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research
Acyclic Edge Coloring through the Lovász Local Lemma
I. Giotis, L. Kirousis, K.I. Psaromiligkos and D.M. Thilikos. (2017). Theoretical Computer Science 665, pp.50-60.
Directed Lovász local lemma and Shearer’s lemma
L. Kirousis, J. Livieratos, K.I. Psaromiligkos. (2020). Annals of Mathematics and Artificial Intelligence 88 (1), pp.133-155.
Character sheaves in characteristic $p$ have nilpotent singular support
In 1988, Mirkovic and Vilonen and independently Ginzburg proved that, in characteristic $0$, a $G$-equivariant irreducible perverse sheaf is a character sheaf if and only if it has nilpotent singular support. In this paper, we prove that character sheaves have nilpotent singular support in any characteristic.
Kostas I Psaromiligkos. (2022). https://arxiv.org/abs/2211.11126
Lafforgue variety and irreducibility of induced representations
We construct the Lafforgue variety, an affine variety parametrizing the simple modules of a non-commutative algebra $R$ for which the center $Z(R)$ is finitely generated and $R$ is finite as a $Z(R)$-module. Using our construction in the case of Hecke algebras, we provide a characterization for irreducibility of induced representations via the vanishing of a generalized discriminant. We explicitly compute this discriminant in the case of an Iwahori-Hecke algebra. We construct well-behaved maps from the Lafforgue variety to Solleveld’s extended quotient and in the case $R$ is a complex finite type algebra to the primitive ideal spectrum.
Kostas I. Psaromiligkos. (2022). https://arxiv.org/abs/2211.11834
talks
Geometry of $p$-adic representations Permalink
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This is a talk I gave on the Lafforgue variety. The slides are here.
teaching
Autumn 2019
Elementary Calculus I (Math 131)
Winter 2020
Elementary Calculus II (Math 132)
Autumn 2020
Linear Algebra (Math 196)
Spring 2021
Mathematical Methods for Social Sciences (Math 195)
Autumn 2021
Calculus III (Math 153)
Winter 2022
Calculus III (Math 153)
Autumn 2022
Calculus II (Math 152)