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Fachbereich Mathematik
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Foto: UHH/Denstorf

Prof. Dr. Andrea Blunck

profilbild-andrea-blunck-180x240

Professorin für Mathematik und Gender Studies

Anschrift

Universität Hamburg
Fakultät für Mathematik, Informatik und Naturwissenschaften
Fachbereich Mathematik
Geo – Geometrie
Bundesstraße 55
20146 Hamburg

Büro

Raum: 211

Sprechzeiten

online-Treffen nach Vereinbarung per E-Mail

Kontakt

Tel.: +49 40 42838-5160

Lehre im Wintersemester 2022/23 (Näheres siehe STiNE):

  • Geometrie
  • Studiengang LAPS/LAS: Querschnittsthemen der Mathematik

Vorlesung Frauen in der Geschichte der Mathematik

Bei Fragen zum Studiengang LAPS/LAS wenden Sie sich bitte auch an die Studienfachberatung.

Informationsportal Lehramt Uni Hamburg

Inzidenzgeometrie

Meine geometrische Forschung ist der Inzidenzgeometrie und Geometrischen Algebra zuzuordnen. Hierbei werden algebraische Strukturen mit geometrischen Strukturen in Verbindung gebracht. Einige aktuelle Projekte sind:

  • assoziative Algebren und zugehörige Kreisgeometrien, insbesondere deren Darstellungen in projektiven Räumen (Geradenmodell der Möbiusebene und Verallgemeinerungen)
  • Kompositionsalgebren und zugehörige Parallelismen in projektiven Räumen (Verallgemeinerung der klassischen, mittels Quaternionen darstellbaren Clifford-Parallelismen)
  • Beschreibung klassischer Gruppen, die den nichtassoziativen achtdimensionalen Oktavenalgebren zugeordnet sind.

Mathematik und Gender Studies

In Bereich Gender Studies beschäftige ich mich vor allem mit der Integration von Gender-Aspekten in die Lehre von Mathematik bzw. allgemeiner der MINT-Facher. Weitere Forschungsthemen sind:

  • gendergerechter Mathematikunterricht und die Einbindung dieses Themas in die Lehramtsausbildung
  • mathematische Forschung als sozialer Prozess und mögliche daraus erwachsende Genderaspekte

Vorlesung Frauen in der Geschichte der Mathematik

Publikationen

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@inbook{4fbe65230aac4cb38ac085f66ebbdcf2,
title = "Epilogue: Mathematics—Still a MaleDomain?",
author = "Andrea Blunck",
year = "2020",
language = "Deutsch",
isbn = "978-3-030-47609-0",
pages = "315--319",
editor = "Eva Kaufholz-Soldat and Oswald, {Nicola M.R.}",
booktitle = "Against All Odds. Women's Ways to Mathematical Research Since 1800",
publisher = "Springer Nature Switzerland AG",
address = "Schweiz",

}

@article{b5773e530aeb4e108aa54abb6b8a7e64,
title = "Clifford parallelisms defined by octonions",
abstract = "We define (left and right) Clifford parallelisms on a seven-dimensional projective space algebraically, using an octonion division algebra. Thus, we generalize the two well-known Clifford parallelisms on a three-dimensional projective space, obtained from a quaternion division algebra. We determine (for both the octonion and quaternion case) the automorphism groups of these parallelisms. A geometric description of the parallel classes is given with the help of a hyperbolic quadric in a Baer superspace, obtained from the split octonion algebra over a quadratic extension of the ground field, again generalizing results that are known for the quaternion case. In contrast to the quaternion case, the orbits of the two Clifford parallelisms under the group of direct similitudes of the norm form of the algebra are non-trivial in the octonion case. The two spaces of parallelisms can be seen as the point sets of two point-line geometries, both isomorphic to the seven-dimensional projective space. Together with the original space, we thus have three versions of this projective space. We introduce a triality between them which is closely related to the triality of the polar space of split type D 4.",
keywords = "Clifford parallelism, Composition algebra, Octonion, Projective space, Quaternion, Triality",
author = "Andrea Blunck and Norbert Knarr and Bernhild Stroppel and Stroppel, {Markus J.}",
year = "2018",
month = nov,
day = "1",
doi = "10.1007/s00605-017-1115-1",
language = "English",
volume = "187",
pages = "437--458",
journal = "Monatshefte fur Mathematik",
issn = "0026-9255",
publisher = "Springer-Verlag Wien",
number = "3",

