Evans Harrell

Professor and Assoc. Dean Emeritus School of Mathematics Georgia Institute of Technology Atlanta GA 30332-0160 email:h a r r e l l (at) math.gatech.edu

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Links and current events

• Lecture series at the Workshop on Methods in Nonlinear Analysis-Kennesaw State University , November, 2020
• Georgia Tech Club Math students and some others presented a Math Court skit at the 2020 Celebration of Mind. Check back here for a recording soon.
• We are sorry that we had to cancel the 2020 Mathapalooza! at the The Atlanta Science Festival in March, 2020, but If you enjoy public engagement with math you may wish to check from time to time collected on the Mathematics in Motion website.
• Here is a short bio , and you could search the arxiv for my preprints or Google Scholar for my publications.
• News Bulletin of the International Association for Mathematical Physics
• My WWW textbook with James Herod, Linear Methods of Applied Mathematics: Orthogonal series, boundary-value problems, and integral operators (which can be used in Math 4582 and 4348 at Georgia Tech).
• Some on-line lectures (sorry, not up to date and what's there is not complete):
  1. Complementary estimates for eigenvalue means , a seminar at the miniconference on Sharp Eigenvalue Estimates for Partial Differential Operators, April, 2020.
  2. A toolkit for controlling eigenfunctions, with applications to quantum graphs , a seminar at West Georgia University, November, 2019.
  3. Lower bounds on the fundamental spectral gap for single-well potentials , a seminar at the Catholic University of Chile, December, 2018. (Similar talk given at Embry Riddle Aeronautical Univ., October, 2019.)
  4. Localization of eigenfunctions on quantum graphs, a seminar given at the Joint Mathematics Meetings in San Diego, January, 2018, and at the University of Kentucky, April, 2018.
  5. What does the average eigenvalue know?, a colloquium at Case Western Reserve University, March, 2017.
  6. Minicourse at the CIMPA program in Kairouan, Tunisia, November, 2016, "Spectral theory on combinatorial and quantum graphs"
     1. Lecture 1 video (skip first 5 minutes of set-up) or pdf
     2. Lecture 2 video or pdf
     3. Lecture 3 video part1/ part2 (with sound problems) or pdf
     4. Lecture 4 video or pdf
     5. The formal version of the lectures
  7. Pointwise control of eigenfunctions on quantum graphs, a seminar at QMath13, held at Geoprgia Tech, October, 2016.
  8. Agmon metrics, exponential localization and the shape of quantum graphs, a seminar at the Canadian Mathematical Society, December, 2015.
  9. Can one hear the shape of information, lecture for Math 4801, October, 2015.
  10. Semiclassically sharp bounds for sums of eigenvalues and heat traces , a seminar at ICMS, Edinburgh, June, 2015.
  11. Agmon metrics, exponential localization and the shape of quantum graphs , a seminar at the Canadian Mathematical Society, December, 2015.
  12. Spectral insights into shape optimization , a seminar at the African Institute for Mathematical Sciences, May, 2015.
  13. Optimal estimates of sums of eigenvalues and heat traces a seminar at the Banff International Research Station, March, 2015.
  14. On sums of graph eigenvalues , a seminar at the International Conference on Graph Theory, Grenoble, France, July, 2014 ( PDF)
  15. Mathematical understandings of Africa for Africa Beyond Africa, a symposium at Georgia Tech, May, 2014. ( PDF or Youtube video)
  16. On sums of eigenvalues of elliptic operators on homogeneous spaces a seminar at a meeting of the AMS, Knoxville, March, 2014. PDF)
  17. On sums of eigenvalues, and what they reveal about graphs and manifolds , a seminar at the University of Tours, February, 2014. ( PDF)
  18. Eigenvalue distributions and the structure of graphs , a seminar at the Euler International Mathematical Institute, St. Petersburg, Russia, July, 2013 ( PDF)
  19. Shapes that optimize spectra of differential operators , a seminar at the Institut Elie Cartan, Université H. Poincaré, Nancy, France, February, 2010. ( PDF)
  20. Some semiclassical and universal estimates of eigenvalues of quantum graphs, a seminar at Virginia Tech, October, 2010. ( PDF)
  21. Some geometric and topological inequalities arising in nanophysics, a seminar at Changchun, China, July, 2010. ( PDF)
  22. Means of chords and related problems of geometric optimization in the plane, a seminar at Pavia, Italy, June, 2010. ( PDF)
  23. 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)
  24. 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)
  25. 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)
  26. 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)
  27. Have you heard what's going round? , a lecture on spectral geometry for graduate students. ( PDF)
  28. A lecture on trace identities and sharp semiclassical inequalities given at the Erwin Schrödinger Institut in Vienna, 11 May, 2009.
  29. more.
• The seminars of the School of Mathematics

Past and ongoing activities, such as selected courses from past semesters

• In the fall of 2019 the GT Math Team was doing guerrilla math around Atlanta, and we are always looking for partners in crime for whenwe gear back up, so shoot me a message if you have ideas of that kind. AIM Workshop entitled Shape optimization with surface interactions in June, 2019.
• From September through November, 2018, a math-themed performance called The Seven Bridges of Königsberg popped up on the Georgia Tech campus and around Atlanta, commemorating the birth of graph theory in an article of Euler in 1736, with original music and dance. Here and here are some promotional materials. Updated links will be posted when available.
• The International Congress on Mathematical Physics took place 23-28 July, 2018, in Montreal.
• Atlanta Science Festival - especially
  • Mathematics in Motion. (See also its Facebook page.)
  • The Golden Record. Check out the nice trailer from this event and the Golden Record Facebook page.
  • Circus Science and the Circus Science Facebook page
• Africa Atlanta 2014.
• The home page for Math 2411, Honors Vector Calculus, Spring, 2013
• The home page for Math 4347, Introduction to PArtial Differential Equations, Fall, 2011
• The home page for Math 6580, Hilbert space, Fall, 2009, is both on line and linked to T-Square.
• The home page for Math 2401, Vector Calculus, Fall, 2008. which was also accessible through T-Square.
• The course page for Math 2401, Vector Calculus, Fall, 2007. The Math Forum, with many resources and links for mathematics classes
• History of Mathematics
• History of Mathematics
• On-line resources for Georgia Tech's calculus classes
• The Georgia Tech library
• The Mathematical Quotations Server

Scientific organizations

• The ArXiv(Open access to electronicpreprints in physics, mathematics, computer science and quantitative biology)
• AAAS, American Association for the Advancement of Science
• AMS, American Mathematical Society
• APS, American Physical Society
• Forum on Physics and Society
• The International Association of Mathematical Physicists
• mp-arc, a preprint archive for mathematical physics
• SIAM, Society for Industrial and Applied Mathematics

Personal

• If you are interested in travel and family pictures, they are archived from time to time on my Smugmug page

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