[{"_id":"66296","publisher":"American Mathematical Society","language":[{"iso":"eng"}],"doi":"10.1090/conm/829/16543","user_id":"72064","author":[{"full_name":"Burban, Igor","first_name":"Igor","last_name":"Burban","id":"72064"},{"first_name":"Yuriy","last_name":"Drozd","full_name":"Drozd, Yuriy"}],"publication_identifier":{"issn":["0271-4132","1098-3627"],"isbn":["9781470481049","9781470476199"]},"status":"public","title":"Some aspects of the theory of nodal orders","year":"2025","date_updated":"2026-07-07T06:35:36Z","publication_status":"published","place":"Providence, Rhode Island","date_created":"2026-07-07T06:35:21Z","type":"book_chapter","citation":{"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.","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>."},"publication":"Contemporary Mathematics","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>"}]},{"user_id":"72064","doi":"10.1090/conm/829/16544","publisher":"American Mathematical Society","_id":"66297","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2026-07-07T06:37:18Z","status":"public","year":"2025","title":"Norms of wave functions for FQHE models on a torus","author":[{"full_name":"Burban, Igor","last_name":"Burban","first_name":"Igor","id":"72064"},{"full_name":"Klevtsov, Semyon","last_name":"Klevtsov","first_name":"Semyon"}],"publication_identifier":{"isbn":["9781470481049","9781470476199"],"issn":["0271-4132","1098-3627"]},"type":"book_chapter","date_created":"2026-07-07T06:37:04Z","place":"Providence, Rhode Island","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>"}],"publication":"Contemporary Mathematics","citation":{"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>.","short":"I. Burban, S. Klevtsov, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 2025.","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>."}}]