---
_id: '16967'
author:
- first_name: Reinhard
full_name: Hochmuth, Reinhard
last_name: Hochmuth
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Niclas
full_name: Schaper, Niclas
last_name: Schaper
- first_name: Christiane
full_name: Kuklinski, Christiane
last_name: Kuklinski
- first_name: Elisa
full_name: Lankeit, Elisa
last_name: Lankeit
- first_name: Elena
full_name: Leis, Elena
last_name: Leis
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: Mirko
full_name: Schürmann, Mirko
id: '59707'
last_name: Schürmann
orcid: 0000-0003-2646-085X
citation:
ama: 'Hochmuth R, Biehler R, Schaper N, et al. Wirkung Und Gelingensbedingungen
von Unterstützungsmaßnahmen Für Mathmatikbezogenes Lernen in Der Studieneingangsphase :
Schlussbericht: Teilprojekt A Der Leibniz Universität Hannover, Teilprojekte B
Und C Der Universität Paderborn: Berichtszeitraum: 01.03.2015-31.08.2018.;
2018. doi:10.2314/KXP:1689534117'
apa: 'Hochmuth, R., Biehler, R., Schaper, N., Kuklinski, C., Lankeit, E., Leis,
E., Liebendörfer, M., & Schürmann, M. (2018). Wirkung und Gelingensbedingungen
von Unterstützungsmaßnahmen für mathmatikbezogenes Lernen in der Studieneingangsphase :
Schlussbericht: Teilprojekt A der Leibniz Universität Hannover, Teilprojekte B
und C der Universität Paderborn: Berichtszeitraum: 01.03.2015-31.08.2018.
https://doi.org/10.2314/KXP:1689534117'
bibtex: '@book{Hochmuth_Biehler_Schaper_Kuklinski_Lankeit_Leis_Liebendörfer_Schürmann_2018,
place={Hannover}, title={Wirkung und Gelingensbedingungen von Unterstützungsmaßnahmen
für mathmatikbezogenes Lernen in der Studieneingangsphase : Schlussbericht: Teilprojekt
A der Leibniz Universität Hannover, Teilprojekte B und C der Universität Paderborn:
Berichtszeitraum: 01.03.2015-31.08.2018}, DOI={10.2314/KXP:1689534117},
author={Hochmuth, Reinhard and Biehler, Rolf and Schaper, Niclas and Kuklinski,
Christiane and Lankeit, Elisa and Leis, Elena and Liebendörfer, Michael and Schürmann,
Mirko}, year={2018} }'
chicago: 'Hochmuth, Reinhard, Rolf Biehler, Niclas Schaper, Christiane Kuklinski,
Elisa Lankeit, Elena Leis, Michael Liebendörfer, and Mirko Schürmann. Wirkung
Und Gelingensbedingungen von Unterstützungsmaßnahmen Für Mathmatikbezogenes Lernen
in Der Studieneingangsphase : Schlussbericht: Teilprojekt A Der Leibniz Universität
Hannover, Teilprojekte B Und C Der Universität Paderborn: Berichtszeitraum: 01.03.2015-31.08.2018.
Hannover, 2018. https://doi.org/10.2314/KXP:1689534117.'
ieee: 'R. Hochmuth et al., Wirkung und Gelingensbedingungen von Unterstützungsmaßnahmen
für mathmatikbezogenes Lernen in der Studieneingangsphase : Schlussbericht: Teilprojekt
A der Leibniz Universität Hannover, Teilprojekte B und C der Universität Paderborn:
Berichtszeitraum: 01.03.2015-31.08.2018. Hannover, 2018.'
mla: 'Hochmuth, Reinhard, et al. Wirkung Und Gelingensbedingungen von Unterstützungsmaßnahmen
Für Mathmatikbezogenes Lernen in Der Studieneingangsphase : Schlussbericht: Teilprojekt
A Der Leibniz Universität Hannover, Teilprojekte B Und C Der Universität Paderborn:
Berichtszeitraum: 01.03.2015-31.08.2018. 2018, doi:10.2314/KXP:1689534117.'
short: 'R. Hochmuth, R. Biehler, N. Schaper, C. Kuklinski, E. Lankeit, E. Leis,
M. Liebendörfer, M. Schürmann, Wirkung Und Gelingensbedingungen von Unterstützungsmaßnahmen
Für Mathmatikbezogenes Lernen in Der Studieneingangsphase : Schlussbericht: Teilprojekt
A Der Leibniz Universität Hannover, Teilprojekte B Und C Der Universität Paderborn:
Berichtszeitraum: 01.03.2015-31.08.2018, Hannover, 2018.'
date_created: 2020-05-16T07:43:04Z
date_updated: 2023-01-17T23:43:24Z
department:
- _id: '10'
- _id: '423'
doi: 10.2314/KXP:1689534117
language:
- iso: eng
place: Hannover
status: public
title: 'Wirkung und Gelingensbedingungen von Unterstützungsmaßnahmen für mathmatikbezogenes
Lernen in der Studieneingangsphase : Schlussbericht: Teilprojekt A der Leibniz Universität
Hannover, Teilprojekte B und C der Universität Paderborn: Berichtszeitraum: 01.03.2015-31.08.2018'
type: report
user_id: '14931'
year: '2018'
...
---
_id: '37661'
alternative_title:
- Beta Distributions and Sonine Integrals
author:
- first_name: Margit
full_name: Rösler, Margit
id: '37390'
last_name: Rösler
- first_name: Michael
full_name: Voit, Michael
last_name: Voit
citation:
ama: Rösler M, Voit M. Beta Distributions and Sonine Integrals for Bessel Functions
on Symmetric Cones. Studies in Applied Mathematics. 2018;141(4):474-500.
doi:10.1111/sapm.12217
apa: Rösler, M., & Voit, M. (2018). Beta Distributions and Sonine Integrals
for Bessel Functions on Symmetric Cones. Studies in Applied Mathematics,
141(4), 474–500. https://doi.org/10.1111/sapm.12217
bibtex: '@article{Rösler_Voit_2018, title={Beta Distributions and Sonine Integrals
for Bessel Functions on Symmetric Cones}, volume={141}, DOI={10.1111/sapm.12217},
number={4}, journal={Studies in Applied Mathematics}, publisher={Wiley}, author={Rösler,
Margit and Voit, Michael}, year={2018}, pages={474–500} }'
chicago: 'Rösler, Margit, and Michael Voit. “Beta Distributions and Sonine Integrals
for Bessel Functions on Symmetric Cones.” Studies in Applied Mathematics
141, no. 4 (2018): 474–500. https://doi.org/10.1111/sapm.12217.'
ieee: 'M. Rösler and M. Voit, “Beta Distributions and Sonine Integrals for Bessel
Functions on Symmetric Cones,” Studies in Applied Mathematics, vol. 141,
no. 4, pp. 474–500, 2018, doi: 10.1111/sapm.12217.'
mla: Rösler, Margit, and Michael Voit. “Beta Distributions and Sonine Integrals
for Bessel Functions on Symmetric Cones.” Studies in Applied Mathematics,
vol. 141, no. 4, Wiley, 2018, pp. 474–500, doi:10.1111/sapm.12217.
short: M. Rösler, M. Voit, Studies in Applied Mathematics 141 (2018) 474–500.
date_created: 2023-01-20T09:24:36Z
date_updated: 2023-01-24T22:15:51Z
department:
- _id: '555'
doi: 10.1111/sapm.12217
intvolume: ' 141'
issue: '4'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 474-500
publication: Studies in Applied Mathematics
publication_identifier:
issn:
- 0022-2526
publication_status: published
publisher: Wiley
status: public
title: Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones
type: journal_article
user_id: '93826'
volume: 141
year: '2018'
...
