Introduction
Arnold F. Emch (24 March 1871 – 1959) was an American mathematician, known for his work on the inscribed square problem.
Emch received his Ph.D. in 1895 at the University of Kansas under the supervision of Henry Byron Newson. In the late 1890s until 1905 he was an assistant professor of graphic mathematics in the school of engineering at the Kansas State Agricultural College (now Kansas State University). In 1905 Emch became a professor of mathematics at the Kantonsschule in Solothurn, Switzerland. In 1908 Emch gave a lecture at the International Congress of Mathematicians in Rome. From 1911 to 1939 he was a professor at the University of Illinois Urbana-Champaign.
His wife was Hilda Walters Emch (1875–1962) and they had two sons, Walter Emch and Arnold Frederick Emch (1899–1989), a well-known management consultant.
Selected publications
- Projective groups of perspective collineations in the plane treated synthetically. 1896. (PhD dissertation)
- Introduction to projective geometry and its applications; an analytic and synthetic treatment, by Arnold Emch. 1905.
- Reise und kulturbilder aus den Vereinigten Staaten von Amerika, insbesondere aus dem "fernen Westen.". 1908.
- "Some properties of closed convex curves in a plane". American Journal of Mathematics. 35: 407–412. 1913. doi:10.2307/2370404.
- "On the construction and modelling of algebraic surfaces". The American Mathematical Monthly. 28: 46–54. February 1921. doi:10.2307/2973033.
- Mathematical models. 1921.
- Some problems of closure connected with the Geiser transformation. Bull. Amer. Math. Soc. 30. 1924. pp. 527–535. MR 1560958.
- "On the Weddle surface and analogous loci". Trans. Amer. Math. Soc. 27 (3): 270–278. 1925. doi:10.1090/s0002-9947-1925-1501311-7. MR 1501311.
- "On the discriminant of ternary forms and a certain class of surfaces". Trans. Amer. Math. Soc. 28 (3): 432–434. 1926. doi:10.1090/s0002-9947-1926-1501356-8. MR 1501356.
- Selected topics in algebraic geometry: report of the Committee on rational transformations: Virgil Snyder, Arthur B. Coble, Arnold Emch, Solomon Lefschetz, F. R. Sharpe, Charles H. Sisam. National Research Council (U.S.). 1928.
- "Triple and multiple systems, their geometric configurations and groups". Trans. Amer. Math. Soc. 31 (1): 25–42. 1929. doi:10.2307/1989395.
- "On algebraic surfaces which are invariant in a certain class of finite collineation groups". Bull. Amer. Math. Soc. 36 (8): 547–552. 1930. doi:10.1090/s0002-9904-1930-04993-9. MR 1561992.
- "New point configurations and algebraic curves connected with them". Bull. Amer. Math. Soc. 45 (10): 731–735. 1939. doi:10.1090/s0002-9904-1939-07066-3. MR 0000490.