Sudan Xing

Research Interests: 

•  Convex Geometry, Functional Analysis, Probability Theory, Information Theory

Publications:

1. On the s-Gaussian measure in $R^n$, (With Youjiang Lin), Advances in Applied Mathematics, 160 (2024), 102744.

2. On Multiple  Lp-Curvilinear-Brunn–Minkowski Inequalities, (With Michael Roysdon), Journal of Geometric Analysis, 7 (2024), 1-34.

3. On the Gaussian Projection Inequalities, (With Youjiang Lin), International Mathematics Research Notices, 6 (2024), 5166-5211.

4. On the framework of Lp summations for functions, (With Michael Roysdon), Journal of Functional Analysis, 12 (2023), 110150.

5. Geometry of log-concave functions: the  Asplund sum and the  Minkowski problem, (With Niufa Fang and Deping Ye ), Calculus of Variations and Partial Differential Equations, 2 (2022), 1-45.

6. The general dual-polar Orlicz–Minkowski problem, (With Baocheng Zhu and Deping Ye), Journal of Geometric Analysis, 32 (2022), 1-40.

7. On Lp-Brunn-Minkowski type and Lp-isoperimetric type inequalities for measures, (With Michael Roysdon), Transactions of the American Mathematical Society, 7 (2021), 5003-5036.  

8. On the Musielak-Orlicz-Gauss image problem, (With Qingzhong Huang, Deping Ye and Baocheng Zhu), Indiana Univ. Math. J., 73 (2024), 537–580.

9. General volumes in the Orlicz–Brunn–Minkowski theory and a related Minkowski problem II, (With Richard Gardner, Daniel Hug and Deping Ye), Calculus of Variations and Partial Differential Equations, 1 (2020), 1-34.

10. On the general dual Orlicz-Minkowski problem, (With Deping Ye), Indiana University Mathematics Journal, 69 (2020), 621-655.

11. General volumes in the Orlicz–Brunn–Minkowski theory and a related Minkowski problem I, (With Richard Gardner, Daniel Hug, Wolfgang Weil and Deping Ye), Calculus of Variations and Partial Differential Equations, 58 (2019), 1-35.

12. The dual Orlicz–Minkowski problem, (With Baocheng Zhu and Deping Ye), Journal of Geometric Analysis, 28 (2018), 3829-3855.

13. New fiber and graph combinations of convex bodies, (With Steven Hoehner), Mathematika, 71 (2025), 1-39.92 

14. The $m$th-order Orlicz Projection Bodies for Lipschitz Star Bodies, (With Youjiang Lin), submitted.

15. Fixed Point Rigidity of the Operator $\Gamma_p\Pi_p^\ast$ and the LYZ Conjecture, (With Youjiang Lin), submitted.

Teaching:

1. 2026 Summer: University of Arkansas at Little Rock 

Math 31263, Linear Algebra

     Math 25004, Calculus II

2. 2026 Spring: University of Arkansas at Little Rock 

Math 45203/55213, Advanced Calculus II

Math 30263, Intro to Mathematical Proof

Math 24004, Calculus I

3. 2025 Fall, University of Arkancsas at Little Rock 

Math 25004, Calculus II

Math 45103, Advanced Calculus I

Math 44403, Complex Functions

4. 2025 Summer: University of Arkansas at Little Rock 

Math 1452, Calculus II

5. 2025 Spring: University of Arkansas at Little Rock

Math 3312, Linear Algebra

Math 4304/5304, Advanced Calculus II

6. 2024 Fall: University of Arkansas at Little Rock

      Math 1452, Calculus II

      Math 4302/5302, Complex Functions

      Math 4303/5303, Advanced Calculus I

      Math 4399/5399/7399, Convex Geometry

7. 2024 Spring: University of Arkansas at Little Rock

Math 1452, Calculus II

Math 3310, Algebraic Structures I

Math 4310, Algebraic Structures II

Math 5304, Advanced Calculus II

8. 2023 Fall: University of Arkansas at Little Rock

Math 1303, Trigonometry

Math 4302/5302, Complex functions

Math 4303/5303,  Advanced Calculus I

9. 2023 Spring: Syracuse University

Math 295,  Calculus I

10. 2021 Fall, University of Alberta

Math 100, Calculus I

11. 2020 Fall, University of Alberta

Math 134, Calculus for the Life Sciences I

12. 2020 Spring, University of Alberta

Math 102, Applied Linear Algebra

13. 2019 Summer, Memorial University of Newfoundland

Math 2000, Calculus III, Memorial University of Newfoundland

14.  2019 Spring, Memorial University of Newfoundland

Math 1090, Algebra and Trigonometry

15. 2018 Fall, Memorial University of Newfoundland

Math 1000, Calculus I

Websites:

GoogleScholar, Arxiv, Mathscinet, Researchgate, Linkedin, etc

CV:  CV_Sudan_Xing.pdf