---
_id: '37474'
abstract:
- lang: eng
text: |-
Abstract
Due to the COVID-19 crisis, many courses have been offered digitally. Using data from n = 1,173 business students participating in a preparatory mathematics course at a German university that covered the same content as in 2018, 2019 and 2020, we examine how students’ participation and the effect of the preparatory course changed. The data show that the participation rate has fallen slightly, but students’ participation is rather similar to preceding years. Interestingly, students have participated more intensively. There are clear signs of dishonesty in the self-test (use of a calculator) and significant changes in predictors of performance. In particular, the effect of students’ engagement in the course on their performance substantially increased. Further, we found a gender gap in performance affecting women. Finally, the data show that digital courses can be as effective as on-campus courses.
author:
- first_name: Stefan
full_name: Büchele, Stefan
last_name: Büchele
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Elisa
full_name: Lankeit, Elisa
last_name: Lankeit
citation:
ama: 'Büchele S, Liebendörfer M, Lankeit E. Increasing the effect of a remedial
mathematics course by switching to an online format during the COVID-19 crisis:
evidence from a German university. Teaching Mathematics and its Applications:
An International Journal of the IMA. 2021;40(4):478-496. doi:10.1093/teamat/hrab013'
apa: 'Büchele, S., Liebendörfer, M., & Lankeit, E. (2021). Increasing the effect
of a remedial mathematics course by switching to an online format during the COVID-19
crisis: evidence from a German university. Teaching Mathematics and Its Applications:
An International Journal of the IMA, 40(4), 478–496. https://doi.org/10.1093/teamat/hrab013'
bibtex: '@article{Büchele_Liebendörfer_Lankeit_2021, title={Increasing the effect
of a remedial mathematics course by switching to an online format during the COVID-19
crisis: evidence from a German university}, volume={40}, DOI={10.1093/teamat/hrab013},
number={4}, journal={Teaching Mathematics and its Applications: An International
Journal of the IMA}, publisher={Oxford University Press (OUP)}, author={Büchele,
Stefan and Liebendörfer, Michael and Lankeit, Elisa}, year={2021}, pages={478–496}
}'
chicago: 'Büchele, Stefan, Michael Liebendörfer, and Elisa Lankeit. “Increasing
the Effect of a Remedial Mathematics Course by Switching to an Online Format during
the COVID-19 Crisis: Evidence from a German University.” Teaching Mathematics
and Its Applications: An International Journal of the IMA 40, no. 4 (2021):
478–96. https://doi.org/10.1093/teamat/hrab013.'
ieee: 'S. Büchele, M. Liebendörfer, and E. Lankeit, “Increasing the effect of a
remedial mathematics course by switching to an online format during the COVID-19
crisis: evidence from a German university,” Teaching Mathematics and its Applications:
An International Journal of the IMA, vol. 40, no. 4, pp. 478–496, 2021, doi:
10.1093/teamat/hrab013.'
mla: 'Büchele, Stefan, et al. “Increasing the Effect of a Remedial Mathematics Course
by Switching to an Online Format during the COVID-19 Crisis: Evidence from a German
University.” Teaching Mathematics and Its Applications: An International Journal
of the IMA, vol. 40, no. 4, Oxford University Press (OUP), 2021, pp. 478–96,
doi:10.1093/teamat/hrab013.'
short: 'S. Büchele, M. Liebendörfer, E. Lankeit, Teaching Mathematics and Its Applications:
An International Journal of the IMA 40 (2021) 478–496.'
date_created: 2023-01-18T22:23:50Z
date_updated: 2023-01-18T22:47:00Z
department:
- _id: '10'
doi: 10.1093/teamat/hrab013
intvolume: ' 40'
issue: '4'
keyword:
- Education
- General Mathematics
language:
- iso: eng
page: 478-496
publication: 'Teaching Mathematics and its Applications: An International Journal
of the IMA'
publication_identifier:
issn:
- 0268-3679
- 1471-6976
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: 'Increasing the effect of a remedial mathematics course by switching to an
online format during the COVID-19 crisis: evidence from a German university'
type: journal_article
user_id: '30933'
volume: 40
year: '2021'
...
---
_id: '37483'
abstract:
- lang: eng
text: Das gymnasiale Lehramtsstudium der Mathematik ist an deutschen Universitäten
unterschiedlich organisiert. Traditionell wurden am Studienbeginn die Fachvorlesungen
zur Analysis und Linearen Algebra gemeinsam mit Fachstudierenden gehört. In jüngerer
Zeit verbreiten sich alternative Modelle z. B. mit Brückenvorlesungen, die oft
spezifisch für das Gymnasiallehramt angeboten werden. Sie können gemeinsame Veranstaltungen
mit Fachstudierenden ergänzen oder ersetzen. Dieser Beitrag zeigt auf, welche
Modelle wie häufig verbreitet sind, und spricht an, welche hochschuldidaktischen
Fragen an der Studiengestaltung hängen.
author:
- first_name: Lara
full_name: Gildehaus, Lara
last_name: Gildehaus
- first_name: Robin
full_name: Göller, Robin
last_name: Göller
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
citation:
ama: Gildehaus L, Göller R, Liebendörfer M. Gymnasiales Lehramt Mathematik studieren
– eine Übersicht zur Studienorganisation in Deutschland. Mitteilungen der Gesellschaft
für Didaktik der Mathematik. 2021;47(111):27–32.
apa: Gildehaus, L., Göller, R., & Liebendörfer, M. (2021). Gymnasiales Lehramt
Mathematik studieren – eine Übersicht zur Studienorganisation in Deutschland.
Mitteilungen Der Gesellschaft Für Didaktik Der Mathematik, 47(111),
27–32.
bibtex: '@article{Gildehaus_Göller_Liebendörfer_2021, title={Gymnasiales Lehramt
Mathematik studieren – eine Übersicht zur Studienorganisation in Deutschland},
volume={47}, number={111}, journal={Mitteilungen der Gesellschaft für Didaktik
der Mathematik}, author={Gildehaus, Lara and Göller, Robin and Liebendörfer, Michael},
year={2021}, pages={27–32} }'
chicago: 'Gildehaus, Lara, Robin Göller, and Michael Liebendörfer. “Gymnasiales
Lehramt Mathematik Studieren – Eine Übersicht Zur Studienorganisation in Deutschland.”
