Tianyi Yu

    I am a third-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] (Accepted, Transactions of the American Mathematical Society)
  4. [PDF] Grothendieck to Lascoux expansions [with Mark Shimozono] (FPSAC 2022 conference proceedings.)
  5. [PDF] Set-valued tableaux rule for Lascoux polynomials (Accepted, Combinatorial Theory)
  6. [PDF] A bijection between K-Kohnert diagrams and reverse set-valued tableaux [with Jianping Pan] (Submitted)
  7. [PDF] A row analogue of Hecke column insertion [with Daoji Huang and Mark Shimozono] (Submitted)
  8. [PDF] Top-degree components of Grothendieck and Lascoux polynomials [with Jianping Pan] (Submitted)

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. March, 2022. GSCC. University of California, San Diego. San Diego, CA (via zoom). [PDF]
  11. April, 2022. University of Washington. Seattle, WA.
  12. September, 2022. University of Illinois, Urbana-Champaign. Urbana, IL.
  13. September, 2022. University of Minnesota. Minneapolis, MN. (invited)
  14. November, 2022. University of Florida. Gainesville, Florida.
  15. November, 2022. University of California, Los Angeles. Los Angeles, CA.
  16. January, 2023. University of California, San Diego. San Diego, CA.[PDF]
  17. March, 2023. GSCC. Washington University in St. Louis. St. Louis, MO.
  18. March, 2023. University of Michigan. Ann Arbor, MI. (invited)

Courses recently TA'd

  • (WI23) Math 202B Applied Algebra II
  • (WI23) Math 184 Enumerative Combinatorics
  • (FA22) Math 188 Algebraic Combinatorics
  • (FA22) Math 10B Calculus II
  • (SP22) CSE 21 Mathematics for Algorithms and Systems
  • (WI22) Math 10B Calculus II
  • (FA21) CSE 21 Mathematics for Algorithms and Systems
  • (SP21) CSE 21 Mathematics for Algorithms and Systems
  • (WI21) Math 184 Enumerative Combinatorics
  • (FA20) Math 109 Mathematical Reasoning

chi-index

The chi-index measures the walking time, in minutes, from a university's math department to the nearest Chipotle. Here's a ranked list of the chi-indices for the universities I've given in-person talks at.
  1. University of Illinois, Urbana-Champaign: 4 min.
  2. North Carolina State University: 6 min.
  3. University of Minnesota: 9 min.
  4. University of Florida: 9 min.
  5. University of Washington: 11 min.
  6. Virginia Polytechnic Institute and State University: 14 min.
  7. University of California, Los Angeles: 17 min.
  8. University of California, San Diego: 30 min.