Shouda Wang 王首达

I am a postdoc at KTH, working with Petter Brändén in the combinatorics group. I am broadly interested in geometry and combinatorics, especially geometric inequalities of mixed volumes, log-concavity phenomena in matroid theory, Lorentzian polynomials, and volume polynomials.

Previously, I received my Ph.D. from Princeton University, where I was advised by Ramon van Handel. Before that, I studied at École Polytechnique and in the SCGY program at the University of Science and Technology of China.

Email: shoudawang@alumni.princeton.edu

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Research papers

• Higher-order Godbersen inequality and a characterization of simplices via the face lattice, joint with Filip Fryš, Jan Kotrbatý, and Mohamed A. Mouamine, preprint, arXiv
• Volume and Projection Inequalities I: Zonoids and Courtade's Conjecture, joint with Matthieu Fradelizi, Alfredo Hubard, Auttawich Manui, Cheikh Saliou Ndiaye, and Artem Zvavitch, preprint, arXiv
• A complete solution to the Grünbaum-Loewner centroid problems, joint with Ge Xiong and Kaiwen Yang, submitted, arXiv
• Monotonicity of the deficit in the local log-Brunn-Minkowski inequality, submitted, arXiv
• On Minkowski's monotonicity problem, joint with Ramon van Handel, submitted, arXiv
• Realizations of Homology Classes and Projection Areas, joint with Daoji Huang, June Huh, Mateusz Michałek, and Botong Wang, submitted, arXiv
• An Identity in Distribution Between Full-Space and Half-Space Log-Gamma Polymers, joint with Guillaume Barraquand, IMRN, 2023, arXiv, Journal

• The maximum number of Hamiltonian cycles in tournaments, joint with Alexander Divoux, preprint, arXiv
• The Bézout inequality for mixed volumes characterizes simplices, joint with Dylan Langharst, submitted, arXiv
• Matroid flat counts can have many peaks, joint with Alexander Divoux, Matt Larson, and Chayim Lowen, submitted, arXiv (This supersedes an earlier paper.)