Vic Reiner

Some REU Summer 2018 info

Dates: Mon June 12 - Fri Aug. 4, meetings in Vincent Hall 206
9:30am-12:30pm on Mon, Tues, Wed, Thur, Fri for June 11-22
9:30am-noon only on Mon, Wed, Fri for the remainder until Aug. 3

Mentors: Gregg Musiker (coordinator, VinH251), Christine Berkesch (VinH254), Ben Brubaker (VinH352), Sunita Chepuri (VinH552), Kai-Wen Lan (VinH351), Vic Reiner (VinH256)

TAs: Esther Banaian (VinH550), Andy Hardt (VinH524), Mike Loper (VinH456) Eric Stucky (VinH550), Katy Weber (VinH520)

Participants: Yulia Alexandr, Brian Burks, Patty Commins, Alexandra Embry, Sylvia Frank, Jiyang Gao, Meghal Gupta, Yutong Li, Jared Marx-Kuo, Amal Mattoo, Vaughan McDonald, John O'Brien, Piriyakorn Piriyatamwong, Caledonia Wilson, Alexander Vetter

Group photo
Unexpected real-world applications of The Weyl Group and The Trivial Group

Final oral reports
Date Problem Talk titles and PDFs TA
Mon July 30 1
4
Dimer intepretations in cluster algebras (photo)
Ice models and classical groups (photo)
Banaian
Weber
Tues July 31 2
3
6
SEALow Team 2 presents: more miles for your (sand)piles (photo)
Resistor networks in a punctured disk (photo)
Rook and symplectic rook monoids (photo)
Stucky
Stucky
Hardt
Wed Aug 1 5
7
8
A virtually complete classification of virtual complete intersections in P1 x P1 (photo)
Simple seedy derivations of generating functions for simple polytopes and cd indices (photo)
Stable polynomials (photo)
Loper
Hardt
Banaian

Problems
No. (date) Mentor TAs Notes Sources
(asterisk * means priority
for student talks)
Student talks
date, presenter
Students
interested
1 (Mon 6/11)
Dimer interpretations
in cluster algebras
Musiker Banaian Day 1 notes Tran*
Vatne*
Kenyon-Pemantle
Rabideau
Schiffler's lecture notes
Fomin-Reading lecture notes
Fomin-Zelevinsky (Sec. 2.4)*
SAGE worksheet from Gregg

Caledonia W. (Mon 6/25)






Caledonia W.
Piriyakorn P.
2 (Tues 6/12)
Binary matroids
and sandpile groups
Reiner Stucky Day 2 notes
... by Elizabeth,
... by Vic.
Chandler-Sin-Xiang*
Bai*
Anzis-Prasad*
Stanley book (prepublishing version)
Vaughan M.(Mon 6/25)
Jared M. (Fri 6/29)
Johnny G. (Mon 6/25)


Amal M.
Jared M.
Johnny G.
Vaughan M.
3 (Wed 6/13)
Electrical networks
in algebraic combinatorics
Chepuri Stucky Day 3 notes Kenyon*
Lam-Pylyavskyy*
Curtis-Ingerman-Morrow*
Curtis-Mooers-Morrow
Pylyvavskyy lecture notes
Sylvia F. (Wed 6/27)
Piriyakorn P. (Mon 7/2)
Patty C. (Wed 6/27)
Brian B. (Fri 6/29)

Brian B.
Patty C.
Yulia A.
4 (Thur 6/14)
Ice models and special functions
in combinatorics
Brubaker Weber Day 4 notes Kuperberg*
Tokuyama*
Brubaker-Bump-Friedberg*
Hamel-King
Brubaker-Schulz
R. Baxter's "Exactly solved models in statistical mechanics" (particularly Chap. 9)
Barcelo-Ram
Alex V. (Wed 6/27)
Yulia A. (Fri 7/6)
Allie E. (Fri 7/6)





Alex V.
Allie E.
Johnny G.
Patty C.
Sylvia F.
Yulia A.
Yutong L.
5 (Fri 6/15)
Virtual resolutions
in commutative algebra
Berkesch Loper Day 5 notes Chap. 4* of Atiyah-Macdonald
Chap. 4 of Cox-Little-O'Shea's "Ideals, varieties, and algorithms"
Chap. 6* of Cox-Little-O'Shea's "Using algebraic geometry"
Loper* survey
Berkesch-Schreyer
Berkesch-Erman-Smith
Macaulay2 demo worksheet from Christine
Amal M. (Fri 6/29)

Yutong L. (Mon 7/2)




Amal M.
Johnny G.
Yutong L.
6 (Mon 6/18)
Algebraic monoids
Brubaker Hardt Day 6 notes Li-Li-Cao* on reps of Renner monoid
Li-Li-Cao on Renner monoids
Halverson*
Bump notes on Hecke algebras
Solomon*
Renner's "Linear algebraic monoids", available as e-copy from our library.


John O. (Fri 7/6)



Alex V.
John O.
Jared M.
Vaughan M.
7 (Tues 6/19)
Weight polytopes and
Wythoff's construction
Reiner Hardt Day 7 notes
... by Elizabeth,
... by Vic.
Golubitsky*
Renner*
Maxwell*
Scharlau




Johnny G.
Vaughan M.
8 (Wed 6/20)
F-polynomials and infinite
continued fractions
Musiker Banaian Day 8 notes Zhang*
Vogel*
Canakci-Schiffler*
Canakci-Felikson
Reading
Young
SAGE worksheet from Gregg
Meghal G. (Mon. 7/2)






Meghal G.

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