Chia-Hsin Liu

Employment

• Associate Professor, Department of Mathematics, National Taiwan Normal University, 2002-present.
• Assistant Professor, Department of Mathematics, National Taiwan Normal University, 2001-2002.
• Assistant Professor, Department of Applied Mathematics, National Sun Yet-sen University, 1999-2001.

Education

• Ph.D. University of Wisconsin-Madison, U.S.A., 1999
Thesis Advisor: Professor Donald S. Passman
Dissertation: Group identities, polynomial identities and generalized polynomial identities.
• M.A. University of Wisconsin-Madison, U.S.A., 1995
• B.S. National Taiwan University, Taipei, Taiwan, R.O.C., 1991

Research Interests

Publications ( abstracts )

1. Group algebras with units satisfying a group identity,
   Proc. Amer. Math. Soc. 127(1999), no. 2, 327--336.
2. Group algebras with units satisfying a group identity II, (with Donald S. Passman),
   Proc. Amer. Math. Soc. 127 (1999), no. 2, 337--341.
3. Group identities on units of locally finite algebras and twisted group algebras,
   Communications in Algebra 28 (2000), no. 10, 4783--4802.
4. Some properties on rings with units satisfying a group identity,
   Journal of Algebra 232 (2000), no. 1, 226--235.
   Errata
5. On nil subsemigroups of rings with group identities, (with K.I. Beidar and Wen-Fong Ke),
   Communications in Algebra 30 (2002), 347--352.
6. On units of twisted group algebras,
   Journal of Algebra 250 (2002), no. 1, 271--282.
7. Group identities and prime rings generated by units, (with Tsiu-Kwen Lee),
   Communications in Algebra 31 (2003), 3305--3309.
8. Automorphism groups of certain simple 2-(q,3,\lambda) designs constructed from finite fields , (with K.I. Beidar, W.-F. Ke and W.-R. Wu),
   Finite fields and Their Applications 9 (2003), 400--412.
9. Prime Lie rings of derivations of commutative rings in characteristic 2, (with Donald S. Passman),
   Journal of Algebra 311 (2007), no. 1, 352--364.
10. Semiprime Lie rings of derivations of commutative rings,
    Contemp. Math., 420, Amer. Math. Soc., 2006, 259--268.
11. Artinian Hopf algebras are finite dimensional, (with James J. Zhang),
    Proc. Amer. Math. Soc. 135 (2007), no. 6, 1679-1680.
12. Multiplicative Jordan decomposition in group rings of 3-groups, (with Donald S. Passman),
    Journal of Algebra and its applications 8 (2009), no. 4, 509--519.
13. Multiplicative Jordan decomposition in group rings of 2,3-groups, (with Donald S. Passman),
    Journal of Algebra and its applications, accepted.

Teaching for Spring 2010

• Topics in group rings W 9:00-12:00
• Algebra T 9:00-12:00

Courses Taught

• Fall 1999, Topology, Calculus.
• Spring 2000, Ring theory, Calculus.
• Fall 2000, Topology, Calculus.
• Spring 2001, Algebra (Graduate), Algebra, Calculus.
• Fall 2001, Algebra (Graduate), Algebra, Calculus.
• Spring 2002, Algebra (Graduate), Algebra, Calculus.
• Fall 2002, Representation theory of finite groups, Special topics in algebra, Calculus.
• Spring 2003, Representation theory of finite groups, Advanced linear algebra, Calculus.
• Fall 2003, Algebra, Set theory, Special topics in algebra, Topics in representation theory, Independent study.
• Spring 2004, Algebra, Advanced linear algebra, Lie algebra, Independent study.
• Fall 2004, Topics in algebra, Set theory, Representation theory of finite groups.
• Spring 2005, Topics in algebra, Advanced linear algebra, Representation theory of finite groups.
• Fall 2005, Algebra, Lie algebra.
• Spring 2006, Algebra, Advanced linear algebra, Topics in representation theory.
• Fall 2006, Algebra (Graduate), Topics in algebra, Topics in group rings.
• Spring 2007, Algebra (Graduate), Topics in group rings, Number theory.
• Fall 2008, Ring theory, Topics in algebra.
• Spring 2009, Ring theory, Number theory.
• Fall 2009, Topics in group rings, Algebra.
• Spring 2010, Topics in group rings, Algebra.

