Xuhua (Roy) Liu
Department of Mathematics
The University of Tennessee at Chattanooga
415 EMCS Building, Dept. 6956
615 McCallie Ave
Chattanooga, TN 37403, USA
Office: EMCS 413D
|2013 Spring||MATH 2200-0||Elementary Linear Algebra|
|2013 Spring||MATH 2200-1||Elementary Linear Algebra|
|2012 Fall||MATH 1710-1||Precalculus I|
|2012 Fall||MATH 1830-5||Calculus for Management, Life, and Social Sciences|
|Matrices, Lie Algebras, Lie Groups|
|5.||Xuhua Liu, Tin-Yau Tam
Connectedness, Hessians and generalized numerical ranges, accepted.
|4.||Xuhua Liu, Brice M. Nguelifack, Tin-Yau Tam
Unitary similarity to a complex symmetric matrix and its extension to orthogonal symmetric Lie algebras, Linear Algebra and Its Applications, Vol.438 (2013) No.10, 3789-3796.
|3.||Xuhua Liu, Tin-Yau Tam
Gradient flows for the minimum distance to the sum of adjoint orbits, Linear and Multilinear Algebra, Vol.61 (2013), No.5, 678-696.
|2.||Xuhua Liu, Dawit G. Tadesse, Tin-Yau Tam
A range associated with skew symmetric matrix, Linear and Multilinear Algebra, Vol.59 (2011), No.10, 1105-1120.
|1.||Wai-Shun Cheung, Xuhua Liu, Tin-Yau Tam
Multiplicities, boundary points, and joint numerical ranges, Operators and Matrices, Vol.5 (2011), No.1, 41-52.
Gradient Flows, Convexity, and Adjoint Orbits, PhD Dissertation, 2012.
|Conferences and Talks|
|15.||The 18th Conference of the International Linear Algebra Society, Providence, Rhode Island, USA, June 3-7, 2013.
Talk: Connectedness, Hessian, and Generalized Numerical Ranges
|14.||The Sixth Annual Southeastern Lie Theory Conference on Noncommutative Algebraic Geometry and Representation Theory, Louisiana State University, May 10-12, 2013.|
|13.||Southern Regional Algebra Conference, Southeastern Louisiana University, March 15-17, 2013.
Talk: On Copositive-Plus Matrices
|12.||Mathematics Colloquium, Department of Mathematics, The University of Tennessee at Chattanooga, October 5, 2012.
Talk: Connectedness, Hessian, and Generalized Numerical Range
|11.||Southern Regional Algebra Conference, Clayton State University, March 30 - April 1, 2012.
Talk: Unitary Similarity to a Complex Symmetric Matrix and its Extension to Orthogonal Symmetric Lie Algebras
|10.||Math Club Talk, Auburn University Montgomery, March 23, 2012.
Talk: An Invitation to Numerical Range
|9.||Joint Mathematics Meetings, Boston, January 4-7, 2012.
Talk: Gradient Flows for the Minimum Distance to the Sum of Adjoint Orbits
|8.||Graduate Student Seminar, Department of Mathematics and Statistics, Auburn University, September 28, 2011.
Talk: Unitary Similarity to a Complex Symmetric Matrix
|7.||Graduate Student Seminar, Department of Mathematics and Statistics, Auburn University, March 23, 2011.
Talk: An Invitation to Lie Theory
|6.||Joint Mathematics Meetings, New Orleans, January 6-9, 2011.
Talk: Multiplicities and Generalized Numerical Ranges
|5.||The Second Annual Southeastern Lie Theory Conference on Homological Methods in Representation Theory, University of Georgia, May 22-24, 2010.|
|4.||Southern Regional Algebra Conference, Auburn University Montgomery, March 26-28, 2010.
Talk: Multiplicities and Joint Numerical Ranges
|3.||Graduate Student Seminar, Department of Mathematics and Statistics, Auburn University, March 24, 2010.
Talk: Numerical Range
|2.||The First Annual Southeastern Lie Theory Conference on Combinatorial Lie Theory and Applications, North Carolina State University, October 9-11, 2009.|
|1.||IMA PI Summer Program for Graduate Students: Linear Algebra and Applications, Iowa State University, June 30 - July 25, 2008.|