Jishan HU
胡继善
PhD in Applied Mathematics
Princeton University, 1991

Professor
Department of Mathematics



(852) 2358 7434
majhu@ust.hk
Room 3447
Personal Web

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ORCID
0000-0002-7987-8312

Scopus ID
7406419933




Research Interest Publications Teaching Assignment RPG Supervision Space used




Research Interest

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Applied analysis
Integrable systems



Publications

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All Years 34 2022 0 2021 0 2020 0 2019 1 2018 0 2017 1 2016 32

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2019 1

Calculus for Scientists and Engineers
Calculus for Scientists and Engineers / Hu, Jishan, Li, Weiping, Wu, Yueping. Hong Kong: The Hong Kong University of Science & Technology, 2019.
Hu, Jishan; Li, Weiping; Wu, Yueping Book

2017 1

Integrability Conditions on A Sub-Riemannian Structure on S3
Analysis and Mathematical Physics, v. 7, (1), March 2017, p. 9-18
Calin, Ovidiu L.; Chang, Derchen; Hu, Ji Shan Article

2015 1

Integrability conditions on Engel-type manifolds
Analysis and Mathematical Physics, v. 5, (3), September 2015, p. 217-231
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan Article

2014 1

Poincare's lemma on the Heisenberg group
Advances in Applied Mathematics, v. 60, September 2014, p. 90-102
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan Article

2012 1

Heat kernels for a class of degenerate elliptic operators using stochastic method
Complex variables and elliptic equations, v. 57, (2-4), 2012, p. 155-168
Calin, O.; Chang, D.C.; Hu, J.; LI, Y. Article

2011 2

ON HEAT KERNELS OF A CLASS OF DEGENERATE ELLIPTIC OPERATORS
Journal of nonlinear and convex analysis, v. 12, (2), 2011, p. 309-340
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan; Li, Yutian Article
Stochastic Regression in Terms of Brownian Motion
Applicable analysis, v. 90, (6), 2011, p. 899-919
Calin, Ovidiu; Chang, Der-Chen; Hu, Ji-Shan Article

2010 1

Calculus: Rigor, Concision, Clarity
Calculus: Rigor, Concision, Clarity / Jishan Hu, Jian-Shu Li, Wei-Ping Li, Min Yan. Hong Kong: Hong Kong Mathematical Society, 2010
Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min Book

2009 1

Geometric mechanics on product Heisenberg groups
Applicable analysis, v. 88, (2), 2009, p. 243-283
Chang, Der-Chen; Chang, Ting-Hui; Hu, Jishan Article

2008 2

Regularized random-sampling high dimensional model representation (RS-HDMR)
Journal of mathematical chemistry, v. 43, (3), 2008, MAR, p. 1207-1232
Li, Genyuan; Rabitz, Herschel; Hu, Jishan; Chen, Zheng; Ju, Yiguang Article
Study of a micro absorption heat pump system
INTERNATIONAL journal OF refrigeration-revue internationale DU froid, v. 31, (7), 2008, NOV, p. 1198-1206
Hu, J.S.; Chao, Christopher Y.H. Article

2006 1

Random sampling-high dimensional model representation (RS-HDMR) and orthogonality of its different order component functions
JOURNAL OF PHYSICAL CHEMISTRY A, v. 110, (7), 2006, FEB 23, p. 2474-2485
Li, GY; Hu, JS; Wang, SW; Georgopoulos, PG; Schoendorf, J.; Rabitz, H. Article

2003 1

An elementary and direct proof of the Painleve property for the Painleve equations I, II and IV
Journal d Analyse Mathematique, v. 91, 2003, p. 105-121
Hu, JS; Yan, M. Article

2002 1

A Link between two Fundamental Contributions of Kowalevski
The Kowalevski Property, CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI
Hu, Jishan; Yan, Min Conference paper

2001 2

Mirror transformations of Hamiltonian systems
PHYSICA D, v. 152, 2001, MAY 15, p. 110-123
Hu, JS; Yan, M.; Yee, TL Article
Symplectic Structure of the Painlevé Test
Journal of Nonlinear Mathematical Physics, v. 8, (Suppl. 1), February 2001, p. 145-148
Hu, Jishan; Yan, Min Article

2000 2

The mirror systems of integrable equations
Studies in applied mathematics, v. 104, (1), 2000, JAN, p. 67-90
Hu, JS; Yan, M. Article
Local analyticity of solutions in the Painleve test
PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, 2000, p. 146-152
Hu, JS; Yan, M. Conference paper

