​​Preprints and ​Publications

1. [arXiv] [pdf] Quasiconformal deformation of the chordal Loewner driving function and first variation of the Loewner energy
   Joint with Jinwoo Sung
    ​
2. [pdf] Universal Liouville action as a renormalized volume and its gradient flow
   Joint with  Martin Bridgeman, Kenneth Bromberg, and Franco Vargas Pallete 
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3. [arXiv] [pdf] Circle homeomorphisms with square summable diamond shears
   Joint with Dragomir Saric and​ Catherine Wolfram
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4. [arXiv] [pdf] Piecewise geodesic Jordan curves I: weldings, explicit computations, and Schwarzian derivatives
   Joint with Don Marshall and Steffen Rohde
   ​
5. [arXiv] The Loewner Energy via Moving Frames and Surfaces of Finite Renormalised Area Bounding Weil-Petersson Curves
   Joint with Alexis Michelat
   
   
6. [arXiv] [pdf] Large deviations of Schramm-Loewner evolutions: A survey
   Probability Surveys, vol. 19: 351-403 (2022)
   ​
7. [arXiv] [pdf] The Loewner-Kufarev energy and foliations by Weil-Petersson quasicircles
   Joint with Fredrik Viklund submitted
   
   
8. [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)​​
   
   
10. [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)​
    ​
11. [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
    ​
12. [arXiv] [pdf] Equivalent Descriptions of the Loewner Energy
    ​Invent. Math., Vol. 218. 2, 573-621 (2019)
    
    
13. [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)
    
    
14. [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)​
    ​
15. [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)

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Other Writings

1. 05.2019  «On the Loewner energy of simple planar curves»   
   Doctoral dissertation  supervised by Wendelin Werner, ETH.
   
   
2. 10.2018 «Notes on the 2D Yang-Mills master field and free probability theory»
   Lecture notes  for reading group at ETH
   
   
3. 09.2015  «On the Schramm Loewner Evolution with small parameter»  
   Master thesis supervised by Wendelin Werner.
   
   
4. 06.2014  «Notions de base en géométrie tropicale et droites contenues dans une surface quartique» 
   Master thesis supervised by Ilia Itenberg.
   
   
5. 06.2012 «Amortissement de Landau, stabilité des solutions d’équation de Poisson-Vlasov» 
   Joint with Zihui Zhao.
   Bachelor thesis supervised by Benjamin Texier. 

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Collaborators

Morris Ang,  Mario Bonk,  Martin Bridgeman, Kenneth Bromberg, 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