About me

I am a Universitätsassistent at TU Wien researching in the field of differential geometry.
I am interested in the following subjects.

Experience & Education

Universitätsassistent
TU Wien

  • October 2020 - Present

Postdoctoral Researcher
Kobe University

Doctor of Science, Mathematics
Kobe University

  • October 2016 - September 2019
  • Concentration: differential geometry
  • MEXT scholarship recipient (October 2016 - March 2019)
  • JSPS DC2 fellow (April 2019 - September 2019)

Research Student, Mathematics
Kobe University

  • October 2015 - September 2016
  • Concentration: differential geometry
  • MEXT scholarship recipient

Master of Science, Mathematics
Korea University

  • March 2012 - Ferbruary 2014
  • Concentration: analysis
  • Thesis: A brief introduction to hyperbolic analysis

Bachelor of Arts, Mathematics
University of California, Berkeley

  • August 2004 - December 2007
  • Edward Kraft Award for Freshmen

Publications

Constrained elastic curves and surfaces with spherical curvature lines

To appear in Indiana Univ. Math. J.
Joint work with Mason Pember, Gudrun Szewieczek

arXiv:2104.11058

Björling problem for zero mean curvature surfaces in the three-dimensional light cone

To appear in Bull. Korean Math. Soc.
Joint work with So Young Kim, Dami Lee, Wonjoo Lee, Seong-Deog Yang

arXiv:2303.04969

Spinor representation in isotropic 3-space via Laguerre geometry

Results Math. 79:3:1-33, 2024.
Joint work with Dami Lee, Wonjoo Lee, Seong-Deog Yang

doi:10.1007/s00025-023-02031-0
arXiv:2303.13677

Periodic discrete Darboux transforms

Differential Geom. Appl. 91:102065:1-25, 2023.
Joint work with Katrin Leschke, Yuta Ogata

doi:10.1016/j.difgeo.2023.102065
arXiv:2307.02649

Discrete Ω-nets and Guichard nets via discrete Koenigs nets

Proc. Lond. Math. Soc. (3) 126(2):790-836, 2023.
Joint work with Fran Burstall, Udo Hertrich-Jeromin, Mason Pember, Wayne Rossman

doi:10.1112/plms.12499
arXiv:2008.01447

Generalised Bianchi permutability for isothermic surfaces

Anal. Global Anal. Geom. 61(4):799-829, 2022.
Joint work with Katrin Leschke, Yuta Ogata

doi:10.1007/s10455-022-09833-5
arXiv:2104.07185

Infinitesimal Darboux transformation and semi-discrete mKdV equation

Nonlinearity 35(4):2134-2146, 2022.
Joint work with Wayne Rossman, Tomoya Seno

doi:10.1088/1361-6544/ac591f
arXiv:2010.07846

Discrete mKdV equation via Darboux transformation

Math. Phys. Anal. Geom. 24(3):25:1-11, 2021.
Joint work with Wayne Rossman, Tomoya Seno

doi:10.1007/s11040-021-09398-y
arXiv:2012.04229

Discrete minimal nets with symmetries

In: Minimal surfaces : integrable systems and visualisation. T. Hoffman, M. Kilian, K. Leschke, F. Martin (eds.). Springer Proceedings in Mathematics & Statistics 349. Cham: Springer, 2021, 35-50.
Joint work with Wayne Rossman and Seong-Deog Yang

doi:10.1007/978-3-030-68541-6_3
arXiv:2105.08102

Analysis of timelike Thomsen surfaces

J. Geom. Anal. 30(1):731-761, 2020.
Joint work with Shintaro Akamine, Yuta Ogata

doi:10.1007/s12220-019-00166-7
arXiv:1808.09641 (with deformations and singularities)

Simple factor dressings and Bianchi-Bäcklund transformations

Illinois J. Math. 63(4):619-631, 2019.
Joint work with Yuta Ogata

doi: 10.1215/00192082-7988989

Constant mean curvature surfaces in hyperbolic 3-space with curvature lines on horospheres

Kobe J. Math. 35(1-2):21-44, 2018.
Joint work with Mitsugu Abe, Yuta Ogata

Deformation and singularities of maximal surfaces with planar curvature lines

Beitr. Algebra Geom. 59(3):465-489, 2018.
Joint work with Yuta Ogata

doi:10.1007/s13366-018-0399-1
arXiv:1803.01306

Deformation of minimal surfaces with planar curvature lines

J. Geom. 108(2):463-479, 2017.
Joint work with Yuta Ogata

doi:10.1007/s00022-016-0352-0
arXiv:1606.01625

Talks and Poster Presentations

Closed discrete Darboux transforms

The 5th International Workshop Geometry of Submanifolds and Integrable Systems
Takamatsu, November 2022