1999 2

Nonlinear Hamiltonian systems and exponential asymptotics for the adiabatic invariants
Dynamics OF continuous DISCRETE and IMPULSIVE SYSTEMS, v. 5, (1-4), 1999, MAR, p. 261-270
Hu, JS Article
Singularity analysis for integrable systems by their mirrors
Nonlinearity, v. 12, (6), 1999, NOV, p. 1531-1543
Hu, JS; Yan, M. Article

1998 4

Computation of the adiabatic invariant of the symmetric nonlinear oscillator dt(2)/d(y)+Q(epsilon t)y(n) = R(epsilon t)y(m)
European journal of applied mathematics, v. 9, (Part 2), 1998, APR, p. 187-194
Hu, J. Article
Linkage between adiabatic invariance and symmetry of solutions
Studies in applied mathematics, v. 101, (2), 1998, AUG, p. 99-126
Hu, JS Article
Nonuniformity of adiabatic invariance for nonlinear oscillators
SIAM journal on applied mathematics, v. 59, (3), 1998, DEC 15, p. 777-786
Hu, JS Article
Projection dynamics in Godunov-type schemes
Journal of computational physics, v. 142, (2), 1998, MAY 20, p. 412-427
Xu, Kun; Hu, Jishan Article

1996 1

Asymptotics beyond all orders for a certain type of nonlinear oscillators
Studies in applied mathematics, v. 96, (1), 1996, JAN, p. 85-109
Hu, JS Article

1995 1

Analysis of the radiation loss: Asymptotics beyond all orders
OPERATOR THEORY AND BOUNDARY EIGENVALUE PROBLEMS, v. 80, 1995, p. 168-175
Hu, JS; Cheng, WC Conference paper

1994 1

Two new adiabatically equivalent quantities for the linear harmonic oscillator
Physics Letters A, v. 189, (3), p. 171-175
Hu, Jishan; Mao, Jian-Min Article

1992 4

Numerical computation of transcendentally small reflection
Phys. Lett. A, v. 167, 1992, p. 191-197
Hu, J. Article
Reflection coeffcient beyond all orders for singular problems III
J. Math. Phys., v. 33, (1), 1992, p. 37-43
Hu, J. Article
Reflection Coefficient Problems for Weakly Nonlinear Wave Equations
SIAM Journal on Applied Mathematics, v. 52, (6), Dec 1992, p. 1584-1596
Hu, Ji Shan; Kruskal, Martin D. Article
Transcendentally small reflection for singular weakly nonlinear problems
SIAM J. App. Math., v. 52, (6), 1992, p. 1584-1596
Hu, J.; Kruskal, M. Article

1991 3

Reflection coeffcient beyond all orders for singular problems I
J. Math. Phys., v. 32, (9), 1991, p. 2400-2405
Hu, J.; Kruskal, M. Article
Reflection coeffcient beyond all orders for singular problems II
J. Math. Phys., v. 32, (10), 1991, p. 2676-2678
Hu, J.; Kruskal, M. Article
Transcendentally small reflection of waves for problems with/ without turning points near infinity: a new uniform approach
J. Math. Phys., v. 32, (12), 1991, p. 3278-3284
Gingold, H.; Hu, J. Article


Expand All Collapse All


Book 1

Calculus for Scientists and Engineers
Calculus for Scientists and Engineers / Hu, Jishan, Li, Weiping, Wu, Yueping. Hong Kong: The Hong Kong University of Science & Technology, 2019.
Hu, Jishan; Li, Weiping; Wu, Yueping


Expand All Collapse All


Article 1

Integrability Conditions on A Sub-Riemannian Structure on S3
Analysis and Mathematical Physics, v. 7, (1), March 2017, p. 9-18
Calin, Ovidiu L.; Chang, Derchen; Hu, Ji Shan


Expand All Collapse All


Article 1

Integrability conditions on Engel-type manifolds
Analysis and Mathematical Physics, v. 5, (3), September 2015, p. 217-231
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan


Expand All Collapse All


Article 1

Poincare's lemma on the Heisenberg group
Advances in Applied Mathematics, v. 60, September 2014, p. 90-102
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan


Expand All Collapse All


Article 1

Heat kernels for a class of degenerate elliptic operators using stochastic method
Complex variables and elliptic equations, v. 57, (2-4), 2012, p. 155-168
Calin, O.; Chang, D.C.; Hu, J.; LI, Y.


