Professor

Research Interests

Integrable systems; Hopf algebra; geometric topology; combinatorics

Teaching

• MATH2121  Linear Algebra
• MATH4225  Topology

Selected Publications

  Article

1. On Deformed Dodecahedron Tilings
   • Author(s): Akama, Yohji; Yan, Min
   • Source: Australasian Journal of Combinatorics, v. 85, (1), February 2023, p. 1-14
   • Year: 2023


2. Fixed point sets and the fundamental group II: Euler characteristics
   • Author(s): Cappell, Sylvain; Weinberger, Shmuel; Yan, Min
   • Source: Proceedings of the Royal Society of Edinburgh Section A: Mathematics, October 2023, p. 1-20
   • Year: 2023


3. Fixed Point Sets and the Fundamental Group I: Semi-free Actions on G-CW-Complexes
   • Author(s): Cappell, Sylvain; Weinberger, Shmuel; Yan, Min
   • Source: Proceedings of the Royal Society of Edinburgh Section A: Mathematics, August 2023, p. 1-22
   • Year: 2023


4. Tilings of the sphere by congruent pentagons II: Edge combination a³b²
   • Author(s): Wang, Erxiao; Yan, Min
   • Source: Advances in Mathematics, v. 394, 22 January 2022, article number 107867
   • Year: 2022


5. Tilings of the sphere by congruent pentagons I: Edge combinations a²b²c and a³bc
   • Author(s): Wang, Erxiao; Yan, Min
   • Source: Advances in Mathematics, v. 394, 22 January 2022, article number 107866
   • Year: 2022


6. Tilings of the sphere by congruent pentagons III: Edge combination a⁵
   • Author(s): Akama, Yohji; Wang, Erxiao; Yan, Min
   • Source: Advances in Mathematics, v. 394, 22 January 2022, article number 107881
   • Year: 2022


7. Pentagonal Subdivision
   • Author(s): Yan, Min
   • Source: Electronic Journal of Combinatorics, v. 26, (4), October 2019, article number P4.19
   • Year: 2019


8. Topological classification of multiaxial U(n)-actions (with an appendix by Jared Bass)
   • Author(s): Cappell, Sylvain E.; Weinberger, Shmuel A.; Yan, Min; Bass, Jared
   • Source: Journal of the European Mathematical Society, v. 17, (9), 2015, p. 2175-2208
   • Year: 2015


9. Extension of Convex Function
   • Author(s): Yan, Min
   • Source: Journal of Convex Analysis, v. 21, (4), 2014, p. 965-987
   • Year: 2014


10. Closed aspherical manifolds with center
    • Author(s): Cappell, Sylvain; Weinberger, Shmuel; Yan, Min
    • Source: Journal of Topology, v. 6, (4), 2013, article number jtt023, p. 1009-1018
    • Year: 2013


11. Spherical tiling by 12 congruent pentagons
    • Author(s): Gao, Honghao; Shi, Nan; Yan, Min
    • Source: Journal of Combinatorial Theory. Series A, v. 120, (4), May 2013, p. 744-776
    • Year: 2013


12. Combinatorial tilings of the sphere by pentagons
    • Author(s): Yan, Min
    • Source: Electronic Journal of Combinatorics, v. 20, (1), March 2013
    • Year: 2013


13. Replacement of Fixed Sets for Compact Group Actions: The 2ρ Theorem
    • Author(s): Cappell, Sylvain; Weinberger, Shmuel; Yan, Min
    • Source: Pure & Applied Mathematics Quarterly, v. 8, (1), 2012, p. 53-78
    • Year: 2012


14. Equivariant Periodicity for Compact Group Actions
    • Author(s): Weinberger, S.; Yan, M.
    • Source: Advances in geometry, v. 5, (3), 2005, p. 363-376
    • Year: 2005


15. An elementary and direct proof of the Painleve property for the Painleve equations I, II and IV
    • Author(s): Hu, JS; Yan, M.
    • Source: Journal d Analyse Mathematique, v. 91, 2003, p. 105-121
    • Year: 2003


16. Mirror transformations of Hamiltonian systems
    • Author(s): Hu, JS; Yan, M.; Yee, TL
    • Source: PHYSICA D, v. 152, 2001, MAY 15, p. 110-123
    • Year: 2001