---
_id: '37662'
author:
- first_name: Margit
full_name: Rösler, Margit
id: '37390'
last_name: Rösler
- first_name: Piotr
full_name: Graczyk, Piotr
last_name: Graczyk
- first_name: Tomasz
full_name: Luks, Tomasz
last_name: Luks
citation:
ama: Rösler M, Graczyk P, Luks T. On the Green Function and Poisson Integrals of
the Dunkl Laplacian. Potential Analysis. 2018;48(3):337-360. doi:10.1007/s11118-017-9638-6
apa: Rösler, M., Graczyk, P., & Luks, T. (2018). On the Green Function and Poisson
Integrals of the Dunkl Laplacian. Potential Analysis, 48(3), 337–360.
https://doi.org/10.1007/s11118-017-9638-6
bibtex: '@article{Rösler_Graczyk_Luks_2018, title={On the Green Function and Poisson
Integrals of the Dunkl Laplacian}, volume={48}, DOI={10.1007/s11118-017-9638-6},
number={3}, journal={Potential Analysis}, publisher={Springer Science and Business
Media LLC}, author={Rösler, Margit and Graczyk, Piotr and Luks, Tomasz}, year={2018},
pages={337–360} }'
chicago: 'Rösler, Margit, Piotr Graczyk, and Tomasz Luks. “On the Green Function
and Poisson Integrals of the Dunkl Laplacian.” Potential Analysis 48, no.
3 (2018): 337–60. https://doi.org/10.1007/s11118-017-9638-6.'
ieee: 'M. Rösler, P. Graczyk, and T. Luks, “On the Green Function and Poisson Integrals
of the Dunkl Laplacian,” Potential Analysis, vol. 48, no. 3, pp. 337–360,
2018, doi: 10.1007/s11118-017-9638-6.'
mla: Rösler, Margit, et al. “On the Green Function and Poisson Integrals of the
Dunkl Laplacian.” Potential Analysis, vol. 48, no. 3, Springer Science
and Business Media LLC, 2018, pp. 337–60, doi:10.1007/s11118-017-9638-6.
short: M. Rösler, P. Graczyk, T. Luks, Potential Analysis 48 (2018) 337–360.
date_created: 2023-01-20T09:25:41Z
date_updated: 2023-01-24T22:16:02Z
department:
- _id: '555'
doi: 10.1007/s11118-017-9638-6
intvolume: ' 48'
issue: '3'
keyword:
- Analysis
language:
- iso: eng
page: 337-360
publication: Potential Analysis
publication_identifier:
issn:
- 0926-2601
- 1572-929X
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: On the Green Function and Poisson Integrals of the Dunkl Laplacian
type: journal_article
user_id: '37390'
volume: 48
year: '2018'
...
---
_id: '40050'
author:
- first_name: Boris
full_name: Baeumer, Boris
last_name: Baeumer
- first_name: Tomasz
full_name: Luks, Tomasz
id: '58312'
last_name: Luks
- first_name: Mark M.
full_name: Meerschaert, Mark M.
last_name: Meerschaert
citation:
ama: Baeumer B, Luks T, Meerschaert MM. Space‐time fractional Dirichlet problems.
Mathematische Nachrichten. 2018;291(17-18):2516-2535. doi:10.1002/mana.201700111
apa: Baeumer, B., Luks, T., & Meerschaert, M. M. (2018). Space‐time fractional
Dirichlet problems. Mathematische Nachrichten, 291(17–18), 2516–2535.
https://doi.org/10.1002/mana.201700111
bibtex: '@article{Baeumer_Luks_Meerschaert_2018, title={Space‐time fractional Dirichlet
problems}, volume={291}, DOI={10.1002/mana.201700111},
number={17–18}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Baeumer,
Boris and Luks, Tomasz and Meerschaert, Mark M.}, year={2018}, pages={2516–2535}
}'
chicago: 'Baeumer, Boris, Tomasz Luks, and Mark M. Meerschaert. “Space‐time Fractional
Dirichlet Problems.” Mathematische Nachrichten 291, no. 17–18 (2018): 2516–35.
https://doi.org/10.1002/mana.201700111.'
ieee: 'B. Baeumer, T. Luks, and M. M. Meerschaert, “Space‐time fractional Dirichlet
problems,” Mathematische Nachrichten, vol. 291, no. 17–18, pp. 2516–2535,
2018, doi: 10.1002/mana.201700111.'
mla: Baeumer, Boris, et al. “Space‐time Fractional Dirichlet Problems.” Mathematische
Nachrichten, vol. 291, no. 17–18, Wiley, 2018, pp. 2516–35, doi:10.1002/mana.201700111.
short: B. Baeumer, T. Luks, M.M. Meerschaert, Mathematische Nachrichten 291 (2018)
2516–2535.
date_created: 2023-01-25T15:11:01Z
date_updated: 2023-01-26T17:19:39Z
department:
- _id: '555'
doi: 10.1002/mana.201700111
intvolume: ' 291'
issue: 17-18
keyword:
- General Mathematics
language:
- iso: eng
page: 2516-2535
publication: Mathematische Nachrichten
publication_identifier:
issn:
- 0025-584X
- 1522-2616
publication_status: published
publisher: Wiley
status: public
title: Space‐time fractional Dirichlet problems
type: journal_article
user_id: '58312'
volume: 291
year: '2018'
...
---
_id: '34843'
abstract:
- lang: eng
text: "A polynomial time algorithm to find generators of the lattice of all subfields
of a given number field was given in van Hoeij et al. (2013).\r\n\r\nThis article
reports on a massive speedup of this algorithm. This is primary achieved by our
new concept of Galois-generating subfields. In general this is a very small set
of subfields that determine all other subfields in a group-theoretic way. We compute
them by targeted calls to the method from van Hoeij et al. (2013). For an early
termination of these calls, we give a list of criteria that imply that further
calls will not result in additional subfields.\r\n\r\nFinally, we explain how
we use subfields to get a good starting group for the computation of Galois groups."
author:
- first_name: Andreas-Stephan
full_name: Elsenhans, Andreas-Stephan
last_name: Elsenhans
- first_name: Jürgen
full_name: Klüners, Jürgen
id: '21202'
last_name: Klüners
citation:
ama: Elsenhans A-S, Klüners J. Computing subfields of number fields and applications
to Galois group computations. Journal of Symbolic Computation. 2018;93:1-20.
doi:10.1016/j.jsc.2018.04.013
apa: Elsenhans, A.-S., & Klüners, J. (2018). Computing subfields of number fields
and applications to Galois group computations. Journal of Symbolic Computation,
93, 1–20. https://doi.org/10.1016/j.jsc.2018.04.013
bibtex: '@article{Elsenhans_Klüners_2018, title={Computing subfields of number fields
and applications to Galois group computations}, volume={93}, DOI={10.1016/j.jsc.2018.04.013},
journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Elsenhans,
Andreas-Stephan and Klüners, Jürgen}, year={2018}, pages={1–20} }'
chicago: 'Elsenhans, Andreas-Stephan, and Jürgen Klüners. “Computing Subfields of
Number Fields and Applications to Galois Group Computations.” Journal of Symbolic
Computation 93 (2018): 1–20. https://doi.org/10.1016/j.jsc.2018.04.013.'
ieee: 'A.-S. Elsenhans and J. Klüners, “Computing subfields of number fields and
applications to Galois group computations,” Journal of Symbolic Computation,
vol. 93, pp. 1–20, 2018, doi: 10.1016/j.jsc.2018.04.013.'
mla: Elsenhans, Andreas-Stephan, and Jürgen Klüners. “Computing Subfields of Number
Fields and Applications to Galois Group Computations.” Journal of Symbolic
Computation, vol. 93, Elsevier BV, 2018, pp. 1–20, doi:10.1016/j.jsc.2018.04.013.
short: A.-S. Elsenhans, J. Klüners, Journal of Symbolic Computation 93 (2018) 1–20.
date_created: 2022-12-22T10:52:18Z
date_updated: 2023-03-06T09:05:51Z
department:
- _id: '102'
doi: 10.1016/j.jsc.2018.04.013
external_id:
arxiv:
- '1610.06837 '
intvolume: ' 93'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 1-20
publication: Journal of Symbolic Computation
publication_identifier:
issn:
- 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Computing subfields of number fields and applications to Galois group computations
type: journal_article
user_id: '93826'
volume: 93
year: '2018'
...
