Selected Publications

This page highlights representative works and recent directions. For the full list, see Complete List.

Recent directions

1. Gauss maps of conformal surfaces in the Möbius n-sphere
   with D. Brander and P. Wang, Frontiers of Mathematics, 2026.

2. Minimal Lagrangian surfaces in the two dimensional complex quadric via the loop group method
   with S. Zeng, Journal of Geometric Analysis 36 (2026), Article No. 79.

3. The complex landslide flow and the method of integrable systems
   International Mathematics Research Notices 2025, no. 7, rnaf072.

4. A duality for minimal surfaces in the Heisenberg group
   Communications in Analysis and Geometry 33 (2025), no. 8, 1889--1903.

5. A characterization of the alpha-connections on the statistical manifold of multivariate normal distributions
   with Y. Ohno, Osaka Journal of Mathematics 62 (2025), no. 2, 329--349.

Loop groups, harmonic maps, and surface theory

1. Constant mean curvature surfaces in hyperbolic 3-space via loop groups
   with J. F. Dorfmeister and J. Inoguchi, Journal für die Reine und Angewandte Mathematik 686 (2014), 1--36.

2. A loop group method for affine harmonic maps into Lie groups
   with J. F. Dorfmeister and J. Inoguchi, Advances in Mathematics 298 (2016), 207--253.

3. A loop group method for minimal surfaces in the three-dimensional Heisenberg group
   with J. F. Dorfmeister and J. Inoguchi, Asian Journal of Mathematics 20 (2016), no. 3, 409--448.

4. Minimal cylinders in the three-dimensional Heisenberg group
   Mathematische Annalen 388 (2024), no. 3, 3299--3317.

Discrete and affine geometry

1. Discrete constant mean curvature surfaces on general graphs
   with T. Hoffmann and Z. Ye, Geometriae Dedicata 216 (2022), no. 6, Paper No. 71.

2. Representation formula for discrete indefinite affine spheres
   with N. Matsuura, Differential Geometry and its Applications 69 (2020), 101592.

3. Geodesics of multivariate normal distributions and a Toda lattice type Lax pair
   Physica Scripta 98 (2023), Number 11.