17. On Hopf algebras with positive bases
    • Author(s): Lu, JH; Yan, M.; Zhu, YC
    • Source: Journal of algebra, v. 237, (2), 2001, MAR 15, p. 421-445
    • Year: 2001


18. Equivariant periodicity for abelian group actions
    • Author(s): Weinberger, S.; Yan, M.
    • Source: Advances in Geometry, v. 1, (1), 2001, p. 49-70
    • Year: 2001


19. Symplectic Structure of the Painlevé Test
    • Author(s): Hu, Jishan; Yan, Min
    • Source: Journal of Nonlinear Mathematical Physics, v. 8, (Suppl. 1), February 2001, p. 145-148
    • Year: 2001


20. The mirror systems of integrable equations
    • Author(s): Hu, JS; Yan, M.
    • Source: Studies in applied mathematics, v. 104, (1), 2000, JAN, p. 67-90
    • Year: 2000


21. On the set-theoretical Yang-Baxter equation
    • Author(s): Lu, JH; Yan, M.; Zhu, YC
    • Source: Duke mathematical journal, v. 104, (1), 2000, JUL 15, p. 1-18
    • Year: 2000


22. Singularity analysis for integrable systems by their mirrors
    • Author(s): Hu, JS; Yan, M.
    • Source: Nonlinearity, v. 12, (6), 1999, NOV, p. 1531-1543
    • Year: 1999


23. Eulerian 2-strata spaces
    • Author(s): Chen, BF; Yan, M.
    • Source: Journal OF combinatorial THEORY Series A, v. 85, (1), 1999, JAN, p. 1-28
    • Year: 1999


24. Stabilizer for Hopf algebra actions
    • Author(s): Yan, M.; Zhu, YC
    • Source: Communications in algebra, v. 26, (12), 1998, p. 3885-3898
    • Year: 1998


25. Eulerian stratification of polyhedra
    • Author(s): Chen, BF; Yan, M.
    • Source: Advances in applied mathematics, v. 21, (1), 1998, JUL, p. 22-57
    • Year: 1998


26. The geometric cone relations for simplicial and cubical complexes
    • Author(s): Chen, BF; Yan, M.
    • Source: Discrete mathematics, v. 183, (1-3), 1998, MAR 15, p. 39-46
    • Year: 1998


27. f-vectors of polyhedra
    • Author(s): Yan, M.
    • Source: Geometriae dedicata, v. 68, (1), 1997, NOV, p. 21-28
    • Year: 1997


28. Linear conditions on the number of faces of manifolds with boundary
    • Author(s): Chen, BF; Yan, M.
    • Source: Advances in applied mathematics, v. 19, (1), 1997, JUL, p. 144-168
    • Year: 1997

  Book

1. 拓撲學教程: 理論及應用
   • Author(s): Yan, Min
   • Year: 2010


2. Calculus: Rigor, Concision, Clarity
   • Author(s): Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min
   • Year: 2010

  Conference paper

1. Functoriality in Equivariant Surgery Theory
   • Author(s): Yan, Min; Weinberger, Shmuel; Cappell, Sylvain
   • Source: Transformation Groups in Topology and Geometry, University of Massachusetts, Amherst, USA
   • Year: 2008


2. Functoriality in Equivariant Surgery Theory
   • Author(s): Yan, Min; Weinberger, Shmuel; Cappell, Sylvain
   • Source: XVI Brazilian Topology Meeting, University of Sao Carlos, Sao Carlos, Brazil
   • Year: 2008


3. Replacement theorems for compact group actions: The 2 rho theorem
   • Author(s): Yan, Min; Weinberger, Shmuel
   • Source: 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
   • Year: 2007


4. A Link between two Fundamental Contributions of Kowalevski
   • Author(s): Hu, Jishan; Yan, Min
   • Source: The Kowalevski Property, CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI
   • Year: 2002


5. Local analyticity of solutions in the Painleve test
   • Author(s): Hu, JS; Yan, M.
   • Source: PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, 2000, p. 146-152
   • Year: 2000


6. Stratified approach in combinatorics
   • Author(s): Yan, Min; Chen, Bei-Fang
   • Source: 1999 Meeting of the American Mathematical Society, San Antonio, TX (USA), 13-16 Jan 1999. (World Meeting Number 991 5023)
   • Year: 1999