The topic of the first semester of this year is "Lorentzian polynomials". We will try to read parts of the following important articles:

[BH] Brändén, Huh "Lorentzian polynomials", pdf

[BL] Brändén, Leake "Lorentzian polynomials on cones", pdf

The topic of the second semester of this year is "h-vectors of simplicial complexes". We will aim at understanding the following important article:

[St] Stanley "Subdivisions and local h-vectors", pdf

The topic of the first semester of this year is "Harmonics and graded Ehrhart theory". We will try to read the following important article:

[RR] Rhoades, Reiner "Harmonics and graded Ehrhart theory", pdf

Other relevant references are:

[BR] Beck, Robins "Computing the Continuous Descretely", pdf

The topic of this year is “Toric varieties”. We will be using the following references:

[Telen] Telen, “Introduction to toric geometry”, pdf

[Pegel] Pegel, “Chow Rings of Toric Varieties”, pdf

[Procesi], “The toric variety associated to Weyl chambers”, pdf

The topic of this year is "Macdonald polynomials and ASEP". We will be mainly reading literature related to the following important article:

[CMW] Corteel, Mandelshtam, Williams "From multiline queues to Macdonald polynomials via the exclusion process", Amer. J. Math. 144 (2022), no. 2