Mitteilungen Der Gesellschaft Für Didaktik Der Mathematik 47, no. 111 (2021):
27–32.'
ieee: L. Gildehaus, R. Göller, and M. Liebendörfer, “Gymnasiales Lehramt Mathematik
studieren – eine Übersicht zur Studienorganisation in Deutschland,” Mitteilungen
der Gesellschaft für Didaktik der Mathematik, vol. 47, no. 111, pp. 27–32,
2021.
mla: Gildehaus, Lara, et al. “Gymnasiales Lehramt Mathematik Studieren – Eine Übersicht
Zur Studienorganisation in Deutschland.” Mitteilungen Der Gesellschaft Für
Didaktik Der Mathematik, vol. 47, no. 111, 2021, pp. 27–32.
short: L. Gildehaus, R. Göller, M. Liebendörfer, Mitteilungen Der Gesellschaft Für
Didaktik Der Mathematik 47 (2021) 27–32.
date_created: 2023-01-18T22:31:53Z
date_updated: 2023-01-18T22:46:49Z
department:
- _id: '10'
intvolume: ' 47'
issue: '111'
page: 27–32
publication: Mitteilungen der Gesellschaft für Didaktik der Mathematik
publication_identifier:
issn:
- 2512-9155
status: public
title: Gymnasiales Lehramt Mathematik studieren – eine Übersicht zur Studienorganisation
in Deutschland
type: journal_article
user_id: '30933'
volume: 47
year: '2021'
...
---
_id: '37481'
author:
- first_name: Bastian
full_name: Vajen, Bastian
last_name: Vajen
- first_name: Lara
full_name: Gildehaus, Lara
last_name: Gildehaus
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Christoph
full_name: Wolf, Christoph
last_name: Wolf
citation:
ama: 'Vajen B, Gildehaus L, Liebendörfer M, Wolf C. Mathematisierung als Herausforderung
für die politische Bildung. In: Kenner S, Oeftering T, eds. Schriftenreihe
Der DVPB. Standortbestimmung Politische Bildung: Gesellschaftspolitische Herausforderungen,
Zivilgesellschaft Und Das Vermeintliche Neutralitätsgebot. Wochenschau; 2021:188–200.'
apa: 'Vajen, B., Gildehaus, L., Liebendörfer, M., & Wolf, C. (2021). Mathematisierung
als Herausforderung für die politische Bildung. In S. Kenner & T. Oeftering
(Eds.), Schriftenreihe der DVPB. Standortbestimmung Politische Bildung: Gesellschaftspolitische
Herausforderungen, Zivilgesellschaft und das vermeintliche Neutralitätsgebot
(pp. 188–200). Wochenschau.'
bibtex: '@inproceedings{Vajen_Gildehaus_Liebendörfer_Wolf_2021, place={Frankfurt},
title={Mathematisierung als Herausforderung für die politische Bildung}, booktitle={Schriftenreihe
der DVPB. Standortbestimmung Politische Bildung: Gesellschaftspolitische Herausforderungen,
Zivilgesellschaft und das vermeintliche Neutralitätsgebot}, publisher={Wochenschau},
author={Vajen, Bastian and Gildehaus, Lara and Liebendörfer, Michael and Wolf,
Christoph}, editor={Kenner, Steve and Oeftering, T.}, year={2021}, pages={188–200}
}'
chicago: 'Vajen, Bastian, Lara Gildehaus, Michael Liebendörfer, and Christoph Wolf.
“Mathematisierung Als Herausforderung Für Die Politische Bildung.” In Schriftenreihe
Der DVPB. Standortbestimmung Politische Bildung: Gesellschaftspolitische Herausforderungen,
Zivilgesellschaft Und Das Vermeintliche Neutralitätsgebot, edited by Steve
Kenner and T. Oeftering, 188–200. Frankfurt: Wochenschau, 2021.'
ieee: 'B. Vajen, L. Gildehaus, M. Liebendörfer, and C. Wolf, “Mathematisierung als
Herausforderung für die politische Bildung,” in Schriftenreihe der DVPB. Standortbestimmung
Politische Bildung: Gesellschaftspolitische Herausforderungen, Zivilgesellschaft
und das vermeintliche Neutralitätsgebot, 2021, pp. 188–200.'
mla: 'Vajen, Bastian, et al. “Mathematisierung Als Herausforderung Für Die Politische
Bildung.” Schriftenreihe Der DVPB. Standortbestimmung Politische Bildung: Gesellschaftspolitische
Herausforderungen, Zivilgesellschaft Und Das Vermeintliche Neutralitätsgebot,
edited by Steve Kenner and T. Oeftering, Wochenschau, 2021, pp. 188–200.'
short: 'B. Vajen, L. Gildehaus, M. Liebendörfer, C. Wolf, in: S. Kenner, T. Oeftering
(Eds.), Schriftenreihe Der DVPB. Standortbestimmung Politische Bildung: Gesellschaftspolitische
Herausforderungen, Zivilgesellschaft Und Das Vermeintliche Neutralitätsgebot,
Wochenschau, Frankfurt, 2021, pp. 188–200.'
date_created: 2023-01-18T22:31:25Z
date_updated: 2023-01-18T22:47:23Z
department:
- _id: '10'
editor:
- first_name: Steve
full_name: Kenner, Steve
last_name: Kenner
- first_name: T.
full_name: Oeftering, T.
last_name: Oeftering
page: 188–200
place: Frankfurt
publication: 'Schriftenreihe der DVPB. Standortbestimmung Politische Bildung: Gesellschaftspolitische
Herausforderungen, Zivilgesellschaft und das vermeintliche Neutralitätsgebot'
publisher: Wochenschau
status: public
title: Mathematisierung als Herausforderung für die politische Bildung
type: conference
user_id: '30933'
year: '2021'
...
---
_id: '37480'
author:
- first_name: Robin
full_name: Göller, Robin
last_name: Göller
- first_name: Lara
full_name: Gildehaus, Lara
last_name: Gildehaus
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Jörn
full_name: Steuding, Jörn
last_name: Steuding
citation:
ama: 'Göller R, Gildehaus L, Liebendörfer M, Steuding J. Prüfungsformate als Ansatzpunkt
gendersensibler universitärer Lehre im Fach Mathematik. In: Blunck A, Motzer R,
eds. Mathematik Und Gender: Berichte Und Beiträge Des Arbeitskreise Frauen
Und Mathematik. Vol 5. Franzbecker; 2021:59–76.'
apa: 'Göller, R., Gildehaus, L., Liebendörfer, M., & Steuding, J. (2021). Prüfungsformate
als Ansatzpunkt gendersensibler universitärer Lehre im Fach Mathematik. In A.
Blunck & R. Motzer (Eds.), Mathematik und Gender: Berichte und Beiträge
des Arbeitskreise Frauen und Mathematik (Vol. 5, pp. 59–76). Franzbecker.'
bibtex: '@inbook{Göller_Gildehaus_Liebendörfer_Steuding_2021, title={Prüfungsformate
als Ansatzpunkt gendersensibler universitärer Lehre im Fach Mathematik}, volume={5},
booktitle={Mathematik und Gender: Berichte und Beiträge des Arbeitskreise Frauen
und Mathematik}, publisher={Franzbecker}, author={Göller, Robin and Gildehaus,
Lara and Liebendörfer, Michael and Steuding, Jörn}, editor={Blunck, Andrea and
Motzer, Renate}, year={2021}, pages={59–76} }'
chicago: 'Göller, Robin, Lara Gildehaus, Michael Liebendörfer, and Jörn Steuding.
“Prüfungsformate Als Ansatzpunkt Gendersensibler Universitärer Lehre Im Fach Mathematik.”
