Problem 
Title 
Mentor's notes 
TA(s) 
Final oral report
 Students 
1

Lattice models

Brubaker

Frechette, Tibor

Lattice Models and Schur Function Identities
Lattice Models, Differential Forms, and the
YangBaxter Equation

Cheng, Fonseca, HermanKerwin
Karhadkar

2

Birational Rmatrix

Chepuri

Tibor

Formulas for Birational RMatrix Action

Lin

3

Cluster algebras

Musiker

Kelley

FPolynomials of the rKronecker Quiver

Lin

4

Real roots

Fraser

Stucky

Realrootedness of Polynomials from Planar Graphs

Cheng, Peng, Srinivasan

5

Toric regularity

Berkesch

Sayrafi

Equality in the EisenbudGoto Conjecture for Certain
Toric Ideals

Cranford, Peng, Srinivasan

6

Frieze patterns

Banaian

Farrell

Infinite Frieze Patterns and Dissections on Annuli

Chen

7

Alcove walks

Hardt

Tibor

Generalities on alcove walks
The Whittaker function and alcove walks
Whittaker functions and the alcove walk
model

Borade, Huynh, Twiss

8

Virtual resolutions for monomial ideas

Yang

Kelley

Virtual Resolutions of Monomial Ideals

Cranford, Karhadkar

9

qRational numbers

Ovenhouse

Kelley

qAnalogues of Rational Numbers

Cranford, Fonseca
