Associate Professor Ming-Hsuan Kang

Contact

• Email: mhkang@math.nctu.edu.tw
• Tel: +886-3-571-2121 ext. 56416
• Fax: +886-572-4679
• Address: Department of Applied Mathematics, National Yang Ming Chiao Tung University,1001 Ta Hsueh Road, Hsinchu, Taiwan 30010, ROC

Teaching

• Fall Semester, 2024：
  • Service Learning I
• Spring Semester, 2024：
  • Representation Theory of Finite Groups and Applications　
  • Service Learning II

Vitae

• Education
  • Pennsylvania State University, Ph.D (2004-2010)
  • National Taiwan University, B.S (1997-2001)
• Research Areas
  • Number Theory
• Positions, Honors and Awards
  • Visiting Scholar , Purdue University 2011-2012
  • Postdoctoral Research Abroad Program Fellowship, National Science Council , Taiwan 2010
  • Finalist for Alumni Association Dissertation Award, Pennsylvania State University, USA 2009
  • Pritchard Dissertation Fellowship, Pennsylvania State University, USA
• Recent Research Projects

  Zeta functions and cohomology of complexes from p-adic reductive groups (100-2115-M-009-008-MY2)

Selected Publications

(A)   Refereed Papers：

1. Expanders and Nano-scale Self-assembly (joint with A. Gamburd, P. Keukus, W.C. Li and P.Vontobel) , Proceedings of the 4th Conference on Foundations of Nanoscience, 2007.
2. The Zeta Functions of Complexes from PGL(3): A Representation-theoretic Approach(joint with W.C. Li and C.J. Wang), the Israel Journal of Math., Volume 177, Number 1,335-348, 2010.
3. Zeta Functions of Complexes Arising from PGL(3) (joint with W.C. Li), Advances in Mathematics 256 (2014), 46–103. 
4. Toroidal Fullerenes with the Cayley Graph Structures, Discrete Mathematics 311 (2011), pp. 2384-2395
5. Geometric zeta functions for higher rank p-adic groups (joint with A. Deitmar), Illinois J. Math.Volume 58, Number 3 (2014), 719-738.
6. Zeta Functions of F1-buildings (joint with Anton Deitmar), to appear in Journal of the Mathematical Society of Japan.
7. On spherical Monte Carlo simulations for multivariate normal probabilities(joint with Huei-Wen Teng and Cheng-Der Fuh), Advances in Applied Probability 47.3 (September 2015).
8. Artin L-functions on finite quotients of PGL_3(joint with W.C. Li), to appear in International Mathematics Research Note.
9. Bass-Ihara zeta functions for non-uniform tree lattices (joint with Anton Deitmar), submitted. 
10. Riemann Hypothesis and strong Ramanujan complexes from GLn, to appear in Journal of Number Theory.
11. Zeta and L-functions of finite quotients of apartments and buildings (joint with W.C. Li and C.J. Wang), the Israel Journal of Math., Volume 228, Number 1,79-117, 2018
12. Building lattices and zeta functions (joint with A. Deitmar and R. MacCallum), Advances in Geometry, 2019
13. Twisted Poincaré series and zeta functions on finite quotients of buildings (joint with  R. MacCallum ),Journal of Algebraic Combinatorics, Volume 49, Number 3, 309-336 

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