Evans Harrell

Professor School of Mathematics Georgia Institute of Technology Atlanta GA 30332-0160 email:h a r r e l l (at) math.gatech.eduPhone: (404) 894 3300

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Links and current events

• Some older on-line lectures
  1. Shapes that optimize spectra of differential operators , a seminar at the Institut Elie Cartan, Université H. Poincaré, Nancy, France, February, 2010. ( PDF)
  2. Some semiclassical and universal estimates of eigenvalues of quantum graphs, a seminar at Virginia Tech, October, 2010. ( PDF)
  3. Some geometric and topological inequalities arising in nanophysics, a seminar at Changchun, China, July, 2010. ( PDF)
  4. Means of chords and related problems of geometric optimization in the plane, a seminar at Pavia, Italy, June, 2010. ( PDF)
  5. Eleven spectral properties of the sphere, a seminar given at the Queen Dido Conference in Carthage, Tunisia, May, 2010 and in Neuchâtel, Switzerland, June, 2010. ( PDF)
  6. Sum rules and semiclassical limits for quantum Hamiltonians on surfaces, periodic structures, and graphs, a seminar at the Institut Bernoulli Lausanne, Switzerland, February, 2010. ( PDF)
  7. Sum rules and semiclassical limits for the spectra of some elliptic PDEs and pseudodifferential operators a seminar at the Institut Elie Cartan, Université H. Poincaré, Nancy, France, February, 2010. ( PDF)
  8. Sum rules and semiclassical limits for quantum Hamiltonians on surfaces, periodic structures, and graphs, a seminar at the workshop on "Mathematical aspects of quantum transport and applications in nanophysics", Aalborg, Denmark, August, 2009. ( PDF)
  9. Have you heard what's going round? , a lecture on spectral geometry for graduate students. ( PDF)
  10. A lecture on trace identities and sharp semiclassical inequalities given at the Erwin Schrödinger Institut in Vienna, 11 May, 2009.
  11. Lectures given at the CIMPA-UNESCO-MOROCCO School, Riemannian Geometry, pseudo-Riemannian Geometry and Mathematical Physics, Marrakech, Morocco, 19-30 May, 2008:
      • Quantum Mechanics for the Impatient
      • The Hunting of the Spectrum
      • Possible, Impossible, and Extremal Spectra
  12. Universal patterns in spectra of differential operators
  13. Two lectures given at the Benin International Conference on Calculus Variations and Operations Research, Ouidah, Benin, 10 and 12 Sept., 2007:
      • Geometric inequalities arising in nanophysics
      • Universal estimates of eigenvalues of elliptic operators
  14. Sharp geometric bounds for eigenvalues of Schrödinger operators, slides from the talk given at the September, 2006, meeting on Operator Theory in Quantum Physics (OTQP) (PDF).
  15. Perturbation theory and atomic resonances since Schrödinger's time, slides from the talk given at the March, 2006 Simon Fest (PDF)
  16. Isoperimetric problems arising in the physics of thin structures , a seminar given at Mississippi State and at Tucson, 2006. ( pdf.)
  17. The extreme sport of eigenvalue hunting , a lecture for graduate students. (Powerpoint)
  18. Commutators, eigenvalue gaps, and quantum mechanics on surfaces (Powerpoint or PDF). Colloquium given in Tucson and Tours, 2004.
  19. Universal spectral bounds for Schrödinger operators on surfaces (Powerpoint or PDF). QMath9, Giens, France, September, 2004.
  20. Some geometric bounds on eigenvalues of elliptic PDEs (Powerpoint or PDF), Cardiff, Wales, July, 2004.
  21. The lightest coins and the lightest rollng bearings. Colloquium on convex bodies of constant width.
  22. Gap estimates for Schrödinger operators depending on curvature, UAB, Birmingham, Alabama, 2002. (Format: PDF)
  23. A direct proof of a theorem of Blaschke and Lebesgue, seminar, 2002.
• The seminars of the School of Mathematics

Links for Georgia and Georgia Tech

• The Georgia Tech home page
• GIT Math
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