Publications
On the equidistribution of closed geodesics and geodesic nets, with Xinze Li. Transactions of the American Mathematical Society, 376(12):8825–8855, 2023.
Generic density of geodesic nets, with Yevgeny Liokumovich. Selecta Mathematica - New Series, 30(14), 2024.
Bumpy metrics theorem for geodesic nets, Journal of Topology and Analysis, DOI: 10.1142/S1793525323500425.
Preprints
Parametric coarea inequality for 1-cycles. arxiv.org/abs/2410.23195.
Weyl law for 1-cycles. arxiv.org/abs/2410.23192 .
Upcoming talks
Weyl Laws Across Mathematics Workshop. Brin Mathematics Research Center. University of Maryland, May 5-9, 2025.
Talks
Weyl law for 1-cycles and applications. Systolic and Diastolic Geometry Conference. Short talks. IMPA, Rio de Janeiro. March 20, 2025.
Weyl law for 1-cycles and applications. Metric Analysis Trimester Program at the Hausdorff Institute for Mathematics, University of Bonn. Weekly Seminar. March 13, 2025.
Weyl law for 1-cycles. Caltech Geometry and Topology Seminar. January 24, 2025.
Weyl law for the volume spectrum and applications. University of Buenos Aires, Topology Seminar. December 12, 2024.
Weyl law for 1-cycles in arbitrary manifolds. University of Toronto, Geometry and Topology Seminar. March 25, 2024.
On the equidistribution of closed geodesics and geodesic nets. Rice University, Geometry Seminar. March 6, 2024.
Generic density of geodesic nets. CMS Winter Meeting 2023, Hilton Doubletree, Montreal, Quebec. Geometric Partial Differential Equations Session.
A brief introduction to Almgren-Pitts Min-Max theory. Bird’s eye conference 2023, University of Toronto. March 4-5, 2023.
On density and equidistribution of stationary geodesic nets. CMS Summer Meeting 2022, Memorial University, St. John's, Newfoundland. Students research talks.