特别副研究员

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史鹏帅

个人简介


Personal Information

 

Name:  Pengshuai Shi (史鹏帅)

Email:  shipengshuai@qq.com   pengshuai.shi@gmail.com  

Institute:  School of Mathematics and Statistics, BIT, 100081, P.R. China

Address: No.5 Zhongguancun South Street, Haidian District, Beijing, P.R. China


Educational Background

► 09/2013--05/2018, PhD in Mathematics, Northeastern University, USA. Supervisor: Prof. Maxim Braverman. Major: Analysis on Manifolds.

► 09/2011--06/2013, Master in Mathematics, Zhejiang University. Supervisor: Prof. Weimin Sheng.

► 09/2007--06/2011, Bachelor in Mathematics, Zhejiang University, China.


Working Experience

► 08/2020--Present, Assistant Professor, School of Mathematics and Statistics, Beijing Institute of Technology.

► 09/2018--08/2020, Postdoctor in Mathematics, Peking University. Supervisor: Prof. Gang Tian.


Teachings

► Spring 2019, 高等数学(B)(2), Peking University.

► Fall 2017, Summer 2017, Calculus for Business and Economics, Northeastern University.

► Fall 2016, Calculus and Differential Equations for Biology 1, Northeastern University.

► Fall 2015, Applied Calculus, Northeastern University.


Publications

[1] M. Braverman, P. Shi: Cobordism invariance of the index of Callias-type operators. Comm. Partial Differential Equations 41 (2016), no. 8, 1183–1203.

[2] P. Shi: The index of Callias-type operators with Atiyah-Patodi-Singer boundary conditions. Ann. Global Anal. Geom. 52 (2017), no. 4, 465–482.

[3] P. Shi: Cauchy data spaces and Atiyah-Patodi-Singer index on non-compact manifolds. J. Geom. Phys. 133 (2018), 81–90.

[4] M. Braverman, P. Shi: The index of a local boundary value problem for strongly Callias-type operators. Arnold Math. J. 5 (2019), no. 1, 79–96.

[5] M. Braverman, P. Shi: An APS index theorem for even-dimensional manifolds with non-compact boundary. Accepted by Comm. Anal. Geom.

[6] M. Braverman, P. Shi: The Atiyah–Patodi–Singer index on manifolds with non-compact boundary. Accepted by J. Geom. Anal.


Conference Talks and Invited Presentations

► 12/2019, Beijing Postdoctoral Workshop on Pure Mathematics, MCM, CAS.

► 08/2019, 2019 Workshop on Global Analysis on Manifolds, USTC.


Interests

Analysis on Manifolds and Differential Geometry, especially on index theory and its applications.