Min YAN
严民
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

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ORCID
0000-0002-7509-4529

Scopus ID
55182955100




Research Interest Publications Projects Teaching Assignment RPG Supervision Space used




Research Interest

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Integrable systems
Hopf algebra
Geometric topology
Combinatorics



Publications

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All Years 33 2022 0 2021 3 2020 0 2019 1 2018 0 2017 0 2016 29

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Expand All Collapse All


2021 3

Tilings of the sphere by congruent pentagons I: Edge combinations a²b²c and a³bc
Advances in Mathematics, 17 July 2021, article number 107866
Wang, Erxiao; Yan, Min Article
Tilings of the sphere by congruent pentagons II: Edge combination a³b²
Advances in Mathematics, 17 July 2021, article number 107867
Wang, Erxiao; Yan, Min Article
Tilings of the sphere by congruent pentagons III: Edge combination a⁵
Advances in Mathematics, 24 July 2021, 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
Calculus: Rigor, Concision, Clarity / Jishan Hu, Jian-Shu Li, Wei-Ping Li, Min Yan. Hong Kong: Hong Kong Mathematical Society, 2010
Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min Book
拓扑学教程: 理论及应用
拓扑学教程: 理论及应用 / Min Yan. Beijing: Higher Education Press, 2010
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


Expand All Collapse All


Article 3

Tilings of the sphere by congruent pentagons I: Edge combinations a²b²c and a³bc
Advances in Mathematics, 17 July 2021, article number 107866
Wang, Erxiao; Yan, Min
Tilings of the sphere by congruent pentagons II: Edge combination a³b²
Advances in Mathematics, 17 July 2021, article number 107867
Wang, Erxiao; Yan, Min
Tilings of the sphere by congruent pentagons III: Edge combination a⁵
Advances in Mathematics, 24 July 2021, article number 107881
Akama, Yohji; Wang, Erxiao; Yan, Min


Expand All Collapse All


Article 1

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


Expand All Collapse All


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


Expand All Collapse All


Article 1

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


Expand All Collapse All


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


Expand All Collapse All


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


Expand All Collapse All


Book 2

Calculus: Rigor, Concision, Clarity
Calculus: Rigor, Concision, Clarity / Jishan Hu, Jian-Shu Li, Wei-Ping Li, Min Yan. Hong Kong: Hong Kong Mathematical Society, 2010
Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min
拓扑学教程: 理论及应用
拓扑学教程: 理论及应用 / Min Yan. Beijing: Higher Education Press, 2010
Yan, Min


Expand All Collapse All


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


Expand All Collapse All


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


Expand All Collapse All


Article 1

Equivariant Periodicity for Compact Group Actions
Advances in geometry, v. 5, (3), 2005, p. 363-376
Weinberger, S.; Yan, M.


Expand All Collapse All


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.


Expand All Collapse All


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


Expand All Collapse All


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


Expand All Collapse All


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.


Expand All Collapse All


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


Expand All Collapse All


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.


Expand All Collapse All


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.


Expand All Collapse All


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
Calculus: Rigor, Concision, Clarity / Jishan Hu, Jian-Shu Li, Wei-Ping Li, Min Yan. Hong Kong: Hong Kong Mathematical Society, 2010
Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min Book
拓扑学教程: 理论及应用
拓扑学教程: 理论及应用 / Min Yan. Beijing: Higher Education Press, 2010
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


No Publications


No Publications


No Publications






Teaching Assignment

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2021-22 Winter 0 2021-22 Fall 2 2020-21 Summer 0 2020-21 Spring 0 2020-21 Winter 0 2020-21 Fall 0

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MATH2111 Matrix Algebra and Applications
MATH2131 Honors in Linear and Abstract Algebra I


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments






Research Postgraduate (RPG) Supervision From January 2019 to December 2022 (As of 30 January 2022)

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Current RPGs

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Doctor of Philosophy LUK, Hoi Ping
Mathematics( 2017 - )









ProjectsFrom January 2020 to December 2022

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All Projects 2

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No Projects.
Tiling of the Sphere by Congruent Pentagons and Quadrilaterals


球面的五边及四边形拼贴 Leading


RGC - General Research Fund


Project Team (HKUST)
YAN Min (Lead)


2020 -




Fixed Point of Group Action on Space with Given Homotopy Type


给定同论类的空间上群作用的不动点 Leading


RGC - General Research Fund


Project Team (HKUST)
YAN Min (Lead)


2018 - 2021