| Date | Problem | Talk titles and PDFs | Practice talk TA | Report draft TA |
|---|---|---|---|---|
| Wed July 27 | 3 4 8 |
Jacobi-Trudi determinants over finite fields Shards and noncrossing tree partitions Gelfand-Tsetlin polytopes: diameter and symmetry |
Strasser Corsi Corsi |
Strasser Corsi delMas/Corsi |
| Fri July 29 | 2 7 |
Toric mutations in the dP2 quiver Coincidences among skew Grothendieck polynomials |
delMas Chepuri |
Chepuri Chepuri |
| Mon Aug 1 | 1 5 6 |
Sandpile groups of cubes Bijections between Catalan objects Stable cluster variables |
Grodzicki delMas Strasser |
Grodzicki delMas Strasser |
Travis Scrimshaw's SAGE demo worksheet
| No. (date) | Mentor | TAs | Notes | Sources | Student presenter(s) |
Date(s) | Students interested | |
|---|---|---|---|---|---|---|---|---|
| 1 (Wed 6/8) Sandpile groups of cubes |
Reiner | Grodzicki | Day 1 notes | Bai Ducey-Jalil Benkart-Klivans-Reiner Chandler-Sin-Xiang |
B. Anzis |
Mon 6/20 |
B. Anzis R. Prasad |
|
| 2 (Thu 6/9) dP2 quiver cluster variables |
Musiker | Chepuri | Day 2 notes | Lai-Musiker Speyer Kuo Zhang Leoni-Musiker-Neel-Turner Hanany-Seong BousquetMelou-Propp-West A talk by Musiker Eager-Franco (Sec. 9.4) |
Z. Li J. Vuong Y. Gao |
Wed 6/22 Fri 6/24 Wed 6/22 |
Y. Gao Z. Li J. Vuong L. Yang |
|
| 3 (Fri 6/10) Probability that Schur functions vanish |
Patrias | Strasser | Day 3 notes | Fulmek (Sec. 3 on Jacobi-Trudi) Klein-Lewis-Morales |
R. Prasad E. Alwaise |
Mon 6/20 Mon 6/20 |
B. Anzis S. Chen Y. Gao J. Kim Z. Li |
|
| 4 (Mon 6/13) Noncrossing tree partitions |
Garver | Corsi | Day 4 notes by Al Day 4 notes by Vic |
Garver-McConville Petersen Reading Bjorner-Wachs |
P. Dillery |
Wed 6/22 |
Y. Clifton P. Dillery |
|
| 5 (Tue 6/14) Rigged configurations and Catalan objects |
Scrimshaw | delMas | Day 5 notes by Travis Day 5 notes by Vic |
Reynolds's thesis Haglund Kirillov |
S. Chen |
Mon 6/27 |
S. Chen G. Zhang |
|
| 6 (Wed 6/15) Stable cluster variables |
Musiker | Strasser | Day 6 notes Text file with data (instructions within) REU-Problem6.sage, a SAGE file |
Young Szendroi Eager-Franco (Sec. 9.5) Aganagic-Schaeffer (Appendix A) |
G. Zhang |
Mon 6/27 |
G. Zhang | |
| 7 (Thu 6/16) Equality of skew Grothendieck polynomials |
Patrias | Chepuri | Day 7 notes | McNamara-vanWilligenburg Reiner-Shaw-vanWilligenburg Billera-Thomas-vanWilligenburg vanWilligenburg Lam-Pylyavskyy |
M. Shinners B. Krakoff A. Zheng |
Wed 6/29 Wed 6/29 Mon 6/27 |
E. Alwaise S. Chen Y. Clifton R. Prasad M. Shinners L. Yang A. Zheng |
|
| 8 (Fri 6/17) Faces of Gelfand-Tsetlin polytopes |
Reiner | delMas | Day 8 notes | McAllister's thesis (Chap. 4) Stanley An-Cho-Kim Gusev-Kiritchenko-Timorin Alexandersson |
L. Yang Y. Clifton J. Kim |
Fri 6/24 Fri 6/24 Wed 7/6 |
Y. Gao B. Krakoff L. Yang |
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