Xiaxing Cai
Vienna,9
Overview
5
5
years of professional experience
7
7
years of post-secondary education
Work History
Researcher
Shanghai University
04.2021 - 03.2022
- Established a variation formula for intersection bodies by the extended Radon transform, which is defined for integrable functions
- Established a series of geometric measures which are related to dual curvature measures and cone-volume measure
- Give a sufficient condition for the Minkowski problem for these measures in the case of even data
Research Assistant
Shanghai University
09.2017 - 06.2019
- Autumn semester of 2017-2018: took part in the academic seminar of Prof
- Leng and Prof
- Xi, about the book of Schneider
- Summer semester of 2018: attended the seminar about Measure theory and fine properties of functions with Prof
- Dongmeng Xi and Prof
- Youjiang Lin
- From autumn semester of 2019 to now: took part in the academic seminar weekly and gave some lectures
Participant
Lucy Cavendish College
07.2017 - 08.2017
- Applied Information Theory
- Won the Scholarship of Overseas Study of Outstanding Undergraduates of Shanghai University
Researcher
Shanghai University
06.2021 - 04.2022
- Affine invariant surface area measures in dual Brunn-Minkowski theory and their Minkowski problems
Education
Mathematics Master - College of Science
Shanghai University
09.2019 - 06.2022
Mathematics and Applied Mathematics Bachelor - QianWeiChang College
Shanghai University
09.2015 - 06.2019
Awards And Prizes
- Shanghai University, Shanghai, Shanghai, 09/01/19, 03/01/22, 2020-2021, The Third Scholarship of Shanghai University, 2019, Admission Scholarship of Shanghai University-first prize
- Shanghai University, Shanghai, Shanghai, 09/01/15, 07/01/19, 2017-2018, Academic Scholarship of Shanghai University-outstanding winner, 2017-2018, National Encouragement Scholarship, 2017, Outstanding Overseas Exchange Scholarship-first prize, 2016-2017, Academic Scholarship of Shanghai University-outstanding winner, 2016-2017, Winter Semester Academic Scholarship, 2016-2017, Autumn Semester Academic Scholarship, 2016-2017, National Encouragement Scholarship, 2015-2016, Outstanding Innovation Team Scholarship-second prize, 2015-2016, National Encouragement Scholarship, 2015-2016, Admission Scholarship of Shanghai University
Personal Information
- Date of Birth: 09/01/96
- Gender: female
Publications
Affine invariant surface area measures in dual Brunn-Minkowski theory and their Minkowski problems, submitted, Shanghai, Shanghai, 06/01/21, 04/01/22
Research
- Affine invariant surface area measures in dual Brunn-Minkowski theory, and their Minkowski problems, Shanghai, Shanghai, 04/01/21, 03/01/22, Established a variation formula for intersection bodies by the extended Radon transform, which is defined for integrable functions., Established a series of geometric measures which are related to dual curvature measures and cone-volume measure., Gave a sufficient condition for the Minkowski problem for these measures in the case of even data.
- Series courses of Convex Geometry, Shanghai, Shanghai, 09/01/17, 06/01/19, Autumn semester of 2017-2018: took part in the academic seminar of Prof. Leng and Prof. Xi, about the book of Schneider., Summer semester of 2018: attended the seminar about Measure theory and fine properties of functions with Prof. Dongmeng Xi and Prof. Youjiang Lin., From autumn semester of 2019 to now: took part in the academic seminar weekly and gave some lectures.
- Cambridge Summer Program, Lucy Cavendish College, Cambridge, UK, 07/01/17, 08/01/17, Applied Information Theory, Won the Scholarship of Overseas Study of Outstanding Undergraduates of Shanghai University.
Timeline
Researcher
Shanghai University
06.2021 - 04.2022
Researcher
Shanghai University
04.2021 - 03.2022
Mathematics Master - College of Science
Shanghai University
09.2019 - 06.2022
Research Assistant
Shanghai University
09.2017 - 06.2019
Participant
Lucy Cavendish College
07.2017 - 08.2017
Mathematics and Applied Mathematics Bachelor - QianWeiChang College
Shanghai University
09.2015 - 06.2019