Research Areas

Algebraic geometry, in particular, projective varieties, vector bundles, Castelnuovo-Mumford regularity and syzygies.

Education

2011 – 2015 B.S. in Mathematics, Nanjing University

2015 – 2018 M.S. in Mathematics, Peking University

2018 – 2022 Ph.D. in Mathematics, University of Illinois at Chicago

Publications

1. S. Shang, Stability of special generalized null correlation bundles on P5, preprint.

2. S. Shang, A remark on the Castelnuovo-Mumford regularity of powers of ideal sheaves, Journal of Pure and Applied Algebra 226 (2022) 107143.

3. S. Shang, Severi varieties, smooth quadrics and spinor bundles, preprint.

4. J. Hu, S. Shang, J. Xiao, Hard Lefschetz theorems for free line bundles, preprint.

Others

Teaching Experience

Univerisity of Illinois at Chicago (Teaching Assistant)

Calculus III (MATH 210) Fall 2021

Calculus I (MATH 180) Spring 2020

Linear Algebra for Business (MATH 125) Fall 2019

Calculus II (MATH 181) Spring 2019, Summer 2019, Spring 2021

Intermediate Algebra (MATH 090) Fall 2018

Peking University (Teaching Assistant)

Functional Analysis II Spring 2018

Calculus I Fall 2017