Summer REU info- Vic Reiner

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

**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.

**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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