
Erika Pannwitz (May 26, 1904 in
Hohenlychen,
Germany
Germany, officially the Federal Republic of Germany (FRG),, is a country in Central Europe. It is the most populous member state of the European Union. Germany lies between the Baltic and North Sea to the north and the Alps to the sou ...
– November 25, 1975 in
Berlin
Berlin is Capital of Germany, the capital and largest city of Germany, both by area and List of cities in Germany by population, by population. Its more than 3.85 million inhabitants make it the European Union's List of cities in the European U ...
) was a German mathematician who worked in the area of
geometric topology
In mathematics, geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another.
History
Geometric topology as an area distinct from algebraic topology may be said to have originat ...
. During
World War II
World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the World War II by country, vast majority of the world's countries—including all of the great power ...
, Pannwitz worked as a
cryptanalyst
Cryptanalysis (from the Greek ''kryptós'', "hidden", and ''analýein'', "to analyze") refers to the process of analyzing information systems in order to understand hidden aspects of the systems. Cryptanalysis is used to breach cryptographic se ...
in the Department of
Signal Intelligence Agency of the
German Foreign Office
, logo = DEgov-AA-Logo en.svg
, logo_width = 260 px
, image = Auswaertiges Amt Berlin Eingang.jpg
, picture_width = 300px
, image_caption = Entrance to the Foreign Office building
, headquarters = Werderscher Mark ...
(german: Auswärtiges Amt) colloquially known as
Pers Z S The Pers Z S was the signals intelligence agency of the German Foreign Office (german: Auswärtiges Amt) before and during World War II. It consisted of two cryptologic sections. Pers Z S was the cryptanalytic section which was called ''Special Ser ...
. After the war, she became editor-in-chief of
Zentralblatt MATH
zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastruct ...
.
Education and thesis
Erika Pannwitz attended the Pannwitz Outdoor School in Hohenlychen until 10th grade, and graduated from Augusta State School in Berlin in 1922. She studied mathematics in Berlin, and also for a semester in
Freiburg
Freiburg im Breisgau (; abbreviated as Freiburg i. Br. or Freiburg i. B.; Low Alemannic: ''Friburg im Brisgau''), commonly referred to as Freiburg, is an independent city in Baden-Württemberg, Germany. With a population of about 230,000 (as o ...
(1925) and
Göttingen
Göttingen (, , ; nds, Chöttingen) is a college town, university city in Lower Saxony, central Germany, the Capital (political), capital of Göttingen (district), the eponymous district. The River Leine runs through it. At the end of 2019, t ...
(1928). After passing her teaching exam in 1927 (in mathematics, physics, and chemistry), Pannwitz was promoted in 1931 to
Dr Phil
Phillip Calvin McGraw (born September 1, 1950), better known as Dr. Phil, is an American television personality and author best known for hosting the talk show ''Dr. Phil''. He holds a doctorate in clinical psychology, though he ceased renew ...
at
Friedrich Wilhelms University with doctoral advisors
Heinz Hopf
Heinz Hopf (19 November 1894 – 3 June 1971) was a German mathematician who worked on the fields of topology and geometry.
Early life and education
Hopf was born in Gräbschen, Germany (now , part of Wrocław, Poland), the son of Elizabeth ( ...
and
Erhard Schmidt
Erhard Schmidt (13 January 1876 – 6 December 1959) was a Baltic German mathematician whose work significantly influenced the direction of mathematics in the twentieth century. Schmidt was born in Tartu (german: link=no, Dorpat), in the Gover ...
.
Her thesis titled: ''Eine elementargeometrische Eigenschaft von Verschlingungen und Knoten'' (An elementary geometric property of entanglements and knots), which appeared two years later in the prestigious journal
Mathematische Annalen
''Mathematische Annalen'' (abbreviated as ''Math. Ann.'' or, formerly, ''Math. Annal.'') is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann. Subsequent managing editors were Felix Klein, David Hilbert, ...
, was honored ''opus eximium'' being considered an outstanding thesis. Both doctoral advisors wrote extraordinary statements about the thesis. Hopf in particular wrote eight pages of comments and left a summary quoted below:
:The author has thus completely solved a difficult concrete problem posed to her through completely independent investigations; she has achieved this goal through the appropriate choice of new terms, through understanding and deep insight into the difficult material presented to her, through the mastery of older methods and their novel use, and has thus demonstrated her scientific maturity in this, her first dissertation.