---
_id: '42788'
abstract:
- lang: eng
text: We classify all one-class genera of admissible lattice chains of length at
least 2 in hermitian spaces over number fields. If L is a lattice in the chain
and p the prime ideal dividing the index of the lattices in the chain, then the
{p}-arithmetic group Aut(L{p}) acts chamber transitively on the corresponding
Bruhat-Tits building. So our classification provides a step forward to a complete
classification of these chamber transitive groups which has been announced 1987
(without a detailed proof) by Kantor, Liebler and Tits. In fact we find all their
groups over number fields and one additional building with a discrete chamber
transitive group.
author:
- first_name: Markus
full_name: Kirschmer, Markus
id: '82258'
last_name: Kirschmer
- first_name: Gabriele
full_name: Nebe, Gabriele
last_name: Nebe
citation:
ama: 'Kirschmer M, Nebe G. One Class Genera of Lattice Chains Over Number Fields.
In: Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory.
Springer International Publishing; 2018. doi:10.1007/978-3-319-70566-8_22'
apa: Kirschmer, M., & Nebe, G. (2018). One Class Genera of Lattice Chains Over
Number Fields. In Algorithmic and Experimental Methods in Algebra, Geometry,
and Number Theory. Springer International Publishing. https://doi.org/10.1007/978-3-319-70566-8_22
bibtex: '@inbook{Kirschmer_Nebe_2018, place={Cham}, title={One Class Genera of Lattice
Chains Over Number Fields}, DOI={10.1007/978-3-319-70566-8_22},
booktitle={Algorithmic and Experimental Methods in Algebra, Geometry, and Number
Theory}, publisher={Springer International Publishing}, author={Kirschmer, Markus
and Nebe, Gabriele}, year={2018} }'
chicago: 'Kirschmer, Markus, and Gabriele Nebe. “One Class Genera of Lattice Chains
Over Number Fields.” In Algorithmic and Experimental Methods in Algebra, Geometry,
and Number Theory. Cham: Springer International Publishing, 2018. https://doi.org/10.1007/978-3-319-70566-8_22.'
ieee: 'M. Kirschmer and G. Nebe, “One Class Genera of Lattice Chains Over Number
Fields,” in Algorithmic and Experimental Methods in Algebra, Geometry, and
Number Theory, Cham: Springer International Publishing, 2018.'
mla: Kirschmer, Markus, and Gabriele Nebe. “One Class Genera of Lattice Chains Over
Number Fields.” Algorithmic and Experimental Methods in Algebra, Geometry,
and Number Theory, Springer International Publishing, 2018, doi:10.1007/978-3-319-70566-8_22.
short: 'M. Kirschmer, G. Nebe, in: Algorithmic and Experimental Methods in Algebra,
Geometry, and Number Theory, Springer International Publishing, Cham, 2018.'
date_created: 2023-03-07T08:23:48Z
date_updated: 2023-04-04T09:08:19Z
department:
- _id: '102'
doi: 10.1007/978-3-319-70566-8_22
extern: '1'
language:
- iso: eng
place: Cham
publication: Algorithmic and Experimental Methods in Algebra, Geometry, and Number
Theory
publication_identifier:
isbn:
- '9783319705651'
- '9783319705668'
publication_status: published
publisher: Springer International Publishing
status: public
title: One Class Genera of Lattice Chains Over Number Fields
type: book_chapter
user_id: '93826'
year: '2018'
...
---
_id: '42790'
abstract:
- lang: eng
text: We show that exceptional algebraic groups over number fields do not admit
one-class genera of parahoric groups, except in the case G₂ . For the group G₂,
we enumerate all such one-class genera for the usual seven-dimensional representation.
author:
- first_name: Markus
full_name: Kirschmer, Markus
id: '82258'
last_name: Kirschmer
citation:
ama: Kirschmer M. One-class genera of exceptional groups over number fields. Journal
de Théorie des Nombres de Bordeaux. 2018;30(3):847-857. doi:10.5802/jtnb.1052
apa: Kirschmer, M. (2018). One-class genera of exceptional groups over number fields.
Journal de Théorie Des Nombres de Bordeaux, 30(3), 847–857. https://doi.org/10.5802/jtnb.1052
bibtex: '@article{Kirschmer_2018, title={One-class genera of exceptional groups
over number fields}, volume={30}, DOI={10.5802/jtnb.1052},
number={3}, journal={Journal de Théorie des Nombres de Bordeaux}, publisher={Cellule
MathDoc/CEDRAM}, author={Kirschmer, Markus}, year={2018}, pages={847–857} }'
chicago: 'Kirschmer, Markus. “One-Class Genera of Exceptional Groups over Number
Fields.” Journal de Théorie Des Nombres de Bordeaux 30, no. 3 (2018): 847–57.
https://doi.org/10.5802/jtnb.1052.'
ieee: 'M. Kirschmer, “One-class genera of exceptional groups over number fields,”
Journal de Théorie des Nombres de Bordeaux, vol. 30, no. 3, pp. 847–857,
2018, doi: 10.5802/jtnb.1052.'
mla: Kirschmer, Markus. “One-Class Genera of Exceptional Groups over Number Fields.”
Journal de Théorie Des Nombres de Bordeaux, vol. 30, no. 3, Cellule MathDoc/CEDRAM,
2018, pp. 847–57, doi:10.5802/jtnb.1052.
short: M. Kirschmer, Journal de Théorie Des Nombres de Bordeaux 30 (2018) 847–857.
date_created: 2023-03-07T08:27:36Z
date_updated: 2023-04-04T09:07:32Z
department:
- _id: '102'
doi: 10.5802/jtnb.1052
extern: '1'
intvolume: ' 30'
issue: '3'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 847-857
publication: Journal de Théorie des Nombres de Bordeaux
publication_identifier:
issn:
- 1246-7405
- 2118-8572
publication_status: published
publisher: Cellule MathDoc/CEDRAM
status: public
title: One-class genera of exceptional groups over number fields
type: journal_article
user_id: '93826'
volume: 30
year: '2018'
...
---
_id: '44333'
abstract:
- lang: eng
text: This work deals with an algebro–geometric theory of solutions of the classical
Yang–Baxter equation based on torsion free coherent sheaves of Lie algebras on
Weierstraß cubic curves.
author:
- first_name: Igor
full_name: Burban, Igor
id: '72064'
last_name: Burban
- first_name: L.
full_name: Galinat, L.
last_name: Galinat
citation:
ama: Burban I, Galinat L. Torsion free sheaves on Weierstraß cubic curves and the
classical Yang-Baxter equation. Communications in Mathematical Physics.
2018;364(1):123–169. doi:10.1007/s00220-018-3172-2
apa: Burban, I., & Galinat, L. (2018). Torsion free sheaves on Weierstraß cubic
curves and the classical Yang-Baxter equation. Communications in Mathematical
Physics, 364(1), 123–169. https://doi.org/10.1007/s00220-018-3172-2
bibtex: '@article{Burban_Galinat_2018, title={Torsion free sheaves on Weierstraß
cubic curves and the classical Yang-Baxter equation}, volume={364}, DOI={10.1007/s00220-018-3172-2},
number={1}, journal={Communications in Mathematical Physics}, author={Burban,
Igor and Galinat, L.}, year={2018}, pages={123–169} }'
chicago: 'Burban, Igor, and L. Galinat. “Torsion Free Sheaves on Weierstraß Cubic
Curves and the Classical Yang-Baxter Equation.” Communications in Mathematical
Physics 364, no. 1 (2018): 123–169. https://doi.org/10.1007/s00220-018-3172-2.'
ieee: 'I. Burban and L. Galinat, “Torsion free sheaves on Weierstraß cubic curves
and the classical Yang-Baxter equation,” Communications in Mathematical Physics,
vol. 364, no. 1, pp. 123–169, 2018, doi: 10.1007/s00220-018-3172-2.'
mla: Burban, Igor, and L. Galinat. “Torsion Free Sheaves on Weierstraß Cubic Curves
and the Classical Yang-Baxter Equation.” Communications in Mathematical Physics,
vol. 364, no. 1, 2018, pp. 123–169, doi:10.1007/s00220-018-3172-2.
short: I. Burban, L. Galinat, Communications in Mathematical Physics 364 (2018)
123–169.
date_created: 2023-05-02T18:50:35Z
date_updated: 2023-05-07T01:34:43Z
department:
- _id: '602'
doi: 10.1007/s00220-018-3172-2
intvolume: ' 364'
issue: '1'
language:
- iso: eng
page: 123–169
publication: Communications in Mathematical Physics
publication_status: published
status: public
title: Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter
equation
type: journal_article
user_id: '49063'
volume: 364
year: '2018'
...
