{"id":8,"date":"2023-06-29T16:49:07","date_gmt":"2023-06-29T20:49:07","guid":{"rendered":"https:\/\/sites.temple.edu\/lpeilen\/?page_id=8"},"modified":"2025-12-02T10:27:17","modified_gmt":"2025-12-02T15:27:17","slug":"research","status":"publish","type":"page","link":"https:\/\/sites.temple.edu\/lpeilen\/research\/","title":{"rendered":"Research"},"content":{"rendered":"\n

Preprints<\/h2>\n\n\n\n
L. Peilen<\/strong>, S. Serfaty. “Local laws and fluctuations for super-Coulombic Riesz gases,” with an appendix by X. Ros-Oton. arXiv: 2511.18623, November 2025. pdf<\/a>

D. Padilla-Garza, L<\/strong>. Peilen<\/strong>, E. Thoma. “Poisson Statistics for Coulomb Gases at Intermediate Temperature Regimes.” arXiv: 2507.08198, July 2025. <\/em>pdf<\/a>

K. Isham, N. Kaplan, S. Kimport, R. Lawrence, L. Peilen<\/strong>, M. Weinreich. “Configurations of 10 points and their incidence varieties.” arXiv: 2507.09829, July 2025. pdf<\/a>

D. Padilla-Garza, L<\/strong>. Peilen<\/strong>, E. Thoma. “Emergence of a Poisson process in weakly interacting particle systems.” arXiv: 2405.02625, May 2024, submitted.<\/em> pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Journal Publications<\/h2>\n\n\n\n
L<\/strong>. Peilen. <\/strong>“On the Maximum of the Potential of a General Two-Dimensional Coulomb Gas.” Electronic Communications in Probability, <\/em>vol. 30, 2025, pp. 1-17. published version<\/a>

L. Peilen.<\/strong> “Local Laws and a Mesoscopic CLT for \u03b2-Ensembles.” Communications on Pure and Applied Mathematics<\/em>, vol. 77, no. 4, 2024, pp. 2452-2567. <\/em>pdf<\/a>

A. Cerbu, E. Gunther, M. Magee, L. Peilen<\/strong>. “The Cycle Structure of a Markoff Automorphism over Finite Fields.” Journal of Number Theory,<\/em> vol. 211, 2020, pp. 1-27. pdf<\/a>

A. Cerbu, S. Marcus, L. Peilen<\/strong>, D. Ranganathan, A. Salmon. “Topology of tropical moduli of weighted stable curves.” Advances in Geometry, <\/em>vol. 20, no. 4, 2020, pp. 445-462. pdf<\/a>

N. Kaplan, S. Kimport, R. Lawrence, L. Peilen<\/strong>, M. Weinreich. “Counting Arcs in Projective Planes via Glynn’s Algorithm.” Journal of Geometry<\/em>, vol. 108, no. 3, 2017, pp. 1013-1029. pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Preprints L. Peilen, S. Serfaty. “Local laws and fluctuations for super-Coulombic Riesz gases,” with an appendix by X. Ros-Oton. arXiv: 2511.18623, November 2025. pdf D. Padilla-Garza, L. Peilen, E. Thoma. “Poisson Statistics for Coulomb Gases at Intermediate Temperature Regimes.” arXiv: 2507.08198, July 2025. pdf K. Isham, N. Kaplan, S. Kimport, R. Lawrence, L. Peilen, M.… Continue reading Research<\/span><\/a><\/p>\n","protected":false},"author":35699,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-8","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/sites.temple.edu\/lpeilen\/wp-json\/wp\/v2\/pages\/8","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.temple.edu\/lpeilen\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.temple.edu\/lpeilen\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.temple.edu\/lpeilen\/wp-json\/wp\/v2\/users\/35699"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.temple.edu\/lpeilen\/wp-json\/wp\/v2\/comments?post=8"}],"version-history":[{"count":19,"href":"https:\/\/sites.temple.edu\/lpeilen\/wp-json\/wp\/v2\/pages\/8\/revisions"}],"predecessor-version":[{"id":123,"href":"https:\/\/sites.temple.edu\/lpeilen\/wp-json\/wp\/v2\/pages\/8\/revisions\/123"}],"wp:attachment":[{"href":"https:\/\/sites.temple.edu\/lpeilen\/wp-json\/wp\/v2\/media?parent=8"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}