Since, in my opinion, both the objective scientific value of this work and the subjective achievement in it exceed the level of good dissertations, I ask the faculty to accept the work submitted by Miss Pannwitz as a dissertation with the rating "eximium".
Schmidt also wrote an extraordinary statement on the thesis:
:I certainly agree with Mr Hopf's vote. Topology is one of the most promising but at the same time most difficult areas of mathematics, because the methodological-technical apparatus is still in its infancy, so that any valuable result can only be achieved with a high degree of strong inventiveness. Through the present work, topology has been enriched by a series of extraordinarily beautiful theorems
In her thesis, she established that every piecewise linear knot in general position (other than the unknot) has a
quadrisecant
In geometry, a quadrisecant or quadrisecant line of a space curve is a line that passes through four points of the curve. This is the largest possible number of intersections that a generic space curve can have with a line, and for such curves th ...
, i.e., four collinear points. The topic was suggested to her by
Otto Toeplitz
Otto Toeplitz (1 August 1881 – 15 February 1940) was a German mathematician working in functional analysis., reprinted in
Life and work
Toeplitz was born to a Jewish family of mathematicians. Both his father and grandfather were ''Gymnas ...
.
Later career
In September 1930, Pannwitz became an editor of
Jahrbuch über die Fortschritte der Mathematik
zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastruct ...
. This was due to the difficulty of women achieving an academic career in the 1930's, who found their career path blocked into higher education. It was also due to Pannwitz along with many other German mathematicians not wanting to provide support to the Nazis, despite her excellent dissertion. From 1940 to 1945, she worked in the cryptography service (with
Helmut Grunsky) as part of the war effort. After Germany's defeat in World War II, she briefly held an assistant position at
Marburg University
The Philipps University of Marburg (german: Philipps-Universität Marburg) was founded in 1527 by Philip I, Landgrave of Hesse, which makes it one of Germany's oldest universities and the oldest still operating Protestant university in the wor ...
. In 1946, she returned to Berlin to work as an editor for
Zentralblatt für Mathematik
zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastructu ...
,
[ and after the death of its previous editor-in-chief, , in 1956, she became editor-in-chief.] Travel to work was awkward, especially after the construction of the Berlin Wall in 1961, because she lived in West Berlin and had to pass through checkpoints to reach the Zentralblatt offices in East Berlin. East Germany at that time had mandatory retirement at age 60, which she reached in 1964. From 1964 until her retirement in 1969 she worked at the Zentralblatt office in West Berlin.[See also Bernd Wegner]
Mathematik-Information im Wechsel der Zeiten und politischen Systeme
Although Pannwitz had written what was considered an outstanding thesis, throughout her career, she never held a regular academic position. The reasons for this are unknown, but there could have been some element of discrimination, perhaps due to her gender or politics or both.
Publications
* ''Eine elementargeometrische Eigenschaft von Verschlingungen und Knoten.'', ''Math. Annalen.'' Volume 108, 1933, pp. 629–672
online
* With Heinz Hopf: ''Über stetige Deformationen von Komplexen in sich.'', ''Math. Annalen.'' Volume 108, 1933, pp. 433–465
* ''Eine freie Abbildung der n-dimensionalen Sphäre in die Ebene.'' free map from the n-dimensional sphere to the planeIn: ''Mathematische Nachrichten
''Mathematische Nachrichten'' (abbreviated ''Math. Nachr.''; English: ''Mathematical News'') is a mathematical journal published in 12 issues per year by Wiley-VCH GmbH. It should not be confused with the ''Internationale Mathematische Nachricht ...
.'' Volume 7, 1952, pp. 183–185
References
Further reading
* Maria Keipert (Red.): ''Biographisches Handbuch des deutschen Auswärtigen Dienstes 1871–1945.'' Herausgegeben vom Auswärtigen Amt, Historischer Dienst. Band 3: Gerhard Keiper, Martin Kröger: ''L–R.'' Schöningh, Paderborn u. a. 2008, .
External links
Short biography in DMV
{{DEFAULTSORT:Pannwitz, Erika
1904 births
1975 deaths
People from Uckermark (district)
People from the Province of Brandenburg
German women mathematicians
20th-century German mathematicians
Topologists
20th-century women mathematicians
20th-century German women
Humboldt University of Berlin alumni
University of Freiburg alumni
University of Göttingen alumni
Academic staff of the University of Marburg