Dongryul Kim (🇰🇷 김동률, 🔈 [Dong-Yool Geem] )

Ph.D. Student
Dept. of Mathematics, Yale University

About Me

Hi! I am a first-year Ph.D. student in the Dept. of Mathematics at Yale University. I have been supported by the KFAS Ph.D. Study-Abroad Scholarship.
Previously, I was a researcher of Team for Academic Research on GEometric Topology at KAIST, under the supervision of Prof. Harry Hyungryul Baik. I received my B.S. degree in Mathematical Sciences from KAIST on Feb. 2021 with honors (Salutatorian, Department Valedictorian).

Research Interests

My mathematical interests lie in Geometric topology, Low-dimensional topology, and Dynamical systems. It includes mapping class groups, hyperbolic geometry, Kleinian groups, and Teichmüller theory. At Yale, I am interested in the work of Prof. Yair Minsky and Prof. Hee Oh.

Contact Details

Email: dongryul.kim (at) yale.edu
Address:
Dept. of Mathematics, Yale Universtiy
10 Hillhouse Avenue
New Haven, CT 06511
U.S.A.

Education

Yale University

  Ph.D. in Mathematics Sep. 2021 - Present

KAIST - Korea Advanced Institute of Science and Technology

  B.S. in Mathematical Sciences (Advanced Major) Mar. 2015 - Feb. 2021
  Graduated with Honors: Summa Cum Laude, Salutatorian, Deptartment Valedictorian
  Left for mandatory military service Mar. 2017 - Dec. 2018

Kangwon Science High School

  Valedictorian, One-year early graduation Mar. 2013 - Feb. 2015

Positions

TARGET - Team for Academic Research on GEometric Topology

  Researcher Jun. 2019 - Aug. 2021
  Advisor: Prof. Harry Hyungryul Baik

Institute for Advanced Study, Park City Mathematics Institute

  Undergraduate Summer School Jun. 2019 - Jul. 2021
  Topic: Quantum Field Theory and Manifold Invariants

University of California, Berkeley

  Summer Session Jun. 2015 - Aug. 2015
  With $10,000 funding from KAIST Presidential Fellowship

Publications

[ Google Scholar | arXiv | Note: I have used my informal middle name "M." ]


Accepted/Published Papers

[1]
Topological entropy of pseudo-Anosov maps from a typical Thurston's construction

Hyungryul Baik, Inhyeok Choi, and Dongryul M. Kim
Int. Math. Res. Not. IMRN, rnab167, https://doi.org/10.1093/imrn/rnab167  [Journal Link | arXiv:2006.10420]


Submitted Preprints

[5]
Minimal asymptotic translation lengths on curve complexes and homology of mapping tori

Hyungryul Baik, Dongryul M. Kim, and Chenxi Wu
arXiv:2107.09018 (2021)

[4]
Linear growth of translation lengths of random isometries on Gromov hyperbolic spaces and Teichmüller spaces

Hyungryul Baik, Inhyeok Choi, and Dongryul M. Kim
arXiv:2103.13616 (2021)

[3]
Simple length spectra as moduli for hyperbolic surfaces and Rigidity of length identities

Hyungryul Baik, Inhyeok Choi, and Dongryul M. Kim
arXiv:2012.05652 (2020)

[2]
On the asymptotic translation lengths on the sphere complexes and the generalized fibered cone

Hyungryul Baik, Dongryul M. Kim, and Chenxi Wu
arXiv:2011.08034 (2020)

[1]
On the surjectivity of the Symplectic representation of the mapping class group

Hyungryul Baik, Inhyeok Choi, and Dongryul M. Kim
arXiv:2008.10142 (2020)

Research Talks

Invited Talks

 CUNY Geometry and Topology Seminar [Link]

   Title: SLLN for asymptotic translation lengths of random isometries on Gromov hyperbolic spaces and Teichmüller spaces [Link] Nov. 02, 2021

 Yale Geometry and Topology Seminar [Link]

   Title: SLLN for asymptotic translation lengths of random isometries on Gromov hyperbolic spaces and Teichmüller spaces [Link] Sep. 21, 2021

 Virtual Seminar on Geometric Topology [Link]

   Title: Topological Entropy of pseudo-Anosov mapping classes obtained from typical Thurston Construction Apr. 22, 2020


Contributed Talks

 Graduate Student Seminar at Yale

   Title: Simple length spectra as moduli for hyperbolic surfaces Sep. 17, 2021

 Lightning talk at Geometric Group Theory in East Asia [Link]

   Title: A Nexus of Probability and Geometric topology Oct. 30, 2020

Teaching

KAIST MAS102 Calculus II

  Tutor for Freshmen Fall 2020

KAIST MAS101 Calculus I

  Tutor for Freshmen Spring 2020

KAIST MAS102 Calculus II

  Tutor for Freshmen Fall 2019

Collaborators (Math)

(Harry) Hyungryul Baik [ Webpage ]
  Associate Professor, KAIST
Inhyeok Choi [ Webpage ]
  Ph.D. Student, KAIST
Chenxi Wu [ Webpage ]
  Assistant Professor, The University of Wisconsin-Madison