Huang-Ruizhi

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黄瑞芝 (Huang Ruizhi)

  • This page will be no longer updated. The owner prefers to his google site page

  • Email: huangrz@amss.ac.cn， a0123769@u.nus.edu
  • Address: Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China, 100190
  • Homepage: https://sites.google.com/site/hrzsea/

Biography

I am a postdoc at Academy of Mathematics and Systems Science, Chinese Academy of Sciences (from 2018-2020). My mentors are Prof. Haibao Duan, Prof. Fei Han (NUS), and Prof. Jianzhong Pan.

I got my PhD degree at Department of Mathematics of National University of Singapore at Nov. 2017, under the supervision of Prof. Jie Wu.

From 2011 to 2014, I was working with Prof. Xiugui Liu in Nankai University as a master student.

Before that, I got the diploma of material physics at Dalian University of Technology, and thereafter worked in two electric companies as technologist and designer for two years.

Research Interests

Algebraic topology and applications related to manifold topology, differential geometry and mathematical physics, etc.

Publications and Preprints

Unstable homotopy theory

  • (with Jie Wu), Exponential growth of homotopy groups of suspended finite complexes, 21 pages, to appear in Mathematische Zeitschrift. arXiv:1706.02918.
  • (with Jie Wu), Combinatorics of double loop suspensions, evaluation maps and Cohen groups, 37 pages, to appear in Journal of the Mathematical Society of Japan. arXiv:1706.02916.
  • (with Jie Wu), Cancellation and homotopy rigidity of classic functors, Journal of the London Mathematical Society 99 (1) (2019), 225-248. arXiv:1706.02917.
  • (with Jie Wu), On mod $p$ $A_p$-spaces, Algebraic and Geometric Topology 17 (2017), 2125-2144. arXiv:1701.05803.
  • (with Haibao Duan and Fei Han), String^c structures and modular invariants, 40 pages, arXiv:1905.02093.
  • Homotopy types of gauge groups over high dimensional manifolds, 32 pages, submitted. arXiv:1805.04879.
  • Homotopy of gauge groups over non-simply-connected five dimensional manifolds, 33 pages, to appear in Science China Mathematics. arXiv:1805.04878.

Stable and Rational homotopy theory

  • (with Xiugui Liu), Some notes on the sectional fibrations, Topology and its Applications 207 (2016), 123-135. PDF
  • (with Xiugui Liu), Non-triviality of a product in the Adams $E_2$-term, Indian Journal of Pure and Applied Mathematics, vol. 47 (1) (2016), 59-72.
  • (with Xiugui Liu), A nontrivial product in the $E_2$-term of the Adams spectral sequence for the sphere spectrum, Journal of Homotopy and Related Structures, vol. 10 (4) (2015), 735-748.
  • (with X. Liu and S. Liu), Existence of $b_0b_1g_0\gamma_s$-element in the stable homotopy of spheres, Journal of Homotopy and Related Structures, vol. 9 (2) (2014), 263-271.
  • (with Xiugui Liu), The rational homotopical nilpotency of principal $U_n(\mathbb{C})$-bundles, Topology and its Applications 160 (2013), 1466-1475.

Grant

  • NSFC Grant for Young Researchers, CNY250,000.
  • Chinese Postdoctoral Science Foundation Grant No. 2019T120145, CNY180,000.
  • Chinese Postdoctoral Science Foundation Grant No. 2018M631605, CNY50,000.
  • AcRF Tier 1 R-146-000-222-112 of MOE of Singapore, SGD88,255 (with Jie Wu).

Awards/Honors

  • 2019, Honorable Mention of PhD thesis for The New World Mathematics Awards (NWMA) 2018, ICCM 2019.
  • 2018-2020, Postdoctoral International Exchange Program for Incoming Post- doctoral Students, China Postdoctoral Council, China Postdoctoral Science Foundation.
  • 2014 and 2013, National Scholarship, Ministry of Education of China.

Service

Selected talks

  • 2019, Index Theory, Duality and Related Fields–An America-Australia-China-Japan- Singapore Index Theory Meeting (1st), Chern Institute of Mathematics, Tianjin, China.
  • 2018, The 5th China-Russia Workshop on Knot Theory and Related Topics, Dalian University of Technology, Dalian, China.
  • 2018, ICM2018 Satellite Conference on “Braid groups, configuration spaces and homotopy theory”, Federal University of Bahia, Salvador, Brazil.
  • 2018, Joint International Meeting of Chinese Mathematical Society and American Mathematical Society, Fudan University, CAS-AMS, Shanghai, China.
  • 2017, 7th East Asian Conference on Algebraic Topology (EACAT), Indian Institute of Science Education and Research (IISER) Mohali, Mohali, India.
  • 2017, The 2nd Pan Pacific International Conference on Topology and Applications (2ndPPICTA), Pusan National University, Pusan, Korea.