Entry Information

PART 1: PERSONAL PARTICULARS

Name

Shuanghe Fan

Title

Dr

Gender

Male

Recent Photo

Recent Photo

Date of Birth

15/07/1994

Place of Birth

China

Type of Identity Document Held

Passport

HKID / Passport Number

ED488

Nationality

Chinese

PART 2: CONTACT INFORMATION

Email Address

Email hidden; Javascript is required.

Contact Phone Number

+8613126762875

Address

北京市海淀区月泉路八家嘉园22号楼2单元1903
北京
China

PART 3: FORUM INTEREST

Name of Recommending Laureate / Academic

Prof_Shing_Tung_YAU

First Discipline to be Joined

Mathematical Sciences

Second Discipline to be Joined

N/A

Statement of Purpose to Join the Forum (max. 200 words)

My research focuses on advancing singularity theory and complex geometry through novel frameworks like higher-order Jacobian and Hessian matrices. Under the guidance of Prof. Yau and Zuo, I developed the higher-order Jacobian matrix theory, constructing new invariants that generalize classical Tjurina and Milnor algebras. Additionally, I pioneered the higher-order Hessian matrix theory to study projective equivalence of Calabi-Yau manifolds. By deriving determinant-based invariants, I completely distinguished non-equivalent families of K3 surfaces in ℂℙ³, addressing a decades-old problem. These contributions deepen the interplay between algebraic geometry and singularity theory.

Beyond research, I serve as Head of the Graduate Affairs Group of the Qiuzhen College, where I coordinate academic programs and foster collaboration among mathematics graduate students. This role has honed my ability to bridge theoretical innovation with practical academic leadership, ensuring that complex ideas translate into collaborative, real-world solutions.

I seek to join the Hong Kong Laureate Forum to engage with leading mathematicians, discuss extending these theories to other branches of mathematics, and explore applications in theoretical physics and computer science. My goal is to leverage both my research expertise and leadership experience to cultivate interdisciplinary collaborations that bridge abstract mathematics and concrete challenges across disciplines.

PART 4: ACADEMIC AND/OR RESEARCH INFORMATION

Academic Level / Position

Postdoc

Academic Subject / Research Field

Singularity theory, Mathematics

Current Affiliated University / Institution / Organisation

Tsinghua University

Location

Beijing

Resume

Resume

Transcript 1

Transcript 1

Recommendation 1

Beijing Institute of Mathematical Sciences and Applications (BIMSA)

Recommendation Letter 1

Recommendation Letter 1

Recommendation 2

Tsinghua University

Recommendation Letter 2

Recommendation Letter 2

First Academic or Research Referee *

First Referee Name

Prof. Stephen Yau

First Referee University

Beijing Institute of Mathematical Sciences and Applications (BIMSA)

First Referee Position

BIMSA Professor

First Referee Email Address

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Second Academic or Research Referee

Second Referee Name

Prof. Huaiqing Zuo

Second Referee University

Tsinghua University

Second Referee Position

Deputy Director of the Department of Mathematical Sciences, Tsinghua University

Second Referee Email Address

Email hidden; Javascript is required.

Award(s) and/or Scientific Accomplishment(s) (if any) (max. 100 words)

Developed higher-order Jacobian theory, resolving singularity invariant conjectures via higher Nash blow-ups and extending Tjurina/Milnor algebras. Pioneered higher-order Hessian frameworks to classify projective equivalence of Calabi-Yau manifolds, solving the longstanding K3 surface classification in ℂℙ³. Established novel singularity-theoretic paradigms, deriving explicit invariants for hypersurfaces and projective varieties. Introduced innovative approaches to finite determinacy and automorphism inversion in power series rings.
Related presentations have been delivered at important international conferences.
Awards:
By Tsinghua University: Shuimu Tsinghua Scholar Program(2024); Excellent Doctoral Dissertation(2024); Candidate for the Highest Student Scholarship(2023); Wang Dazhong Scholarship(2023); Comprehensive First Class Scholarship(2022).
By Yau Center: Ruolin Scholarship(2022).

Reference/Certificate of Award and/or Scientific Accomplishement

Awards: By Tsinghua University: Shuimu Tsinghua Scholar Program(2024); Excellent Doctoral Dissertation(2024); Candidate for the Highest Student Scholarship(2023); Wang Dazhong Scholarship(2023); Comprehensive First Class Scholarship(2022). By Yau Center: Ruolin Scholarship(2022). Two famous international conferences by Prof. Stephen Yau. (The topics of his talks are higher order Jacobian matrix theory and higher order Hessian matrix theory respectively.)

Reference / Certificate of Award and / or Scientific Accomplishment Supporting Document

NEW-Reference-or-Certificate-of-Award-and-Scientific-Accomplishment-Supporting-Document_2_compressed.pdf

Publication List (if any)

List-of-publications_Shuanghe-Fan.pdf

Abstract of Research / Brief Description of Your Current Research Interest (max. 200 words)

My interest lies in developing new theories in combinatorial mathematics under the guidance of singularity theory, and finding applications in other branches of mathematics. Especially, finding applications of the recently developed novel higher order Jacobian matrix theory and recently invented higher order Hessian matrix theory in different branches of mathematics.

Would you like to present your Research in Poster Presentation Session and/or Flash Presentation?

Both Sessions

PART 5: OTHERS

Did you participate in the inaugural Hong Kong Laureate Forum?

N/A

How Did You Know About the Forum?

Our email