---
_id: '65550'
abstract:
- lang: eng
  text: "<p>\r\n                    We explain how to construct a uniformly random
    cubic integral domain\r\n                    <inline-formula content-type=\"math/mathml\">\r\n
    \                     <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"upper S\">\r\n                        <mml:semantics>\r\n                          <mml:mi>S</mml:mi>\r\n
    \                         <mml:annotation encoding=\"application/x-tex\">S</mml:annotation>\r\n
    \                       </mml:semantics>\r\n                      </mml:math>\r\n
    \                   </inline-formula>\r\n                    of given signature
    with\r\n                    <inline-formula content-type=\"math/mathml\">\r\n
    \                     <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"StartAbsoluteValue d i s c left-parenthesis upper S right-parenthesis
    EndAbsoluteValue less-than-or-equal-to upper T\">\r\n                        <mml:semantics>\r\n
    \                         <mml:mrow>\r\n                            <mml:mo fence=\"false\"
    stretchy=\"false\">\r\n                              |\r\n                              \r\n
    \                           </mml:mo>\r\n                            <mml:mi>d</mml:mi>\r\n
    \                           <mml:mi>i</mml:mi>\r\n                            <mml:mi>s</mml:mi>\r\n
    \                           <mml:mi>c</mml:mi>\r\n                            <mml:mo
    stretchy=\"false\">(</mml:mo>\r\n                            <mml:mi>S</mml:mi>\r\n
    \                           <mml:mo stretchy=\"false\">)</mml:mo>\r\n                            <mml:mo
    fence=\"false\" stretchy=\"false\">\r\n                              |\r\n                              \r\n
    \                           </mml:mo>\r\n                            <mml:mo>\r\n
    \                             ≤\r\n                              \r\n                            </mml:mo>\r\n
    \                           <mml:mi>T</mml:mi>\r\n                          </mml:mrow>\r\n
    \                         <mml:annotation encoding=\"application/x-tex\">\\lvert
    disc(S)\\rvert \\leq T</mml:annotation>\r\n                        </mml:semantics>\r\n
    \                     </mml:math>\r\n                    </inline-formula>\r\n
    \                   in expected time\r\n                    <inline-formula content-type=\"math/tex\">\r\n
    \                     <tex-math>\\widetilde \\mathcal {O}(\\log T)</tex-math>\r\n
    \                   </inline-formula>\r\n                    .\r\n                  </p>"
author:
- first_name: Fabian
  full_name: Gundlach, Fabian
  id: '100450'
  last_name: Gundlach
citation:
  ama: 'Gundlach F. Sampling cubic rings. In: <i>Contemporary Mathematics</i>. American
    Mathematical Society; 2026. doi:<a href="https://doi.org/10.1090/conm/840/16804">10.1090/conm/840/16804</a>'
  apa: Gundlach, F. (2026). Sampling cubic rings. In <i>Contemporary Mathematics</i>.
    American Mathematical Society. <a href="https://doi.org/10.1090/conm/840/16804">https://doi.org/10.1090/conm/840/16804</a>
  bibtex: '@inbook{Gundlach_2026, place={Providence, Rhode Island}, title={Sampling
    cubic rings}, DOI={<a href="https://doi.org/10.1090/conm/840/16804">10.1090/conm/840/16804</a>},
    booktitle={Contemporary Mathematics}, publisher={American Mathematical Society},
    author={Gundlach, Fabian}, year={2026} }'
  chicago: 'Gundlach, Fabian. “Sampling Cubic Rings.” In <i>Contemporary Mathematics</i>.
    Providence, Rhode Island: American Mathematical Society, 2026. <a href="https://doi.org/10.1090/conm/840/16804">https://doi.org/10.1090/conm/840/16804</a>.'
  ieee: 'F. Gundlach, “Sampling cubic rings,” in <i>Contemporary Mathematics</i>,
    Providence, Rhode Island: American Mathematical Society, 2026.'
  mla: Gundlach, Fabian. “Sampling Cubic Rings.” <i>Contemporary Mathematics</i>,
    American Mathematical Society, 2026, doi:<a href="https://doi.org/10.1090/conm/840/16804">10.1090/conm/840/16804</a>.
  short: 'F. Gundlach, in: Contemporary Mathematics, American Mathematical Society,
    Providence, Rhode Island, 2026.'
date_created: 2026-05-04T15:31:12Z
date_updated: 2026-05-04T15:32:12Z
doi: 10.1090/conm/840/16804
language:
- iso: eng
place: Providence, Rhode Island
publication: Contemporary Mathematics
publication_identifier:
  isbn:
  - '9781470485702'
  - '9781470480325'
  issn:
  - 0271-4132
  - 1098-3627
publication_status: published
publisher: American Mathematical Society
status: public
title: Sampling cubic rings
type: book_chapter
user_id: '100450'
year: '2026'
...
