Below are a few selected publications on questions I am currently intrested in. On the links on the right you may find some brief informal descriptions of these topics, including some results, and the relevant publications. A link to my full list of publications may be found below.
Selected Publications
Pólya-type inequalities on spheres and hemispheres, Ann. Inst. Fourier (Grenoble) 75 (2025), 979–1051 (with Jing Mao and Isabel Salavessa).
Extremal domains and Pólya-type inequalities for the Robin Laplacian on rectangles and unions of rectangles, Int. Math. Res. Not. IMRN (2021), no. 18, 13730–13782 (with James B. Kennedy).
From Neumann to Steklov and beyond, via Robin: the Weinberger way, Amer. J. Math. 143 (2021), 969–994 (with Richard S. Laugesen).
The spectral determinant of the isotropic quantum harmonic oscillator in arbitrary dimensions, Math. Ann. 372 (2018), 1081–1101.
The first Robin eigenvalue with negative boundary parameter, Adv. Math. 280 (2015), 322–339 (with David Krejčiřík).