Integrability of isoperimetric deformations

Geometry Seminar
Korea University, September 2022

Semi-discrete mKdV equations and Darboux deformations

Discrete Geometric Structures 2022
TU Wien, September 2022

Darboux deformations and transformations of discrete plane curves

The 4th International Workshop Geometry of Submanifolds and Integrable Systems
Osaka City University (online), February 2022

Monodromy of discrete Darboux transformations

Differential Geometry Seminar
Politecnico di Torino (online), October 2021

Darboux transformations and discrete mKdV equations

Colloquium
Korea University (online), September 2021

Darboux transformations and discrete mKdV equations

Geometry Seminar
TU Wien (online), December 2020

Introducing applied geometry

Geometry Seminar
Korea University (online), November 2020

Shape generation via discrete p-holomorphic functions

Maths Meets Arts
University of Leicester (online), July 2020

Polynomial conserved quantities and discretizations

closing workshop: Geometric Shape Generation
Tokyo Institute of Technology, February 2020

Timelike Thomsen surfaces

Workshop and School on Geometric Analysis and Discrete Geometry
Korea Institute for Advanced Study, February 2020

Discretization principle via polynomial conserved quantities

m:iv Autumn 2019 Workshop
University of Leicester, September 2019

Conserved quantities under Darboux transformations

Mini-workshop on Differential Geometry and its Discretizations
Osaka City University, July 2019

Discrete minimal surfaces with symmetry

Micro-workshop on surface transformations
Naha, March 2019

Discrete surfaces through examples

Introductory Workshop on Discrete Differential Geometry
Korea University, January 2019

Discrete differential geometry - introducing a field in its nascence

Math Seminar for Undergraduates
Duksung Women's University, December 2018

Discretization of Ω-surfaces

Symmetries and Integrability of Difference Equations 13
Fukuoka, November 2018

On minimal surfaces with planar curvature lines

The 9th Science Frontier
Kobe University, October 2018

A special Bianchi-Bäcklund transformation

Geometry of surfaces at Hokkaido
Hokkaido University, October 2018

Timelike surfaces and sphere geometries

Shape Generation Workshop
Technische Universität Wien, October 2018

Null curves of timelike Thomsen surfaces

Geometry Seminar
Korea University, September 2018

Discretization of Ω-surfaces and their transformations

65th Geometry Symposium
Tohoku University, August 2018

Simple factor dressings of Bianchi-Bäcklund type

Mini-Workshop on Geometry of Surfaces and Related Topics
Kobe University, August 2018

Constant mean curvature surfaces of positon-like solutions

Mini-Workshop on Geometry and Mathematical Science
Osaka City University, July 2018

Discrete Ω-surfaces - a rough introduction

m:iv mini-workshop 2018
University of Leicester, July 2018

Associated families of timelike Thomsen surfaces and their singularities

Differential Geometry, Differential Equations, Singularities, and its Applications
Hiroshima Institute of Technology, May 2018

Bonnet's minimal surfaces and Thomsen's minimal surfaces

Geometry Seminar
Technische Universität Wien, March 2018

Bianchi-Bäcklund transformation for spacelike constant mean curvature surfaces in Minkowski 3-space

The 14th Mathematics Conference for Young Researchers
Hokkaido University, February 2018

Minimal and maximal surfaces with planar curvature lines

Geometry Seminar
Tsukuba University, December 2017

Same lobed multibubbletons via Bianchi-Bäcklund transformation

International Workshop on Differential Geometric Aspects of Integrable Systems
Kobe University, July 2017

Minimal and maximal surfaces with planar curvature lines

Geometry Seminar
Korea University, May 2017

Deformation and singularities of maximal surfaces with planar curvature lines

The 2nd OCAMI-KOBE-WASEDA Joint International Workshop on Differential Geometry and Integrable Systems
Osaka City University, March 2017

Constant mean curvature surfaces in hyperbolic 3-space with curvature lines on horospheres

The 13th Mathematics Conference for Young Researchers
Hokkaido University, March 2017

Minimal surfaces with planar curvature lines

Tsukuba Workshop for Young Mathematicians 2017
Tsukuba University, February 2017

Singularities of maximal Bonnet-type surfaces

Topology, Singularities, and its Applications
Aoyama Gakuin University, June 2016

Conferences Organized

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