Yilong Yang

Graduate Student | Research Assistant | Teaching Assistant
Mathematics Department, UCLA

  • Office: 3931 Math Sciences Building
  • Office Hour: TR 10AM-11AM, SMC R 11AM-12PM
  • Email: yy26@math.ucla.edu

About Me

I am a graduate student of Mathematics at UCLA, under Professor Terence Tao.

I expect to receive my Ph.D. degree in June, 2017.

My research interest lies in:

  • Quasirandom Groups and Expansion Type Results in Groups
  • Combinatorial Group Theory and Geometric Group Theory
  • Geometric Billiards and Veech Surfaces

Here's my Curriculum Vitae and my Research Statement.

Recent Works

  • Yilong Yang, Arindam Biswas, Diameter Bounds for Finite Simple Groups of Large Rank, to appear in Journal of London Math Society. (arXiv link)
  • Yilong Yang, Local Criteria for Quasirandomness and the Ultraproducts of Quasirandom Groups, to appear in Journal of Group Theory. (Online link ahead of print) (arXiv link)
  • Yilong Yang, Nazih Nahlus, Finite Homomorphic Image of Inverse Limits of Finite Nilpotent, Solvable and Quasisimple Groups, in preparation.
  • Yilong Yang, Finite Homomorphic Image of Inverse Limits of Finite Almost Simple Groups, in preparation.
  • Yilong Yang, Stable Billiard Paths on Polygons, Undergraduate Honor Thesis. (PDF file)
  • Yilong Yang, Haibin Chang, Billiards near Rectangles, REU @ ICERM. (PPT file)
  • Yilong Yang, Whim on Tournaments, Notes for Brown University Math DUG talks. (PDF file)
  • Yilong Yang, Lattice Theory, Notes for Brown University Math DUG talks. (PDF file)

Teaching