Tianyi Yu

    I am a second-year Ph.D. candidate in the math department at the University of California, San Diego. My advisor is Brendon Rhoades. My research is about algebraic combinatorics. Currently, I am interested in the Lascoux polynomials, which can be viewed as K-theoretic analogues of key polynomials. Previously, I obtained bachelor's degrees in Mathematics and Computer Science at the University of California, San Diego. My email address is tiy059 (at) ucsd.edu.

Publications

  1. [PDF] Harmonic bases for generalized coinvariant algebras [with Brendon Rhoades and Zehong Zhao] (Accepted, Electronic Journal of Combinatorics, 2020.)
  2. [PDF] Harmonic bases for generalized coinvariant algebras [with Brendon Rhoades and Zehong Zhao] (FPSAC 2021 conference proceedings.)
  3. [PDF] Grothendieck to Lascoux expansions [with Mark Shimozono] (Submitted)
  4. [PDF] Grothendieck to Lascoux expansions [with Mark Shimozono] (FPSAC 2022 conference proceedings.)
  5. [PDF] Set-valued tableaux rule for Lascoux polynomials (Submitted)
  6. [PDF] A bijection between K-Kohnert diagrams and reverse set-valued tableaux [with Jianping Pan]

Talks

  1. June, 2021. University of California, San Diego. San Diego, CA (via zoom). [PDF]
  2. September, 2021. University of Minnesota. Minneapolis, MN. [PDF]
  3. September, 2021. University of Illinois, Urbana-Champaign. Urbana, IL. (invited)
  4. September, 2021. University of Waterloo. Waterloo, ON, Canada (via zoom). (invited)
  5. October, 2021. University of California, San Diego. San Diego, CA.
  6. November, 2021. Virginia Polytechnic Institute and State University. Blacksburg, VA.
  7. November, 2021. North Carolina State University. Raleigh, NC. (invited)
  8. January, 2022. FPSAC 2021. Ramat-Gan, Israel (via zoom). [PDF]
  9. February, 2022. University of California, San Diego. San Diego, CA. (advancement) [PDF]
  10. Mar, 2022. GSCC. University of California, San Diego. San Diego, CA. [PDF]
  11. Apr, 2022. University of Washington. Seattle, WA.

Courses TA'd

  • (SP22) CSE 21 Mathematics for Algorithms and Systems (TA)
  • (WI22) Math 10B Calculus II (TA)
  • (FA21) CSE 21 Mathematics for Algorithms and Systems (TA)
  • (SP21) CSE 21 Mathematics for Algorithms and Systems (TA)
  • (WI21) Math 184 Enumerative Combinatorics (TA)
  • (FA20) Math 109 Mathematical Reasoning (TA)
  • (SP20) Math 184 Enumerative Combinatorics (TA)
  • (WI20) CSE 105 Theory of Computability (tutor)
  • (SP19) CSE 101 Design and Analysis of Algorithms (tutor)
  • (WI19) CSE 101 Design and Analysis of Algorithms (tutor)
  • (FA18) Math 20B Calculus for Science and Engineering (TA)
  • (FA18) CSE 105 Theory of Computability (tutor)