---
_id: '44538'
author:
- first_name: Igor
full_name: Burban, Igor
id: '72064'
last_name: Burban
- first_name: Yu.
full_name: Drozd, Yu.
last_name: Drozd
citation:
ama: Burban I, Drozd Yu. Non-commutative nodal curves and derived tame algebras.
Published online 2018.
apa: Burban, I., & Drozd, Yu. (2018). Non-commutative nodal curves and derived
tame algebras.
bibtex: '@article{Burban_Drozd_2018, title={Non-commutative nodal curves and derived
tame algebras}, author={Burban, Igor and Drozd, Yu.}, year={2018} }'
chicago: Burban, Igor, and Yu. Drozd. “Non-Commutative Nodal Curves and Derived
Tame Algebras,” 2018.
ieee: I. Burban and Yu. Drozd, “Non-commutative nodal curves and derived tame algebras.”
2018.
mla: Burban, Igor, and Yu. Drozd. Non-Commutative Nodal Curves and Derived Tame
Algebras. 2018.
short: I. Burban, Yu. Drozd, (2018).
date_created: 2023-05-07T00:56:31Z
date_updated: 2023-05-07T01:36:42Z
department:
- _id: '602'
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.48550/arXiv.1805.05174
publication_status: published
status: public
title: Non-commutative nodal curves and derived tame algebras
type: preprint
user_id: '49063'
year: '2018'
...
---
_id: '44332'
article_number: 1850064-46 pp
author:
- first_name: Igor
full_name: Burban, Igor
id: '72064'
last_name: Burban
- first_name: A.
full_name: Zheglov, A.
last_name: Zheglov
citation:
ama: Burban I, Zheglov A. Fourier-Mukai transform on Weierstraß cubics and commuting
differential operators. International Journal of Mathematics. 2018;29(10).
apa: Burban, I., & Zheglov, A. (2018). Fourier-Mukai transform on Weierstraß
cubics and commuting differential operators. International Journal of Mathematics,
29(10), Article 1850064- 46 pp.
bibtex: '@article{Burban_Zheglov_2018, title={Fourier-Mukai transform on Weierstraß
cubics and commuting differential operators}, volume={29}, number={101850064–46
pp}, journal={International Journal of Mathematics}, author={Burban, Igor and
Zheglov, A.}, year={2018} }'
chicago: Burban, Igor, and A. Zheglov. “Fourier-Mukai Transform on Weierstraß Cubics
and Commuting Differential Operators.” International Journal of Mathematics
29, no. 10 (2018).
ieee: I. Burban and A. Zheglov, “Fourier-Mukai transform on Weierstraß cubics and
commuting differential operators,” International Journal of Mathematics,
vol. 29, no. 10, Art. no. 1850064–46 pp, 2018.
mla: Burban, Igor, and A. Zheglov. “Fourier-Mukai Transform on Weierstraß Cubics
and Commuting Differential Operators.” International Journal of Mathematics,
vol. 29, no. 10, 1850064-46 pp, 2018.
short: I. Burban, A. Zheglov, International Journal of Mathematics 29 (2018).
date_created: 2023-05-02T18:49:12Z
date_updated: 2023-05-07T01:41:27Z
department:
- _id: '602'
intvolume: ' 29'
issue: '10'
language:
- iso: eng
publication: International Journal of Mathematics
publication_status: published
status: public
title: Fourier-Mukai transform on Weierstraß cubics and commuting differential operators
type: journal_article
user_id: '49063'
volume: 29
year: '2018'
...
---
_id: '45394'
author:
- first_name: Jennifer
full_name: Dröse, Jennifer
id: '85820'
last_name: Dröse
- first_name: Susanne
full_name: Prediger, Susanne
last_name: Prediger
- first_name: A.
full_name: Marcus, A.
last_name: Marcus
citation:
ama: Dröse J, Prediger S, Marcus A. Strategien zum Verstehen von Textaufgaben
– Fach- und sprachintegriertes Unterrichtsmaterial in Basis- und Regelfassung.;
2018.
apa: Dröse, J., Prediger, S., & Marcus, A. (2018). Strategien zum Verstehen
von Textaufgaben – Fach- und sprachintegriertes Unterrichtsmaterial in Basis-
und Regelfassung.
bibtex: '@book{Dröse_Prediger_Marcus_2018, title={Strategien zum Verstehen von Textaufgaben
– Fach- und sprachintegriertes Unterrichtsmaterial in Basis- und Regelfassung},
author={Dröse, Jennifer and Prediger, Susanne and Marcus, A.}, year={2018} }'
chicago: Dröse, Jennifer, Susanne Prediger, and A. Marcus. Strategien zum Verstehen
von Textaufgaben – Fach- und sprachintegriertes Unterrichtsmaterial in Basis-
und Regelfassung, 2018.
ieee: J. Dröse, S. Prediger, and A. Marcus, Strategien zum Verstehen von Textaufgaben
– Fach- und sprachintegriertes Unterrichtsmaterial in Basis- und Regelfassung.
2018.
mla: Dröse, Jennifer, et al. Strategien zum Verstehen von Textaufgaben – Fach-
und sprachintegriertes Unterrichtsmaterial in Basis- und Regelfassung. 2018.
short: J. Dröse, S. Prediger, A. Marcus, Strategien zum Verstehen von Textaufgaben
– Fach- und sprachintegriertes Unterrichtsmaterial in Basis- und Regelfassung,
2018.
date_created: 2023-05-31T08:33:43Z
date_updated: 2023-05-31T08:34:03Z
department:
- _id: '98'
extern: '1'
language:
- iso: ger
status: public
title: Strategien zum Verstehen von Textaufgaben – Fach- und sprachintegriertes Unterrichtsmaterial
in Basis- und Regelfassung
type: misc
user_id: '21240'
year: '2018'
...
---
_id: '6571'
author:
- first_name: Benjamin
full_name: Jurgelucks, Benjamin
last_name: Jurgelucks
- first_name: Leander
full_name: Claes, Leander
id: '11829'
last_name: Claes
orcid: 0000-0002-4393-268X
- first_name: Andrea
full_name: Walther, Andrea
last_name: Walther
- first_name: Bernd
full_name: Henning, Bernd
id: '213'
last_name: Henning
citation:
ama: Jurgelucks B, Claes L, Walther A, Henning B. Optimization of triple-ring electrodes
on piezoceramic transducers using algorithmic differentiation. Optimization
Methods and Software. 2018;33(4-6):868--888. doi:10.1080/10556788.2018.1435652
apa: Jurgelucks, B., Claes, L., Walther, A., & Henning, B. (2018). Optimization
of triple-ring electrodes on piezoceramic transducers using algorithmic differentiation.
Optimization Methods and Software, 33(4–6), 868--888. https://doi.org/10.1080/10556788.2018.1435652
bibtex: '@article{Jurgelucks_Claes_Walther_Henning_2018, title={Optimization of
triple-ring electrodes on piezoceramic transducers using algorithmic differentiation},
volume={33}, DOI={10.1080/10556788.2018.1435652},
number={4–6}, journal={Optimization Methods and Software}, publisher={Taylor and
Francis Ltd.}, author={Jurgelucks, Benjamin and Claes, Leander and Walther, Andrea
and Henning, Bernd}, year={2018}, pages={868--888} }'
chicago: 'Jurgelucks, Benjamin, Leander Claes, Andrea Walther, and Bernd Henning.
