Research output per year
Research output 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.
More
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.
More
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
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
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.
[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.
Fingerprint
Dive into the research topics where Pengshuai Shi is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Research output
- 7 Article
-
The Relative Eta Invariant for a Pair of Dirac-Type Operators on Non-Compact Manifolds
Shi, P., 2022, In: Indiana University Mathematics Journal. 71, 5, p. 1923-1966 44 p.Research output: Contribution to journal › Article › peer-review
Open Access -
An APS index theorem for even-dimensional manifolds with non-compact boundary
Braverman, M. & Shi, P., 2021, In: Communications in Analysis and Geometry. 29, 2, p. 293-327 35 p.Research output: Contribution to journal › Article › peer-review
Open Access2 Citations (Scopus) -
The Atiyah–Patodi–Singer Index on Manifolds with Non-compact Boundary
Braverman, M. & Shi, P., Apr 2021, In: Journal of Geometric Analysis. 31, 4, p. 3713-3763 51 p.Research output: Contribution to journal › Article › peer-review
4 Citations (Scopus) -
The Index of a Local Boundary Value Problem for Strongly Callias-Type Operators
Braverman, M. & Shi, P., 1 Mar 2019, In: Arnold Mathematical Journal. 5, 1, p. 79-96 18 p.Research output: Contribution to journal › Article › peer-review
5 Citations (Scopus) -
Cauchy data spaces and Atiyah–Patodi–Singer index on non-compact manifolds
Shi, P., Nov 2018, In: Journal of Geometry and Physics. 133, p. 81-90 10 p.Research output: Contribution to journal › Article › peer-review
Open Access4 Citations (Scopus)