Preprints and Publications
The list is in reverse chronological order of the first submission to arXiv.
23. [arXiv] Epstein curves and holography of the Schwarzian action
Joint with Franco Vargas Pallete and Catherine Wolfram
22. [arXiv] Piecewise geodesic Jordan curves II: Loewner energy, projective structures, and accessory parameters
Joint with Mario Bonk, Janne Junnila, Steffen Rohde
21. [arXiv] [pdf] Infinitesimal conformal restriction and unitarizing measures for Virasoro algebra
Joint with Maria Gordina and Wei Qian
J. Math. Pures Appl., vol. 195 (2025)
20. [arXiv] [pdf] The Brownian loop measure on Riemann surfaces and applications to length spectra
Joint with Yuhao Xue
Comm. Pure Appl. Math., to appear
19. [arXiv] [pdf] Commutation relations for two-sided radial SLE
Joint with Ellen Krusell and Hao Wu
18. [arXiv] [pdf] Two optimization problems for the Loewner energy
J. Math. Phys. vol. 66, 023502 (2025) Special issue XXI International Congress on Mathematical Physics 2024
17. [arXiv] [pdf] Universal Liouville action as a renormalized volume and its gradient flow
Joint with Martin Bridgeman, Kenneth Bromberg, and Franco Vargas Pallete
Duke Math. J. to appear
16. [arXiv] [pdf] Onsager-Machlup functional for SLE loop measures
Joint with Marco Carfagnini
Comm. Math. Phys. Vol. 405, art. 258 (2024)
15. [arXiv] [pdf] Quasiconformal deformation of the chordal Loewner driving function and first variation of the Loewner energy
Joint with Jinwoo Sung
Math. Ann. Vol. 390, p. 4789–4812 (2024)
14. [arXiv] [pdf] Circle homeomorphisms with square summable diamond shears
Joint with Dragomir Saric and Catherine Wolfram
Int. Math. Res. Not. (IMRN) Vol. 2024, 17 (2024)
13. [arXiv] [pdf] Piecewise geodesic Jordan curves I: weldings, explicit computations, and Schwarzian derivatives
Joint with Don Marshall and Steffen Rohde
12. [arXiv] The Loewner Energy via the Renormalised Energy of Moving Frames
Joint with Alexis Michelat
Arch. Ration. Mech. Anal. (ARMA) Vol. 248, 15 (2024)
11. [arXiv] [pdf] The Loewner-Kufarev energy and foliations by Weil-Petersson quasicircles
Joint with Fredrik Viklund
Proc. Lond. Math. Soc. (PLMS) Vol. 128, 2 (2024)
10. [arXiv] [pdf] Large deviations of multichordal SLE0+, real rational functions, and zeta-regularized determinants of Laplacians
Joint with Eveliina Peltola
J. Eur. Math. Soc. (JEMS) 26 (2024), no. 2, pp. 469–535
9. [arXiv] [pdf] Large deviations of radial SLE infinity
Joint with Morris Ang and Minjae Park
Electron. J. Probab. (EJP), Vol. 25, paper no. 102, 1-13 (2020)
8. [arXiv] [pdf] Interplay between Loewner and Dirichlet energies via conformal welding and flow-lines
Joint with Fredrik Viklund
Geom. Funct. Anal. (GAFA), Vol. 30. 1, 289-321 (2020)
7. [arXiv] [pdf] A note on Loewner energy, conformal restriction and Werner's measure on self-avoiding loops
Ann. Inst. Fourier, Volume 71 (2021) no. 4, pp. 1791-1805
6. [arXiv] [pdf] Equivalent Descriptions of the Loewner Energy
Invent. Math. Vol. 218. 2, 573-621 (2019)
5. [arXiv] The Loewner energy of loops and regularity of driving functions
Joint with Steffen Rohde
Int. Math. Res. Not. (IMRN) Vol. 2021. 10, 7433–7469 (2021)
4. [arXiv] Remarks on Loewner chains driven by finite variation functions
Joint with Atul Shekhar and Huy Tran
Ann. Acad. Sci. Fenn. Math. Vol. 44, 311-327 (2019)
3. [arXiv] [pdf] The energy of a deterministic Loewner chain: Reversibility and interpretation via SLE0+
J. Eur. Math. Soc. (JEMS) Vol. 21. 7, 1915-1941 (2019)
23. [arXiv] Epstein curves and holography of the Schwarzian action
Joint with Franco Vargas Pallete and Catherine Wolfram
22. [arXiv] Piecewise geodesic Jordan curves II: Loewner energy, projective structures, and accessory parameters
Joint with Mario Bonk, Janne Junnila, Steffen Rohde
21. [arXiv] [pdf] Infinitesimal conformal restriction and unitarizing measures for Virasoro algebra
Joint with Maria Gordina and Wei Qian
J. Math. Pures Appl., vol. 195 (2025)
20. [arXiv] [pdf] The Brownian loop measure on Riemann surfaces and applications to length spectra
Joint with Yuhao Xue
Comm. Pure Appl. Math., to appear
19. [arXiv] [pdf] Commutation relations for two-sided radial SLE
Joint with Ellen Krusell and Hao Wu
18. [arXiv] [pdf] Two optimization problems for the Loewner energy
J. Math. Phys. vol. 66, 023502 (2025) Special issue XXI International Congress on Mathematical Physics 2024