“Optimization of Triple-Ring Electrodes on Piezoceramic Transducers Using Algorithmic
Differentiation.” Optimization Methods and Software 33, no. 4–6 (2018):
868--888. https://doi.org/10.1080/10556788.2018.1435652.'
ieee: 'B. Jurgelucks, L. Claes, A. Walther, and B. Henning, “Optimization of triple-ring
electrodes on piezoceramic transducers using algorithmic differentiation,” Optimization
Methods and Software, vol. 33, no. 4–6, pp. 868--888, 2018, doi: 10.1080/10556788.2018.1435652.'
mla: Jurgelucks, Benjamin, et al. “Optimization of Triple-Ring Electrodes on Piezoceramic
Transducers Using Algorithmic Differentiation.” Optimization Methods and Software,
vol. 33, no. 4–6, Taylor and Francis Ltd., 2018, pp. 868--888, doi:10.1080/10556788.2018.1435652.
short: B. Jurgelucks, L. Claes, A. Walther, B. Henning, Optimization Methods and
Software 33 (2018) 868--888.
date_created: 2019-01-09T14:37:20Z
date_updated: 2023-06-13T08:06:44Z
department:
- _id: '49'
- _id: '104'
doi: 10.1080/10556788.2018.1435652
intvolume: ' 33'
issue: 4-6
language:
- iso: eng
page: 868--888
project:
- _id: '90'
name: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums
publication: Optimization Methods and Software
publication_identifier:
issn:
- 1055-6788
publisher: Taylor and Francis Ltd.
quality_controlled: '1'
status: public
title: Optimization of triple-ring electrodes on piezoceramic transducers using algorithmic
differentiation
type: journal_article
user_id: '11829'
volume: 33
year: '2018'
...
---
_id: '45680'
author:
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: E.
full_name: Unterhauser, E.
last_name: Unterhauser
- first_name: H.
full_name: Gasteiger, H.
last_name: Gasteiger
citation:
ama: 'Bruns J, Unterhauser E, Gasteiger H. Entwicklung des Begriffsverständnisses
zu Vierecksfiguren in der Grundschule – Erste Ergebnisse aus dem Projekt BegriV.
In: Fachgruppe Didaktik der Mathematik der Universität Paderborn, ed. Beiträge
zum Mathematikunterricht. WTM-Verlag; 2018:377–380.'
apa: Bruns, J., Unterhauser, E., & Gasteiger, H. (2018). Entwicklung des Begriffsverständnisses
zu Vierecksfiguren in der Grundschule – Erste Ergebnisse aus dem Projekt BegriV.
In Fachgruppe Didaktik der Mathematik der Universität Paderborn (Ed.), Beiträge
zum Mathematikunterricht (pp. 377–380). WTM-Verlag.
bibtex: '@inproceedings{Bruns_Unterhauser_Gasteiger_2018, place={Münster}, title={Entwicklung
des Begriffsverständnisses zu Vierecksfiguren in der Grundschule – Erste Ergebnisse
aus dem Projekt BegriV}, booktitle={Beiträge zum Mathematikunterricht}, publisher={WTM-Verlag},
author={Bruns, Julia and Unterhauser, E. and Gasteiger, H.}, editor={Fachgruppe
Didaktik der Mathematik der Universität Paderborn}, year={2018}, pages={377–380}
}'
chicago: 'Bruns, Julia, E. Unterhauser, and H. Gasteiger. “Entwicklung des Begriffsverständnisses
zu Vierecksfiguren in der Grundschule – Erste Ergebnisse aus dem Projekt BegriV.”
In Beiträge zum Mathematikunterricht, edited by Fachgruppe Didaktik der
Mathematik der Universität Paderborn, 377–380. Münster: WTM-Verlag, 2018.'
ieee: J. Bruns, E. Unterhauser, and H. Gasteiger, “Entwicklung des Begriffsverständnisses
zu Vierecksfiguren in der Grundschule – Erste Ergebnisse aus dem Projekt BegriV,”
in Beiträge zum Mathematikunterricht, 2018, pp. 377–380.
mla: Bruns, Julia, et al. “Entwicklung des Begriffsverständnisses zu Vierecksfiguren
in der Grundschule – Erste Ergebnisse aus dem Projekt BegriV.” Beiträge zum
Mathematikunterricht, edited by Fachgruppe Didaktik der Mathematik der Universität
Paderborn, WTM-Verlag, 2018, pp. 377–380.
short: 'J. Bruns, E. Unterhauser, H. Gasteiger, in: Fachgruppe Didaktik der Mathematik
der Universität Paderborn (Ed.), Beiträge zum Mathematikunterricht, WTM-Verlag,
Münster, 2018, pp. 377–380.'
corporate_editor:
- Fachgruppe Didaktik der Mathematik der Universität Paderborn
date_created: 2023-06-20T18:29:20Z
date_updated: 2023-06-20T18:29:24Z
department:
- _id: '97'
- _id: '611'
language:
- iso: ger
page: 377–380
place: Münster
publication: Beiträge zum Mathematikunterricht
publication_status: published
publisher: WTM-Verlag
status: public
title: Entwicklung des Begriffsverständnisses zu Vierecksfiguren in der Grundschule
– Erste Ergebnisse aus dem Projekt BegriV
type: conference
user_id: '49063'
year: '2018'
...
---
_id: '45690'
author:
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: H.
full_name: Gasteiger, H.
last_name: Gasteiger
citation:
ama: Bruns J, Gasteiger H. Gemeinsame Arbeitsphasen produktiv nutzen – verschiedene
Methoden kooperativen Lernens im Mathematikunterricht der Grundschule. mathematik
lehren. 2018;205:10–13.
apa: Bruns, J., & Gasteiger, H. (2018). Gemeinsame Arbeitsphasen produktiv nutzen
– verschiedene Methoden kooperativen Lernens im Mathematikunterricht der Grundschule.
mathematik lehren, 205, 10–13.
bibtex: '@article{Bruns_Gasteiger_2018, title={Gemeinsame Arbeitsphasen produktiv
nutzen – verschiedene Methoden kooperativen Lernens im Mathematikunterricht der
Grundschule}, volume={205}, journal={mathematik lehren}, author={Bruns, Julia
and Gasteiger, H.}, year={2018}, pages={10–13} }'
chicago: 'Bruns, Julia, and H. Gasteiger. “Gemeinsame Arbeitsphasen produktiv nutzen
– verschiedene Methoden kooperativen Lernens im Mathematikunterricht der Grundschule.”
mathematik lehren 205 (2018): 10–13.'
ieee: J. Bruns and H. Gasteiger, “Gemeinsame Arbeitsphasen produktiv nutzen – verschiedene
Methoden kooperativen Lernens im Mathematikunterricht der Grundschule,” mathematik
lehren, vol. 205, pp. 10–13, 2018.
mla: Bruns, Julia, and H. Gasteiger. “Gemeinsame Arbeitsphasen produktiv nutzen
– verschiedene Methoden kooperativen Lernens im Mathematikunterricht der Grundschule.”
mathematik lehren, vol. 205, 2018, pp. 10–13.
short: J. Bruns, H. Gasteiger, mathematik lehren 205 (2018) 10–13.
date_created: 2023-06-20T18:50:42Z
date_updated: 2023-06-20T18:50:53Z
department:
- _id: '97'
- _id: '611'
intvolume: ' 205'
language:
- iso: ger
page: 10–13
publication: mathematik lehren
publication_status: published
status: public
title: Gemeinsame Arbeitsphasen produktiv nutzen – verschiedene Methoden kooperativen
Lernens im Mathematikunterricht der Grundschule
type: journal_article
user_id: '49063'
volume: 205
year: '2018'
...
---
_id: '36485'
abstract:
- lang: eng
text: 'This chapter presents an overview of the contributions in TSG 1: Early Childhood
Mathematics Education at ICME-13 which focused on issues from the perspective
of early childhood educators. A basic assumption of this chapter is that the opportunities
for young children to develop mathematical understandings and skills are influenced
by several conditions at a macro, meso and micro level. First, curricula provide
a framework for early mathematics teaching and learning with varying expectations
(by teachers) about what can occur in the pre-school environment—informal learning
(such as through play), content to learn and activities to experience. Second,
early childhood educators’ mathematical knowledge, pedagogical knowledge, understandings,
beliefs, and perceptions influence how they enact these expectations. These competencies
can be developed and supported by professional learning. Third, educational programs,
resources and activities used in the pre-school environment impact on the mathematical
opportunities children engage in at the micro level.'
author:
- first_name: Audrey
full_name: Cooke, Audrey
last_name: Cooke
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
citation:
ama: 'Cooke A, Bruns J. Early Childhood Educators’ Issues and Perspectives in Mathematics
Education. In: Elia I, Mulligan J, Anderson A, Baccaglini-Frank A, Benz C, eds.
Contemporary Research and Perspectives on Early Childhood Mathematics Education.