Expand All Collapse All


Article 2

ON HEAT KERNELS OF A CLASS OF DEGENERATE ELLIPTIC OPERATORS
Journal of nonlinear and convex analysis, v. 12, (2), 2011, p. 309-340
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan; Li, Yutian
Stochastic Regression in Terms of Brownian Motion
Applicable analysis, v. 90, (6), 2011, p. 899-919
Calin, Ovidiu; Chang, Der-Chen; Hu, Ji-Shan


Expand All Collapse All


Book 1

Calculus: Rigor, Concision, Clarity
Calculus: Rigor, Concision, Clarity / Jishan Hu, Jian-Shu Li, Wei-Ping Li, Min Yan. Hong Kong: Hong Kong Mathematical Society, 2010
Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min


Expand All Collapse All


Article 1

Geometric mechanics on product Heisenberg groups
Applicable analysis, v. 88, (2), 2009, p. 243-283
Chang, Der-Chen; Chang, Ting-Hui; Hu, Jishan


Expand All Collapse All


Article 2

Regularized random-sampling high dimensional model representation (RS-HDMR)
Journal of mathematical chemistry, v. 43, (3), 2008, MAR, p. 1207-1232
Li, Genyuan; Rabitz, Herschel; Hu, Jishan; Chen, Zheng; Ju, Yiguang
Study of a micro absorption heat pump system
INTERNATIONAL journal OF refrigeration-revue internationale DU froid, v. 31, (7), 2008, NOV, p. 1198-1206
Hu, J.S.; Chao, Christopher Y.H.


Expand All Collapse All


Article 1

Random sampling-high dimensional model representation (RS-HDMR) and orthogonality of its different order component functions
JOURNAL OF PHYSICAL CHEMISTRY A, v. 110, (7), 2006, FEB 23, p. 2474-2485
Li, GY; Hu, JS; Wang, SW; Georgopoulos, PG; Schoendorf, J.; Rabitz, H.


Expand All Collapse All


Article 1

An elementary and direct proof of the Painleve property for the Painleve equations I, II and IV
Journal d Analyse Mathematique, v. 91, 2003, p. 105-121
Hu, JS; Yan, M.


Expand All Collapse All


Conference paper 1

A Link between two Fundamental Contributions of Kowalevski
The Kowalevski Property, CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI
Hu, Jishan; Yan, Min


Expand All Collapse All


Article 2

Mirror transformations of Hamiltonian systems
PHYSICA D, v. 152, 2001, MAY 15, p. 110-123
Hu, JS; Yan, M.; Yee, TL
Symplectic Structure of the Painlevé Test
Journal of Nonlinear Mathematical Physics, v. 8, (Suppl. 1), February 2001, p. 145-148
Hu, Jishan; Yan, Min


Expand All Collapse All


Article 1

The mirror systems of integrable equations
Studies in applied mathematics, v. 104, (1), 2000, JAN, p. 67-90
Hu, JS; Yan, M.

Conference paper 1

Local analyticity of solutions in the Painleve test
PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, 2000, p. 146-152
Hu, JS; Yan, M.


Expand All Collapse All


Article 2

Nonlinear Hamiltonian systems and exponential asymptotics for the adiabatic invariants
Dynamics OF continuous DISCRETE and IMPULSIVE SYSTEMS, v. 5, (1-4), 1999, MAR, p. 261-270
Hu, JS
Singularity analysis for integrable systems by their mirrors
Nonlinearity, v. 12, (6), 1999, NOV, p. 1531-1543
Hu, JS; Yan, M.


Expand All Collapse All


Article 4

Computation of the adiabatic invariant of the symmetric nonlinear oscillator dt(2)/d(y)+Q(epsilon t)y(n) = R(epsilon t)y(m)
European journal of applied mathematics, v. 9, (Part 2), 1998, APR, p. 187-194
Hu, J.
Linkage between adiabatic invariance and symmetry of solutions
Studies in applied mathematics, v. 101, (2), 1998, AUG, p. 99-126
Hu, JS
Nonuniformity of adiabatic invariance for nonlinear oscillators
SIAM journal on applied mathematics, v. 59, (3), 1998, DEC 15, p. 777-786
Hu, JS
Projection dynamics in Godunov-type schemes
Journal of computational physics, v. 142, (2), 1998, MAY 20, p. 412-427
Xu, Kun; Hu, Jishan


Expand All Collapse All


Article 1

Asymptotics beyond all orders for a certain type of nonlinear oscillators
Studies in applied mathematics, v. 96, (1), 1996, JAN, p. 85-109
Hu, JS


Expand All Collapse All


Conference paper 1

Analysis of the radiation loss: Asymptotics beyond all orders
OPERATOR THEORY AND BOUNDARY EIGENVALUE PROBLEMS, v. 80, 1995, p. 168-175
Hu, JS; Cheng, WC


