Sudan Xing

Postdoctoral Fellow, Faculty of Science - Mathematics & Statistical Sciences

Contact

Postdoctoral Fellow, Faculty of Science - Mathematics & Statistical Sciences
Email
sxing@ualberta.ca

Overview

Area of Study / Keywords

Convex geometry; Geometric functional analysis

Scholarly Activities

Research - Conference poster presentation---" Minkowski problem for convex bodies"

Started: 10/24/2019

2019 Summer Students’ Research Program---52nd Annual Summer Students’ Research Day


Research - Conference poster presentation---" The dual Orlicz-Minkowski problem"

Started: 08/18/2017

Connections for Women: Geometry and Probability in High Dimensions, MSRI, Berkeley, California, USA

MSRI

Research - Conference poster presentation---"General dual Orlicz Minkowski problems"

Started: 12/09/2019

Workshop in Convexity and Geometric Aspects of Harmonic Analysis, Georgia Institute of Technology, Atlanta, GA, USA

Convexity and Geometric Aspects of Harmonic Analysis

Research - Conference poster presentation---"General dual-polar Orlicz-Minkowski problem"

Started: 06/08/2019

2019 Canadian Mathematical Society Summer Meeting, Regina, Saskatchewan, Canada

2019 Canadian Mathematical Society Summer Meeting

Research - Conference poster presentation---"The dual Orlicz-Minkowski problem"

Started: 06/02/2018

2018 Canadian Mathematical Society Summer Meeting, Fredericton, New Brunswick, Canada

2018 Canadian Mathematical Society Summer Meeting

Research - Invited talk---"Dual curvature measures and the Orlicz-Minkowski problem"

Started: 02/12/2020

Workshop ``Geometric Tomography" at Banff International Research Station, Banff, Alberta, Canada

Geometric Tomography

Research - Invited talk---"Dual Minkowski problems for convex bodies"

Started: 11/06/2019

Measure Theory Seminar at Department of Mathematical Sciences, Kent State University, Kent, Ohio, USA

Measure Theory Seminar

Research - Invited talk---"General Volumes in the Orlicz-Brunn-Minkowski Theory and Related Minkowski Problems"

Started: 2/11/2019

Special session``Probabilistic and Geometric Tools in High-Dimension", 2019 AMS Fall Southeastern Sectional Meeting, Gainesville, Florida, USA

2019 AMS Fall Southeastern Sectional Meeting

Research - Invited talk---"The dual Orlicz-Minkowski problem"

Started: 05/16/2018

Conference "Recent Advances in Convex Geometry and Geometric Functional Analysis", Tsinghua Sanya International Mathematic Forum, Sanya, Hainan, China

Tsinghua Sanya International Mathematic Forum

Research - Invited talk---"The general dual Orlicz-Minkowski problem"

Started: 05/02/2018

"International Workshop on Differential and Convex Geometry", Hubei University for Nationalities, Enshi, Hubei, China

International Workshop on Differential and Convex Geometry

Research - Invited talk---"The general dual Orlicz-Minkowski problem"

Started: 06/03/2018

Special session``Geometric Potential Theory", 2018 Canadian Mathematical Society Summer Meeting, Fredericton, New Brunswick, Canada

2018 Canadian Mathematical Society Summer Meeting

Research - Invited talk---"The general dual-polar Orlicz-Minkowski problem"

Started: 06/09/2019

Special session ``Probabilistic Methods in Geometric Functional Analysis and Convexity", 2019 Canadian Mathematical Society Summer Meeting, Regina, Saskatchewan, Canada

2019 Canadian Mathematical Society Summer Meeting

Teaching - Math 1000 Calculus I, Memorial University of Newfoundland, Canada

09/2018 to 12/2018

 Calculus I is an introduction to differential calculus, including algebraic, trigonometric, exponential, logarithmic, inverse trigonometric and hyperbolic functions. Applications include kinematics, related rates problems, curve sketching and optimization. 


Teaching - Math 102, Applied Linear Algebra, University of Alberta, Canada

01/2020 to 04/2020

Vectors and matrices, solution of linear equations, equations of lines and planes, determinants, matrix algebra, orthogonality and applications (Gram-Schmidt), eigenvalues and eigenvectors and applications, complex numbers.


Teaching - Math 1090, Algebra and Trigonometry, Memorial University of Newfoundland, Canada

01/2019 to 04/2019

 Algebra and Trigonometry provides students with the essential prerequisite elements for the study of an introductory course in calculus. Topics include algebra, functions and their graphs, exponential and logarithmic functions, trigonometry, polynomials, and rational functions.


