Dr. Pisheng Ding
Instructional Assistant Professor
Mathematics
Office
Stevenson Hall - STV 301G
Office Hours
MWF 1:45-2:30pm, or by appointment
Office Phone
Email
- About
- Education
- Research
Current Courses
147.003Calculus III
175.002Elementary Linear Algebra
147.002Calculus III
175.002Elementary Linear Algebra
Research Interests & Areas
classical complex analysis, differential geometry, classical analysis, potential theory, topology of manifolds, theoretical physics
Ph D Mathematics
Courant Institute of Mathematical Sciences, New York University
New York , New York
MA Mathematics
City College of New York, CUNY
New York , New York
BA Mathematics
City College of New York, CUNY
New York , New York
Journal Article
Selecta of Publications
Topological Obstructions to Certain Lie Group Actions on Manifolds
Transactions of the American Mathematical Society
https://www.ams.org/journals/tran/2006-358-09/S0002-9947-05-03788-8/
Analytic Continuation of Generalized Trigonometric Functions
Proceedings of American Mathematical Society, Series B
https://www.ams.org/journals/bproc/2022-09-05/S2330-1511-2022-00119-6/?active=current
Real-Analyticity of Generalized Sine Functions with Two Parameters
Journal of Analysis
https://link.springer.com/article/10.1007/s41478-022-00493-z
The Family of Level Sets of a Harmonic Function
Journal of Analysis
https://link.springer.com/article/10.1007/s41478-019-00218-9
On the Lengths of Level Curves
American Mathematical Monthly
https://www.tandfonline.com/doi/abs/10.1080/00029890.2018.1517568?journalCode=uamm20
Shape Distortion by Analytic Functions
American Mathematical Monthly
https://www.tandfonline.com/doi/abs/10.1080/00029890.2009.11920921
Extremal Points, Critical Points, and Saddle Points of Analytic Functions
American Mathematical Monthly
https://www.tandfonline.com/doi/abs/10.1080/00029890.2007.11920444
Boundary Preservation by Analytic Maps between Bordered Riemann Surfaces
Rocky Mountain Journal of Mathematics
https://www.jstor.org/stable/44239990
Generalized Sine Functions, Complexified
Mathematics Magazine
https://www.tandfonline.com/doi/full/10.1080/0025570X.2023.2266329
A Natural Geometric Proof of the Length-Curvature Identity
(to appear in) Mathematics Magazine
Less Mundane Applications of the Most Mundane Functions
College Mathematics Journal
https://www.tandfonline.com/doi/full/10.1080/07468342.2022.2040266
Certain Metric Properties of Level Hypersurfaces
JP Journal of Geometry and Topology
http://dx.doi.org/10.17654/GT021010075
A Fundamental Theorem of Calculus for Second-order Directional Derivative
Pi Mu Epsilon Journal
https://arxiv.org/abs/2107.11038
Topological Obstructions to Certain Lie Group Actions on Manifolds
Transactions of the American Mathematical Society
https://www.ams.org/journals/tran/2006-358-09/S0002-9947-05-03788-8/
Analytic Continuation of Generalized Trigonometric Functions
Proceedings of American Mathematical Society, Series B
https://www.ams.org/journals/bproc/2022-09-05/S2330-1511-2022-00119-6/?active=current
Real-Analyticity of Generalized Sine Functions with Two Parameters
Journal of Analysis
https://link.springer.com/article/10.1007/s41478-022-00493-z
The Family of Level Sets of a Harmonic Function
Journal of Analysis
https://link.springer.com/article/10.1007/s41478-019-00218-9
On the Lengths of Level Curves
American Mathematical Monthly
https://www.tandfonline.com/doi/abs/10.1080/00029890.2018.1517568?journalCode=uamm20
Shape Distortion by Analytic Functions
American Mathematical Monthly
https://www.tandfonline.com/doi/abs/10.1080/00029890.2009.11920921
Extremal Points, Critical Points, and Saddle Points of Analytic Functions
American Mathematical Monthly
https://www.tandfonline.com/doi/abs/10.1080/00029890.2007.11920444
Boundary Preservation by Analytic Maps between Bordered Riemann Surfaces
Rocky Mountain Journal of Mathematics
https://www.jstor.org/stable/44239990
Generalized Sine Functions, Complexified
Mathematics Magazine
https://www.tandfonline.com/doi/full/10.1080/0025570X.2023.2266329
A Natural Geometric Proof of the Length-Curvature Identity
(to appear in) Mathematics Magazine
Less Mundane Applications of the Most Mundane Functions
College Mathematics Journal
https://www.tandfonline.com/doi/full/10.1080/07468342.2022.2040266
Certain Metric Properties of Level Hypersurfaces
JP Journal of Geometry and Topology
http://dx.doi.org/10.17654/GT021010075
A Fundamental Theorem of Calculus for Second-order Directional Derivative
Pi Mu Epsilon Journal
https://arxiv.org/abs/2107.11038