stable average of about 4 papers per year over the last five years.

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

Publication cadence
Publications per year over the last 10 years — averaging 4.2/year recently
2017: 4 publications17182019: 1 publication192020: 2 publications202021: 5 publications212022: 7 publications7222023: 4 publications232024: 5 publications242025: 5 publications2526
Recent publications
Publishes in
  • arXiv (Cornell University)×16
  • Proceedings of the American Mathematical Society×3
  • Journal of Spectral Theory×2
  • Letters 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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