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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.

Branchwidth is (1,g)-self-dual

G. Kontogeorgiou, A. Leivaditis, K.I. Psaromiligkos, G. Stamoulis, D. Zoros. (2024). Discrete Applied Mathematics 350, pp.1-9.

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

Published: July 08, 2022

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