Teaching - Math 2000, Calculus III, Memorial University of Newfoundland, Canada

05/2019 to 08/2019

 Calculus III is a study of the differential calculus of functions of two variables, an introduction to convergence of infinite sequences and series.


Research - Seminar talk---"Dual curvature measures and related Minkowski problems"

Started: 10/11/2019

Functional Analysis Seminar at University of Alberta, Canada 


Research - Seminar talk---"The dual Orlicz-Minkowski Problem"

Started: 09/21/2017

Graduate Seminar, Memorial University of Newfoundland, St. John's, Newfoundland, Canada

Seminars & Colloquia

Research - Seminar talk---"The general dual Orlicz-Minkowski problem for increasing functions"

Started: 09/27/2018

Graduate Seminar, Memorial University of Newfoundland, St. John's, Newfoundland, Canada

Seminars & Colloquia

Research - Seminar talk---"The general dual Orlicz-Minkowski problem"

Started: 03/29/2018

Graduate Seminar, Memorial University of Newfoundland, St. John's, Newfoundland, Canada

Seminars & Colloquia

Research - Seminar talk---"The polar dual Orlicz-Minkowski problem"

Started: 01/17/2019

Graduate Seminar, Memorial University of Newfoundland, St. John's, Newfoundland, Canada

Seminars & Colloquia

Publications

On the framework of Lp summations for functions

Author(s): Michae Roysdon, Sudan Xing
Publication Date: 8/16/2021
Publication: arXiv:2108.06929
External Link: https://arxiv.org/abs/2108.06929

Geometry of log-concave functions: the Lp Asplund sum and the Lp Minkowski problem

Author(s): Niufa Fang, Sudan Xing and Deping Ye
Publication Date: 6/30/2020
External Link: https://arxiv.org/pdf/2006.16959.pdf

On Lp-Brunn-Minkowski type and Lp-isoperimetric type inequalities for measures, underview.

Author(s): M. Roysdon and S. Xing
Publication Date: 4/21/2020
Publication: Transactions of the American Mathematical Society
Volume: 374
Issue: 2021
Page Numbers: 5003-5036
External Link: https://scholar.google.com/citations?view_op=view_citation&hl=en&user=wdxajUYAAAAJ&sortby=pubdate&citation_for_view=wdxajUYAAAAJ:W7OEmFMy1HYC

On the general dual Orlicz-Minkowski problem

Author(s): Sudan Xing and Deping Ye
Publication Date: 2/2/2020
Publication: Indiana University Mathematics Journal
Volume: 69
Issue: 2020
Page Numbers: 621–655
External Link: http://www.iumj.indiana.edu.login.ezproxy.library.ualberta.ca/IUMJ/fulltext.php?artid=7844&year=2020&volume=69

General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem II

Author(s): Richard Gardner, Daniel Hug, Sudan Xing and Deping Ye
Publication Date: 12/2/2019
Publication: Calculus of Variations and Partial Differential Equations
Volume: 59
Issue: 2020
Page Numbers: 1-33
External Link: https://link.springer.com/article/10.1007/s00526-019-1657-2

The general dual-polar Orlicz-Minkowski problem, underview

Author(s): S. Xing, D. Ye and B. Zhu
Publication Date: 10/5/2019
External Link: https://arxiv.org/pdf/1910.02178.pdf

General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem I

Author(s): Richard Gardner, Daniel Hug, Wolfgang Weil, Sudan Xing and Deping Ye
Publication Date: 12/3/2018
Publication: Calculus of Variations and Partial Differential Equations
Volume: 58
Issue: 2019
Page Numbers: 1-35
External Link: https://link.springer.com/article/10.1007/s00526-018-1449-0

The mixed Lp affine surface areas for functions

Author(s): Baocheng Zhu and Sudan Xing
Publication Date: 3/22/2018
Publication: Quaestiones Mathematicae
Volume: 42
Issue: 2019
Page Numbers: 257-276
External Link: https://www.tandfonline.com/doi/abs/10.2989/16073606.2018.1444678

The dual Orlicz-Minkowski problem

Author(s): Baocheng Zhu, Sudan Xing and Deping Ye
Publication Date: 2/27/2018
Publication: Journal of Geometric Analysis
Volume: 28
Issue: 2018
Page Numbers: 3829-3855
External Link: https://link.springer.com/article/10.1007/s12220-018-0002-x

Inequalities of Orlicz-Aleksandrov body

Author(s): Sudan Xing
Publication Date: 1/2/2017
Publication: Communication on Applied Mathematics and Computation
Volume: 1
Issue: 2017
Page Numbers: 1-10
External Link: http://en.cnki.com.cn/Article_en/CJFDTotal-YONG201701010.htm