In Mathematik Und Gender: Berichte Und Beiträge Des Arbeitskreise Frauen Und
Mathematik, edited by Andrea Blunck and Renate Motzer, 5:59–76. Franzbecker,
2021.'
ieee: 'R. Göller, L. Gildehaus, M. Liebendörfer, and J. Steuding, “Prüfungsformate
als Ansatzpunkt gendersensibler universitärer Lehre im Fach Mathematik,” in Mathematik
und Gender: Berichte und Beiträge des Arbeitskreise Frauen und Mathematik,
vol. 5, A. Blunck and R. Motzer, Eds. Franzbecker, 2021, pp. 59–76.'
mla: 'Göller, Robin, et al. “Prüfungsformate Als Ansatzpunkt Gendersensibler Universitärer
Lehre Im Fach Mathematik.” Mathematik Und Gender: Berichte Und Beiträge Des
Arbeitskreise Frauen Und Mathematik, edited by Andrea Blunck and Renate Motzer,
vol. 5, Franzbecker, 2021, pp. 59–76.'
short: 'R. Göller, L. Gildehaus, M. Liebendörfer, J. Steuding, in: A. Blunck, R.
Motzer (Eds.), Mathematik Und Gender: Berichte Und Beiträge Des Arbeitskreise
Frauen Und Mathematik, Franzbecker, 2021, pp. 59–76.'
date_created: 2023-01-18T22:31:17Z
date_updated: 2023-01-18T22:47:46Z
department:
- _id: '10'
editor:
- first_name: Andrea
full_name: Blunck, Andrea
last_name: Blunck
- first_name: Renate
full_name: Motzer, Renate
last_name: Motzer
intvolume: ' 5'
page: 59–76
publication: 'Mathematik und Gender: Berichte und Beiträge des Arbeitskreise Frauen
und Mathematik'
publisher: Franzbecker
status: public
title: Prüfungsformate als Ansatzpunkt gendersensibler universitärer Lehre im Fach
Mathematik
type: book_chapter
user_id: '30933'
volume: 5
year: '2021'
...
---
_id: '37478'
author:
- first_name: Inka
full_name: Haak, Inka
last_name: Haak
- first_name: Lara
full_name: Gildehaus, Lara
last_name: Gildehaus
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
citation:
ama: 'Haak I, Gildehaus L, Liebendörfer M. Genese und Funktionen von Lerngruppen
in der Studieneingangsphase. In: Naturwissenschaftlicher Unterricht Und Lehrerbildung
Im Umbruch?. Universität Duisburg-Essen; 2021:89–92.'
apa: Haak, I., Gildehaus, L., & Liebendörfer, M. (2021). Genese und Funktionen
von Lerngruppen in der Studieneingangsphase. Naturwissenschaftlicher Unterricht
Und Lehrerbildung Im Umbruch?, 89–92.
bibtex: '@inproceedings{Haak_Gildehaus_Liebendörfer_2021, title={Genese und Funktionen
von Lerngruppen in der Studieneingangsphase}, booktitle={Naturwissenschaftlicher
Unterricht und Lehrerbildung im Umbruch?}, publisher={Universität Duisburg-Essen},
author={Haak, Inka and Gildehaus, Lara and Liebendörfer, Michael}, year={2021},
pages={89–92} }'
chicago: Haak, Inka, Lara Gildehaus, and Michael Liebendörfer. “Genese Und Funktionen
von Lerngruppen in Der Studieneingangsphase.” In Naturwissenschaftlicher Unterricht
Und Lehrerbildung Im Umbruch?, 89–92. Universität Duisburg-Essen, 2021.
ieee: I. Haak, L. Gildehaus, and M. Liebendörfer, “Genese und Funktionen von Lerngruppen
in der Studieneingangsphase,” in Naturwissenschaftlicher Unterricht und Lehrerbildung
im Umbruch?, 2021, pp. 89–92.
mla: Haak, Inka, et al. “Genese Und Funktionen von Lerngruppen in Der Studieneingangsphase.”
Naturwissenschaftlicher Unterricht Und Lehrerbildung Im Umbruch?, Universität
Duisburg-Essen, 2021, pp. 89–92.
short: 'I. Haak, L. Gildehaus, M. Liebendörfer, in: Naturwissenschaftlicher Unterricht
Und Lehrerbildung Im Umbruch?, Universität Duisburg-Essen, 2021, pp. 89–92.'
date_created: 2023-01-18T22:31:03Z
date_updated: 2023-01-18T22:44:35Z
department:
- _id: '10'
page: 89–92
publication: Naturwissenschaftlicher Unterricht und Lehrerbildung im Umbruch?
publisher: Universität Duisburg-Essen
status: public
title: Genese und Funktionen von Lerngruppen in der Studieneingangsphase
type: conference
user_id: '30933'
year: '2021'
...
---
_id: '37473'
abstract:
- lang: eng
text: |-
Abstract
We investigated university students’ study of mathematics in the digital setting context of the COVID-19 pandemic. We gathered data from a survey of 89 students enrolled in a ‘Linear Algebra 1’ course including affective variables, learning strategies, social relatedness and resources considered useful. The results indicate students’ high effort and self-regulation and a high variation in affective characteristics and social relatedness. All the traditional aspects of mathematics teaching (lecture, tutorials and lecture notes) were rated as particularly useful. In addition, the videos from external resources were rated as equally useful as the teaching team’s videos. In contrast, traditional literature such as textbooks was rarely considered useful. The most useful resource rated was communication with peers, underlining the important role of social learning despite fully digital learning environments. Finally, a cluster analysis based on students’ rated usefulness of the resources led to three different user-types. Whereas the ‘digitals’ find the external digital resources very useful (videos, webpages, etc.), the ‘traditionalists’ rate the digitalized traditional resources best (lecture, tutorials, etc.). All resources receive uniformly good ratings from a third group (‘all resource users’). We reflect on our findings in light of the pandemic and describe directions for future research.
author:
- first_name: Leander
full_name: Kempen, Leander
last_name: Kempen
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
citation:
ama: 'Kempen L, Liebendörfer M. University students’ fully digital study of mathematics:
an identification of student-groups via their resources usage and a characterization
by personal and affective characteristics. Teaching Mathematics and its Applications:
An International Journal of the IMA. 2021;40(4):436-454. doi:10.1093/teamat/hrab020'
apa: 'Kempen, L., & Liebendörfer, M. (2021). University students’ fully digital
study of mathematics: an identification of student-groups via their resources
usage and a characterization by personal and affective characteristics. Teaching
Mathematics and Its Applications: An International Journal of the IMA, 40(4),
436–454. https://doi.org/10.1093/teamat/hrab020'
bibtex: '@article{Kempen_Liebendörfer_2021, title={University students’ fully digital
study of mathematics: an identification of student-groups via their resources
usage and a characterization by personal and affective characteristics}, volume={40},
DOI={10.1093/teamat/hrab020},
number={4}, journal={Teaching Mathematics and its Applications: An International
Journal of the IMA}, publisher={Oxford University Press (OUP)}, author={Kempen,
Leander and Liebendörfer, Michael}, year={2021}, pages={436–454} }'
chicago: 'Kempen, Leander, and Michael Liebendörfer. “University Students’ Fully
Digital Study of Mathematics: An Identification of Student-Groups via Their Resources
Usage and a Characterization by Personal and Affective Characteristics.” Teaching
Mathematics and Its Applications: An International Journal of the IMA 40,
no. 4 (2021): 436–54. https://doi.org/10.1093/teamat/hrab020.'
ieee: 'L. Kempen and M. Liebendörfer, “University students’ fully digital study
of mathematics: an identification of student-groups via their resources usage
and a characterization by personal and affective characteristics,” Teaching
Mathematics and its Applications: An International Journal of the IMA, vol.
