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From Fundamental Theorem of Algebra to Astrophysics: A "Harmonious" Path

Dmitry Khavinson and Genevra Neumann

Harmonic and complex polynomials (the difference of a complex polynomial and the conjugate of another complex polynomial) can have infinitely many zeros, although not if the two complex polynomials have different degrees. An important generalization and special case considered previously by the authors is where the first polynomial is replaced by a rational function and the second is the conjugate of the variable. It turns out that their solution settles a conjecture concerning gravitational lensing, as the article explains.
(pp. 666)
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Jobs in Mathematics Education in Institutions of Higher Education in the United States

Robert E. Reys

The author surveyed institutions of higher education conducting national searches for mathematics educators. Among the findings are that about three-fifths of the searches were successful, but of those, more than half were filled by faculty moving from another institution. Mathematics departments were overall more successful than education departments in filling positions, and of those, about one-third hired applicants with Ph.D.s in mathematics. The author also reports on salaries and startup packages offered.
(pp. 676)
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