Ahlfors circle maps and total reality: from Riemann to Rohlin

This is a prejudiced survey on the Ahlfors (extremal) function and the weaker {\it circle maps} (Garabedian-Schiffer's translation of "Kreisabbildung"), i.e. those (branched) maps effecting the conformal representation upon the disc of a {\it compact bordered Riemann surface}. The theory in question has some well-known intersection with real algebraic geometry, especially Klein's ortho-symmetric curves via the paradigm of {\it total reality}. This leads to a gallery of pictures quite pleasant to visit of which we have attempted to trace the simplest representatives. This drifted us toward some electrodynamic motions along real circuits of dividing curves perhaps reminiscent of Kepler's planetary motions along ellipses. The ultimate origin of circle maps is of course to be traced back to Riemann's Thesis 1851 as well as his 1857 Nachlass. Apart from an abrupt claim by Teichm\"uller 1941 that everything is to be found in Klein (what we failed to assess on printed evidence), the pivotal contribution belongs to Ahlfors 1950 supplying an existence-proof of circle maps, as well as an analysis of an allied function-theoretic extremal problem. Works by Yamada 1978--2001, Gouma 1998 and Coppens 2011 suggest sharper degree controls than available in Ahlfors' era. Accordingly, our partisan belief is that much remains to be clarified regarding the foundation and optimal control of Ahlfors circle maps. The game of sharp estimation may look narrow-minded "Absch\"atzungsmathematik" alike, yet the philosophical outcome is as usual to contemplate how conformal and algebraic geometry are fighting together for the soul of Riemann surfaces. A second part explores the connection with Hilbert's 16th as envisioned by Rohlin 1978.Comment: 675 pages, 199 figures; extended version of the former text (v.1) by including now Rohlin's theory (v.2

Bowdoin College Catalogue (1979-1980)

https://digitalcommons.bowdoin.edu/course-catalogues/1260/thumbnail.jp

Interview with Endre Szemerédi

Endre Szemerédi is the recipient of the 2012 Abel Prize of the Norwegian Academy of Science and Letters. This interview was conducted in Oslo in May 2012 in conjuction with the Abel Prize celebration

Wellesley Bulletin [2006-2007]

https://repository.wellesley.edu/catalogs/1104/thumbnail.jp

Wellesley College Courses [2005-2006]

https://repository.wellesley.edu/catalogs/1103/thumbnail.jp

Annual Report of the University, 1979-1980, Volumes 1-5

Athletics at the University of New Mexico sunk to the lowest of depths in 1979-80, but the turbulent year will also be remembered as the renaissance a rebirth\u27 for the department. Scandal of national magnitude struck the trumpeted Lobo basketball program from all angles. First the NCAA handed down several accusations, followed shortly by an FBI investigation into the altering of player transcripts. Head Coach Norm Ellenberger was terminated and his assistant Manny Goldstein resigned under pressure. Ellenberger is scheduled to go before federal court June 16 on charges of mail fraud, wire fraud and interstate racketeering. UNM attorney Peter Johnstone has compiled an 800-page response to the 92 violations handed down by the NCAA infractions committee and UNM officials are scheduled to meet with the committee in Chicago in July.\u2

2021-2022 University of Nebraska at Omaha Catalog

Located in one of America’s best cities to live, work and learn, the University of Nebraska at Omaha (UNO) is Nebraska’s premier metropolitan university. With more than 15,000 students enrolled in 200-plus programs of study, UNO is recognized nationally for its online education, graduate education, military friendliness, and community engagement efforts. Founded in 1908, UNO has served learners of all backgrounds for more than 100 years and is dedicated to another century of excellence both in the classroom and in the communit

University of Nebraska at Omaha 2020-2021 Course Catalog

Located in one of America’s best cities to live, work and learn, the University of Nebraska at Omaha (UNO) is Nebraska’s premier metropolitan university. With more than 15,000 students enrolled in 200-plus programs of study, UNO is recognized nationally for its online education, graduate education, military friendliness, and community engagement efforts. Founded in 1908, UNO has served learners of all backgrounds for more than 100 years and is dedicated to another century of excellence both in the classroom and in the communit

Wellesley College Courses [2008-2009]

https://repository.wellesley.edu/catalogs/1106/thumbnail.jp

Bridgewater State College Undergraduate/Graduate Catalogue 1992-1993

https://vc.bridgew.edu/bsc_catalogs/1023/thumbnail.jp