Calculated based on number of publications stored in Pure and citations from Scopus
20162022

Research activity per year

Personal profile

Personal profile

Shi Pengshuai Job Title: Assistant Professor E-mail: shipengshuai@bit.edu.cn
His main research areas are analysis and differential geometry on manifolds. He chaired the National Natural Science Foundation of China. His research results were published in Comm. Partial Differential Equations, Indiana Univ. Math. J., J. Geom. Anal. And other periodicals.
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Research Interests

Global analysis on manifolds, especially the Atiyah-Singer index theorem and its applications.

Education

2007-2011 Bachelor of Science (Mathematics and Applied Mathematics), Department of Mathematics, Zhejiang University 2011-2013 Master of Science (Basic Mathematics), Department of Mathematics, Zhejiang University, Supervisor: Professor Sheng Weimin
2013-2018 Doctor of Science (Basic Mathematics), Department of Mathematics, Northeastern University, USA, Supervisor: Professor Maxim Braverman

Professional Experience

2018-2020 Postdoctoral Fellow, Beijing Center for International Mathematics Research, Peking University, Co-supervisor: Professor Tian Gang
2020-present School of Mathematics and Statistics, Beijing Institute of Technology

Research Achievement

[7] P. Shi: The relative eta invariant for a pair of Dirac-type operators on non-compact manifolds. Indiana Univ. Math. J., to appear.
[6] M. Braverman, P. Shi: An APS index theorem for even-dimensional manifolds with non-compact boundary. Comm. Anal. Geom. 29 (2021), no. 2, 293–327.
[5] M. Braverman, P. Shi: The Atiyah–Patodi–Singer index on manifolds with non-compact boundary. J. Geom. Anal. 31 (2021), no. 4, 3713–3763.
[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.
[3] P. Shi: Cauchy data spaces and Atiyah-Patodi-Singer index on non-compact manifolds. J. Geom. Phys. 133 (2018), 81–90.
[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.
[1] M. Braverman, P. Shi: Cobordism invariance of the index of Callias-type operators. Comm. Partial Differential Equations 41 (2016), no. 8, 1183–1203.

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