Springer International Publishing; 2018:267–289. doi:10.1007/978-3-319-73432-3_14'
apa: Cooke, A., & Bruns, J. (2018). Early Childhood Educators’ Issues and Perspectives
in Mathematics Education. In I. Elia, J. Mulligan, A. Anderson, A. Baccaglini-Frank,
& C. Benz (Eds.), Contemporary Research and Perspectives on Early Childhood
Mathematics Education (pp. 267–289). Springer International Publishing. https://doi.org/10.1007/978-3-319-73432-3_14
bibtex: '@inbook{Cooke_Bruns_2018, place={Cham, Switzerland}, title={Early Childhood
Educators’ Issues and Perspectives in Mathematics Education}, DOI={10.1007/978-3-319-73432-3_14},
booktitle={Contemporary Research and Perspectives on Early Childhood Mathematics
Education}, publisher={Springer International Publishing}, author={Cooke, Audrey
and Bruns, Julia}, editor={Elia, Iliada and Mulligan, Joanne and Anderson, Ann
and Baccaglini-Frank, Anna and Benz, Christiane}, year={2018}, pages={267–289}
}'
chicago: 'Cooke, Audrey, and Julia Bruns. “Early Childhood Educators’ Issues and
Perspectives in Mathematics Education.” In Contemporary Research and Perspectives
on Early Childhood Mathematics Education, edited by Iliada Elia, Joanne Mulligan,
Ann Anderson, Anna Baccaglini-Frank, and Christiane Benz, 267–289. Cham, Switzerland:
Springer International Publishing, 2018. https://doi.org/10.1007/978-3-319-73432-3_14.'
ieee: 'A. Cooke and J. Bruns, “Early Childhood Educators’ Issues and Perspectives
in Mathematics Education,” in Contemporary Research and Perspectives on Early
Childhood Mathematics Education, I. Elia, J. Mulligan, A. Anderson, A. Baccaglini-Frank,
and C. Benz, Eds. Cham, Switzerland: Springer International Publishing, 2018,
pp. 267–289.'
mla: Cooke, Audrey, and Julia Bruns. “Early Childhood Educators’ Issues and Perspectives
in Mathematics Education.” Contemporary Research and Perspectives on Early
Childhood Mathematics Education, edited by Iliada Elia et al., Springer International
Publishing, 2018, pp. 267–289, doi:10.1007/978-3-319-73432-3_14.
short: 'A. Cooke, J. Bruns, in: I. Elia, J. Mulligan, A. Anderson, A. Baccaglini-Frank,
C. Benz (Eds.), Contemporary Research and Perspectives on Early Childhood Mathematics
Education, Springer International Publishing, Cham, Switzerland, 2018, pp. 267–289.'
date_created: 2023-01-12T15:36:28Z
date_updated: 2023-06-20T19:16:42Z
department:
- _id: '611'
- _id: '97'
doi: 10.1007/978-3-319-73432-3_14
editor:
- first_name: Iliada
full_name: Elia, Iliada
last_name: Elia
- first_name: Joanne
full_name: Mulligan, Joanne
last_name: Mulligan
- first_name: Ann
full_name: Anderson, Ann
last_name: Anderson
- first_name: Anna
full_name: Baccaglini-Frank, Anna
last_name: Baccaglini-Frank
- first_name: Christiane
full_name: Benz, Christiane
last_name: Benz
language:
- iso: eng
page: 267–289
place: Cham, Switzerland
publication: Contemporary Research and Perspectives on Early Childhood Mathematics
Education
publication_identifier:
isbn:
- 978-3-319-73432-3
publication_status: published
publisher: Springer International Publishing
status: public
title: Early Childhood Educators’ Issues and Perspectives in Mathematics Education
type: book_chapter
user_id: '49063'
year: '2018'
...
---
_id: '36480'
abstract:
- lang: eng
text: Im vorangegangenen Kapitel wurde die Vorgeschichte beschrieben, wie es durch
Initiative der Deutsche Telekom Stiftung zur Gründung des DZLM gekommen ist. In
diesem zweiten Kapitel werden die Tätigkeitsfelder und Konzepte des DZLM in seiner
ersten Förderphase vom 01.10.2011 bis 30.09.2016 beschrieben.
author:
- first_name: Bärbel
full_name: Barzel, Bärbel
last_name: Barzel
- first_name: Rolf
full_name: Biehler, Rolf
last_name: Biehler
- first_name: Sigrid
full_name: Blömeke, Sigrid
last_name: Blömeke
- first_name: Regine
full_name: Brandtner, Regine
last_name: Brandtner
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: Christian
full_name: Dohrmann, Christian
last_name: Dohrmann
- first_name: Ulrich
full_name: Kortenkamp, Ulrich
last_name: Kortenkamp
- first_name: Thomas
full_name: Lange, Thomas
last_name: Lange
- first_name: Timo
full_name: Leuders, Timo
last_name: Leuders
- first_name: Bettina
full_name: Rösken-Winter, Bettina
last_name: Rösken-Winter
- first_name: Petra
full_name: Scherer, Petra
last_name: Scherer
- first_name: Christoph
full_name: Selter, Christoph
last_name: Selter
citation:
ama: 'Barzel B, Biehler R, Blömeke S, et al. Das Deutsche Zentrum für Lehrerbildung
Mathematik – DZLM. In: Biehler R, Lange T, Leuders T, Rösken-Winter B, Scherer
P, Selter C, eds. Mathematikfortbildungen professionalisieren: Konzepte, Beispiele
und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik. Springer
Fachmedien Wiesbaden; 2018:7–39. doi:10.1007/978-3-658-19028-6_2'
apa: 'Barzel, B., Biehler, R., Blömeke, S., Brandtner, R., Bruns, J., Dohrmann,
C., Kortenkamp, U., Lange, T., Leuders, T., Rösken-Winter, B., Scherer, P., &
Selter, C. (2018). Das Deutsche Zentrum für Lehrerbildung Mathematik – DZLM. In
R. Biehler, T. Lange, T. Leuders, B. Rösken-Winter, P. Scherer, & C. Selter
(Eds.), Mathematikfortbildungen professionalisieren: Konzepte, Beispiele und
Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik (pp. 7–39).
Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-19028-6_2'
bibtex: '@inbook{Barzel_Biehler_Blömeke_Brandtner_Bruns_Dohrmann_Kortenkamp_Lange_Leuders_Rösken-Winter_et
al._2018, place={Wiesbaden}, title={Das Deutsche Zentrum für Lehrerbildung Mathematik
– DZLM}, DOI={10.1007/978-3-658-19028-6_2},
booktitle={Mathematikfortbildungen professionalisieren: Konzepte, Beispiele und
Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik}, publisher={Springer
Fachmedien Wiesbaden}, author={Barzel, Bärbel and Biehler, Rolf and Blömeke, Sigrid
and Brandtner, Regine and Bruns, Julia and Dohrmann, Christian and Kortenkamp,
Ulrich and Lange, Thomas and Leuders, Timo and Rösken-Winter, Bettina and et al.},
editor={Biehler, Rolf and Lange, Thomas and Leuders, Timo and Rösken-Winter, Bettina
and Scherer, Petra and Selter, Christoph}, year={2018}, pages={7–39} }'
chicago: 'Barzel, Bärbel, Rolf Biehler, Sigrid Blömeke, Regine Brandtner, Julia
Bruns, Christian Dohrmann, Ulrich Kortenkamp, et al. “Das Deutsche Zentrum für
Lehrerbildung Mathematik – DZLM.” In Mathematikfortbildungen professionalisieren:
Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik,
edited by Rolf Biehler, Thomas Lange, Timo Leuders, Bettina Rösken-Winter, Petra
Scherer, and Christoph Selter, 7–39. Wiesbaden: Springer Fachmedien Wiesbaden,
2018. https://doi.org/10.1007/978-3-658-19028-6_2.'
ieee: 'B. Barzel et al., “Das Deutsche Zentrum für Lehrerbildung Mathematik
– DZLM,” in Mathematikfortbildungen professionalisieren: Konzepte, Beispiele
und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik, R. Biehler,
T. Lange, T. Leuders, B. Rösken-Winter, P. Scherer, and C. Selter, Eds. Wiesbaden:
Springer Fachmedien Wiesbaden, 2018, pp. 7–39.'