40, no. 4, pp. 436–454, 2021, doi: 10.1093/teamat/hrab020.'
mla: 'Kempen, Leander, and Michael Liebendörfer. “University Students’ Fully Digital
Study of Mathematics: An Identification of Student-Groups via Their Resources
Usage and a Characterization by Personal and Affective Characteristics.” Teaching
Mathematics and Its Applications: An International Journal of the IMA, vol.
40, no. 4, Oxford University Press (OUP), 2021, pp. 436–54, doi:10.1093/teamat/hrab020.'
short: 'L. Kempen, M. Liebendörfer, Teaching Mathematics and Its Applications: An
International Journal of the IMA 40 (2021) 436–454.'
date_created: 2023-01-18T22:23:40Z
date_updated: 2023-01-18T22:49:44Z
department:
- _id: '10'
doi: 10.1093/teamat/hrab020
intvolume: ' 40'
issue: '4'
keyword:
- Education
- General Mathematics
language:
- iso: eng
page: 436-454
publication: 'Teaching Mathematics and its Applications: An International Journal
of the IMA'
publication_identifier:
issn:
- 0268-3679
- 1471-6976
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: 'University students’ fully digital study of mathematics: an identification
of student-groups via their resources usage and a characterization by personal and
affective characteristics'
type: journal_article
user_id: '30933'
volume: 40
year: '2021'
...
---
_id: '37487'
author:
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Reinhard
full_name: Hochmuth, Reinhard
last_name: Hochmuth
- first_name: Jana
full_name: Rode, Jana
last_name: Rode
- first_name: Stanislaw
full_name: Schukajlow, Stanislaw
last_name: Schukajlow
citation:
ama: 'Liebendörfer M, Hochmuth R, Rode J, Schukajlow S. The Mathematical Beliefs
and Interest Development of Pre-Service Primary Teachers. In: Inprasitha M, Changsri
N, Boonsena N, eds. Interim Proceedings of the 44th Conference of the International
Group for the Psychology of Mathematics Education. Vol 3. PME; 2021:198–205.'
apa: Liebendörfer, M., Hochmuth, R., Rode, J., & Schukajlow, S. (2021). The
Mathematical Beliefs and Interest Development of Pre-Service Primary Teachers.
In M. Inprasitha, N. Changsri, & N. Boonsena (Eds.), Interim Proceedings
of the 44th Conference of the International Group for the Psychology of Mathematics
Education (Vol. 3, pp. 198–205). PME.
bibtex: '@inproceedings{Liebendörfer_Hochmuth_Rode_Schukajlow_2021, place={Khon
Kaen (Thailand)}, title={The Mathematical Beliefs and Interest Development of
Pre-Service Primary Teachers}, volume={3}, booktitle={Interim Proceedings of the
44th Conference of the International Group for the Psychology of Mathematics Education},
publisher={PME}, author={Liebendörfer, Michael and Hochmuth, Reinhard and Rode,
Jana and Schukajlow, Stanislaw}, editor={Inprasitha, M. and Changsri, N. and Boonsena,
N.}, year={2021}, pages={198–205} }'
chicago: 'Liebendörfer, Michael, Reinhard Hochmuth, Jana Rode, and Stanislaw Schukajlow.
“The Mathematical Beliefs and Interest Development of Pre-Service Primary Teachers.”
In Interim Proceedings of the 44th Conference of the International Group for
the Psychology of Mathematics Education, edited by M. Inprasitha, N. Changsri,
and N. Boonsena, 3:198–205. Khon Kaen (Thailand): PME, 2021.'
ieee: M. Liebendörfer, R. Hochmuth, J. Rode, and S. Schukajlow, “The Mathematical
Beliefs and Interest Development of Pre-Service Primary Teachers,” in Interim
Proceedings of the 44th Conference of the International Group for the Psychology
of Mathematics Education, 2021, vol. 3, pp. 198–205.
mla: Liebendörfer, Michael, et al. “The Mathematical Beliefs and Interest Development
of Pre-Service Primary Teachers.” Interim Proceedings of the 44th Conference
of the International Group for the Psychology of Mathematics Education, edited
by M. Inprasitha et al., vol. 3, PME, 2021, pp. 198–205.
short: 'M. Liebendörfer, R. Hochmuth, J. Rode, S. Schukajlow, in: M. Inprasitha,
N. Changsri, N. Boonsena (Eds.), Interim Proceedings of the 44th Conference of
the International Group for the Psychology of Mathematics Education, PME, Khon
Kaen (Thailand), 2021, pp. 198–205.'
date_created: 2023-01-18T22:36:43Z
date_updated: 2023-01-18T22:49:04Z
department:
- _id: '10'
editor:
- first_name: M.
full_name: Inprasitha, M.
last_name: Inprasitha
- first_name: N.
full_name: Changsri, N.
last_name: Changsri
- first_name: N.
full_name: Boonsena, N.
last_name: Boonsena
intvolume: ' 3'
page: 198–205
place: Khon Kaen (Thailand)
publication: Interim Proceedings of the 44th Conference of the International Group
for the Psychology of Mathematics Education
publisher: PME
status: public
title: The Mathematical Beliefs and Interest Development of Pre-Service Primary Teachers
type: conference
user_id: '30933'
volume: 3
year: '2021'
...
---
_id: '37494'
author:
- first_name: Regula
full_name: Krapf, Regula
last_name: Krapf
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
citation:
ama: Krapf R, Liebendörfer M. Was bewirkt die Pflichtabgabe von Übungsaufgaben in
der Hochschulmathematik? – Ein empirischer Vergleich. mathematica didactica.
