Sections
Right Column
Image
Image
Associate Professor
Biography
Prof. Ip is currently an Associate Professor in the HKUST Department of Mathematics. He joined HKUST as an Assistant Professor in June 2018. Prior to his appointment in HKUST, he stayed in Japan for 6 years as an Assistant Professor at Kyoto University from 20152018, and a Project Researcher at Kavli IPMU, Tokyo University from 20122015. He grew up in Hong Kong and was an IMO Medalist for the Hong Kong team in 2002. He received his B.Sc. in Mathematics and Physics from HKUST, and his Ph.D. in Mathematics from Yale University under the supervision of Igor Frenkel.Research Interests
Representation Theory, Quantum Groups, Cluster Algebra, Integrable SystemsTeaching
 MATH1014 Calculus II
 MATH1024 Honors Calculus II
 MATH6914X Reading Course: Perverse Sheaves
Selected Publications
Article

On tensor product decomposition of positive representations of U_{ qq}^{~}(sl(2, R))
 Author(s): Ip, Ivan Chi Ho
 Source: Letters in Mathematical Physics, v. 111, (2), April 2021, article number 39
 Year: 2021

Positive Representations of Split Real SimplyLaced Quantum Groups
 Author(s): Ip, Ivan Chi Ho
 Source: Publications of the Research Institute for Mathematical Sciences, v. 56, (3), June 2020, p. 603646
 Year: 2020

On Ramond Decorations
 Author(s): Ip, Ivan Chi Ho ; Penner, Robert Clark; Zeitlin, Anton M.
 Source: Communications in Mathematical Physics, April 2019
 Year: 2019

Cluster Realization of Positive Representations of a Split Real Quantum Borel Subalgebra
 Author(s): Ip, Ivan Chi Ho
 Source: Theoretical and Mathematical Physics(Russian Federation), v. 198, (2), 1 February 2019, p. 215238
 Year: 2019

N=2 superTeichmuller theory
 Author(s): Ip, Ivan Chi Ho ; Robert C. Penner; Anton M. Zeitlin
 Source: Advances in Mathematics, v. 336, October 2018, p. 409454
 Year: 2018

Cluster Realization of U_{q}(g) and Factorizations of The Universal Rmatrix
 Author(s): Ip, Ivan Chi Ho
 Source: Selecta Mathematica, New Series, v.24, (5), November 2018, p. 44614553
 Year: 2018

N=2 SuperTeichmüller Theory
 Author(s): Ip, Ivan Chi Ho ; Robert C. Penner; Anton M. Zeitlin
 Source: Advances in Mathematics, v. 336, October 2018, p. 409454
 Year: 2018

On Tensor Products of Positive Representations of Split Real Quantum Borel Subalgebra U_{qq} (b_{ℝ})
 Author(s): Ip, Ivan Chi Ho
 Source: Transactions of the American Mathematical Society. , v. 370, (6), June 2018, p. 41774200
 Year: 2018

Quantum Dilogarithm Identities at Root of Unity
 Author(s): Ip, Ivan Chi Ho; Yamazaki, M.
 Source: International Mathematics Research Notices. , v. 2016, (3), 2016, p. 669695
 Year: 2016

Positive Casimir and Central Characters of Split Real Quantum Groups
 Author(s): Ip, Ivan Chi Ho
 Source: Communications in Mathematical Physics. , v. 344, (3), June 2016, p. 857888
 Year: 2016

Gausslusztig Decomposition for Positive Quantum Groups and Representation by Qtori
 Author(s): Ip, Ivan Chi Ho
 Source: Journal of Pure and Applied Algebra. , v. 219, (12), December 2015, p. 56505672
 Year: 2015

Positive Representations of Nonsimplylaced Split Real Quantum Groups
 Author(s): Ip, Ivan Chi Ho
 Source: Journal of Algebra. , v. 425, March 2015, p. 245276
 Year: 2015

Positive Representations of Split Real Quantum Groups: The Universal R Operator
 Author(s): Ip, Ivan Chi Ho
 Source: International Mathematics Research Notices. , v. 2015, (1), 2015, p. 240287
 Year: 2015

QOperator and Fusion Relations for U_{q}(C^{(2)}(2))
 Author(s): Ip, Ivan Chi Ho; Zeitlin, A.M.
 Source: Letters in Mathematical Physics. , v. 104, (8), July 2014, p. 10191043
 Year: 2014

Positive Representations of Split Real Quantum Groups and Future Perspectives
 Author(s): Frenkel, I.B.; Ip, Ivan Chi Ho
 Source: International Mathematics Research Notices. , v. 2014, (8), January 2014, p. 21262164
 Year: 2014

Supersymmetry and the Modular Double
 Author(s): Ip, Ivan Chi Ho; Zeitlin, Anton M
 Source: Contemporary Mathematics. , v. 623, 2014, p. 8191
 Year: 2014

Representation of the Quantum Plane, Its Quantum Double, and Harmonic Analysis on GL_{q}^{+}(2, ℝ)
 Author(s): Ip, Ivan Chi Ho
 Source: Selecta Mathematica, New Series. , v. 19, (4), November 2013, p. 9871082
 Year: 2013

The Classical Limit of Representation Theory of the Quantum Plane
 Author(s): Ip, Ivan Chi Ho
 Source: International Journal of Mathematics. , v. 24, (4), April 2013, article number 1350031
 Year: 2013
Conference paper

Positive Representations, Multiplier Hopf Algebra, and Continuous Canonical Basis
 Author(s): Ip, Ivan Chi Ho
 Year: 2014

On the work of Igor Frenkel
 Author(s): Duncan, John; Etingof, Pavel; Ip, Ivan Chi Ho; Khovanov, Mikhail; Libine, Matvei; Licata, Anthony; Savage, Alistair; Schlosser, Michael
 Source: Contemporary Mathematics. , v. 610, 2014, p. 121
 Year: 2013

Positive Representations of Split Real Quantum Groups
 Author(s): Ip, Ivan Chi Ho
 Source: Nankai Series in Pure, Applied Mathematics and Theoretical Physics: Symmetries and Groups in Contemporary Physics. , v. 11, 2012, p. 175180
 Year: 2012
Preprint

On tensor products decomposition of positive representations of U_{qq~}(sl(2,R))
 Author(s): Ip, Ivan Chi Ho
 Source: arXiv, Nov 2015, Article number 1511.07970
 Year: 2015

Positive Representations of Split Real Simplylaced Quantum Groups
 Author(s): Ip, Ivan Chi Ho
 Source: arXiv, Mar 2012, Articel number 1203.2018
 Year: 2012

The Graphs of Quantum Dilogarithm
 Author(s): Ip, Ivan Chi Ho
 Source: arXiv, Aug 2011, Article number 1108.5376
 Year: 2011