Preprints
L. Peilen, S. Serfaty. "Local laws and fluctuations for super-Coulombic Riesz gases," with an appendix by X. Ros-Oton. arXiv: 2511.18623, December 2025, submitted. pdf
D. Padilla-Garza, L. Peilen, E. Thoma. "Poisson Statistics for Coulomb Gases at Intermediate Temperature Regimes." arXiv: 2507.08198, July 2025. Under revision at Annales de l'Institut Henri Poincaré. pdf
K. Isham, N. Kaplan, S. Kimport, R. Lawrence, L. Peilen, M. Weinreich. "Configurations of 10 points and their incidence varieties." arXiv: 2507.09829, July 2025. Under revision at Computational and Discrete Geometry. pdf
D. Padilla-Garza, L. Peilen, E. Thoma. "Emergence of a Poisson process in weakly interacting particle systems." arXiv: 2405.02625, May 2024, submitted. pdf
Published Articles
L. Peilen. "On the Maximum of the Potential of a General Two-Dimensional Coulomb Gas." Electronic Communications in Probability, vol. 30, 2025, pp. 1-17. arXiv journal
L. Peilen. "Local Laws and a Mesoscopic CLT for β-Ensembles." Communications on Pure and Applied Mathematics, vol. 77, no. 4, 2024, pp. 2452-2567. arXiv journal
A. Cerbu, E. Gunther, M. Magee, L. Peilen. "The Cycle Structure of a Markoff Automorphism over Finite Fields." Journal of Number Theory, vol. 211, 2020, pp. 1-27. arXiv journal
A. Cerbu, S. Marcus, L. Peilen, D. Ranganathan, A. Salmon. "Topology of tropical moduli of weighted stable curves." Advances in Geometry, vol. 20, no. 4, 2020, pp. 445-462. arXiv journal
N. Kaplan, S. Kimport, R. Lawrence, L. Peilen, M. Weinreich. "Counting Arcs in Projective Planes via Glynn’s Algorithm." Journal of Geometry, vol. 108, no. 3, 2017, pp. 1013-1029. arXiv journal
Articles in Preparation
C. Guera, G. Lambert, L. Peilen. "Mesoscopic transition for β-ensembles at intermediary temperature."
For more information about my current projects, please feel free to see my research statement.