Below is a list of my papers in reverse chronological order of first appearance.
Classification of the eternal solutions and multiple coalescing shocks in the KPZ fixed point (with Sudeshna Bhattacharjee and Ofer Busani). Preprint, 2026. Link
Invariant measures for half-space geometric LPP: classification and the one force--one solution principle (with Sayan Das and Zongrui Yang). Preprint, 2026. Link
Invariant measures and shocks in the KPZ fixed point (with Alexander Dunlap). Preprint, 2025. Link | Relevant talk
The discrete periodic Pitman transform: invariances, braid relations, and Burke properties (with Eva R. Engel, Benjamin Jasper Kra-Caskey, Oleksandr Lazorenko, Caio Hermano Maia de Olivera, Ivan Wong, Ryan Xu, and Xinyi Zhang, REU project at Columbia University). Preprint, 2025. Link
Permutation invariance in last-passage percolation and the distribution of the Busemann process (with Erik Bates, Elnur Emrah, James Martin, and Timo Seppäläinen). Preprint, 2025. Link
Exceptional force, uncountably many solutions in the KPZ fixed point (with Sudeshna Bhattacharjee and Ofer Busani). Preprint, 2025. Link
Periodic Pitman transforms and jointly invariant measures (with Ivan Corwin and Yu Gu). Communications in Mathematical Physics 407(2026), Article no. 49, 157 pp, 2026. Link
Viscous shock fluctuations in KPZ (with Alexander Dunlap). Communications in Mathematical Physics 407(2026). Article no. 63, 47 pp, 2026. Link
Scaling limit of multi-type invariant measures via the directed landscape, (with Ofer Busani and Timo Seppäläinen). International Mathematics Research Notices, IMRN, 2024(17):12382-12432, 2024. Link
Jointly invariant measures for the Kardar-Parisi-Zhang Equation (with Sean Groathouse, Firas Rassoul-Agha, and Timo Seppäläinen). Probability Theory and Related Fields 192(1):303-372, 2025. Link | Relevant talk
An upper bound on geodesic length in 2D critical first-passage percolation (with Erik Bates, David Harper, and Xiao Shen). Electronic Journal of Probability, 30(2025), article no 137, 75 pp, 2025. Link
The stationary horizon as the central multi-type invariant measure in the KPZ universality class. PhD dissertation, University of Wisconsin--Madison, 2023. Link | Relevant talk
Scaling limit of the TASEP speed process (with Ofer Busani and Timo Seppäläinen). Preprint, 2022. To appear in Annales de I’Insitut Henri Poincaré-Probabilitiés et Statistiques. Link
The stationary horizon and semi-infinite geodesics in the directed landscape, (with Ofer Busani and Timo Seppäläinen). Annals of Probability 52(1): 1-66, 2024. Link | Relevant talk
Global structure of semi-infinite geodesics and competition interfaces in Brownian last-passage percolation (with Timo Seppäläinen). Probability and Mathematical Physics 4(3): 667-760, 2023. Link | Relevant talk
Busemann process and semi-infinite geodesics in Brownian last-passage percolation (with Timo Seppäläinen). Annales de I’Insitut Henri Poincaré-Probabilitiés et Statistiques 59(1): 117-165, 2023. Link | Relevant talk
Interlacing Properties of Coefficient Polynomials in Differential Operator Representations of Real-Root Preserving Linear Transformations (with David A. Cardon and Jason C. White). Constructive Approximation 57(1):235-253, 2023. Link
On Zero-Sector Reducing Operators (with David A. Cardon, Tamás Forgács, Andrzej Piotrowski, and Jason White). Journal of Mathematical Analysis and Applications 468(1):480-490, 2018. Link