Department of Mathematics, HKUST  

  IP, Ivan Chi-Ho   葉智皓

  PhD Yale

Office: Room 3483  

Telephone: 7431  

Email: ivan.ip@ust.hk  

URL:
https://www.math.hkust.edu.hk/~ivanip   
  Associate Professor

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 2015-2018, and a Project Researcher at Kavli IPMU, Tokyo University from 2012-2015. 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.

Teaching

  • MATH3043  Honors Real Analysis
  • MATH5111  Advanced Algebra I

Research Interests

  • Representation Theory, Quantum Groups, Cluster Algebra, Integrable Systems

       Selected Publications

Full Publication List [HKUST Scholarly Publications]  

Article   

  1. 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

  2. Positive Representations of Split Real Simply-Laced Quantum Groups
    • Author(s): Ip, Ivan Chi Ho
    • Source: Publications of the Research Institute for Mathematical Sciences, v. 56, (3), June 2020, p. 603-646
    • Year: 2020

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

  4. 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. 215-238
    • Year: 2019

  5. N=2 super-Teichmuller theory
    • Author(s): Ip, Ivan Chi Ho ; Robert C. Penner; Anton M. Zeitlin
    • Source: Advances in Mathematics, v. 336, October 2018, p. 409-454
    • Year: 2018

  6. Cluster Realization of Uq(g) and Factorizations of The Universal R-matrix
    • Author(s): Ip, Ivan Chi Ho
    • Source: Selecta Mathematica, New Series, v.24, (5), November 2018, p. 4461-4553
    • Year: 2018

  7. N=2 Super-Teichmüller Theory
    • Author(s): Ip, Ivan Chi Ho ; Robert C. Penner; Anton M. Zeitlin
    • Source: Advances in Mathematics, v. 336, October 2018, p. 409-454
    • Year: 2018

  8. On Tensor Products of Positive Representations of Split Real Quantum Borel Subalgebra Uqq (b)
    • Author(s): Ip, Ivan Chi Ho
    • Source: Transactions of the American Mathematical Society. , v. 370, (6), June 2018, p. 4177-4200
    • Year: 2018

  9. 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. 669-695
    • Year: 2016

  10. 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. 857-888
    • Year: 2016

  11. Gauss-lusztig Decomposition for Positive Quantum Groups and Representation by Q-tori
    • Author(s): Ip, Ivan Chi Ho
    • Source: Journal of Pure and Applied Algebra. , v. 219, (12), December 2015, p. 5650-5672
    • Year: 2015

  12. Positive Representations of Non-simply-laced Split Real Quantum Groups
    • Author(s): Ip, Ivan Chi Ho
    • Source: Journal of Algebra. , v. 425, March 2015, p. 245-276
    • Year: 2015

  13. 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. 240-287
    • Year: 2015

  14. Q-Operator and Fusion Relations for Uq(C(2)(2))
    • Author(s): Ip, Ivan Chi Ho; Zeitlin, A.M.
    • Source: Letters in Mathematical Physics. , v. 104, (8), July 2014, p. 1019-1043
    • Year: 2014

  15. 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. 2126-2164
    • Year: 2014

  16. Supersymmetry and the Modular Double
    • Author(s): Ip, Ivan Chi Ho; Zeitlin, Anton M
    • Source: Contemporary Mathematics. , v. 623, 2014, p. 81-91
    • Year: 2014

  17. Representation of the Quantum Plane, Its Quantum Double, and Harmonic Analysis on GLq+(2, ℝ)
    • Author(s): Ip, Ivan Chi Ho
    • Source: Selecta Mathematica, New Series. , v. 19, (4), November 2013, p. 987-1082
    • Year: 2013

  18. 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   

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

  2. 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. 1-21
    • Year: 2013

  3. 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. 175-180
    • Year: 2012

Preprint   

  1. On tensor products decomposition of positive representations of Uqq~(sl(2,R))
    • Author(s): Ip, Ivan Chi Ho
    • Source: arXiv, Nov 2015, Article number 1511.07970
    • Year: 2015

  2. Positive Representations of Split Real Simply-laced Quantum Groups
    • Author(s): Ip, Ivan Chi Ho
    • Source: arXiv, Mar 2012, Articel number 1203.2018
    • Year: 2012

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