2021;2(44):1–17.
apa: Krapf, R., & Liebendörfer, M. (2021). Was bewirkt die Pflichtabgabe von
Übungsaufgaben in der Hochschulmathematik? – Ein empirischer Vergleich. Mathematica
Didactica, 2(44), 1–17.
bibtex: '@article{Krapf_Liebendörfer_2021, title={Was bewirkt die Pflichtabgabe
von Übungsaufgaben in der Hochschulmathematik? – Ein empirischer Vergleich}, volume={2},
number={44}, journal={mathematica didactica}, author={Krapf, Regula and Liebendörfer,
Michael}, year={2021}, pages={1–17} }'
chicago: 'Krapf, Regula, and Michael Liebendörfer. “Was Bewirkt Die Pflichtabgabe
von Übungsaufgaben in Der Hochschulmathematik? – Ein Empirischer Vergleich.” Mathematica
Didactica 2, no. 44 (2021): 1–17.'
ieee: R. Krapf and M. Liebendörfer, “Was bewirkt die Pflichtabgabe von Übungsaufgaben
in der Hochschulmathematik? – Ein empirischer Vergleich,” mathematica didactica,
vol. 2, no. 44, pp. 1–17, 2021.
mla: Krapf, Regula, and Michael Liebendörfer. “Was Bewirkt Die Pflichtabgabe von
Übungsaufgaben in Der Hochschulmathematik? – Ein Empirischer Vergleich.” Mathematica
Didactica, vol. 2, no. 44, 2021, pp. 1–17.
short: R. Krapf, M. Liebendörfer, Mathematica Didactica 2 (2021) 1–17.
date_created: 2023-01-18T22:39:08Z
date_updated: 2023-01-18T22:49:57Z
department:
- _id: '10'
intvolume: ' 2'
issue: '44'
keyword:
- Extrinsische Motivation
page: 1–17
publication: mathematica didactica
status: public
title: Was bewirkt die Pflichtabgabe von Übungsaufgaben in der Hochschulmathematik?
– Ein empirischer Vergleich
type: journal_article
user_id: '30933'
volume: 2
year: '2021'
...
---
_id: '35615'
article_number: '72'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. Suppressing blow-up by gradient-dependent flux limitation in a planar
Keller-Segel-Navier-Stokes system. Zeitschrift für Angewandte Mathematik und
Physik. 2021;72.
apa: Winkler, M. (2021). Suppressing blow-up by gradient-dependent flux limitation
in a planar Keller-Segel-Navier-Stokes system. Zeitschrift Für Angewandte Mathematik
Und Physik, 72, Article 72.
bibtex: '@article{Winkler_2021, title={Suppressing blow-up by gradient-dependent
flux limitation in a planar Keller-Segel-Navier-Stokes system.}, volume={72},
number={72}, journal={Zeitschrift für Angewandte Mathematik und Physik}, author={Winkler,
Michael}, year={2021} }'
chicago: Winkler, Michael. “Suppressing Blow-up by Gradient-Dependent Flux Limitation
in a Planar Keller-Segel-Navier-Stokes System.” Zeitschrift Für Angewandte
Mathematik Und Physik 72 (2021).
ieee: M. Winkler, “Suppressing blow-up by gradient-dependent flux limitation in
a planar Keller-Segel-Navier-Stokes system.,” Zeitschrift für Angewandte Mathematik
und Physik, vol. 72, Art. no. 72, 2021.
mla: Winkler, Michael. “Suppressing Blow-up by Gradient-Dependent Flux Limitation
in a Planar Keller-Segel-Navier-Stokes System.” Zeitschrift Für Angewandte
Mathematik Und Physik, vol. 72, 72, 2021.
short: M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
date_created: 2023-01-09T18:16:56Z
date_updated: 2023-01-20T13:14:53Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 72'
language:
- iso: eng
publication: Zeitschrift für Angewandte Mathematik und Physik
status: public
title: Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes
system.
type: journal_article
user_id: '15645'
volume: 72
year: '2021'
...
---
_id: '35614'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. Can rotational fluxes impede the tendency toward spatial homogeneity
in nutrient taxis (-Stokes) systems? International Mathematics Research Notices.
2021;2021:8106-8152.
apa: Winkler, M. (2021). Can rotational fluxes impede the tendency toward spatial
homogeneity in nutrient taxis (-Stokes) systems? International Mathematics
Research Notices, 2021, 8106–8152.
bibtex: '@article{Winkler_2021, title={Can rotational fluxes impede the tendency
toward spatial homogeneity in nutrient taxis (-Stokes) systems?}, volume={2021},
journal={International Mathematics Research Notices}, author={Winkler, Michael},
year={2021}, pages={8106–8152} }'
chicago: 'Winkler, Michael. “Can Rotational Fluxes Impede the Tendency toward Spatial
Homogeneity in Nutrient Taxis (-Stokes) Systems?” International Mathematics
Research Notices 2021 (2021): 8106–52.'
ieee: M. Winkler, “Can rotational fluxes impede the tendency toward spatial homogeneity
in nutrient taxis (-Stokes) systems?,” International Mathematics Research Notices,
vol. 2021, pp. 8106–8152, 2021.
mla: Winkler, Michael. “Can Rotational Fluxes Impede the Tendency toward Spatial
Homogeneity in Nutrient Taxis (-Stokes) Systems?” International Mathematics
Research Notices, vol. 2021, 2021, pp. 8106–52.
short: M. Winkler, International Mathematics Research Notices 2021 (2021) 8106–8152.
date_created: 2023-01-09T18:14:20Z
date_updated: 2023-01-20T13:14:58Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 2021'
language:
- iso: eng
page: 8106-8152
publication: International Mathematics Research Notices
status: public
title: Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient
taxis (-Stokes) systems?
type: journal_article
user_id: '15645'
volume: 2021
year: '2021'
...
---
_id: '35617'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. Boundedness in a three-dimensional Keller-Segel-Stokes system with
subcritical sensitivity. Applied Mathematics Letters. 2021;112:106785.
apa: Winkler, M. (2021). Boundedness in a three-dimensional Keller-Segel-Stokes
system with subcritical sensitivity. Applied Mathematics Letters, 112,
106785.
bibtex: '@article{Winkler_2021, title={Boundedness in a three-dimensional Keller-Segel-Stokes
system with subcritical sensitivity.}, volume={112}, journal={Applied Mathematics
Letters}, author={Winkler, Michael}, year={2021}, pages={106785} }'
chicago: 'Winkler, Michael. “Boundedness in a Three-Dimensional Keller-Segel-Stokes
System with Subcritical Sensitivity.” Applied Mathematics Letters 112 (2021):
106785.'
ieee: M. Winkler, “Boundedness in a three-dimensional Keller-Segel-Stokes system
with subcritical sensitivity.,” Applied Mathematics Letters, vol. 112,
p. 106785, 2021.
mla: Winkler, Michael. “Boundedness in a Three-Dimensional Keller-Segel-Stokes System
with Subcritical Sensitivity.” Applied Mathematics Letters, vol. 112, 2021,
p. 106785.
short: M. Winkler, Applied Mathematics Letters 112 (2021) 106785.
date_created: 2023-01-09T18:21:39Z
date_updated: 2023-01-20T13:14:48Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 112'
language:
- iso: eng
page: '106785'
publication: Applied Mathematics Letters
status: public
title: Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical
sensitivity.
type: journal_article
user_id: '15645'
volume: 112
year: '2021'
...
---
_id: '35613'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. Does spatial homogeneity ultimately prevail in nutrient taxis systems?