17. [arXiv] [pdf] Universal Liouville action as a renormalized volume and its gradient flow
Joint with Martin Bridgeman, Kenneth Bromberg, and Franco Vargas Pallete
Duke Math. J. to appear
16. [arXiv] [pdf] Onsager-Machlup functional for SLE loop measures
Joint with Marco Carfagnini
Comm. Math. Phys. Vol. 405, art. 258 (2024)
15. [arXiv] [pdf] Quasiconformal deformation of the chordal Loewner driving function and first variation of the Loewner energy
Joint with Jinwoo Sung
Math. Ann. Vol. 390, p. 4789–4812 (2024)
14. [arXiv] [pdf] Circle homeomorphisms with square summable diamond shears
Joint with Dragomir Saric and Catherine Wolfram
Int. Math. Res. Not. (IMRN) Vol. 2024, 17 (2024)
13. [arXiv] [pdf] Piecewise geodesic Jordan curves I: weldings, explicit computations, and Schwarzian derivatives
Joint with Don Marshall and Steffen Rohde
12. [arXiv] The Loewner Energy via the Renormalised Energy of Moving Frames
Joint with Alexis Michelat
Arch. Ration. Mech. Anal. (ARMA) Vol. 248, 15 (2024)
11. [arXiv] [pdf] The Loewner-Kufarev energy and foliations by Weil-Petersson quasicircles
Joint with Fredrik Viklund
Proc. Lond. Math. Soc. (PLMS) Vol. 128, 2 (2024)
10. [arXiv] [pdf] Large deviations of multichordal SLE0+, real rational functions, and zeta-regularized determinants of Laplacians
Joint with Eveliina Peltola
J. Eur. Math. Soc. (JEMS) 26 (2024), no. 2, pp. 469–535
9. [arXiv] [pdf] Large deviations of radial SLE infinity
Joint with Morris Ang and Minjae Park
Electron. J. Probab. (EJP), Vol. 25, paper no. 102, 1-13 (2020)
8. [arXiv] [pdf] Interplay between Loewner and Dirichlet energies via conformal welding and flow-lines
Joint with Fredrik Viklund
Geom. Funct. Anal. (GAFA), Vol. 30. 1, 289-321 (2020)
7. [arXiv] [pdf] A note on Loewner energy, conformal restriction and Werner's measure on self-avoiding loops
Ann. Inst. Fourier, Volume 71 (2021) no. 4, pp. 1791-1805
6. [arXiv] [pdf] Equivalent Descriptions of the Loewner Energy
Invent. Math. Vol. 218. 2, 573-621 (2019)
5. [arXiv] The Loewner energy of loops and regularity of driving functions
Joint with Steffen Rohde
Int. Math. Res. Not. (IMRN) Vol. 2021. 10, 7433–7469 (2021)
4. [arXiv] Remarks on Loewner chains driven by finite variation functions
Joint with Atul Shekhar and Huy Tran
Ann. Acad. Sci. Fenn. Math. Vol. 44, 311-327 (2019)
3. [arXiv] [pdf] The energy of a deterministic Loewner chain: Reversibility and interpretation via SLE0+
J. Eur. Math. Soc. (JEMS) Vol. 21. 7, 1915-1941 (2019)
Expository articles
2. [arXiv] [pdf] From the random geometry of conformally invariant systems to the Kähler geometry of universal Teichmüller space
Notices of the AMS (June/July 2024)
1. [arXiv] [pdf] Large deviations of Schramm-Loewner evolutions: A survey
Probability Surveys, vol. 19: 351-403 (2022)
Notices of the AMS (June/July 2024)
1. [arXiv] [pdf] Large deviations of Schramm-Loewner evolutions: A survey
Probability Surveys, vol. 19: 351-403 (2022)
Thesis
- 05.2019 «On the Loewner energy of simple planar curves»
Doctoral dissertation supervised by Wendelin Werner, ETH.
- 09.2015 «On the Schramm Loewner Evolution with small parameter»
Master thesis supervised by Wendelin Werner. - 06.2014 «Notions de base en géométrie tropicale et droites contenues dans une surface quartique»
Master thesis supervised by Ilia Itenberg. - 06.2012 «Amortissement de Landau, stabilité des solutions d’équation de Poisson-Vlasov»
Joint with Zihui Zhao.
Bachelor thesis supervised by Benjamin Texier.
- [pdf] Notes on the 2D Yang-Mills master field and free probability theory
Lecture notes for reading group at ETH (2018)
Collaborators
Morris Ang
Mario Bonk
Martin Bridgeman
Kenneth Bromberg
Marco Carfagnini
Maria Gordina
Janne Junnila
Ellen Krusell
Greg Lawler
Donald Marshall
Alexis Michelat
Minjae Park
Eveliina Peltola
Wei Qian
Steffen Rohde
Dragomir Saric
Atul Shekhar
Jinwoo Sung
Huy Tran
Franco Vargas-Pallete
Fredrik Viklund
Catherine Wolfram
Hao Wu
Yuhao Xue
Zihui Zhao
Mario Bonk
Martin Bridgeman
Kenneth Bromberg
Marco Carfagnini
Maria Gordina
Janne Junnila
Ellen Krusell
Greg Lawler
Donald Marshall
Alexis Michelat
Minjae Park
Eveliina Peltola
Wei Qian
Steffen Rohde
Dragomir Saric
Atul Shekhar
Jinwoo Sung
Huy Tran
Franco Vargas-Pallete
Fredrik Viklund
Catherine Wolfram
Hao Wu
Yuhao Xue
Zihui Zhao
@ MSRI