---
_id: '66296'
abstract:
- lang: eng
  text: <p>In this paper, we elaborate ring theoretic properties of nodal orders.
    In particular, we prove that they are closed under taking crossed products with
    finite groups.</p>
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: Yuriy
  full_name: Drozd, Yuriy
  last_name: Drozd
citation:
  ama: 'Burban I, Drozd Y. Some aspects of the theory of nodal orders. In: <i>Contemporary
    Mathematics</i>. American Mathematical Society; 2025. doi:<a href="https://doi.org/10.1090/conm/829/16543">10.1090/conm/829/16543</a>'
  apa: Burban, I., &#38; Drozd, Y. (2025). Some aspects of the theory of nodal orders.
    In <i>Contemporary Mathematics</i>. American Mathematical Society. <a href="https://doi.org/10.1090/conm/829/16543">https://doi.org/10.1090/conm/829/16543</a>
  bibtex: '@inbook{Burban_Drozd_2025, place={Providence, Rhode Island}, title={Some
    aspects of the theory of nodal orders}, DOI={<a href="https://doi.org/10.1090/conm/829/16543">10.1090/conm/829/16543</a>},
    booktitle={Contemporary Mathematics}, publisher={American Mathematical Society},
    author={Burban, Igor and Drozd, Yuriy}, year={2025} }'
  chicago: 'Burban, Igor, and Yuriy Drozd. “Some Aspects of the Theory of Nodal Orders.”
    In <i>Contemporary Mathematics</i>. Providence, Rhode Island: American Mathematical
    Society, 2025. <a href="https://doi.org/10.1090/conm/829/16543">https://doi.org/10.1090/conm/829/16543</a>.'
  ieee: 'I. Burban and Y. Drozd, “Some aspects of the theory of nodal orders,” in
    <i>Contemporary Mathematics</i>, Providence, Rhode Island: American Mathematical
    Society, 2025.'
  mla: Burban, Igor, and Yuriy Drozd. “Some Aspects of the Theory of Nodal Orders.”
    <i>Contemporary Mathematics</i>, American Mathematical Society, 2025, doi:<a href="https://doi.org/10.1090/conm/829/16543">10.1090/conm/829/16543</a>.
  short: 'I. Burban, Y. Drozd, in: Contemporary Mathematics, American Mathematical
    Society, Providence, Rhode Island, 2025.'
date_created: 2026-07-07T06:35:21Z
date_updated: 2026-07-07T06:35:36Z
doi: 10.1090/conm/829/16543
language:
- iso: eng
place: Providence, Rhode Island
publication: Contemporary Mathematics
publication_identifier:
  isbn:
  - '9781470481049'
  - '9781470476199'
  issn:
  - 0271-4132
  - 1098-3627
publication_status: published
publisher: American Mathematical Society
status: public
title: Some aspects of the theory of nodal orders
type: book_chapter
user_id: '72064'
year: '2025'
...
---
_id: '66297'
abstract:
- lang: eng
  text: <p>The goal of this paper is to give an explicit computation of the curvature
    of the magnetic vector bundle of the multi-layer model of the fractional quantum
    Hall effect on a torus. We also obtain concrete formulae for the norms of the
    corresponding wave functions arising in such models.</p>
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: Semyon
  full_name: Klevtsov, Semyon
  last_name: Klevtsov
citation:
  ama: 'Burban I, Klevtsov S. Norms of wave functions for FQHE models on a torus.
    In: <i>Contemporary Mathematics</i>. American Mathematical Society; 2025. doi:<a
    href="https://doi.org/10.1090/conm/829/16544">10.1090/conm/829/16544</a>'
  apa: Burban, I., &#38; Klevtsov, S. (2025). Norms of wave functions for FQHE models
    on a torus. In <i>Contemporary Mathematics</i>. American Mathematical Society.
