Supanat Kamtue (Phil)

Contact info

   Supanat Kamtue (Phil) ศุภณัฐ คำตื้อ 

   supanat.k[at]chula.ac.th 

   MATH อาคารมหาวชิรุณหิศ 

      Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand

About me

Hello, I am a lecturer at Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University in Bangkok, Thailand. My research areas are Optimal Transportation Theory, Riemannian Geometry and Graph Theory.

In 2021, I received my PhD degree from Durham University, United Kingdom, under the supervision of Prof. Norbert Peyerimhoff. In 2022-24, I worked as a postdoct at Yau Mathematical Sciences Center, Tsinghua University with Prof. Yong Lin.

Research

My current research topic is discrete geometric analysis. In particular, I study mainly three different kinds of discrete Ricci curvatures and their geometric implications on graphs and networks. The first notion is Ollivier Ricci curvature defined via the contraction property of the L¹-transportation metric. The second notion is Bakry-Émery curvature defined via Bochner’s formula and carré du champ operators. The third notion is the entropic Ricci curvature defined via the displacement convexity of the entropy (in spirit of Lott-Sturm-Villani’s synthetic notion of Ricci curvature on metric measure spaces).

My PhD dissertation on Discrete curvatures motivated from Riemannian geometry and optimal transport: Bonnet-Myers-type diameter bounds and rigidity can be found here.

You are encouraged to try drawing your favorite graphs on Graph Curvature Calculator and feel the curvature! This applet is created by my colleagues, David Cushing and George Stagg.

Publications

P. Jiradilok and S. Kamtue, Transportation Distance between Probability Measures on the Infinite Regular Tree, SIAM J. Discrete Math. 38 (2024), no. 1, 1113–1157. (DOI)
D. Cushing, S. Kamtue, S. Liu and N. Peyerimhoff, Bakry-Émery curvature on graphs as an eigenvalue problem, Calc. Var. Partial Differential Equations 61 (2022), no. 2, Paper No. 62, 33 pp. (DOI)
D. Cushing, S. Kamtue, R. Kangaslampi, S. Liu and N. Peyerimhoff, Curvatures, graph products and Ricci flatness, J. Graph Theory 96 (2021), no. 4, 522–553. (DOI)
D. Cushing, S. Kamtue, J. Koolen, S. Liu, F. Münch and N. Peyerimhoff, Rigidity for the Bonnet-Myers for graphs with respect to Ollivier Ricci curvature, Adv. Math. 369 (2020), 107188, 53 pp. (DOI)
D. Cushing, S. Kamtue, N. Peyerimhoff and L. Watson May, Quartic graphs which are Bakry-Émery curvature sharp, Discrete Math. 343 (2020), no. 3, 111767, 15 pp. (DOI)
D. Cushing and S. Kamtue, Long-scale Ollivier Ricci curvature of graphs, Anal. Geom. Metr. Spaces 7 (2019), no. 1, 22–44. (DOI)