Rung-Tzung Huang 黃榮宗

2022/08/01 ~ Chairman of Department of Mathematics, National Central University

2020/08/01 ~ Professor, National Central University

2018/08/01 ~ 2022/07/31 Vice-Chairman of Department of Mathematics, National Central University

2015/08/01 ~ 2020/07/31 Associate Professor, National Central University

2011/08/01 ~ 2015/07/31 Assistant Professor, National Central University
2009/08/10 ~ 2011/07/31 Postdoctor, Institute of Mathmatics, Academia Sinica

2007/07/01 ~ 2009/08/07 Research fellow,Korea Institute for Advanced Study(KIAS)
　

1.國立中央大學113學年度「校教學傑出獎」

2.國立中央大學113學年度「優良導師獎」

3.國立中央大學111學年度「校教學優良獎」

4.國立中央大學111學年度「特聘教授獎」

5.國立中央大學110學年度「學術研究傑出獎」

6.國立中央大學109學年度「學術研究傑出獎」

7.國立中央大學109學年度理學院「教學優良獎」

8.國立中央大學105學年度理學院「教學優良獎」

9.國立中央大學103學年度理學院「教學優良獎」

Journal papers: 

1.Refined Analytic Torsion: Comparison Theorems and Examples, Illinois Journal of Mathematics, Vol. 51, No. 4, (2007), 1309-1327.
2.Cappell-Miller analytic torsion for manifolds with boundary, Proceedings of the American Mathematical Society, Vol. 138, No. 10, Oct. (2010), 3733-3747.

3.Twisted Cappell-Miller holomorphic and analytic torsions, Pacific Journal of Mathematics, Vol. 251, No. 1, May. (2011), 81-107.

4.Refined analytic torsion for twisted de Rham complexes, Communications in Analysis and Geometry, Vol. 19, No. 2, (2011), 401-449.

5.(with Yoonweon Lee) The gluing formula of the refined analytic torsion for an acyclic Hermitian connection, Manuscripta Mathematica, Vol. 139, (2012), No. 1-2, 91-122. 

6.(with Yoonweon Lee) The comparison of two constructions of the refined analytic torsion on compact manifolds with boundary, Journal of Geometry and Physics, Vol. 76, Feb. (2014), 79-96.

7.(with Yoonweon Lee) The gluing formula of the zeta-determinants of Dirac Laplacians for certain boundary conditions, Illinois Journal of Mathematics, Vol. 58, No. 2, Summer (2014), 537-560.

8.(with Yoonweon Lee) Lefschetz fixed point formula on a compact Riemannian manifold with boundary for some boundary conditions, Geometriae Dedicata, Vol. 181, Issue 1, April (2016), 43-59.

9.The anomaly formula of the analytic torsion on CR manifolds with S^1 action, Bull. Inst. Math. Acad. Sin. (N.S.) Vol. 12, (2017), No. 2, 153-203.

10.(with Yoonweon Lee) The refined analytic torsion and a well-posed boundary condition for the odd signature operator, Journal of Geometry and Physics, Vol 126, Mar. (2018), 68-92.
11.(with Chin-Yu Hsiao) The asymptotics of the analytic torsion on CR manifolds with S^1 action, Communications in Contemporary Mathematics, Vol. 21, No. 4, (2019), 1750094, (35 pages).
12.(with Guokuan Shao) The asymptotics of the L^2-analytic torsion on CR manifolds with S^1-action, Bull. Inst. Math. Acad. Sin. (N.S.) Vol. 14, (2019), No. 4, 461-491.

13.(with Guokuan Shao) Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR covering manifolds with S^1-action, Pacific Journal of Mathematics, Vol. 304, No. 2, (2020), 439-462.

14.(with Chin-Yu Hsiao, Xiaoshan Li, Guokuan Shao) S^1-equivariant index theorems and Morse inequalities on complex manifolds with boundary, Journal of Functional Analysis, Vol. 279, No. 3, (2020), 108558, 51 pp.
15.(with Chin-Yu Hsiao) G-invariant Szegö kernel asymptotics and CR reduction, Calculus of Variations and Partial Differential Equations. No. 60, Article number: 47 (2021).

16.(with Chin-Yu Hsiao, Guokuan Shao) On the coefficients of the equivariant Szego kernel asymptotic expansions, The Journal of Geometric Analysis, (2022), 32:31.

17.(with Guokuan Shao) Asymptotics of G-equivariant Szego kernel, Annals of Global Analysis and Geometry, 61 (2022), no. 4, 869-893.

18.(with Chin-Yu Hsiao, Xiaoshan Li, Guokuan Shao) G-invariant Bergman kernel and geometric quantization on complex manifolds with boundary, Mathematische Annalen, Vol. 390, (2024), 4889-4930.

19.(with Chin-Yu Hsiao, Guokuan Shao) Heat kernel asymptotics and analytic torsion on non-degenerate CR manifolds, (2025), arXiv:2509.19167.

20.(with Chin-Yu Hsiao, Xiaonan Ma, George Marinescu) Quantization Commutes with Reduction for Embeddable CR Reductions, (2026), arXiv:2610.05508.

Conference Proceedings:

(with Yoonweon Lee) Boundary problem for the refined analytic torsion on compact manifolds with boundary, Proceedings of the 15th International Workshop on Differential Geometry and the 4th KNUGRG-OCAMI Differential Geometry Workshop Vol. 15, 109–119, Natl. Inst. Math. Sci. (NIMS), Daejeon, 2011.