Pan-Shun Lau (劉品純)
I am a teaching assistant professor at Department of Mathematics & Statistics, University of Nevada, Reno.
I was a post-doctoral fellow at Department of Mathematics & Statistics, University of Nevada, Reno, working with Prof. Tin-Yau Tam.
I finished my PhD in 2016 at Department of Mathematics, the University of Hong Kong, under the supervision of Prof. Tuen-Wai Ng and Dr. Nam-Kiu Tsing.
After my graduation, I worked as a post-doctoral fellow at Department of Applied Mathematics, the Hong Kong Polytechnic University and my mentor was Dr. Nung-Sing Sze.
Contact
Office: DMSC 326
Phone: 775-682-8934
Address: 1664 N. Virginia Street, Department of Math & Stat, University of Nevada, Reno, Reno, NV 89557-0084, USA
Email: panlau [at] connect.hku.hk or plau [at] unr.edu
Teaching
Math126EE/E Precalculus I Expanded (2021 Fall, 2022 Spring, 2022 Fall, 2023 Spring, 2023 Fall)
Math120E Fundamentals of College Mathematics Expanded (2022 Spring)
Math330 Linear Algebra (Online Course) (2021 Fall, 2022 Spring, 2022 Summer, 2022 Fall, 2023 Spring, 2023 Summer, 2023 Fall)
Math283 Calculus III (2021 Summer, 2022 Summer, 2023 Summer)
2021 Spring - Math176 Introductory Calculus for Business and Social Sciences (2020 Fall, 2021 Spring)
Math330 Linear Algebra (2020 Spring)
Research Interests
Matrix/Operator Inequalities
Publications
Published / Accepted
Pan-Shun Lau, Chi-Kwong Li and Yiu-Tung Poon, The joint numerical range of commuting matrices, Studia Mathematica 267 (2022), 241-259. [Published version/pdf]
Xiaohui Fu, Pan-Shun Lau and Tin-Yau Tam, Inequalities on 2x2 block positive semidefinite matrices, Linear and Multilinear Algebra,70 (2022), 6820-6829. [Published version/pdf]
Xiaohui Fu, Pan-Shun Lau and Tin-Yau Tam, Inequalities on partial traces of positive semidefinite block matrices, Canad. Canad. Math. Bull, 64 (2021), 964–969. [Published version/pdf]
Xiaohui Fu, Pan-Shun Lau and Tin-Yau Tam, Linear maps of positive partial transpose matrices and singular value inequalities , Mathematical Inequalities and Applications 23 (2020), 1459-1468 .[Published version/pdf].
Xiaohui Fu, Pan-Shun Lau and Tin-Yau Tam, Norm inequalities for sector block matrices, Linear Algebra Appl. 605 (2020), 249-262. [Published version/pdf].
Pan-Shun Lau, Chi-Kwong Li, Yiu-Tung Poon, and Nung-Sing Sze, Joint matricial range and joint congruence matricial range of operators, Advances in Operator Thoery, 2020. [Published version/pdf]
Pan-Shun Lau and Tin-Yau Tam, Weak log-majorization of unital trace-preserving completely positive maps, Electronic J. Linear Algebra 35 (2019), 524-532. [Published version]
Pan-Shun Lau, Chi-Kwong Li, Yiu-Tung Poon, and Nung-Sing Sze, The generalized numerical range of a set of matrices, Linear Algebra Appl. 563 (2019), 42-46. [Published version/arXiv]
Pan-Shun Lau, Pre-order between diagonal elements and singular values of real matrices, Linear and Multilinear Algebra, 67 (2019), 1856-1866. [Published version/pdf]
Pan-Shun Lau, Chi-Kwong Li, Yiu-Tung Poon, and Nung-Sing Sze, Convexity and star-shapedness of matricial range, Journal of Functional Analysis 275 (2018), 2497-2515. [Published version/arXiv]
Pan-Shun Lau, Linear images of joint unitary orbits of Hermitian matrices, Linear Algebra Appl. 542 (2018) 35-53. [Published version/pdf]
Pan-Shun Lau, Tuen-Wai Ng, and Nam-Kiu Tsing, Convexity and star-shapedness of real linear images of special orthogonal orbits, Linear Algebra Appl. 507 (2016) 51-67.[Published version/arXiv]
Pan-Shun Lau, Tuen-Wai Ng, and Nam-Kiu Tsing, The star-shapedness of a generalized numerical range, Linear Algebra Appl. 506 (2016) 308-315. [Published version/arXiv]
Submitted
Thesis
Some geometrical aspects of linear images of matrix orbits, Ph.D. Thesis, The University of Hong Kong, 2016.
Orangization of Meetings:
ILAS Special Session on Generalized Numerical Ranges and Related Topics, Joint Mathematics Meetings 2024, January 3-6, San Francisco.
ILAS Special Session on Matrices and Operators, Joint Mathematics Meetings 2023, January 4-7, Boston.
Minisymposia on Matrix Equations, Matrix Inequalities, and Applications, 2021 SIAM Conference on Applied Linear Algebra, May 17 - 21, 2021, Virtual Conference.
The 8th International Conference on Matrix Analysis and Applications (ICMAA 2019), July 15-18, 2019, University of Nevada, Reno, Nevada, USA
Updated in June 2023