A paradigm for structure support by rapid diffusion decay in an autonomous parabolic
flow. Transactions of the American Mathematical Society. 2021;374:219-268.
apa: Winkler, M. (2021). Does spatial homogeneity ultimately prevail in nutrient
taxis systems? A paradigm for structure support by rapid diffusion decay in an
autonomous parabolic flow. Transactions of the American Mathematical Society,
374, 219–268.
bibtex: '@article{Winkler_2021, title={Does spatial homogeneity ultimately prevail
in nutrient taxis systems? A paradigm for structure support by rapid diffusion
decay in an autonomous parabolic flow.}, volume={374}, journal={Transactions of
the American Mathematical Society}, author={Winkler, Michael}, year={2021}, pages={219–268}
}'
chicago: 'Winkler, Michael. “Does Spatial Homogeneity Ultimately Prevail in Nutrient
Taxis Systems? A Paradigm for Structure Support by Rapid Diffusion Decay in an
Autonomous Parabolic Flow.” Transactions of the American Mathematical Society
374 (2021): 219–68.'
ieee: M. Winkler, “Does spatial homogeneity ultimately prevail in nutrient taxis
systems? A paradigm for structure support by rapid diffusion decay in an autonomous
parabolic flow.,” Transactions of the American Mathematical Society, vol.
374, pp. 219–268, 2021.
mla: Winkler, Michael. “Does Spatial Homogeneity Ultimately Prevail in Nutrient
Taxis Systems? A Paradigm for Structure Support by Rapid Diffusion Decay in an
Autonomous Parabolic Flow.” Transactions of the American Mathematical Society,
vol. 374, 2021, pp. 219–68.
short: M. Winkler, Transactions of the American Mathematical Society 374 (2021)
219–268.
date_created: 2023-01-09T18:11:15Z
date_updated: 2023-01-20T13:15:03Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 374'
language:
- iso: eng
page: 219-268
publication: Transactions of the American Mathematical Society
status: public
title: Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm
for structure support by rapid diffusion decay in an autonomous parabolic flow.
type: journal_article
user_id: '15645'
volume: 374
year: '2021'
...
---
_id: '37659'
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. Positive intertwiners for Bessel functions of type B. Proceedings
of the American Mathematical Society. 2021;149(3):1151-1163. doi:10.1090/proc/15312
apa: Rösler, M., & Voit, M. (2021). Positive intertwiners for Bessel functions
of type B. Proceedings of the American Mathematical Society, 149(3),
1151–1163. https://doi.org/10.1090/proc/15312
bibtex: '@article{Rösler_Voit_2021, title={Positive intertwiners for Bessel functions
of type B}, volume={149}, DOI={10.1090/proc/15312},
number={3}, journal={Proceedings of the American Mathematical Society}, publisher={American
Mathematical Society (AMS)}, author={Rösler, Margit and Voit, Michael}, year={2021},
pages={1151–1163} }'
chicago: 'Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions
of Type B.” Proceedings of the American Mathematical Society 149, no. 3
(2021): 1151–63. https://doi.org/10.1090/proc/15312.'
ieee: 'M. Rösler and M. Voit, “Positive intertwiners for Bessel functions of type
B,” Proceedings of the American Mathematical Society, vol. 149, no. 3,
pp. 1151–1163, 2021, doi: 10.1090/proc/15312.'
mla: Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions
of Type B.” Proceedings of the American Mathematical Society, vol. 149,
no. 3, American Mathematical Society (AMS), 2021, pp. 1151–63, doi:10.1090/proc/15312.
short: M. Rösler, M. Voit, Proceedings of the American Mathematical Society 149
(2021) 1151–1163.
date_created: 2023-01-20T09:22:12Z
date_updated: 2023-01-24T22:16:16Z
department:
- _id: '555'
doi: 10.1090/proc/15312
intvolume: ' 149'
issue: '3'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 1151-1163
publication: Proceedings of the American Mathematical Society
publication_identifier:
issn:
- 0002-9939
- 1088-6826
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: Positive intertwiners for Bessel functions of type B
type: journal_article
user_id: '37390'
volume: 149
year: '2021'
...
---
_id: '35603'
article_number: '109069'
author:
- first_name: Youshan
full_name: Tao, Youshan
last_name: Tao
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: 'Tao Y, Winkler M. A fully cross-diffusive two-component evolution system:
Existence and qualitative analysis via entropy-consistent thin-film-type approximation.
Journal of Functional Analysis. 2021;281.'
apa: 'Tao, Y., & Winkler, M. (2021). A fully cross-diffusive two-component evolution
system: Existence and qualitative analysis via entropy-consistent thin-film-type
approximation. Journal of Functional Analysis, 281, Article 109069.'
bibtex: '@article{Tao_Winkler_2021, title={A fully cross-diffusive two-component
evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type
approximation.}, volume={281}, number={109069}, journal={Journal of Functional
Analysis}, author={Tao, Youshan and Winkler, Michael}, year={2021} }'
chicago: 'Tao, Youshan, and Michael Winkler. “A Fully Cross-Diffusive Two-Component
Evolution System: Existence and Qualitative Analysis via Entropy-Consistent Thin-Film-Type
Approximation.” Journal of Functional Analysis 281 (2021).'
ieee: 'Y. Tao and M. Winkler, “A fully cross-diffusive two-component evolution system:
Existence and qualitative analysis via entropy-consistent thin-film-type approximation.,”
Journal of Functional Analysis, vol. 281, Art. no. 109069, 2021.'
mla: 'Tao, Youshan, and Michael Winkler. “A Fully Cross-Diffusive Two-Component
Evolution System: Existence and Qualitative Analysis via Entropy-Consistent Thin-Film-Type
Approximation.” Journal of Functional Analysis, vol. 281, 109069, 2021.'
short: Y. Tao, M. Winkler, Journal of Functional Analysis 281 (2021).
date_created: 2023-01-09T17:28:08Z
date_updated: 2023-02-01T10:18:18Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 281'
language:
- iso: eng
publication: Journal of Functional Analysis
status: public
title: 'A fully cross-diffusive two-component evolution system: Existence and qualitative
analysis via entropy-consistent thin-film-type approximation.'
type: journal_article
user_id: '15645'
volume: 281
year: '2021'
...
