Teng Zhang (张腾)

Teng Zhang (张腾)

We must know, and we will know!

Publications

Representative Papers

  • Quadratic Tang–Zhang Inequality , preprint. PDF
    Description: This paper establishes a quantitative strengthening of Sendov's conjecture, namely the quadratic Tang--Zhang inequality.


  • Borcea's 2-Variance Conjecture , preprint. PDF
    Description: This paper proves Borcea's 2-variance conjecture.


  • Sendov's conjecture holds for every degree n ≥ 10200000 , preprint. PDF
    Description: This paper proves Sendov's conjecture for every degree n ≥ 10200000.


  • Nonscalar Non-Commutators in Elementary Linear Groups (with J. Lei), preprint. PDF
    Description: This paper answers a question of Vaserstein by proving the existence of nonscalar elements in elementary linear groups that are not single commutators, with constructions over both noncommutative and commutative rings.