Hun Hee Lee (이 훈 희)

Professor at Department of Mathematical Sciences

Seoul National University

Contact

Email hunheelee at snu.ac.kr
Phone +82-2-880-4076 (Office)
+82-2-887-4694 (Fax)
Address Department of Mathematical Sciences
Seoul National University
San56-1 Shinrim-dong Kwanak-gu
Seoul 151-747, Republic of Korea
Office 27-313
Office Hour By appointment

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Curriculum Vitae

(Co-)Organizing Meetings

Topological quantum groups and harmonic analysis, May 15 ~ 19, 2017, Korea

The 13th Korea Operator Algebra Seminar (KOAS) September 21-23, 2017, Hankyeri, Korea

The 1st Quantum Computation/Information/Cryptography (QCIC) School, November 09-12, 2017, Phoenix Park, Pyeongchang, Korea

The 2nd Quantum Computation/Information/Cryptography (QCIC) School, Feburuary 07-09, 2018, 청강문화산업대학교 (CHUNGKANG COLLEGE OF CULTURAL INDUSTRIES), Icheon-si, Korea

Intensive lectures on Gaussian quantum information, Oct 24-27, 2018, SNU (Seoul National University), Korea

Mathematical Aspects in Current Quantum Information Theory 2019 (MAQIT 2019), May 20-24, 2019, SNU (Seoul National University), Korea

The 15th Korea Operator Algebra Seminar (KOAS) October 2, 2018, 동국대학교

제 1 회 수학자를 위한 양자역학 여름학교, 8월 24일-27일, 2019년, 웰리힐리파크

The 17th Korea Operator Algebra Seminar (KOAS) November 29-30, 2019, 서울치의학교육원(모임공간 SIDA, 사당)

제 2 회 수학자를 위한 양자역학 겨울학교, 12월 21일-23일, 2019년, 웰리힐리파크

The 14th SNU-HU Symposium on Mathematics, Online Meeting

제 2 회 수학자를 위한 통계역학 겨울학교, 1월 18일-20일, 2021년, Online via Zoom

작용소 겨울학교, 12월 14일-17일, 2021년, Cafe 7HUNDRED 대관령면 / Online via Zoom

The 20th Korea Operator Algebra Seminar (KOAS) May 19-21, 2022, 충북대학교 수학과

작용소 겨울학교 2022, 12월 19일-22일, 2022년, AM 호텔 대관령면

함수해석학 겨울학교 2023, 12월 18일-22일, 2023년, 청강문화산업대학교

함수해석학 겨울학교 2025, 01월 20일-24일, 2025년, 서울대학교

The 2nd China-Japan-Korea (CJK) Conference on Functional Analysis, July 07-11, 2025, Seoul National University, Korea

Education

B.S. Mathematics (1993~1997) Korea Advanced Institute of Science and Technology (KAIST), Korea
M.S. Mathematics (1997~1999) Korea Advanced Institute of Science and Technology (KAIST), Korea
Ph.D. Applied Mathematics (1999~2004) Korea Advanced Institute of Science and Technology (KAIST), Korea

Work Experience

1. Professor at Seoul National University, Seoul (03/2020 ~ present)
2. Assistant/Associate Professor at Seoul National University, Seoul (03/2013 ~ 02/2020)
3. Assistant Professor at Chungbuk National University, Cheongju (03/2009 ~ 02/2013)
4. Postdoctral Fellow at University of Waterloo, Waterloo, Canada (07/2007 ~ 02/2009)
5. Research Assistant Professor at POSTECH, Pohang (02/2007 ~ 07/2007)
6. Visiting Scholar at TAMU, College Station, USA (10/2006 ~ 12/2006)
7. Visiting Postdoc (supported by KOSEF) at UIUC, Urbana-Champaign, USA (11/2005 ~ 10/2006)
8. BK21 Postdoc at Seoul National University, Seoul (03/2004 ~ 11/2005)

Research

Interests

Abstract harmonic analysis, Non-commutative probability, Non-commutative Lp spaces, Operator spaces, Quantum Information theory and Topological quantum groups.
 

Books

1. 함수해석학 입문 (Introduction to Functional Analysis), 경문사 (Kyung Moon Sa), September 2026.

Publications by topics

Geometry of Banach spaces and Operator spaces

1. (with C. Choi) Operators of Fourier type p with respect to some subgroups of a locally compact abelian group. Arch. Math.(Basel) 81 (2003), No.4, 457-466.

2. Vector valued Fourier analysis on unimodular groups. Math. Nachr. 279 (2006), No. 8, 854-874.

3. (with A. Hinrichs) Duality of Fourier type with respect to locally compact abelian groups. Israel. J. 157 (2007).