}

@article{0f786cd5728442e1821ec87b2b3df2de,
title = "Transitive groups of similitudes generated by octonions",
abstract = "We study the structure of various groups generated by (left) multiplications in alternative division algebras, and construct epimorphisms onto orthogonal and special orthogonal groups. Throughout, we include the characteristic two case in our treatment.",
keywords = "Loop, Quasigroup, Automorphic loops, Graph In Graph Theory, Labeling, Cycle, Loop, Quasigroup, Automorphic loops, Graph In Graph Theory, Labeling, Cycle",
author = "Andrea Blunck and N. Knarr and B. Stroppel and M.J. Stroppel",
note = "Anzahl Autoren: 4 | Blunck, Andrea| Knarr, Norbert| Stroppel, Bernhild| Stroppel, Markus J.",
year = "2018",
month = nov,
day = "1",
doi = "10.1515/jgth-2018-0018",
language = "English",
volume = "21",
pages = "1001--1050",
journal = "Journal of Group Theory",
issn = "1433-5883",
publisher = "Walter de Gruyter GmbH",
number = "6",

}

@article{91e1a5dfc64247e6ba975441a74551ce,
title = "Nachruf: Walter Benz (1931-2017)",
author = "Andrea Blunck and Kreuzer, {Alexander P.}",
year = "2017",
language = "Deutsch",
volume = "37",
pages = "5--8",
journal = "Mitteilungen der Mathematischen Gesellschaft in Hamburg",
issn = "0340-4358",
publisher = "Europ. Math. Soc.",
number = "7",

}

@book{0862ebd698f44a978c6b7e557c9ac712,
title = "Mathematik und Gender: Frauen in der Mathematikgeschichte - M{\"a}dchen und Mathematikunterricht heute",
author = "Renate Motzer and Andrea Blunck and Nicola Oswald",
year = "2016",
language = "Deutsch",
isbn = "3881207635",
series = "Berichte und Beitr{\"a}ge des Arbeitskreises Frauen und Mathematik",
publisher = "Verlag Franzbecker",

}

@inbook{4238f45558be4247bca65d20569ce614,
title = "Gender competence in mathematics teacher education",
author = "Andrea Blunck and Anina Mischau and Sabine Mehlmann",
year = "2014",
language = "English",
isbn = "978-3-8376-2434-2",
series = "Gender studies ",
publisher = "Transcript Verlag",
pages = "235--258",
editor = "Ernst, {Waltraud } and Horwath, {Ilona }",
booktitle = "Gender in science and technology",
address = "Germany",

}

@article{9d44d6e6b91f44378583abfc8aa80315,
title = "Geometric structures on finite- and infinite-dimensional Grassmannians",
abstract = "In this paper, we study the Grassmannian of n-dimensional subspaces of a 2n-dimensional vector space and its infinite-dimensional analogues. Such a Grassmannian can be endowed with two binary relations (adjacent and distant), with pencils (lines of the Grassmann space) and with so-called Z-reguli. We analyse the interdependencies among these different structures. {\textcopyright} 2012 The Managing Editors.",
keywords = "Projective, Line, Quaternion ring, Decoding, Construction, Polynomials, Distant graph, Grassmann space, Projective matrix space, Grassmann graph, Regulus, Chain geometry, Projective line over a ring, Projective, Line, Quaternion ring, Decoding, Construction, Polynomials",
author = "Andrea Blunck and Hans Havlicek",
year = "2013",
month = oct,
doi = "10.1007/s13366-012-0096-4",
language = "English",
volume = "54",
pages = "533--547",
journal = "Beitr{\"a}ge zur Algebra und Geometrie",
issn = "0138-4821",
publisher = "Springer Nature",
number = "2",

}

@inbook{149a168c2d144b79aefa1ec2bf92a213,
title = "Frauen in der Geschichte der Mathematik: Bericht {\"u}ber eine Lehrveranstaltung",
author = "Andrea Blunck",
year = "2013",
language = "Deutsch",
isbn = "978-3-86388-039-2",
pages = "111--119",
editor = "Hille, {Nicola } and Hartwig, {Meike }",
booktitle = "Gender in der Lehre",
publisher = "Budrich UniPress",

