Faculty Profiles - YAN Min | The Hong Kong University of Science and Technology

Min YAN
嚴民

PhD in Mathematics
The University of Chicago, 1990

Professor
Department of Mathematics

Director of International Affairs (School of Science)

(852) 2358 7442
mamyan@ust.hk
Room 3487
Personal Web

ORCID

0000-0002-7509-4529

Scopus ID

55182955100

Research Interest Publications Projects Teaching Assignment RPG Supervision Space used

Research Interest

Integrable systems
Hopf algebra
Geometric topology
Combinatorics

Publications

All Years 36 2024 0 2023 3 2022 3 2021 0 2020 0 2019 1 2018 29

2023 3

Fixed Point Sets and the Fundamental Group I: Semi-free Actions on G-CW-Complexes

Proceedings of the Royal Society of Edinburgh Section A: Mathematics, August 2023, p. 1-22
Cappell, Sylvain; Weinberger, Shmuel; Yan, Min
Article

Fixed point sets and the fundamental group II: Euler characteristics

Proceedings of the Royal Society of Edinburgh Section A: Mathematics, October 2023, p. 1-20
Cappell, Sylvain; Weinberger, Shmuel; Yan, Min
Article

On Deformed Dodecahedron Tilings

Australasian Journal of Combinatorics, v. 85, (1), February 2023, p. 1-14
Akama, Yohji; Yan, Min
Article

2022 3

Tilings of the sphere by congruent pentagons I: Edge combinations a²b²c and a³bc

Advances in Mathematics, v. 394, 22 January 2022, article number 107866
Wang, Erxiao; Yan, Min
Article

Tilings of the sphere by congruent pentagons II: Edge combination a³b²

Advances in Mathematics, v. 394, 22 January 2022, article number 107867
Wang, Erxiao; Yan, Min
Article

Tilings of the sphere by congruent pentagons III: Edge combination a⁵

Advances in Mathematics, v. 394, 22 January 2022, article number 107881
Akama, Yohji; Wang, Erxiao; Yan, Min
Article

2019 1

Pentagonal Subdivision

Electronic Journal of Combinatorics, v. 26, (4), October 2019, article number P4.19
Yan, Min
Article

2015 1

Topological classification of multiaxial U(n)-actions (with an appendix by Jared Bass)

Journal of the European Mathematical Society, v. 17, (9), 2015, p. 2175-2208
Cappell, Sylvain E.; Weinberger, Shmuel A.; Yan, Min; Bass, Jared
Article

2014 1

Extension of Convex Function

Journal of Convex Analysis, v. 21, (4), 2014, p. 965-987
Yan, Min
Article

2013 3

Closed aspherical manifolds with center

Journal of Topology, v. 6, (4), 2013, article number jtt023, p. 1009-1018
Cappell, Sylvain; Weinberger, Shmuel; Yan, Min
Article

Combinatorial tilings of the sphere by pentagons

Electronic Journal of Combinatorics, v. 20, (1), March 2013
Yan, Min
Article

Spherical tiling by 12 congruent pentagons

Journal of Combinatorial Theory. Series A, v. 120, (4), May 2013, p. 744-776
Gao, Honghao; Shi, Nan; Yan, Min
Article

2012 1

Replacement of Fixed Sets for Compact Group Actions: The 2ρ Theorem

Pure & Applied Mathematics Quarterly, v. 8, (1), 2012, p. 53-78
Cappell, Sylvain; Weinberger, Shmuel; Yan, Min
Article

2010 2

Calculus: Rigor, Concision, Clarity

Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min
Book

拓撲學教程: 理論及應用

Yan, Min
Book

2008 2

Functoriality in Equivariant Surgery Theory

XVI Brazilian Topology Meeting, University of Sao Carlos, Sao Carlos, Brazil
Yan, Min; Weinberger, Shmuel; Cappell, Sylvain
Conference paper

Functoriality in Equivariant Surgery Theory

Transformation Groups in Topology and Geometry, University of Massachusetts, Amherst, USA
Yan, Min; Weinberger, Shmuel; Cappell, Sylvain
Conference paper

2007 1

Replacement theorems for compact group actions: The 2 rho theorem

Geometry, Topology, and their Interactions: An international conference in honor of Farrell-Jones Jim Davis, Daniel Juan-Pineda, Jean-Francois Lafont, Stratos Prassidis Morelia, Mexico, January 8th-13th, 2007
Yan, Min; Weinberger, Shmuel
Conference paper

