[{"type":"book_chapter","place":"Providence, Rhode Island","date_created":"2026-05-04T15:31:12Z","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>"}],"publication":"Contemporary Mathematics","citation":{"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>.","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>","short":"F. Gundlach, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 2026.","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} }","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>.","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>","ieee":"F. Gundlach, “Sampling cubic rings,” in <i>Contemporary Mathematics</i>, Providence, Rhode Island: American Mathematical Society, 2026."},"doi":"10.1090/conm/840/16804","user_id":"100450","_id":"65550","language":[{"iso":"eng"}],"publisher":"American Mathematical Society","date_updated":"2026-05-04T15:32:12Z","publication_status":"published","year":"2026","title":"Sampling cubic rings","status":"public","author":[{"id":"100450","full_name":"Gundlach, Fabian","last_name":"Gundlach","first_name":"Fabian"}],"publication_identifier":{"isbn":["9781470485702","9781470480325"],"issn":["0271-4132","1098-3627"]}},{"publication":"Contemporary Mathematics","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>","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} }","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>.","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>.","short":"I. Burban, Y. Drozd, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 2025.","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>","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."},"abstract":[{"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>","lang":"eng"}],"place":"Providence, Rhode Island","date_created":"2026-07-07T06:35:21Z","type":"book_chapter","title":"Some aspects of the theory of nodal orders","status":"public","year":"2025","publication_identifier":{"issn":["0271-4132","1098-3627"],"isbn":["9781470481049","9781470476199"]},"author":[{"full_name":"Burban, Igor","first_name":"Igor","last_name":"Burban","id":"72064"},{"first_name":"Yuriy","last_name":"Drozd","full_name":"Drozd, Yuriy"}],"date_updated":"2026-07-07T06:35:36Z","publication_status":"published","_id":"66296","publisher":"American Mathematical Society","language":[{"iso":"eng"}],"doi":"10.1090/conm/829/16543","user_id":"72064"},{"date_created":"2026-07-07T06:37:04Z","place":"Providence, Rhode Island","type":"book_chapter","publication":"Contemporary Mathematics","citation":{"short":"I. Burban, S. Klevtsov, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 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>.","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>","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.","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>","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} }","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>."},"abstract":[{"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>","lang":"eng"}],"language":[{"iso":"eng"}],"_id":"66297","publisher":"American Mathematical Society","user_id":"72064","doi":"10.1090/conm/829/16544","status":"public","year":"2025","title":"Norms of wave functions for FQHE models on a torus","author":[{"first_name":"Igor","last_name":"Burban","full_name":"Burban, Igor","id":"72064"},{"last_name":"Klevtsov","first_name":"Semyon","full_name":"Klevtsov, Semyon"}],"publication_identifier":{"isbn":["9781470481049","9781470476199"],"issn":["0271-4132","1098-3627"]},"publication_status":"published","date_updated":"2026-07-07T06:37:18Z"},{"series_title":"Contemporary Mathematics","language":[{"iso":"eng"}],"doi":"10.1090/conm/183/02068","title":"Convolution algebras which are not necessarily positivity-preserving","year":"1995","publication_identifier":{"issn":["1098-3627","0271-4132"]},"author":[{"id":"37390","full_name":"Rösler, Margit","first_name":"Margit","last_name":"Rösler"}],"date_updated":"2023-01-26T17:40:32Z","publication_status":"published","intvolume":"       183","date_created":"2023-01-26T08:47:06Z","type":"conference","department":[{"_id":"555"}],"publication":"Applications of Hypergroups and Related Measure Algebras","extern":"1","page":"299–318","publisher":"American Mathematical Society","_id":"40209","user_id":"37390","volume":183,"status":"public","conference":{"name":"Seattle, WA, 1993"},"place":"Providence, Rhode Island","citation":{"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} }","short":"M. Rösler, in: Applications of Hypergroups and Related Measure Algebras, American Mathematical Society, Providence, Rhode Island, 1995, pp. 299–318.","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>","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>.","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>"}}]