4. Extremal cases of exactness constant and completely bounded projection constant, Illinois J. Math. 51 (2007), Issue 4, 1341-1347.

5. Unconditionality with respect to complete orthonormal systems in noncommutative L2 spaces, Indiana Univ. Math. J. 56 No. 6 (2007), 2763-2786.

6. Type and cotype of operator spaces. Studia Math. 185 (2008) No. 3, 219-247.

7. (with M. Junge) A Maurey type result for operator spaces, J. Funct. Anal. 254 (2008) 1373-1409.

8. Weak type (2,H) and weak cotype (2,H) of operator spaces. Houston J. Math. 35 No.4 (2009) 1171-1201.

9. Tsirelson like operator spaces. Math. Nachr. 286, No. 14-15 (2013) 1491-1509.

10. (with Ebrahim Samei and Matthew Wiersma) New tensor products of C*-algebras and characterization of type I C*-algebras as rigidly symmetric C*-algebras. Trans. Amer. Math. Soc. 377, Number 6 (2024), 4223-4253.

Non-commutative probability

1. (with M. Junge) q-Chaos. Trans. Amer. Math. Soc. 363 (2011), 5223-5249.

2. (with E. Ricard) Hypercontractivity on the q-Araki-Woods algebras. Comm. Math. Phys, 305(2) (2011), 533-553.

3. (with N. Obata) Distance-k graphs of hypercube and q-Hermite polynomials. Infin. Dimens. Anal. Quantum Probab. Relat. Top., Vol. 16, No. 2 (2013) 1350011 (12 pages).

4. (with Y. Hibino and N. Obata) Asymptotic Spectral Distributions of Distance k-Graphs of Cartesian Product Graphs, Colloq. Math. 132 (2013), 35-51.

Abstract harmonic analysis on groups

1. (with B. E. Forrest and E. Samei) Projectivity of modules over Fourier algebras. Proc. London Math. Soc. (2011) 102(4): 697-730.

2. (with E. Samei) Beurling-Fourier Algebras, operator amenability and Arens Regularity. J. Funct. Anal. 262 (2012), 167-209.

3. (with B. E. Forrest and E. Samei) Projectivity of modules over Segal algebras. Houston J. Math. Volume 39, No. 2 (2013) 531-560.

4. (with B. Collins and P. Sniady) Dimensions of components of tensor products of the linear groups representations, Studia Math. 220 (2014), 221-241.

5. (with E. Samei and N. Spronk) Some weighted group algebras are operator algebras. Proc. Edinburgh Math. Soc., Volume 58 / Issue 02 / June 2015, pp 499-519.

6. (with M. Ghandehari, E. Samei and N. Spronk) Some Beurling-Fourier algebras are operator algebras. Trans. Amer. Math. Soc. 367, Number 10 (2015), 7029-7059.

7. (with J. Ludwig, E. Samei and N. Spronk) Weak amenability of Fourier algebras and local synthesis of the anti-diagonal, Adv. Math. 292 (2016), 11-41.

8. (with E. Samei and N. Spronk) Similarity degree of Fourier algebras, J. Funct. Anal. 271 (2016), 593-609.

9. (with S.-G. Youn) New deformations of Convolution algebras and Fourier algebras on locally compact groups, Canad. J. Math. 69 (2017), 434-452.

10. (with E. Samei and N. Spronk) p-Fourier algebras on compact groups, Revista Matematica Iberoamericana, Volume 34, Issue 4 (2018) 1469-1514.

11. (with E. Samei and N. Spronk) Corrigendum: Similarity degree of Fourier algebras, J. Funct. Anal. Volume 277, Issue 3 (2019) 958-964.

12. (with M. Ghandehari, J. Ludwig, N. Spronk and L. Turowska) Beurling-Fourier algebras on Lie groups and their spectra, Adv. Math. 388 (2021), 107861.

13. (with X. Xiong) Twisted Fourier(-Stieltjes) spaces and amenability, preprint arXiv:1910.05888.

14. (with Heon Lee) Analytic subalgebras of Beurling-Fourier algebras and complexification of Lie groups, Trans. Amer. Math. Soc. 378 (2025), 6227-6263.

Abstract harmonic analysis on quantum groups

1. (with M. Caspers and E. Ricard) Operator biflatness of the L^1-algebras of compact quantum groups, J. Reine Angew. Math. (Crelle's Journal) Volume 2015, Issue 700, Pages 235-244.

2. (with U. Franz and A. Skalski) Integration over the quantum diagonal subgroup and associated Fourier-like algebras, Int. J. Math. Vol. 27, No. 09, 1650073 (2016).

