Preprints and Publications
17. [arXiv] [pdf] Onsager-Machlup functional for SLE loop measures
Joint with Marco Carfagnini submitted
16. [arXiv] [pdf] Quasiconformal deformation of the chordal Loewner driving function and first variation of the Loewner energy
Joint with Jinwoo Sung submitted
15. [pdf] Universal Liouville action as a renormalized volume and its gradient flow
Joint with Martin Bridgeman, Kenneth Bromberg, and Franco Vargas-Pallete
14. [arXiv] [pdf] Circle homeomorphisms with square summable diamond shears
Joint with Dragomir Saric and Catherine Wolfram submitted
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 Moving Frames and Surfaces of Finite Renormalised Area Bounding Weil-Petersson Curves
Joint with Alexis Michelat submitted
11. [arXiv] [pdf] The Loewner-Kufarev energy and foliations by Weil-Petersson quasicircles
Joint with Fredrik Viklund submitted
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), published online.
9. [arXiv] [pdf] Large deviations of radial SLE infinity
Joint with Morris Ang and Minjae Park
Electron. J. Probab., 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)
Joint with Marco Carfagnini submitted
16. [arXiv] [pdf] Quasiconformal deformation of the chordal Loewner driving function and first variation of the Loewner energy
Joint with Jinwoo Sung submitted
15. [pdf] Universal Liouville action as a renormalized volume and its gradient flow
Joint with Martin Bridgeman, Kenneth Bromberg, and Franco Vargas-Pallete
14. [arXiv] [pdf] Circle homeomorphisms with square summable diamond shears
Joint with Dragomir Saric and Catherine Wolfram submitted
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 Moving Frames and Surfaces of Finite Renormalised Area Bounding Weil-Petersson Curves
Joint with Alexis Michelat submitted
11. [arXiv] [pdf] The Loewner-Kufarev energy and foliations by Weil-Petersson quasicircles
Joint with Fredrik Viklund submitted
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), published online.
9. [arXiv] [pdf] Large deviations of radial SLE infinity
Joint with Morris Ang and Minjae Park
Electron. J. Probab., 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 random simple curves to the Kahler geometry of universal Teichmuller space
Invited article for Notices of the AMS (2023)
1. [arXiv] [pdf] Large deviations of Schramm-Loewner evolutions: A survey
Probability Surveys, vol. 19: 351-403 (2022)
Invited article for Notices of the AMS (2023)
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, Masha Gordina, Janne Junnila, 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, Zihui Zhao
@ MSRI