    <a href="https://doi.org/10.1090/conm/829/16544">https://doi.org/10.1090/conm/829/16544</a>
  bibtex: '@inbook{Burban_Klevtsov_2025, place={Providence, Rhode Island}, title={Norms
    of wave functions for FQHE models on a torus}, DOI={<a href="https://doi.org/10.1090/conm/829/16544">10.1090/conm/829/16544</a>},
    booktitle={Contemporary Mathematics}, publisher={American Mathematical Society},
    author={Burban, Igor and Klevtsov, Semyon}, year={2025} }'
  chicago: 'Burban, Igor, and Semyon Klevtsov. “Norms of Wave Functions for FQHE Models
    on a Torus.” In <i>Contemporary Mathematics</i>. Providence, Rhode Island: American
    Mathematical Society, 2025. <a href="https://doi.org/10.1090/conm/829/16544">https://doi.org/10.1090/conm/829/16544</a>.'
  ieee: 'I. Burban and S. Klevtsov, “Norms of wave functions for FQHE models on a
    torus,” in <i>Contemporary Mathematics</i>, Providence, Rhode Island: American
    Mathematical Society, 2025.'
  mla: Burban, Igor, and Semyon Klevtsov. “Norms of Wave Functions for FQHE Models
    on a Torus.” <i>Contemporary Mathematics</i>, American Mathematical Society, 2025,
    doi:<a href="https://doi.org/10.1090/conm/829/16544">10.1090/conm/829/16544</a>.
  short: 'I. Burban, S. Klevtsov, in: Contemporary Mathematics, American Mathematical
    Society, Providence, Rhode Island, 2025.'
date_created: 2026-07-07T06:37:04Z
date_updated: 2026-07-07T06:37:18Z
doi: 10.1090/conm/829/16544
language:
- iso: eng
place: Providence, Rhode Island
publication: Contemporary Mathematics
publication_identifier:
  isbn:
  - '9781470481049'
  - '9781470476199'
  issn:
  - 0271-4132
  - 1098-3627
publication_status: published
publisher: American Mathematical Society
status: public
title: Norms of wave functions for FQHE models on a torus
type: book_chapter
user_id: '72064'
year: '2025'
...
---
_id: '64643'
citation:
  ama: Glöckner H, Escassut A, Shamseddine K, eds. <i>Advances in Non-Archimedean
    Analysis. 13th International Conference on p-Adic Functional Analysis, University
    of Paderborn, Paderborn, Germany, August 12--16, 2014</i>.; 2016. doi:<a href="https://doi.org/10.1090/conm/665">10.1090/conm/665</a>
  apa: Glöckner, H., Escassut, A., &#38; Shamseddine, K. (Eds.). (2016). <i>Advances
    in non-Archimedean Analysis. 13th international conference on p-adic functional
    analysis, University of Paderborn, Paderborn, Germany, August 12--16, 2014</i>.
    <a href="https://doi.org/10.1090/conm/665">https://doi.org/10.1090/conm/665</a>
  bibtex: '@book{Glöckner_Escassut_Shamseddine_2016, title={Advances in non-Archimedean
    Analysis. 13th international conference on p-adic functional analysis, University
    of Paderborn, Paderborn, Germany, August 12--16, 2014}, DOI={<a href="https://doi.org/10.1090/conm/665">10.1090/conm/665</a>},
    year={2016} }'
  chicago: Glöckner, Helge, Alain Escassut, and Khodr Shamseddine, eds. <i>Advances
    in Non-Archimedean Analysis. 13th International Conference on p-Adic Functional
    Analysis, University of Paderborn, Paderborn, Germany, August 12--16, 2014</i>,
    2016. <a href="https://doi.org/10.1090/conm/665">https://doi.org/10.1090/conm/665</a>.
  ieee: H. Glöckner, A. Escassut, and K. Shamseddine, Eds., <i>Advances in non-Archimedean
    Analysis. 13th international conference on p-adic functional analysis, University
    of Paderborn, Paderborn, Germany, August 12--16, 2014</i>. 2016.
  mla: Glöckner, Helge, et al., editors. <i>Advances in Non-Archimedean Analysis.