Expand All Collapse All


Article 1

Two new adiabatically equivalent quantities for the linear harmonic oscillator
Physics Letters A, v. 189, (3), p. 171-175
Hu, Jishan; Mao, Jian-Min


Expand All Collapse All


Article 4

Numerical computation of transcendentally small reflection
Phys. Lett. A, v. 167, 1992, p. 191-197
Hu, J.
Reflection coeffcient beyond all orders for singular problems III
J. Math. Phys., v. 33, (1), 1992, p. 37-43
Hu, J.
Reflection Coefficient Problems for Weakly Nonlinear Wave Equations
SIAM Journal on Applied Mathematics, v. 52, (6), Dec 1992, p. 1584-1596
Hu, Ji Shan; Kruskal, Martin D.
Transcendentally small reflection for singular weakly nonlinear problems
SIAM J. App. Math., v. 52, (6), 1992, p. 1584-1596
Hu, J.; Kruskal, M.


Expand All Collapse All


Article 3

Reflection coeffcient beyond all orders for singular problems I
J. Math. Phys., v. 32, (9), 1991, p. 2400-2405
Hu, J.; Kruskal, M.
Reflection coeffcient beyond all orders for singular problems II
J. Math. Phys., v. 32, (10), 1991, p. 2676-2678
Hu, J.; Kruskal, M.
Transcendentally small reflection of waves for problems with/ without turning points near infinity: a new uniform approach
J. Math. Phys., v. 32, (12), 1991, p. 3278-3284
Gingold, H.; Hu, J.


Expand All Collapse All


2015 1

Integrability conditions on Engel-type manifolds
Analysis and Mathematical Physics, v. 5, (3), September 2015, p. 217-231
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan Article

2014 1

Poincare's lemma on the Heisenberg group
Advances in Applied Mathematics, v. 60, September 2014, p. 90-102
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan Article

2012 1

Heat kernels for a class of degenerate elliptic operators using stochastic method
Complex variables and elliptic equations, v. 57, (2-4), 2012, p. 155-168
Calin, O.; Chang, D.C.; Hu, J.; LI, Y. Article

2011 2

ON HEAT KERNELS OF A CLASS OF DEGENERATE ELLIPTIC OPERATORS
Journal of nonlinear and convex analysis, v. 12, (2), 2011, p. 309-340
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan; Li, Yutian Article
Stochastic Regression in Terms of Brownian Motion
Applicable analysis, v. 90, (6), 2011, p. 899-919
Calin, Ovidiu; Chang, Der-Chen; Hu, Ji-Shan Article

2010 1

Calculus: Rigor, Concision, Clarity
Calculus: Rigor, Concision, Clarity / Jishan Hu, Jian-Shu Li, Wei-Ping Li, Min Yan. Hong Kong: Hong Kong Mathematical Society, 2010
Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min Book

2009 1

Geometric mechanics on product Heisenberg groups
Applicable analysis, v. 88, (2), 2009, p. 243-283
Chang, Der-Chen; Chang, Ting-Hui; Hu, Jishan Article

2008 2

Regularized random-sampling high dimensional model representation (RS-HDMR)
Journal of mathematical chemistry, v. 43, (3), 2008, MAR, p. 1207-1232
Li, Genyuan; Rabitz, Herschel; Hu, Jishan; Chen, Zheng; Ju, Yiguang Article
Study of a micro absorption heat pump system
INTERNATIONAL journal OF refrigeration-revue internationale DU froid, v. 31, (7), 2008, NOV, p. 1198-1206
Hu, J.S.; Chao, Christopher Y.H. Article

2006 1

Random sampling-high dimensional model representation (RS-HDMR) and orthogonality of its different order component functions
JOURNAL OF PHYSICAL CHEMISTRY A, v. 110, (7), 2006, FEB 23, p. 2474-2485
Li, GY; Hu, JS; Wang, SW; Georgopoulos, PG; Schoendorf, J.; Rabitz, H. Article

2003 1

An elementary and direct proof of the Painleve property for the Painleve equations I, II and IV
Journal d Analyse Mathematique, v. 91, 2003, p. 105-121
Hu, JS; Yan, M. Article

2002 1

A Link between two Fundamental Contributions of Kowalevski
The Kowalevski Property, CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI
Hu, Jishan; Yan, Min Conference paper

2001 2

Mirror transformations of Hamiltonian systems
PHYSICA D, v. 152, 2001, MAY 15, p. 110-123
Hu, JS; Yan, M.; Yee, TL Article
Symplectic Structure of the Painlevé Test
Journal of Nonlinear Mathematical Physics, v. 8, (Suppl. 1), February 2001, p. 145-148
Hu, Jishan; Yan, Min Article

