Complete List of Publications¶

The list is arranged in reverse chronological order. Links are carried over from the former Google Sites publication list when available.

2026¶

Gauss maps of conformal surfaces in the Möbius n-sphere, with D. Brander and P. Wang, Frontiers of Mathematics, 20 May 2026 (Original list no. 44.)
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

A duality for minimal surfaces in the Heisenberg group, Communications in Analysis and Geometry 33 (2025), no. 8, 1889--1903
The evolution of a curve induced by the Pohlmeyer--Lund--Regge equation, with Y. Kogo and N. Matsuura, Journal of Nonlinear Science 35 (2025), no. 4, Paper No. 85
Maximal surfaces in the Lorentzian Heisenberg group, with D. Brander, Mathematical Proceedings of the Cambridge Philosophical Society 179 (2025), no. 3, 579--608
The complex landslide flow and the method of integrable systems, International Mathematics Research Notices 2025, no. 7, rnaf072
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

Half-dimensional immersions into the para-complex projective space and loop group method, with J.-F. Dorfmeister and R. Hildebrand, Results in Mathematics 79 (2024), no. 7, Paper No. 245
Minimal cylinders in the three-dimensional Heisenberg group, Mathematische Annalen 388 (2024), no. 3, 3299--3317

Minimal surfaces with non-trivial topology in the three-dimensional Heisenberg group, with J. F. Dorfmeister and J. Inoguchi, Complex Manifolds 9 (2022), 285--336
Discrete constant mean curvature surfaces on general graphs, with T. Hoffmann and Z. Ye, Geometriae Dedicata 216 (2022), no. 6, Paper No. 71
Timelike minimal surfaces in the three-dimensional Heisenberg group, with H. Kiyohara, Journal of Geometric Analysis 32 (2022), no. 8, Paper No. 225, 37 pp
On a constant curvature statistical manifold, with Y. Ohno, Information Geometry 5 (2022), no. 1, 31--46

A characterization of the alpha-connections on the statistical manifold of normal distributions, with J. Inoguchi and H. Furuhata, Information Geometry 4 (2021), no. 1, 177--188
The Gauss maps of Demoulin surfaces with conformal coordinates, with J. Inoguchi, Science China Mathematics 64 (2021), no. 7, 1479--1492
Timelike minimal Lagrangian surfaces in the indefinite complex hyperbolic two-space, with J. F. Dorfmeister, Annali di Matematica Pura ed Applicata 200 (2021), 521--546

Ruh--Vilms theorems for minimal surfaces without complex points and minimal Lagrangian surfaces in CP^2, with J. F. Dorfmeister and H. Ma, Mathematische Zeitschrift 296 (2020), no. 3--4, 1751--1775
Representation formula for discrete indefinite affine spheres, with N. Matsuura, Differential Geometry and its Applications 69 (2020), 101592, 41 pp
General-affine invariants of plane curves and space curves, with T. Sasaki, Czechoslovak Mathematical Journal 70 (2020), 67--104

Survey on real forms of the complex A_2^(2)-Toda equation and surface theory, with J. F. Dorfmeister, W. Freyn and E. Wang, Complex Manifolds 6 (2019), no. 1, 194--227

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
A construction method for discrete constant negative Gaussian curvature surfaces, Mathematical Progress in Expressive Image Synthesis III, 2016, 21--33
On the Bernstein problem in the three-dimensional Heisenberg group via loop groups, with J. F. Dorfmeister and J. Inoguchi, Canadian Mathematical Bulletin 59 (2016), no. 1, 50--61
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

Constant Gaussian curvature surfaces in the 3-sphere via loop groups, with D. Brander and J. Inoguchi, Pacific Journal of Mathematics 269 (2014), no. 2, 281--303
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

Discretization of integrable systems via dressing actions, in Japanese, RIMS Kokyuroku Bessatsu B41 (2013), 148--161

Real forms of complex surfaces of constant mean curvature, Transactions of the American Mathematical Society 363 (2011), no. 4, 1765--1788

Totally symmetric surfaces of constant mean curvature in hyperbolic 3-space, Bulletin of the Australian Mathematical Society 82 (2010), no. 2, 240--253
Complex constant mean curvature surfaces fibered by minimal surfaces, with J. Dorfmeister and F. Pedit, Hokkaido Mathematical Journal 39 (2010), no. 1, 1--55

Note on equivariant harmonic maps in complex projective spaces, Annals of Global Analysis and Geometry 36 (2009), no. 4, 375--380

Asymptotics of ends of constant mean curvature surfaces with bubbletons, Proceedings of the American Mathematical Society 136 (2008), no. 4, 1433--1443

Unitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms, with N. Schmitt, M. Kilian and W. Rossman, Journal of the London Mathematical Society 75 (2007), no. 3, 563--581
Coarse classification of constant mean curvature cylinders, with J. Dorfmeister, Transactions of the American Mathematical Society 359 (2007), no. 6, 2483--2500

Differential Geometry of surfaces and Soliton equations, in Japanese, with J. Inoguchi and N. Matsuura, Rikkyo Lecture note No. 8, February 2005
Constant mean curvature surfaces of any positive genus, with M. Kilian, W. Rossman and N. Schmitt, Journal of the London Mathematical Society 72 (2005), no. 1, 258--272
Characterizations of Bianchi--Baecklund transformation of constant mean curvature surfaces, with J. Inoguchi, International Journal of Mathematics 16 (2005), no. 2, 101--110
Loop group methods for constant mean curvature surfaces, with S. Fujimori and W. Rossman, Rokko Lectures in Mathematics 17, 2005

Bubbleton surfaces in 3-dimensional space forms, Balkan Journal of Geometry and its Applications 9 (2004), no. 1, 46--72