}

@article{ac0c59a2b6dc42378b5f0f9b6cfe6b8e,
title = "Geometries on σ-hermitian matrices",
abstract = "Ring geometry and the geometry of matrices naturally meet at the ring R:= Kn×n of (n×n)-matrices with entries in a field K (not necessarily commutative). Our aim is to strengthen the interaction between these disciplines. Below we sketch some results from either side, even though not in their most general form, but in a way that is tailored to our needs.",
keywords = "Algebra, Octonions, Quantum mechanics, Quaternion, Clifford Analysis, Algebra, Octonions, Quantum mechanics, Quaternion, Clifford Analysis",
author = "Andrea Blunck and H. Havlicek",
note = "Anzahl Autoren: 2 | ",
year = "2012",
doi = "10.1007/s10958-012-1021-y",
language = "English",
volume = "186",
pages = "715--719",
journal = "Journal of mathematical sciences",
issn = "1072-3374",
publisher = "Springer Science and Business Media Deutschland GmbH",
number = "5",

}

@article{089f6305f689496e9867b1e6f416a0cf,
title = "Invertible symmetric 3 × 3 binary matrices and GQ(2, 4)",
abstract = "We reveal an intriguing connection between the set of 27 (disregarding the identity) invertible symmetric 3 x 3 matrices over GF(2) and the points of the generalized quadrangle GQ(2, 4). The 15 matrices with eigenvalue one correspond to a copy of the subquadrangle GQ(2, 2), whereas the 12 matrices without eigenvalues have their geometric counterpart in the associated double-six. The fine details of this correspondence, including the precise algebraic meaning/analogue of collinearity, are furnished by employing the representation of GQ(2, 4) as a quadric in PG(5, 2) of projective index one. An interesting physics application of our findings is also mentioned.",
keywords = "Map, Preserver, Maps preserving, Banach Space, C*-Algebra, Algebra, Map, Preserver, Maps preserving, Banach Space, C*-Algebra, Algebra",
author = "Andrea Blunck and P. L{\'e}vay and M. Saniga and P. Vrana",
note = "Anzahl Autoren: 4 | Blunck, Andrea| Levay, Peter| Saniga, Metod| Vrana, Peter",
year = "2012",
doi = "10.1080/03081087.2011.651725",
language = "English",
volume = "60",
pages = "1143--1154",
journal = "Linear and multilinear algebra",
issn = "0308-1087",
publisher = "Taylor and Francis",
number = "10",

}

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  • seit Sept. 2004: Professorin für Mathematik und Gender Studies, Fachbereich Mathematik der Universität Hamburg
  • Okt. 2002–März 2004: Vertretungsprofessorin für Mathematik und Gender Studies, Fachbereich Mathematik der Universität Hamburg
  • April 2002–Juli 2002: Vertretungsprofessorin für Mathematik, Fachbereich Mathematik der Universität Hamburg
  • Okt. 2001–März 2002: Wissenschaftliche Mitarbeiterin, Fachbereich Mathematik der Universität Hamburg
  • Okt. 2000–Sept. 2001: Vertragsassistentin, Institut für Geometrie der TU Wien
  • März 2000–Okt. 2000: Inhaberin einer Lise-Meitner-Forschungsstelle des Fonds zur Förderung der wissenschaftlichen Forschung, Institut für Geometrie der TU Wien
  • März 1999–Febr. 2000: Lise-Meitner-Forschungsstipendiatin des Fonds zur Förderung der wissenschaftlichen Forschung, Institut für Geometrie der TU Wien
  • Juli 1997: Ernennung zur Privatdozentin, Fachbereich Mathematik der TU Darmstadt
  • Juni 1997: Habilitation für das Fach Mathematik, Fachbereich Mathematik der TU Darmstadt
  • Dez. 1992–Nov. 1998: Wissenschaftliche Assistentin, Fachbereich Mathematik der TU Darmstadt
  • Mai 1990: Promotion in Mathematik, Fachbereich Mathematik der Universität Hamburg
  • Okt. 1989–Nov. 1992: Wissenschaftliche Mitarbeiterin, Fachbereich Mathematik der TU Darmstadt
  • Aug. 1988: Diplom in Mathematik, Fachbereich Mathematik der Universität Hamburg
  • Okt. 1982–Aug. 1988: Studium der Mathematik mit Nebenfach Informatik, Universität Hamburg