2000 2

The mirror systems of integrable equations
Studies in applied mathematics, v. 104, (1), 2000, JAN, p. 67-90
Hu, JS; Yan, M. Article
Local analyticity of solutions in the Painleve test
PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, 2000, p. 146-152
Hu, JS; Yan, M. Conference paper

1999 2

Nonlinear Hamiltonian systems and exponential asymptotics for the adiabatic invariants
Dynamics OF continuous DISCRETE and IMPULSIVE SYSTEMS, v. 5, (1-4), 1999, MAR, p. 261-270
Hu, JS Article
Singularity analysis for integrable systems by their mirrors
Nonlinearity, v. 12, (6), 1999, NOV, p. 1531-1543
Hu, JS; Yan, M. Article

1998 4

Computation of the adiabatic invariant of the symmetric nonlinear oscillator dt(2)/d(y)+Q(epsilon t)y(n) = R(epsilon t)y(m)
European journal of applied mathematics, v. 9, (Part 2), 1998, APR, p. 187-194
Hu, J. Article
Linkage between adiabatic invariance and symmetry of solutions
Studies in applied mathematics, v. 101, (2), 1998, AUG, p. 99-126
Hu, JS Article
Nonuniformity of adiabatic invariance for nonlinear oscillators
SIAM journal on applied mathematics, v. 59, (3), 1998, DEC 15, p. 777-786
Hu, JS Article
Projection dynamics in Godunov-type schemes
Journal of computational physics, v. 142, (2), 1998, MAY 20, p. 412-427
Xu, Kun; Hu, Jishan Article

1996 1

Asymptotics beyond all orders for a certain type of nonlinear oscillators
Studies in applied mathematics, v. 96, (1), 1996, JAN, p. 85-109
Hu, JS Article

1995 1

Analysis of the radiation loss: Asymptotics beyond all orders
OPERATOR THEORY AND BOUNDARY EIGENVALUE PROBLEMS, v. 80, 1995, p. 168-175
Hu, JS; Cheng, WC Conference paper

1994 1

Two new adiabatically equivalent quantities for the linear harmonic oscillator
Physics Letters A, v. 189, (3), p. 171-175
Hu, Jishan; Mao, Jian-Min Article

1992 4

Numerical computation of transcendentally small reflection
Phys. Lett. A, v. 167, 1992, p. 191-197
Hu, J. Article
Reflection coeffcient beyond all orders for singular problems III
J. Math. Phys., v. 33, (1), 1992, p. 37-43
Hu, J. Article
Reflection Coefficient Problems for Weakly Nonlinear Wave Equations
SIAM Journal on Applied Mathematics, v. 52, (6), Dec 1992, p. 1584-1596
Hu, Ji Shan; Kruskal, Martin D. Article
Transcendentally small reflection for singular weakly nonlinear problems
SIAM J. App. Math., v. 52, (6), 1992, p. 1584-1596
Hu, J.; Kruskal, M. Article

1991 3

Reflection coeffcient beyond all orders for singular problems I
J. Math. Phys., v. 32, (9), 1991, p. 2400-2405
Hu, J.; Kruskal, M. Article
Reflection coeffcient beyond all orders for singular problems II
J. Math. Phys., v. 32, (10), 1991, p. 2676-2678
Hu, J.; Kruskal, M. Article
Transcendentally small reflection of waves for problems with/ without turning points near infinity: a new uniform approach
J. Math. Phys., v. 32, (12), 1991, p. 3278-3284
Gingold, H.; Hu, J. Article


No Publications


No Publications


No Publications


No Publications






Teaching Assignment

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2021-22 Winter 0 2021-22 Fall 0 2020-21 Summer 0 2020-21 Spring 1 2020-21 Winter 0 2020-21 Fall 0

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MATH1014 Calculus II


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments






Research Postgraduate (RPG) Supervision From January 2019 to December 2022 (As of 30 January 2022)

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All Supervisions Current RPGs Graduated RPGs

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Current RPGs

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Doctor of Philosophy ZHANG, Jiaxin
Mathematics( 2021 - )

XU, Nan (co-supervision)
Individualized Interdisciplinary Program( 2019 - )

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Master of Philosophy XUAN, Junpeng (co-supervision)
Individualized Interdisciplinary Program( 2019 - )

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Graduated RPGs

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Master of Philosophy DU, Kenan (co-supervision)
Individualized Interdisciplinary Program( Completed in 2021 )

LING, Chuanyu (co-supervision)
Individualized Interdisciplinary Program( Completed in 2021 )









ProjectsFrom January 2020 to December 2022

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