- Classification of horocycle orbit closures in $\mathbb{Z}$-covers, Submitted, 2024. (with James Farre and Yair Minsky)
- Minimizing laminations in regular covers, horospherical orbit closures, and circle-valued Lipschitz maps, Submitted, 2023. (with James Farre and Yair Minsky)
- On denseness of horospheres in higher rank homogeneous spaces, Ergodic Theory and Dynamical Systems, 2024 (arxiv). (with Hee Oh)
- Horospherical invariant measures and a rank dichotomy for Anosov groups, Journal of Modern Dynamics, 2023 (arxiv). (with Minju Lee, Elon Lindenstrauss and Hee Oh)
- The Hopf-Tsuji-Sullivan dichotomy in higher rank and applications to Anosov subgroups, Journal of Modern Dynamics, 2023 (arxiv). (with Marc Burger, Minju Lee and Hee Oh)
- Horospherically invariant measures and finitely generated Kleinian groups, Journal of Modern Dynamics, 2020 (arxiv).
- On Radon Measures Invariant Under Horospherical Flows on Geometrically Infinite Quotients, International Mathematics Research Notices, 2019 (arxiv). (with Elon Lindenstrauss)
- On Bernoulli Convolutions and the Projection of Ergodic Measures, M.Sc. dissertation, 2014.
- Odd examples of horocycle orbit closures (temporary title). (with Françoise Dal'Bo, James Farre and Yair Minsky)
Publications
In preparation:
- (Non-)Rigidity of Horocycle Orbit Closures in $\mathbb{Z}$-covers, New Frontiers in Parabolic Dynamics and Renormalization in Bologna, June 2024
- Classification of Horocycle Orbit Closures in $\mathbb{Z}$-covers, Institut de Recherche Mathématique de Rennes (CNRS), Seminar, January 2024
- Classification of Horocycle Orbit Closures in $\mathbb{Z}$-covers, Yale Group Actions, Geometry, and Dynamics seminar, October 2023
- On Denseness of Horospheres in Higher-Rank, Hebrew University Dynamics Seminar, May 2023
- Non-Rigidity of Horocycle Orbit Closures in Geometrically Infinite Surfaces, Boston College Geometry, Topology and Dynamics Seminar, April 2023
- Non-Rigidity of Horocycle Orbit Closures in Geometrically Infinite Surfaces, UC San Diego Group Actions Seminar, February 2023
- Non-Rigidity of Horocycle Orbit Closures in Geometrically Infinite Surfaces, Special Year Research Seminar at the IAS, January 2023
- Horospherical group actions and rigidity of infinite measures in higher rank, Ergodic Theory and Beyond in Jerusalem, July 2022
- Horospherical group actions and rigidity of infinite measures in higher rank, Ergodic geometry, number theory and Margulis' legacy: the next generation in Chicago, June 2022
- On denseness of horospheres in higher rank homogeneous spaces, Northwestern University dynamics seminar, March 2022
- Horospherically invariant measures on geometrically infinite quotients, Midwest dynamics and group actions seminar (via Zoom), May 2020
- Horospherically invariant measures on geometrically infinite quotients, Zurich ETDS seminar (ETH & UZH), December 2019
- On Radon Measures Invariant Under Horospherical Flows on Geometrically Infinite Manifolds, special dynamics seminar, at the IAS in Princeton, October 2019
- On Radon Measures Invariant Under Horospherical Flows on Geometrically Infinite Quotients, talk at the 22nd Midrasha Mathematicae, at the IIAS in Jerusalem, May 2019
- Infinite Ergodic Theory and Geometry, poster presentation at the 4th Kavli Frontiers of Science Symposium in Jerusalem, September 2019
Talks and Presentations
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