---
_id: '35612'
author:
- first_name: Yulan
full_name: Wang, Yulan
last_name: Wang
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
- first_name: Zhaoyin
full_name: Xiang, Zhaoyin
last_name: Xiang
citation:
ama: Wang Y, Winkler M, Xiang Z. Immediate regularization of measure-type population
densities in a two-dimensional chemotaxis system with signal consumption. Science
China Mathematics. 2021;64:725-746.
apa: Wang, Y., Winkler, M., & Xiang, Z. (2021). Immediate regularization of
measure-type population densities in a two-dimensional chemotaxis system with
signal consumption. Science China Mathematics, 64, 725–746.
bibtex: '@article{Wang_Winkler_Xiang_2021, title={Immediate regularization of measure-type
population densities in a two-dimensional chemotaxis system with signal consumption.},
volume={64}, journal={Science China Mathematics}, author={Wang, Yulan and Winkler,
Michael and Xiang, Zhaoyin}, year={2021}, pages={725–746} }'
chicago: 'Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Immediate Regularization
of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with
Signal Consumption.” Science China Mathematics 64 (2021): 725–46.'
ieee: Y. Wang, M. Winkler, and Z. Xiang, “Immediate regularization of measure-type
population densities in a two-dimensional chemotaxis system with signal consumption.,”
Science China Mathematics, vol. 64, pp. 725–746, 2021.
mla: Wang, Yulan, et al. “Immediate Regularization of Measure-Type Population Densities
in a Two-Dimensional Chemotaxis System with Signal Consumption.” Science China
Mathematics, vol. 64, 2021, pp. 725–46.
short: Y. Wang, M. Winkler, Z. Xiang, Science China Mathematics 64 (2021) 725–746.
date_created: 2023-01-09T18:06:08Z
date_updated: 2023-02-01T10:22:22Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 64'
language:
- iso: eng
page: 725-746
publication: Science China Mathematics
status: public
title: Immediate regularization of measure-type population densities in a two-dimensional
chemotaxis system with signal consumption.
type: journal_article
user_id: '15645'
volume: 64
year: '2021'
...
---
_id: '35605'
author:
- first_name: Youshan
full_name: Tao, Youshan
last_name: Tao
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Tao Y, Winkler M. Global smooth solutions in a two-dimensional cross-diffusion
system modeling propagation of urban crime. Communications in Mathematical
Sciences. 2021;19:829-849.
apa: Tao, Y., & Winkler, M. (2021). Global smooth solutions in a two-dimensional
cross-diffusion system modeling propagation of urban crime. Communications
in Mathematical Sciences, 19, 829–849.
bibtex: '@article{Tao_Winkler_2021, title={Global smooth solutions in a two-dimensional
cross-diffusion system modeling propagation of urban crime.}, volume={19}, journal={Communications
in Mathematical Sciences}, author={Tao, Youshan and Winkler, Michael}, year={2021},
pages={829–849} }'
chicago: 'Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Two-Dimensional
Cross-Diffusion System Modeling Propagation of Urban Crime.” Communications
in Mathematical Sciences 19 (2021): 829–49.'
ieee: Y. Tao and M. Winkler, “Global smooth solutions in a two-dimensional cross-diffusion
system modeling propagation of urban crime.,” Communications in Mathematical
Sciences, vol. 19, pp. 829–849, 2021.
mla: Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Two-Dimensional
Cross-Diffusion System Modeling Propagation of Urban Crime.” Communications
in Mathematical Sciences, vol. 19, 2021, pp. 829–49.
short: Y. Tao, M. Winkler, Communications in Mathematical Sciences 19 (2021) 829–849.
date_created: 2023-01-09T17:32:36Z
date_updated: 2023-02-01T10:23:03Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 19'
language:
- iso: eng
page: 829-849
publication: Communications in Mathematical Sciences
status: public
title: Global smooth solutions in a two-dimensional cross-diffusion system modeling
propagation of urban crime.
type: journal_article
user_id: '15645'
volume: 19
year: '2021'
...
---
_id: '35610'
author:
- first_name: Yulan
full_name: Wang, Yulan
last_name: Wang
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
- first_name: Zhaoyin
full_name: Xiang, Zhaoyin
last_name: Xiang
citation:
ama: Wang Y, Winkler M, Xiang Z. Local energy estimates and global solvability in
a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.
Communications in Partial Differential Equations. 2021;46:1058-1091.
apa: Wang, Y., Winkler, M., & Xiang, Z. (2021). Local energy estimates and global
solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal
on the boundary. Communications in Partial Differential Equations, 46,
1058–1091.
bibtex: '@article{Wang_Winkler_Xiang_2021, title={Local energy estimates and global
solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal
on the boundary.}, volume={46}, journal={Communications in Partial Differential
Equations}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021},
pages={1058–1091} }'
chicago: 'Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Local Energy Estimates
and Global Solvability in a Threee-Dimensional Chemotaxis-Fluid System with Prescribed
Signal on the Boundary.” Communications in Partial Differential Equations
46 (2021): 1058–91.'
ieee: Y. Wang, M. Winkler, and Z. Xiang, “Local energy estimates and global solvability
in a threee-dimensional chemotaxis-fluid system with prescribed signal on the
boundary.,” Communications in Partial Differential Equations, vol. 46,
pp. 1058–1091, 2021.
mla: Wang, Yulan, et al. “Local Energy Estimates and Global Solvability in a Threee-Dimensional
Chemotaxis-Fluid System with Prescribed Signal on the Boundary.” Communications
in Partial Differential Equations, vol. 46, 2021, pp. 1058–91.
short: Y. Wang, M. Winkler, Z. Xiang, Communications in Partial Differential Equations
46 (2021) 1058–1091.
date_created: 2023-01-09T18:00:41Z
date_updated: 2023-02-01T10:25:34Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 46'
language:
- iso: eng
page: 1058-1091
publication: Communications in Partial Differential Equations
status: public
title: Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid
system with prescribed signal on the boundary.
type: journal_article
user_id: '15645'
volume: 46
year: '2021'
...
---
_id: '35611'
author:
- first_name: Yulan
full_name: Wang, Yulan
last_name: Wang
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
- first_name: Zhaoyin
full_name: Xiang, Zhaoyin
last_name: Xiang
citation:
ama: Wang Y, Winkler M, Xiang Z. Global solvability in a threee-dimensional Keller-Segel.Stokes
system involving arbitrary superlinear logistic degradation. Advances in Nonlinear
Analysis. 2021;10:707-731.
apa: Wang, Y., Winkler, M., & Xiang, Z. (2021). Global solvability in a threee-dimensional
Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation.
Advances in Nonlinear Analysis, 10, 707–731.
bibtex: '@article{Wang_Winkler_Xiang_2021, title={Global solvability in a threee-dimensional
Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation},
volume={10}, journal={Advances in Nonlinear Analysis}, author={Wang, Yulan and
Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={707–731} }'
chicago: 'Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Solvability in
a Threee-Dimensional Keller-Segel.Stokes System Involving Arbitrary Superlinear
Logistic Degradation.” Advances in Nonlinear Analysis 10 (2021): 707–31.'
ieee: Y. Wang, M. Winkler, and Z. Xiang, “Global solvability in a threee-dimensional
Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation,”
Advances in Nonlinear Analysis, vol. 10, pp. 707–731, 2021.
mla: Wang, Yulan, et al. “Global Solvability in a Threee-Dimensional Keller-Segel.Stokes
System Involving Arbitrary Superlinear Logistic Degradation.” Advances in Nonlinear
Analysis, vol. 10, 2021, pp. 707–31.
short: Y. Wang, M. Winkler, Z. Xiang, Advances in Nonlinear Analysis 10 (2021) 707–731.
date_created: 2023-01-09T18:03:45Z
date_updated: 2023-02-01T10:27:17Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 10'
language:
- iso: eng
page: 707-731
publication: Advances in Nonlinear Analysis
status: public
title: Global solvability in a threee-dimensional Keller-Segel.Stokes system involving
arbitrary superlinear logistic degradation
type: journal_article
user_id: '15645'
volume: 10
year: '2021'
...
