Publications:
- On the finiteness of the Morse index for Schrödinger operators, Manuscripta Math. 139 (2012), no. 1-2, 249–271.
- A Gaussian estimate for the heat kernel on differential forms and application to the Riesz transform, Math. Ann. 358 (2014), no. 1-2, 25–68.
- A perturbation result for the Riesz transform, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 14 (2015), no. 3, 937–964.
- with M. Fraas and Y. Pinchover, Optimal Hardy weight for second-order elliptic operator: an answer to a problem of Agmon, J. Funct. Anal. 266 (2014), no. 7, 4422–4489.
- A spectral result for Hardy inequalities, J. Math. Pures Appl. (9) 102 (2014), no. 5, 813–853.
- with Y. Pinchover, Optimal Lp Hardy-type inequalities, Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 1, 93–118.
- with Y. Pinchover and G. Psaradakis, Optimal Hardy inequalities in cones, Proc. Roy. Soc. Edinburgh Sect. A 147 (2017), no. 1, 89–124.
- Hardy spaces and heat kernel regularity, Potential Anal. 48 (2018), no. 1, 1–33.
- Heat kernel and Riesz transform of Schrödinger operators, 47 p., to appear at Ann. Inst. Fourier (Grenoble)
- Index of the critical catenoid, 17 p., to appear at Geom. Dedicata
- with T. Coulhon and A. Sikora, Gaussian heat kernels: from functions to forms, 53 p., to appear at J. Reine Angew. Math (Crelle’s Journal)
- On gradient estimates for the heat kernel, 67 p.
- A new eigenvalue problem for free boundary minimal submanifolds in the unit ball, 17 p.
- with S. Beckus, Generalized eigenfunctions and eigenvalues: a unifying framework for Shnol-type theorems, 30 p.
Proceedings and other texts:
- with M. Fraas and Y. Pinchover, Optimal Hardy-type inequalities for elliptic operators, C. R. Math. Acad. Sci. Paris 350 (2012), no. 9-10, 475–479.
- with Y. Pinchover and G. Psaradakis, On optimal Hardy inequalities in cones, Bruno Pini Mathematical Analysis Seminar 2014, 67–82, Bruno Pini Math. Anal. Semin., 2014, Univ. Bologna, Alma Mater Stud., Bologna, 2014.
- PhD thesis (French), University of Nantes, 2011.
* the versions posted on arXiv may differ significantly from the published versions. Up-to-date versions are available upon request.