Talks

• Oct 30, 2009, National Taiwan University, Multiplicative Jordan decomposition in group rings.
• Oct 19, 2009, National Tsing Hwa University, Multiplicative Jordan decomposition in group rings.
• Mar 13, 2009, National Taiwan University, Multiplicative Jordan decomposition in integral group rings.
• Oct 23, 2006, National Chengchi University, Lie algebras of derivations of commutative algebras.
• Apr 29, 2006, National Chung Cheng University, Workshop on Algebra and Geometry, Lie algebras of derivations of commutative algebras.
• Dec 16, 2005, National Taiwan University, Prime Lie rings of derivations of commutative rings.
• Apr 24, 2004, National Chung Cheng University, Workshop on Algebra and Geometry, Group identities and semiprime rings generated by units.
• Feb 12, 2004, Academia Sinica, Group identities, group algebras and rings generated by units.
• Apr 26, 2003, National Chung Cheng University, Workshop on Algebra and Geometry, Artinian Hopf algebras.
• Feb 24, 2003, National Taiwan University, Artinian Hopf algebras.
• Apr 28, 2002, National Chung Cheng University, Workshop on Algebra and Geometry, Group identities and rings generated by units.
• Mar 27, 2002, National Taiwan Normal University, Hartley's problem and rings generated by units.
• Nov 30, 2001, National Taiwan University, Group identities and prime rings generated by units.
• Aug 14, 2001, University of Washington, On rings whose units satisfy a group identity.
• Apr 15, 2001, National Chung Cheng University, Seminar on Algebra, Group identities on units of twisted group algebras.
• Feb 14, 2001, National Taiwan Normal University, Units of twisted group algebras.
• Jan 15, 2001, National Taiwan University, Seminar of Algebra and Geometry, Units of group algebras and twisted group algebras.
• Dec 9, 2000, Tamkang University, Annual Meeting of Mathematical Society of ROC, Nilpotent elements in GI-rings and Koethe conjecture.
• Nov 11, 2000, National Sun Yat-sen University, Some properties on rings with units satisfying a group identity.
• Jun 20, 2000, National Taiwan University, Group identities, nilpotent elements and Koethe conjecture.
• Mar 29, 2000, Chinese University of Hong Kong, Workshop in Algebra and Discrete Mathematics, Group identities on units of rings.
• Dec 17, 1999, National Chiao Tung University, Algebras with units satisfying a group identity.
• Dec 12, 1999, Fu Jen Catholic University, Annual Meeting of Mathematical Society of ROC, Rings with units satisfying a group identity.
• Dec 8, 1999, National Chung Cheng University, Algebras with units satisfying a group identity.
• Nov 25, 1999, National Taiwan University, Some properties on rings with units satisfying a group identity.
• Apr 16, 1999, National Sun Yat-sen University, Group algebras with units satisfying a group identity.
• Apr 14, 1999, National Taiwan Normal University, Group algebras with units satisfying a group identity.
• Apr 13, 1999, Fu Jen Catholic University, Group algebras with units satisfying a group identity.
• Jan 7, 1999, National Cheng Kung University.
• Jan 6, 1999, National Chung Cheng University.
• Jan 5, 1999, National Chiao Tung University.
• Jan 4, 1999, National Taiwan University.
• Dec 30, 1998, National Tsing Hwa University.
• Jul 1997, National Taiwan University.
• 1997-1998, several talks in the ring theory seminar, Department of Mathematics, University of Wisconsin-Madison, USA.

Awards and Honors