2005 1

Equivariant Periodicity for Compact Group Actions

Advances in geometry, v. 5, (3), 2005, p. 363-376
Weinberger, S.; Yan, M.
Article

2003 1

An elementary and direct proof of the Painleve property for the Painleve equations I, II and IV

Journal d Analyse Mathematique, v. 91, 2003, p. 105-121
Hu, JS; Yan, M.
Article

2002 1

A Link between two Fundamental Contributions of Kowalevski

The Kowalevski Property, CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI
Hu, Jishan; Yan, Min
Conference paper

2001 4

Equivariant periodicity for abelian group actions

Advances in Geometry, v. 1, (1), 2001, p. 49-70
Weinberger, S.; Yan, M.
Article

Mirror transformations of Hamiltonian systems

PHYSICA D, v. 152, 2001, MAY 15, p. 110-123
Hu, JS; Yan, M.; Yee, TL
Article

On Hopf algebras with positive bases

Journal of algebra, v. 237, (2), 2001, MAR 15, p. 421-445
Lu, JH; Yan, M.; Zhu, YC
Article

Symplectic Structure of the Painlevé Test

Journal of Nonlinear Mathematical Physics, v. 8, (Suppl. 1), February 2001, p. 145-148
Hu, Jishan; Yan, Min
Article

2000 3

On the set-theoretical Yang-Baxter equation

Duke mathematical journal, v. 104, (1), 2000, JUL 15, p. 1-18
Lu, JH; Yan, M.; Zhu, YC
Article

The mirror systems of integrable equations

Studies in applied mathematics, v. 104, (1), 2000, JAN, p. 67-90
Hu, JS; Yan, M.
Article

Local analyticity of solutions in the Painleve test

PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, 2000, p. 146-152
Hu, JS; Yan, M.
Conference paper

1999 3

Eulerian 2-strata spaces

Journal OF combinatorial THEORY Series A, v. 85, (1), 1999, JAN, p. 1-28
Chen, BF; Yan, M.
Article

Singularity analysis for integrable systems by their mirrors

Nonlinearity, v. 12, (6), 1999, NOV, p. 1531-1543
Hu, JS; Yan, M.
Article

Stratified approach in combinatorics

1999 Meeting of the American Mathematical Society, San Antonio, TX (USA), 13-16 Jan 1999. (World Meeting Number 991 5023)
Yan, Min; Chen, Bei-Fang
Conference paper

1998 3

Eulerian stratification of polyhedra

Advances in applied mathematics, v. 21, (1), 1998, JUL, p. 22-57
Chen, BF; Yan, M.
Article

Stabilizer for Hopf algebra actions

Communications in algebra, v. 26, (12), 1998, p. 3885-3898
Yan, M.; Zhu, YC
Article

The geometric cone relations for simplicial and cubical complexes

Discrete mathematics, v. 183, (1-3), 1998, MAR 15, p. 39-46
Chen, BF; Yan, M.
Article

1997 2

f-vectors of polyhedra

Geometriae dedicata, v. 68, (1), 1997, NOV, p. 21-28
Yan, M.
Article

Linear conditions on the number of faces of manifolds with boundary

Advances in applied mathematics, v. 19, (1), 1997, JUL, p. 144-168
Chen, BF; Yan, M.
Article

Article 3

Fixed Point Sets and the Fundamental Group I: Semi-free Actions on G-CW-Complexes

Proceedings of the Royal Society of Edinburgh Section A: Mathematics, August 2023, p. 1-22
Cappell, Sylvain; Weinberger, Shmuel; Yan, Min

Fixed point sets and the fundamental group II: Euler characteristics

Proceedings of the Royal Society of Edinburgh Section A: Mathematics, October 2023, p. 1-20
Cappell, Sylvain; Weinberger, Shmuel; Yan, Min

On Deformed Dodecahedron Tilings

Australasian Journal of Combinatorics, v. 85, (1), February 2023, p. 1-14
Akama, Yohji; Yan, Min

Article 3

Tilings of the sphere by congruent pentagons I: Edge combinations a²b²c and a³bc

Advances in Mathematics, v. 394, 22 January 2022, article number 107866
Wang, Erxiao; Yan, Min

Tilings of the sphere by congruent pentagons II: Edge combination a³b²

Advances in Mathematics, v. 394, 22 January 2022, article number 107867
Wang, Erxiao; Yan, Min

Tilings of the sphere by congruent pentagons III: Edge combination a⁵

Advances in Mathematics, v. 394, 22 January 2022, article number 107881
Akama, Yohji; Wang, Erxiao; Yan, Min

