Tianyi Yu

    I am a fourth-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. 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. My CV is here.

Publications

  1. [PDF] Harmonic bases for generalized coinvariant algebras [with Brendon Rhoades and Zehong Zhao] (Electronic Journal of Combinatorics, 2020.)
  2. [PDF] Grothendieck to Lascoux expansions [with Mark Shimozono] (Transactions of the American Mathematical Society, 2023.)
  3. [PDF] Set-valued tableaux rule for Lascoux polynomials (Combinatorial Theory, 2023.)
  4. [PDF] A bijection between K-Kohnert diagrams and reverse set-valued tableaux [with Jianping Pan] (Accepted, Electronic Journal of Combinatorics, 2023.)
  5. [PDF] A row analogue of Hecke column insertion [with Daoji Huang and Mark Shimozono] (Submitted)
  6. [PDF] Top-degree components of Grothendieck and Lascoux polynomials [with Jianping Pan] (Accepted, Algebraic Combinatorics, 2023.)
  7. [PDF] Connection between Schubert polynomials and top Lascoux polynomials (Submitted)
  8. [PDF] Constructing a Gröbner basis of Griffin's ideal (Submitted)
  9. [PDF] Constructing maximal pipedreams of double Grothendieck polynomials [with Chen-An Chou]
  10. [PDF] Lascoux expansion of the product of a Lascoux and a stable Grothendieck [with Gidon Orelowitz]

Conference Proceedings

  1. [PDF] Harmonic bases for generalized coinvariant algebras [with Brendon Rhoades and Zehong Zhao] (FPSAC 2021 conference proceedings.)
  2. [PDF] Grothendieck to Lascoux expansions [with Mark Shimozono] (FPSAC 2022 conference proceedings.)

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)
  19. September, 2023. Fields Institute. Toronto, ON, Canada.[PDF]
  20. September, 2023. University of Waterloo. Waterloo, ON, Canada
  21. November, 2023. Virginia Polytechnic Institute and State University. Blacksburg, VA.
  22. November, 2023. University of California, San Diego. San Diego, CA.
  23. November, 2023. Schubert Seminar. Online.[PDF]
  24. December, 2023. Laboratoire d'Algèbre, de Combinatoire et d'Informatique Mathématique. Montréal, QC, Canada.
  25. January, 2024. Combinatorial Algebra meets Algebraic Combinatorics. Montréal, QC, Canada.
  26. January, 2024. University of Southern California. Los Angeles, CA. (invited)

Courses recently TA'd

  • (WI24) Math 10A Calculus I
  • (FA23) Math 184 Enumerative Combinatorics
  • (SP23) Math 184 Enumerative Combinatorics
  • (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 from a university's math department to the nearest Chipotle. Here's a ranked list of the chi-indices for the universities where I've given (in-person) seminar talks.
  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 Michigan: 10 min.
  6. University of Washington: 11 min.
  7. Virginia Polytechnic Institute and State University: 14 min.
  8. University of California, Los Angeles: 17 min.
  9. Fields Institute: 27 min.
  10. University of California, San Diego: 30 min.
  11. University of Waterloo: 18 hours.