mla: 'Barzel, Bärbel, et al. “Das Deutsche Zentrum für Lehrerbildung Mathematik
– DZLM.” Mathematikfortbildungen professionalisieren: Konzepte, Beispiele und
Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik, edited by
Rolf Biehler et al., Springer Fachmedien Wiesbaden, 2018, pp. 7–39, doi:10.1007/978-3-658-19028-6_2.'
short: 'B. Barzel, R. Biehler, S. Blömeke, R. Brandtner, J. Bruns, C. Dohrmann,
U. Kortenkamp, T. Lange, T. Leuders, B. Rösken-Winter, P. Scherer, C. Selter,
in: R. Biehler, T. Lange, T. Leuders, B. Rösken-Winter, P. Scherer, C. Selter
(Eds.), Mathematikfortbildungen professionalisieren: Konzepte, Beispiele und Erfahrungen
des Deutschen Zentrums für Lehrerbildung Mathematik, Springer Fachmedien Wiesbaden,
Wiesbaden, 2018, pp. 7–39.'
date_created: 2023-01-12T15:27:17Z
date_updated: 2023-06-20T19:17:25Z
department:
- _id: '611'
- _id: '97'
doi: 10.1007/978-3-658-19028-6_2
editor:
- first_name: Rolf
full_name: Biehler, Rolf
last_name: Biehler
- first_name: Thomas
full_name: Lange, Thomas
last_name: Lange
- first_name: Timo
full_name: Leuders, Timo
last_name: Leuders
- first_name: Bettina
full_name: Rösken-Winter, Bettina
last_name: Rösken-Winter
- first_name: Petra
full_name: Scherer, Petra
last_name: Scherer
- first_name: Christoph
full_name: Selter, Christoph
last_name: Selter
language:
- iso: ger
page: 7–39
place: Wiesbaden
publication: 'Mathematikfortbildungen professionalisieren: Konzepte, Beispiele und
Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik'
publication_identifier:
isbn:
- 978-3-658-19028-6
publication_status: published
publisher: Springer Fachmedien Wiesbaden
status: public
title: Das Deutsche Zentrum für Lehrerbildung Mathematik – DZLM
type: book_chapter
user_id: '49063'
year: '2018'
...
---
_id: '36478'
author:
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: Lars
full_name: Eichen, Lars
last_name: Eichen
citation:
ama: 'Bruns J, Eichen L. EmMa - Fortbildung für elementarpädagogische Fachpersonen
zur frühen mathematischen Bildung. In: Biehler R, Lange T, Leuders T, Rösken-Winter
B, eds. Mathematikfortbildungen professionalisieren. Konzepte, Beispiele und
Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik. Springer;
2018:417-434. doi:10.1007/978-3-658-19028-6_21'
apa: Bruns, J., & Eichen, L. (2018). EmMa - Fortbildung für elementarpädagogische
Fachpersonen zur frühen mathematischen Bildung. In R. Biehler, T. Lange, T. Leuders,
& B. Rösken-Winter (Eds.), Mathematikfortbildungen professionalisieren.
Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik
(pp. 417–434). Springer. https://doi.org/10.1007/978-3-658-19028-6_21
bibtex: '@inbook{Bruns_Eichen_2018, place={Berlin}, title={EmMa - Fortbildung für
elementarpädagogische Fachpersonen zur frühen mathematischen Bildung}, DOI={10.1007/978-3-658-19028-6_21},
booktitle={Mathematikfortbildungen professionalisieren. Konzepte, Beispiele und
Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik}, publisher={Springer},
author={Bruns, Julia and Eichen, Lars}, editor={Biehler, Rolf and Lange, Thomas
and Leuders, Timo and Rösken-Winter, Bettina}, year={2018}, pages={417–434} }'
chicago: 'Bruns, Julia, and Lars Eichen. “EmMa - Fortbildung für elementarpädagogische
Fachpersonen zur frühen mathematischen Bildung.” In Mathematikfortbildungen
professionalisieren. Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums
für Lehrerbildung Mathematik, edited by Rolf Biehler, Thomas Lange, Timo Leuders,
and Bettina Rösken-Winter, 417–34. Berlin: Springer, 2018. https://doi.org/10.1007/978-3-658-19028-6_21.'
ieee: 'J. Bruns and L. Eichen, “EmMa - Fortbildung für elementarpädagogische Fachpersonen
zur frühen mathematischen Bildung,” in Mathematikfortbildungen professionalisieren.
Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik,
R. Biehler, T. Lange, T. Leuders, and B. Rösken-Winter, Eds. Berlin: Springer,
2018, pp. 417–434.'
mla: Bruns, Julia, and Lars Eichen. “EmMa - Fortbildung für elementarpädagogische
Fachpersonen zur frühen mathematischen Bildung.” Mathematikfortbildungen professionalisieren.
Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik,
edited by Rolf Biehler et al., Springer, 2018, pp. 417–34, doi:10.1007/978-3-658-19028-6_21.
short: 'J. Bruns, L. Eichen, in: R. Biehler, T. Lange, T. Leuders, B. Rösken-Winter
(Eds.), Mathematikfortbildungen professionalisieren. Konzepte, Beispiele und Erfahrungen
des Deutschen Zentrums für Lehrerbildung Mathematik, Springer, Berlin, 2018, pp.
417–434.'
date_created: 2023-01-12T15:20:07Z
date_updated: 2023-06-20T19:15:55Z
department:
- _id: '611'
- _id: '97'
doi: 10.1007/978-3-658-19028-6_21
editor:
- first_name: Rolf
full_name: Biehler, Rolf
last_name: Biehler
- first_name: Thomas
full_name: Lange, Thomas
last_name: Lange
- first_name: Timo
full_name: Leuders, Timo
last_name: Leuders
- first_name: Bettina
full_name: Rösken-Winter, Bettina
last_name: Rösken-Winter
language:
- iso: ger
page: 417-434
place: Berlin
publication: Mathematikfortbildungen professionalisieren. Konzepte, Beispiele und
Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik
publication_status: published
publisher: Springer
quality_controlled: '1'
status: public
title: EmMa - Fortbildung für elementarpädagogische Fachpersonen zur frühen mathematischen
Bildung
type: book_chapter
user_id: '49063'
year: '2018'
...
---
_id: '36475'
citation:
ama: Gasteiger H, Bruns J, Universität Osnabrück, Center for Early Childhood Development
and Education Research (CEDER), eds. Methoden empirischer Bildungsforschung
im Kontext Frühkindliche Bildung und Entwicklung.; 2018.
apa: Gasteiger, H., Bruns, J., & Universität Osnabrück, Center for Early Childhood
Development and Education Research (CEDER) (Eds.). (2018). Methoden empirischer
Bildungsforschung im Kontext Frühkindliche Bildung und Entwicklung.
bibtex: '@book{Gasteiger_Bruns_Universität Osnabrück, Center for Early Childhood
Development and Education Research (CEDER)_2018, title={Methoden empirischer Bildungsforschung
im Kontext Frühkindliche Bildung und Entwicklung}, year={2018} }'
chicago: Gasteiger, Hedwig, Julia Bruns, and Universität Osnabrück, Center for Early
Childhood Development and Education Research (CEDER), eds. Methoden empirischer
Bildungsforschung im Kontext Frühkindliche Bildung und Entwicklung, 2018.
ieee: H. Gasteiger, J. Bruns, and Universität Osnabrück, Center for Early Childhood
Development and Education Research (CEDER), Eds., Methoden empirischer Bildungsforschung
im Kontext Frühkindliche Bildung und Entwicklung. 2018.
mla: Gasteiger, Hedwig, et al., editors. Methoden empirischer Bildungsforschung
im Kontext Frühkindliche Bildung und Entwicklung. 2018.
short: H. Gasteiger, J. Bruns, Universität Osnabrück, Center for Early Childhood
Development and Education Research (CEDER), eds., Methoden empirischer Bildungsforschung
im Kontext Frühkindliche Bildung und Entwicklung, 2018.
corporate_editor:
- Universität Osnabrück, Center for Early Childhood Development and Education Research
(CEDER)
date_created: 2023-01-12T15:12:23Z
date_updated: 2023-06-20T19:17:03Z
department:
- _id: '611'
- _id: '97'
editor:
- first_name: Hedwig
full_name: Gasteiger, Hedwig
last_name: Gasteiger
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2018052917199
oa: '1'
publication_status: published
status: public
title: Methoden empirischer Bildungsforschung im Kontext Frühkindliche Bildung und
Entwicklung
type: book_editor
user_id: '49063'
year: '2018'
...