    13th International Conference on p-Adic Functional Analysis, University of Paderborn,
    Paderborn, Germany, August 12--16, 2014</i>. 2016, doi:<a href="https://doi.org/10.1090/conm/665">10.1090/conm/665</a>.
  short: H. Glöckner, A. Escassut, K. Shamseddine, eds., Advances in Non-Archimedean
    Analysis. 13th International Conference on p-Adic Functional Analysis, University
    of Paderborn, Paderborn, Germany, August 12--16, 2014, 2016.
conference:
  end_date: 2014-08-16
  location: Paderborn
  name: 13th international conference on p-adic functional analysis
  start_date: 2014-08-12
date_created: 2026-02-26T07:52:11Z
date_updated: 2026-02-26T08:17:42Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1090/conm/665
editor:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Alain
  full_name: Escassut, Alain
  last_name: Escassut
- first_name: Khodr
  full_name: Shamseddine, Khodr
  last_name: Shamseddine
language:
- iso: eng
publication_identifier:
  isbn:
  - 978-1-4704-1988-2; 978-1-4704-3204-1
  issn:
  - 0271-4132
quality_controlled: '1'
status: public
title: Advances in non-Archimedean Analysis. 13th international conference on p-adic
  functional analysis, University of Paderborn, Paderborn, Germany, August 12--16,
  2014
type: book_editor
user_id: '178'
year: '2016'
...
---
_id: '40209'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: 'Rösler M. Convolution algebras which are not necessarily positivity-preserving.
    In: <i>Applications of Hypergroups and Related Measure Algebras</i>. Vol 183.
    Contemporary Mathematics. American Mathematical Society; 1995:299–318. doi:<a
    href="https://doi.org/10.1090/conm/183/02068">10.1090/conm/183/02068</a>'
  apa: Rösler, M. (1995). Convolution algebras which are not necessarily positivity-preserving.
    <i>Applications of Hypergroups and Related Measure Algebras</i>, <i>183</i>, 299–318.
    <a href="https://doi.org/10.1090/conm/183/02068">https://doi.org/10.1090/conm/183/02068</a>
  bibtex: '@inproceedings{Rösler_1995, place={Providence, Rhode Island}, series={Contemporary
    Mathematics}, title={Convolution algebras which are not necessarily positivity-preserving},
    volume={183}, DOI={<a href="https://doi.org/10.1090/conm/183/02068">10.1090/conm/183/02068</a>},
    booktitle={Applications of Hypergroups and Related Measure Algebras}, publisher={American
    Mathematical Society}, author={Rösler, Margit}, year={1995}, pages={299–318},
    collection={Contemporary Mathematics} }'
  chicago: 'Rösler, Margit. “Convolution Algebras Which Are Not Necessarily Positivity-Preserving.”
    In <i>Applications of Hypergroups and Related Measure Algebras</i>, 183:299–318.
    Contemporary Mathematics. Providence, Rhode Island: American Mathematical Society,
    1995. <a href="https://doi.org/10.1090/conm/183/02068">https://doi.org/10.1090/conm/183/02068</a>.'
  ieee: 'M. Rösler, “Convolution algebras which are not necessarily positivity-preserving,”
    in <i>Applications of Hypergroups and Related Measure Algebras</i>, 1995, vol.
    183, pp. 299–318, doi: <a href="https://doi.org/10.1090/conm/183/02068">10.1090/conm/183/02068</a>.'
  mla: Rösler, Margit. “Convolution Algebras Which Are Not Necessarily Positivity-Preserving.”
    <i>Applications of Hypergroups and Related Measure Algebras</i>, vol. 183, American
    Mathematical Society, 1995, pp. 299–318, doi:<a href="https://doi.org/10.1090/conm/183/02068">10.1090/conm/183/02068</a>.
  short: 'M. Rösler, in: Applications of Hypergroups and Related Measure Algebras,
    American Mathematical Society, Providence, Rhode Island, 1995, pp. 299–318.'
conference:
  name: Seattle, WA, 1993
date_created: 2023-01-26T08:47:06Z
date_updated: 2023-01-26T17:40:32Z
department:
- _id: '555'
doi: 10.1090/conm/183/02068
extern: '1'
intvolume: '       183'
language:
- iso: eng
page: 299–318
place: Providence, Rhode Island
publication: Applications of Hypergroups and Related Measure Algebras
publication_identifier:
  issn:
  - 1098-3627
  - 0271-4132
publication_status: published
publisher: American Mathematical Society
series_title: Contemporary Mathematics
status: public
title: Convolution algebras which are not necessarily positivity-preserving
type: conference
user_id: '37390'
volume: 183
year: '1995'
...