Department of Mathematics
The University of Tennessee at Chattanooga
415 EMCS Building, Dept. 6956
615 McCallie Ave
Chattanooga, TN 37403, USA
Office: EMCS 413D
Phone: (423)425-4577
Email: Roy-Liu@utc.edu
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Xuhua (Roy) Liu |
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Assistant Professor Department of Mathematics The University of Tennessee at Chattanooga 415 EMCS Building, Dept. 6956 615 McCallie Ave Chattanooga, TN 37403, USA Office: EMCS 413D Phone: (423)425-4577 Email: Roy-Liu@utc.edu |
| Teaching |
| 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 |
| Research Interests |
| Matrices, Lie Algebras, Lie Groups |
| Publications |
| 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. |
| 0. | Xuhua Liu 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. |
| Math Links |