---
_id: '19940'
abstract:
- lang: eng
text: "Two smooth map germs are right-equivalent if and only if they generate two\r\nLagrangian
submanifolds in a cotangent bundle which have the same contact with\r\nthe zero-section.
In this paper we provide a reverse direction to this\r\nclassical result of Golubitsky
and Guillemin. Two Lagrangian submanifolds of a\r\nsymplectic manifold have the
same contact with a third Lagrangian submanifold\r\nif and only if the intersection
problems correspond to stably right equivalent\r\nmap germs. We, therefore, obtain
a correspondence between local Lagrangian\r\nintersection problems and catastrophe
theory while the classical version only\r\ncaptures tangential intersections.
The correspondence is defined independently\r\nof any Lagrangian fibration of
the ambient symplectic manifold, in contrast to\r\nother classical results. Moreover,
we provide an extension of the\r\ncorrespondence to families of local Lagrangian
intersection problems. This\r\ngives rise to a framework which allows a natural
transportation of the notions\r\nof catastrophe theory such as stability, unfolding
and (uni-)versality to the\r\ngeometric setting such that we obtain a classification
of families of local\r\nLagrangian intersection problems. An application is the
classification of\r\nLagrangian boundary value problems for symplectic maps."
author:
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: https://orcid.org/0000-0002-5940-8057
citation:
ama: Offen C. Local intersections of Lagrangian manifolds correspond to catastrophe
theory. arXiv:181110165.
apa: Offen, C. (n.d.). Local intersections of Lagrangian manifolds correspond to
catastrophe theory. In arXiv:1811.10165.
bibtex: '@article{Offen, title={Local intersections of Lagrangian manifolds correspond
to catastrophe theory}, journal={arXiv:1811.10165}, author={Offen, Christian}
}'
chicago: Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond
to Catastrophe Theory.” ArXiv:1811.10165, n.d.
ieee: C. Offen, “Local intersections of Lagrangian manifolds correspond to catastrophe
theory,” arXiv:1811.10165. .
mla: Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond to
Catastrophe Theory.” ArXiv:1811.10165.
short: C. Offen, ArXiv:1811.10165 (n.d.).
date_created: 2020-10-06T16:32:45Z
date_updated: 2023-08-10T08:48:55Z
ddc:
- '510'
department:
- _id: '636'
external_id:
arxiv:
- '1811.10165'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2021-12-21T16:01:03Z
date_updated: 2021-12-21T16:01:03Z
description: |-
Two smooth map germs are right-equivalent if and only if they
generate two Lagrangian submanifolds in a cotangent bundle which have the
same contact with the zero-section. In this paper we provide a reverse direction
to this classical result of Golubitsky and Guillemin. Two Lagrangian submanifolds of a symplectic manifold have the same contact with a third Lagrangian
submanifold if and only if the intersection problems correspond to stably right
equivalent map germs. We, therefore, obtain a correspondence between local
Lagrangian intersection problems and catastrophe theory while the classical
version only captures tangential intersections. The correspondence is defined
independently of any Lagrangian fibration of the ambient symplectic manifold, in contrast to other classical results. Moreover, we provide an extension
of the correspondence to families of local Lagrangian intersection problems.
This gives rise to a framework which allows a natural transportation of the
notions of catastrophe theory such as stability, unfolding and (uni-)versality
to the geometric setting such that we obtain a classification of families of lo-
cal Lagrangian intersection problems. An application is the classification of
Lagrangian boundary value problems for symplectic maps.
file_id: '29078'
file_name: LocalLagrangianContact.pdf
file_size: 662483
relation: main_file
title: Local intersections of Lagrangian manifolds correspond to catastrophe theory
file_date_updated: 2021-12-21T16:01:03Z
has_accepted_license: '1'
language:
- iso: eng
oa: '1'
publication: arXiv:1811.10165
publication_status: submitted
status: public
title: Local intersections of Lagrangian manifolds correspond to catastrophe theory
type: preprint
user_id: '85279'
year: '2018'
...
---
_id: '19943'
abstract:
- lang: eng
text: 'In this paper we continue our study of bifurcations of solutions of boundary-value
problems for symplectic maps arising as Hamiltonian diffeomorphisms. These have
been shown to be connected to catastrophe theory via generating functions and
ordinary and reversal phase space symmetries have been considered. Here we present
a convenient, coordinate free framework to analyse separated Lagrangian boundary
value problems which include classical Dirichlet, Neumann and Robin boundary value
problems. The framework is then used to prove the existence of obstructions arising
from conformal symplectic symmetries on the bifurcation behaviour of solutions
to Hamiltonian boundary value problems. Under non-degeneracy conditions, a group
action by conformal symplectic symmetries has the effect that the flow map cannot
degenerate in a direction which is tangential to the action. This imposes restrictions
on which singularities can occur in boundary value problems. Our results generalise
classical results about conjugate loci on Riemannian manifolds to a large class
of Hamiltonian boundary value problems with, for example, scaling symmetries. '
article_type: original
author:
- first_name: Robert I
full_name: McLachlan, Robert I
last_name: McLachlan
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: https://orcid.org/0000-0002-5940-8057
citation:
ama: McLachlan RI, Offen C. Hamiltonian boundary value problems, conformal symplectic
symmetries, and conjugate loci. New Zealand Journal of Mathematics. 2018;48:83-99.
doi:10.53733/34
apa: McLachlan, R. I., & Offen, C. (2018). Hamiltonian boundary value problems,
conformal symplectic symmetries, and conjugate loci. New Zealand Journal of
Mathematics, 48, 83–99. https://doi.org/10.53733/34
bibtex: '@article{McLachlan_Offen_2018, title={Hamiltonian boundary value problems,
conformal symplectic symmetries, and conjugate loci}, volume={48}, DOI={10.53733/34 }, journal={New Zealand Journal of Mathematics}, author={McLachlan,
Robert I and Offen, Christian}, year={2018}, pages={83–99} }'
chicago: 'McLachlan, Robert I, and Christian Offen. “Hamiltonian Boundary Value
Problems, Conformal Symplectic Symmetries, and Conjugate Loci.” New Zealand
Journal of Mathematics 48 (2018): 83–99. https://doi.org/10.53733/34 .'
ieee: 'R. I. McLachlan and C. Offen, “Hamiltonian boundary value problems, conformal
symplectic symmetries, and conjugate loci,” New Zealand Journal of Mathematics,
vol. 48, pp. 83–99, 2018, doi: 10.53733/34
.'
mla: McLachlan, Robert I., and Christian Offen. “Hamiltonian Boundary Value Problems,
Conformal Symplectic Symmetries, and Conjugate Loci.” New Zealand Journal of
Mathematics, vol. 48, 2018, pp. 83–99, doi:10.53733/34 .
short: R.I. McLachlan, C. Offen, New Zealand Journal of Mathematics 48 (2018) 83–99.
date_created: 2020-10-06T16:39:08Z
date_updated: 2023-09-21T07:29:24Z
ddc:
- '510'
department:
- _id: '636'
doi: '10.53733/34 '
extern: '1'
external_id:
arxiv:
- '1804.07479'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2020-10-06T16:49:29Z
date_updated: 2020-10-07T14:04:01Z
file_id: '19946'
file_name: Hamiltonian_Boundary_Value_Problems,_Conformal_Symplectic_Symmetries,_and_Conjugate_Loci.pdf
file_size: 3126111
relation: main_file
title: Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and
Conjugate Loci
file_date_updated: 2020-10-07T14:04:01Z
has_accepted_license: '1'
intvolume: ' 48'
keyword:
- Hamiltonian boundary value problems
- singularities
- conformal symplectic geometry
- catastrophe theory
- conjugate loci
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://nzjmath.org/index.php/NZJMATH/article/view/34
oa: '1'
page: 83-99
publication: New Zealand Journal of Mathematics
publication_status: published
quality_controlled: '1'
status: public
title: Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate
loci
type: journal_article
user_id: '85279'
volume: 48
year: '2018'
...