Article 1

Pentagonal Subdivision

Electronic Journal of Combinatorics, v. 26, (4), October 2019, article number P4.19
Yan, Min

Article 1

Topological classification of multiaxial U(n)-actions (with an appendix by Jared Bass)

Journal of the European Mathematical Society, v. 17, (9), 2015, p. 2175-2208
Cappell, Sylvain E.; Weinberger, Shmuel A.; Yan, Min; Bass, Jared

Article 1

Extension of Convex Function

Journal of Convex Analysis, v. 21, (4), 2014, p. 965-987
Yan, Min

Article 3

Closed aspherical manifolds with center

Journal of Topology, v. 6, (4), 2013, article number jtt023, p. 1009-1018
Cappell, Sylvain; Weinberger, Shmuel; Yan, Min

Combinatorial tilings of the sphere by pentagons

Electronic Journal of Combinatorics, v. 20, (1), March 2013
Yan, Min

Spherical tiling by 12 congruent pentagons

Journal of Combinatorial Theory. Series A, v. 120, (4), May 2013, p. 744-776
Gao, Honghao; Shi, Nan; Yan, Min

Article 1

Replacement of Fixed Sets for Compact Group Actions: The 2ρ Theorem

Pure & Applied Mathematics Quarterly, v. 8, (1), 2012, p. 53-78
Cappell, Sylvain; Weinberger, Shmuel; Yan, Min

Book 2

Calculus: Rigor, Concision, Clarity

Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min

拓撲學教程: 理論及應用

Yan, Min

Conference paper 2

Functoriality in Equivariant Surgery Theory

XVI Brazilian Topology Meeting, University of Sao Carlos, Sao Carlos, Brazil
Yan, Min; Weinberger, Shmuel; Cappell, Sylvain

Functoriality in Equivariant Surgery Theory

Transformation Groups in Topology and Geometry, University of Massachusetts, Amherst, USA
Yan, Min; Weinberger, Shmuel; Cappell, Sylvain

Conference paper 1

Replacement theorems for compact group actions: The 2 rho theorem

Geometry, Topology, and their Interactions: An international conference in honor of Farrell-Jones Jim Davis, Daniel Juan-Pineda, Jean-Francois Lafont, Stratos Prassidis Morelia, Mexico, January 8th-13th, 2007
Yan, Min; Weinberger, Shmuel

Article 1

Equivariant Periodicity for Compact Group Actions

Advances in geometry, v. 5, (3), 2005, p. 363-376
Weinberger, S.; Yan, M.

Article 1

An elementary and direct proof of the Painleve property for the Painleve equations I, II and IV

Journal d Analyse Mathematique, v. 91, 2003, p. 105-121
Hu, JS; Yan, M.

Conference paper 1

A Link between two Fundamental Contributions of Kowalevski

The Kowalevski Property, CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI
Hu, Jishan; Yan, Min

Article 4

Equivariant periodicity for abelian group actions

Advances in Geometry, v. 1, (1), 2001, p. 49-70
Weinberger, S.; Yan, M.

Mirror transformations of Hamiltonian systems

PHYSICA D, v. 152, 2001, MAY 15, p. 110-123
Hu, JS; Yan, M.; Yee, TL

On Hopf algebras with positive bases

Journal of algebra, v. 237, (2), 2001, MAR 15, p. 421-445
Lu, JH; Yan, M.; Zhu, YC

Symplectic Structure of the Painlevé Test

Journal of Nonlinear Mathematical Physics, v. 8, (Suppl. 1), February 2001, p. 145-148
Hu, Jishan; Yan, Min

Article 2

On the set-theoretical Yang-Baxter equation

Duke mathematical journal, v. 104, (1), 2000, JUL 15, p. 1-18
Lu, JH; Yan, M.; Zhu, YC

The mirror systems of integrable equations

Studies in applied mathematics, v. 104, (1), 2000, JAN, p. 67-90
Hu, JS; Yan, M.

Conference paper 1

Local analyticity of solutions in the Painleve test

PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, 2000, p. 146-152
Hu, JS; Yan, M.

Article 2

Eulerian 2-strata spaces

Journal OF combinatorial THEORY Series A, v. 85, (1), 1999, JAN, p. 1-28
Chen, BF; Yan, M.

Singularity analysis for integrable systems by their mirrors

Nonlinearity, v. 12, (6), 1999, NOV, p. 1531-1543
Hu, JS; Yan, M.