3. (with U. Franz) Beurling-Fourier algebras of compact quantum groups: characters and finite dimensional representations, Indiana Univ. Math. J. 70 No. 2 (2021), 605--637.

Quantum information theory

1. (with M. Brannan, B. Collins and S.-G. Youn) Temperley-Lieb quantum channels, Comm. Math. Phys., volume 376, pages 795--839 (2020).

2. (with C. Beny and S. J. Park) Twisted Fourier analysis and pseudo-probability distributions, preprint, arXiv:2004.13860.

3. (with S.-G. Youn) Quantum channels with quantum group symmetry, Comm. Math. Phys., volume 389, pages 1303?-1329 (2022).

4. (with E. Chang, J. Kim, H. Kwak, and S.-G. Youn) Irreducibly SU(2)-covariant quantum channels of low rank. Reviews in Mathematical Physics, Vol. 34, No. 07, 2250021 (2022)

5. (with C. Beny, J. Crann, S. J. Park and S.-G. Youn) Gaussian quantum information over general quantum kinematical systems I: Gaussian states. Lett. Math. Phys. 115 (2025), 32.

Honours

TJ Park Junior Faculty Fellowship, POSCO TJ Park Foundation, 2012.

2012 Basic research outstanding achivements (50 selected) supported by ministry of education, science and technology, Korea.

2016 Brain Pool program (KOFST) outstanding achivements, KOFST, 2017.

2018 Research awards, College of Natural Sciences, Seoul National University.

Former PhD students

Sang-Gyun Youn (Assistant professor, Department of Mathematics Education, SNU)

Former Postdoc

Xiao Xiong (Professor at Harbin Institute of Technology, Harbin, China)

Editorship

Editor, Journal of the Korean Mathematical Society (2015 ~ 2023)

Funded Projects

  • Non-commutative Lp-theory in abstract harmonic analysis
    		•  1/5/2009 - 30/4/2012 NRF (한국연구재단)
  • Non-commutative extensions of harmonic analysis
    		•  1/5/2012 - 30/4/2015 NRF (한국연구재단)
  • Analysis on locally compact groups via Fourier algebras and its quantum extension
    		•  1/5/2015 - 30/4/2018 NRF (한국연구재단)
  • Functional analytic approach to quantum channel capacities
    		•  1/9/2017 - 31/8/2022 NRF (한국연구재단)

    Teaching

    Spring, 2026

    함수해석학 (001) Functional Analysis

    Fall, 2025

    수학자를 위한 물리학 (001) (공동강의) Physics for Mathematicians (Co-teaching)

    Spring, 2025

    함수해석학 (001) Functional Analysis

    Spring, 2024

    미적분학 1 (001) Calculus 1

    Fall, 2023

    수학 2 (001) Mathematics 2

    Fall, 2022

    함수해석학 2 (001) Functional Analysis 2

    Spring, 2022

    함수해석학 1 (001) Functional Analysis 1

    Fall, 2021

    복소해석학 Complex Analysis
    정보사회와 수학 Mathematics and Information Society

    Spring, 2021

    실변수함수론 Real Analysis

    Fall, 2020

    정보사회와 수학 Mathematics and Information Society
    푸리에해석과 응용 Fourier Analysis and Applications

    Spring, 2019

    실변수함수론 (대학원) Real Analysis (Graduate)
    리군론 Lie Groups

    Fall, 2018

    수학 및 연습 2 Calculus 2
    함수해석학 2 (대학원) Functional Analysis 2 (Graduate)

    Spring, 2018

    미분방정식 Differential Equations
    실변수함수론 (학부) Real Analysis (Undergraduate)

    Fall, 2017

    해석학특강 (양자정보와 함수해석) Topics in Analysis (Quantum Information and Functional Analysis)

    Spring, 2017

    수학 및 연습 1 (001강좌) Calculus 1
    리군론 Lie Groups

    Fall, 2015

    수학 및 연습 2 (022강좌) Calculus 2
    복소해석학 (대학원) Complex Analysis (Graduate)

    Spring, 2015

    수학 및 연습 1 (028강좌, Lecture in English) Calculus 1
    실해석학 (대학원) Real Analysis (Graduate)

    Fall, 2014

    함수해석학 2 (대학원) Functional Analysis 2 (Graduate)

    Spring, 2014

    수학 및 연습 1 (009강좌) Calculus 1
    작용소대수 (대학원) Operator Algebra (Graduate)

    Fall, 2013

    복소해석학 (대학원) Complex Analysis (Graduate)

    Spring, 2013

    수학 및 연습 1 (019강좌) Calculus 1
    실변수함수론 (학부) Real Analysis (Undergraduate)