---
_id: '34840'
abstract:
- lang: eng
text: 'In this paper we obtain a complete list of imaginary n-quadratic fields with
class groups of exponent 3 and 5 under ERH for every positive integer n where
an n-quadratic field is a number field of degree 2ⁿ represented as the composite
of n quadratic fields. '
author:
- first_name: Jürgen
full_name: Klüners, Jürgen
id: '21202'
last_name: Klüners
- first_name: Toru
full_name: Komatsu, Toru
last_name: Komatsu
citation:
ama: Klüners J, Komatsu T. Imaginary multiquadratic number fields with class group
of exponent $3$ and $5$. Mathematics of Computation. 2021;90(329):1483-1497.
doi:10.1090/mcom/3609
apa: Klüners, J., & Komatsu, T. (2021). Imaginary multiquadratic number fields
with class group of exponent $3$ and $5$. Mathematics of Computation, 90(329),
1483–1497. https://doi.org/10.1090/mcom/3609
bibtex: '@article{Klüners_Komatsu_2021, title={Imaginary multiquadratic number fields
with class group of exponent $3$ and $5$}, volume={90}, DOI={10.1090/mcom/3609},
number={329}, journal={Mathematics of Computation}, publisher={American Mathematical
Society (AMS)}, author={Klüners, Jürgen and Komatsu, Toru}, year={2021}, pages={1483–1497}
}'
chicago: 'Klüners, Jürgen, and Toru Komatsu. “Imaginary Multiquadratic Number Fields
with Class Group of Exponent $3$ and $5$.” Mathematics of Computation 90,
no. 329 (2021): 1483–97. https://doi.org/10.1090/mcom/3609.'
ieee: 'J. Klüners and T. Komatsu, “Imaginary multiquadratic number fields with class
group of exponent $3$ and $5$,” Mathematics of Computation, vol. 90, no.
329, pp. 1483–1497, 2021, doi: 10.1090/mcom/3609.'
mla: Klüners, Jürgen, and Toru Komatsu. “Imaginary Multiquadratic Number Fields
with Class Group of Exponent $3$ and $5$.” Mathematics of Computation,
vol. 90, no. 329, American Mathematical Society (AMS), 2021, pp. 1483–97, doi:10.1090/mcom/3609.
short: J. Klüners, T. Komatsu, Mathematics of Computation 90 (2021) 1483–1497.
date_created: 2022-12-22T10:48:44Z
date_updated: 2023-03-06T08:57:45Z
department:
- _id: '102'
doi: 10.1090/mcom/3609
external_id:
arxiv:
- 2004.03308v2
intvolume: ' 90'
issue: '329'
keyword:
- Applied Mathematics
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 1483-1497
publication: Mathematics of Computation
publication_identifier:
issn:
- 0025-5718
- 1088-6842
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: Imaginary multiquadratic number fields with class group of exponent $3$ and
$5$
type: journal_article
user_id: '93826'
volume: 90
year: '2021'
...
---
_id: '34912'
abstract:
- lang: eng
text: 'Let E be an ordinary elliptic curve over a finite field and g be a positive
integer. Under some technical assumptions, we give an algorithm to span the isomorphism
classes of principally polarized abelian varieties in the isogeny class of E⁹
. The varieties are first described as hermitian lattices over (not necessarily
maximal) quadratic orders and then geometrically in terms of their algebraic theta
null point. We also show how to algebraically compute Siegel modular forms of
even weight given as polynomials in the theta constants by a careful choice of
an affine lift of the theta null point. We then use these results to give an algebraic
computation of Serre’s obstruction for principally polarized abelian threefolds
isogenous to E³ and of the Igusa modular form in dimension 4. We illustrate our
algorithms with examples of curves with many rational points over finite fields. '
author:
- first_name: Markus
full_name: Kirschmer, Markus
id: '82258'
last_name: Kirschmer
- first_name: Fabien
full_name: Narbonne, Fabien
last_name: Narbonne
- first_name: Christophe
full_name: Ritzenthaler, Christophe
last_name: Ritzenthaler
- first_name: Damien
full_name: Robert, Damien
last_name: Robert
citation:
ama: Kirschmer M, Narbonne F, Ritzenthaler C, Robert D. Spanning the isogeny class
of a power of an elliptic curve. Mathematics of Computation. 2021;91(333):401-449.
doi:10.1090/mcom/3672
apa: Kirschmer, M., Narbonne, F., Ritzenthaler, C., & Robert, D. (2021). Spanning
the isogeny class of a power of an elliptic curve. Mathematics of Computation,
91(333), 401–449. https://doi.org/10.1090/mcom/3672
bibtex: '@article{Kirschmer_Narbonne_Ritzenthaler_Robert_2021, title={Spanning the
isogeny class of a power of an elliptic curve}, volume={91}, DOI={10.1090/mcom/3672},
number={333}, journal={Mathematics of Computation}, publisher={American Mathematical
Society (AMS)}, author={Kirschmer, Markus and Narbonne, Fabien and Ritzenthaler,
Christophe and Robert, Damien}, year={2021}, pages={401–449} }'
chicago: 'Kirschmer, Markus, Fabien Narbonne, Christophe Ritzenthaler, and Damien
Robert. “Spanning the Isogeny Class of a Power of an Elliptic Curve.” Mathematics
of Computation 91, no. 333 (2021): 401–49. https://doi.org/10.1090/mcom/3672.'
ieee: 'M. Kirschmer, F. Narbonne, C. Ritzenthaler, and D. Robert, “Spanning the
isogeny class of a power of an elliptic curve,” Mathematics of Computation,
vol. 91, no. 333, pp. 401–449, 2021, doi: 10.1090/mcom/3672.'
mla: Kirschmer, Markus, et al. “Spanning the Isogeny Class of a Power of an Elliptic
Curve.” Mathematics of Computation, vol. 91, no. 333, American Mathematical
Society (AMS), 2021, pp. 401–49, doi:10.1090/mcom/3672.
short: M. Kirschmer, F. Narbonne, C. Ritzenthaler, D. Robert, Mathematics of Computation
91 (2021) 401–449.
date_created: 2022-12-23T11:02:02Z
date_updated: 2023-04-04T07:52:43Z
department:
- _id: '102'
doi: 10.1090/mcom/3672
intvolume: ' 91'
issue: '333'
keyword:
- Applied Mathematics
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 401-449
publication: Mathematics of Computation
publication_identifier:
issn:
- 0025-5718
- 1088-6842
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: Spanning the isogeny class of a power of an elliptic curve
type: journal_article
user_id: '93826'
volume: 91
year: '2021'
...