Conference paper 1

Stratified approach in combinatorics

1999 Meeting of the American Mathematical Society, San Antonio, TX (USA), 13-16 Jan 1999. (World Meeting Number 991 5023)
Yan, Min; Chen, Bei-Fang

Article 3

Eulerian stratification of polyhedra

Advances in applied mathematics, v. 21, (1), 1998, JUL, p. 22-57
Chen, BF; Yan, M.

Stabilizer for Hopf algebra actions

Communications in algebra, v. 26, (12), 1998, p. 3885-3898
Yan, M.; Zhu, YC

The geometric cone relations for simplicial and cubical complexes

Discrete mathematics, v. 183, (1-3), 1998, MAR 15, p. 39-46
Chen, BF; Yan, M.

Article 2

f-vectors of polyhedra

Geometriae dedicata, v. 68, (1), 1997, NOV, p. 21-28
Yan, M.

Linear conditions on the number of faces of manifolds with boundary

Advances in applied mathematics, v. 19, (1), 1997, JUL, p. 144-168
Chen, BF; Yan, M.

2015 1

Topological classification of multiaxial U(n)-actions (with an appendix by Jared Bass)

Journal of the European Mathematical Society, v. 17, (9), 2015, p. 2175-2208
Cappell, Sylvain E.; Weinberger, Shmuel A.; Yan, Min; Bass, Jared
Article

2014 1

Extension of Convex Function

Journal of Convex Analysis, v. 21, (4), 2014, p. 965-987
Yan, Min
Article

2013 3

Closed aspherical manifolds with center

Journal of Topology, v. 6, (4), 2013, article number jtt023, p. 1009-1018
Cappell, Sylvain; Weinberger, Shmuel; Yan, Min
Article

Combinatorial tilings of the sphere by pentagons

Electronic Journal of Combinatorics, v. 20, (1), March 2013
Yan, Min
Article

Spherical tiling by 12 congruent pentagons

Journal of Combinatorial Theory. Series A, v. 120, (4), May 2013, p. 744-776
Gao, Honghao; Shi, Nan; Yan, Min
Article

2012 1

Replacement of Fixed Sets for Compact Group Actions: The 2ρ Theorem

Pure & Applied Mathematics Quarterly, v. 8, (1), 2012, p. 53-78
Cappell, Sylvain; Weinberger, Shmuel; Yan, Min
Article

2010 2

Calculus: Rigor, Concision, Clarity

Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min
Book

拓撲學教程: 理論及應用

Yan, Min
Book

2008 2

Functoriality in Equivariant Surgery Theory

XVI Brazilian Topology Meeting, University of Sao Carlos, Sao Carlos, Brazil
Yan, Min; Weinberger, Shmuel; Cappell, Sylvain
Conference paper

Functoriality in Equivariant Surgery Theory

Transformation Groups in Topology and Geometry, University of Massachusetts, Amherst, USA
Yan, Min; Weinberger, Shmuel; Cappell, Sylvain
Conference paper

2007 1

Replacement theorems for compact group actions: The 2 rho theorem

Geometry, Topology, and their Interactions: An international conference in honor of Farrell-Jones Jim Davis, Daniel Juan-Pineda, Jean-Francois Lafont, Stratos Prassidis Morelia, Mexico, January 8th-13th, 2007
Yan, Min; Weinberger, Shmuel
Conference paper

2005 1

Equivariant Periodicity for Compact Group Actions

Advances in geometry, v. 5, (3), 2005, p. 363-376
Weinberger, S.; Yan, M.
Article

2003 1

An elementary and direct proof of the Painleve property for the Painleve equations I, II and IV

Journal d Analyse Mathematique, v. 91, 2003, p. 105-121
Hu, JS; Yan, M.
Article

2002 1

A Link between two Fundamental Contributions of Kowalevski

The Kowalevski Property, CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI
Hu, Jishan; Yan, Min
Conference paper

2001 4

Equivariant periodicity for abelian group actions

Advances in Geometry, v. 1, (1), 2001, p. 49-70
Weinberger, S.; Yan, M.
Article

Mirror transformations of Hamiltonian systems

PHYSICA D, v. 152, 2001, MAY 15, p. 110-123
Hu, JS; Yan, M.; Yee, TL
Article

On Hopf algebras with positive bases

Journal of algebra, v. 237, (2), 2001, MAR 15, p. 421-445
Lu, JH; Yan, M.; Zhu, YC
Article

Symplectic Structure of the Painlevé Test

Journal of Nonlinear Mathematical Physics, v. 8, (Suppl. 1), February 2001, p. 145-148
Hu, Jishan; Yan, Min
Article

