Jungwon Lee

I am an Olga Taussky & John Todd Fellow at Caltech since Sep 2026. Before that, I spent some years at CNRS LPSM Jussieu (Part of ERC SOS), University of Warwick (Part of ERC Resonances) and MPIM Bonn.





My interest is in number theory and dynamics, in particular interactions between the behavior of L-functions and statistical/ quantitative aspects of ergodic theory, guided by the questions in arithmetic. I like to study examples with spectral methods.

Algebra and Geometry Seminar.

Contact: jungwon [at] caltech [dot] edu
374 Linde Hall, 1200 E California Blvd, Pasadena, CA 91125, US

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Research

• Central values of additive twists of automorphic L-series (with Sandro Bettin and Sary Drappeau), preprint.
• Limit theorems for cuspidal orbits on Fuchsian groups (with Sandro Bettin and Sary Drappeau), preprint.
• Asymptotic statistics for finite continued fractions with restricted digits, preprint.
• Mahler measure, motivic regulators and Dirichlet L-values (with Wei He), preprint.
• Multidimensional statistics for finite orbits of generalised continued fractions (with Valérie Berthé, Stephen Cantrell and Mark Pollicott), preprint.
• Euclidean algorithms are Gaussian over imaginary quadratic fields (with Dohyeong Kim and Seonhee Lim), J Lond Math Soc, 112 (2025), no. 6, e70333.
• An ergodic approach towards an equidistribution result of Ferrero--Washington (with Bharathwaj Palvannan), J Théor Nombres Bordeaux, 36 (2024), no. 3, 805--833.
• Dynamics of Ostrowski skew-product: Ⅰ. Limit laws and Hausdorff dimensions (with Valérie Berthé), Trans Amer Math Soc, 376 (2023), 7947--7982.
• Dynamics of continued fractions and distribution of modular symbols (with Hae-Sang Sun), J Eur Math Soc, 27 (2025), no. 9, 3527--3582.
• Another note on "Euclidean algorithms are Gaussian" by V. Baladi and B. Vallée (with Hae-Sang Sun), Acta Arith, 188 (2019), 241--251.

Other texts

• Mahler measure and special values of L-function: Deninger's cohomological method, Oberwolfach Report (2025).
• Dynamical resonances and arithmetic of L-values, PhD. UNIST (2020).
• Iwasawa's main conjecture for elliptic curves over Coates--Wiles Zp-extension, MS. POSTECH (2016).

Teaching

• At Caltech: Ma 160a Number Theory (Fall 26), Ma 7/107 Number Theory for Beginners (Spring 27).