Research
Publications and Preprints
Preprint.
(with M. Lyubich and S. Mukherjee) A general dynamical theory of Schwarz reflections, B-involutions, and algebraic correspondences
Preprint.
(with Y. Zhang) Circle packings, renormalizations and subdivision rules
Submitted [arXiv]
Submitted [arXiv]
(with I. Park) Polynomials with core entropy zero
Submitted [arXiv]
(with R. Lodge and S. Mukherjee) On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps
Geom. Funct. Anal. [journal] [arXiv]
Trans. Amer. Math. Soc. [journal] [arXiv]
J. Eur. Math. Soc. (JEMS) To appear [journal] [arXiv]
(with R. Lodge and S. Mukherjee) Circle packings, kissing reflection groups and critically fixed anti-rational maps
Forum Math. Sigma [journal] [arXiv]
J. Lond. Math. Soc. [journal] [arXiv]
Duke Math. J. [journal] [arXiv]
Int. Math. Res. Not. IMRN [journal] [arXiv]
(with J. Lagarias and A. Padrol) Moser's Shadow Problem
Others
Minor Thesis
This is an expository paper I did as my minor thesis. The paper states the Stark's conjecture and proves it in some special cases.Undergraduate Research
Weakly Circle-Preserving Maps in Inversive Geometry (with J. Gibbons)
Colorings of the n-sphere and inversive geometry (with J. Gibbons)
Seminar and Conference Talks:
Algebraic, complex and arithmetic dynamics workshop, Simons Symposium, June 2024
Dynamics Seminar, Shanghai Center for Mathematical Sciences, Fudan University, May 2024
Colloquium, Zhejiang University, May 2024
Pacific Quasi-world Seminar, May 2024
Workshop on the frontiers in arithmetic dynamics, BICMR, May 2024
Group actions, Geometry and Dynamics seminar, Yale University, April 2024
Hua Luo Geng Young researcher Forum, Chinese Academy of Sciences, Nov 2023
Number Theory Seminar, Rutgers University, Nov 2023
Topology Seminar, Cornell University, Sept 2023
Dynamics Seminar, Stony Brook University, June 2023
Hua Luo Geng Young researcher Forum, Chinese Academy of Sciences, May 2023
Online Seminar on Algebraic and Complex Dynamics, Tsinghua University, May 2023
Dynamics Seminar, Stony Brook University, April 2023
Number Theory Seminar, Rutgers University, March 2023
Geometry and Topology Seminar, University of Maryland, March 2023
Geometry and Topology Seminar, Caltech, Feb 2023
AWM-AMS Special Session on Complex and Arithmetic Dynamical Systems, JMM, Jan 2023
Colloquium, NUS, Dec 2022
Colloquium, Boston College, Nov 2022
Oliver Club, Cornell University, Nov 2022
Dynamics Seminar, Stony Brook University, Nov 2022
Dynamics Seminar, University of North Texas, Oct 2022
Dynamics Seminar, Graduate Center, CUNY, Sept 2022
Young Mathematician Lecture Series, NUS, Sept 2022
Informal workshop in arithmetic and algebraic dynamics, Harvard University, May 2022
MSRI-Stony Brook Joint Seminar, MSRI, April 2022 [Recording][Notes]
Virginia Topology Conference, University of Virginia, Nov 2021
Dynamics Seminar, Stony Brook University, Oct 2021
Advancing Bridges in Complex Dynamics Conference, Centre International de Rencontres Mathématiques, Sept 2021
Dynamics Seminar, University of Oklahoma, Sept 2021
Kleinian Groups and Rational Maps workshop, Indianna University at Bloomington, July 2021
Conformal Dynamics and Groups Seminar, Peking University, April 2021
Dynamics Seminar, University of Michigan, Ann Arbor, March 2021
Number Theory Seminar, Rutgers University, March 2021
Infosys Chandrasekharan Random Geometry Colloquium, Tata Institute of Fundamental Research, Feb 2021
Geomtry and Topology Seminar, NUS, Feb 2021
Quasi-world Seminar, UCLA, Dec 2020
Dynamics Seminar, University of Michigan, Ann Arbor, Sept 2020
Dynamics Seminar, Stony Brook University, Sept 2020
Dynamics Seminar, Pontificia Universidad Catolica de Valparaiso, April 2020
Hua Luo Geng Young researcher Forum, Chinese Academy of Sciences, (Postponed)
Dynamics Seminar, Graduate Center, CUNY, Dec. 2019
Dynamics Seminar, Indiana University at Bloomington, Nov. 2019
Dynamics Seminar, Northwestern University, Oct. 2019
International Conference in Complex Analysis, Zhejiang University, Sept. 2019
Mini Course (3 lectures), Stony Brook University, Sept. - Oct. 2019
Dynamics Seminar, Stony Brook University, Sept. 2019
Dynamics Seminar, Zhejiang University, Aug. 2019
Dynamics Seminar, Boston College, March 2019
Geometry and Topology Seminar, Caltech, March 2019
Dynamics Seminar, University of Michigan, Ann Arbor, Oct. 2018
Geometry Seminar, Yale University, Oct. 2018
Dynamics Seminar, Stony Brook University, June 2018
Workshop in Dynamics, Northwestern University, May 2018
BGMC, Boston University, Nov 2017
Dynamics and Geometry Seminar, Harvard University, Oct. 2017
Dynamics and Geometry Seminar, Harvard University, May 2017
Dynamics and Geometry Seminar, Harvard University, Nov. 2016
Conferences and Workshops Attended:
The circle at infinity: an international colloquium in honor of Curtis T. McMullen, June 2022, Harvard University
Informal workshop in arithmetic and algebraic dynamics, May 2022, Harvard University.
Virginia Topology Conference, Nov 2021, University of Virginia.
Advancing Bridges in Complex Dynamics, Sept 2021, Centre International de Rencontres Mathématiques.
Many faces of renormalization, March 2021. Simons Center for Geometry and Physics.
Analysis, Dynamics, Geometry and Probability, March 2020. Simons Center for Geometry and Physics.
Small dynamics workshop, May 2018. Northwestern University.
Families of Algebraic Dynamical Systems, June 2017. Centre Henri Lebesgue.
Secret dynamics workshop, May 2017. University of Michigan, Ann Arbor.
Geometry, Topology and Dynamics of Moduli Spaces, Aug. 2016. IMS, Singapore.
North-American Workshop in Holomorphic Dynamics, May-June 2016. Cancún, México.
Dynamical Developments: a conference in Complex Dynamics and Teichmüller theory, August 2015. Jacobs University, Bremen.
Classical and quantum hyperbolic geometry and topology, July 2015. Université Paris-Sud (Orsay).
Teichmuller Modular Groups, March 2015. University of Chicago.