2000 3

On the set-theoretical Yang-Baxter equation

Duke mathematical journal, v. 104, (1), 2000, JUL 15, p. 1-18
Lu, JH; Yan, M.; Zhu, YC
Article

The mirror systems of integrable equations

Studies in applied mathematics, v. 104, (1), 2000, JAN, p. 67-90
Hu, JS; Yan, M.
Article

Local analyticity of solutions in the Painleve test

PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, 2000, p. 146-152
Hu, JS; Yan, M.
Conference paper

1999 3

Eulerian 2-strata spaces

Journal OF combinatorial THEORY Series A, v. 85, (1), 1999, JAN, p. 1-28
Chen, BF; Yan, M.
Article

Singularity analysis for integrable systems by their mirrors

Nonlinearity, v. 12, (6), 1999, NOV, p. 1531-1543
Hu, JS; Yan, M.
Article

Stratified approach in combinatorics

1999 Meeting of the American Mathematical Society, San Antonio, TX (USA), 13-16 Jan 1999. (World Meeting Number 991 5023)
Yan, Min; Chen, Bei-Fang
Conference paper

1998 3

Eulerian stratification of polyhedra

Advances in applied mathematics, v. 21, (1), 1998, JUL, p. 22-57
Chen, BF; Yan, M.
Article

Stabilizer for Hopf algebra actions

Communications in algebra, v. 26, (12), 1998, p. 3885-3898
Yan, M.; Zhu, YC
Article

The geometric cone relations for simplicial and cubical complexes

Discrete mathematics, v. 183, (1-3), 1998, MAR 15, p. 39-46
Chen, BF; Yan, M.
Article

1997 2

f-vectors of polyhedra

Geometriae dedicata, v. 68, (1), 1997, NOV, p. 21-28
Yan, M.
Article

Linear conditions on the number of faces of manifolds with boundary

Advances in applied mathematics, v. 19, (1), 1997, JUL, p. 144-168
Chen, BF; Yan, M.
Article

No Publications

Teaching Assignment

2024-25 Fall 3 2023-24 Summer 0 2023-24 Spring 4 2023-24 Winter 0 2023-24 Fall 2 2022-23 Summer 0

MATH1023	Honors Calculus I
MATH2131	Honors in Linear and Abstract Algebra I
MATH6912I	Reading Course: Tilings and Patterns

MATH2121	Linear Algebra
MATH4225	Topology
MATH4991	Capstone Project in Pure Mathematics
MATH4999	Independent Capstone Project

MATH2001	Foundation of Mathematics
MATH3043	Honors Real Analysis

No Teaching Assignments

Research Postgraduate (RPG) Supervision

From January 2021 to December 2024 (As of 21 November 2024)

All Supervisions Current RPGs Graduated RPGs

Current RPGs

Doctor of Philosophy

SUN, Haofang
Mathematics
WANG, Hongyang (co-supervision)
Mathematics

Graduated RPGs

Doctor of Philosophy

LUK, Hoi Ping
Mathematics( Completed in 2023 )

Projects

From January 2022 to December 2024

All Projects 2

No Projects.
Mathematical Tiling and Classification in 2D & 3D New Material Science

2D 和 3D 新材料科學中的數學密鋪與分類 Leading

National Natural Science Foundation of China (NSFC) / Research Grants Council (RGC)
Project Team (HKUST)
YAN Min (Lead)
2024 -
Tiling of the Sphere by Congruent Pentagons and Quadrilaterals

球面的五邊及四邊形拼貼 Leading

RGC - General Research Fund
Project Team (HKUST)
YAN Min (Lead)
2020 - 2023

Research Interest

Publications

2023 3

2022 3

2019 1

2015 1

2014 1

2013 3

2012 1

2010 2

2008 2

2007 1

2005 1

2003 1

2002 1

2001 4

2000 3

1999 3

1998 3

1997 2

Article 3

Article 3

Article 1

Article 1

Article 1

Article 3

Article 1

Book 2

Conference paper 2

Conference paper 1

Article 1

Article 1

Conference paper 1

Article 4

Article 2

Conference paper 1

Article 2

Conference paper 1

Article 3

Article 2

2015 1

2014 1

2013 3

2012 1

2010 2

2008 2

2007 1

2005 1

2003 1

2002 1

2001 4

2000 3

1999 3

1998 3

1997 2

Teaching Assignment

Research Postgraduate (RPG) Supervision

From January 2021 to December 2024 (As of 21 November 2024)

Current RPGs

Graduated RPGs

Projects

From January 2022 to December 2024

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