P. Dimakis

activity

20172026

most citedCombinatorial Wall-Crossing and the Mullineux Involution

5 citations · 7 across the 12 of their papers we have counts for

collaborators

16 papers

math.NT2026

Pointwise improvement of the error term in the higher rank hyperbolic lattice counting problem

Dimitrios Chatzakos, Panagiotis Dimakis, Christos Katsivelos

We prove an upper bound for the error term in the higher rank hyperbolic lattice counting problem for $SL (n, Z)$ . Blomer and Lutsko achieved recently a significan…

math.DG2026

Discreteness of real $SL_{n}$ -opers

Panagiotis Dimakis, Richard Wentworth

We prove that the set of real $SL_{n}$ -opers forms a discrete subset of the moduli space of irreducible flat connections.

math.SP2026

Off-diagonal bounds for spectral projector kernels

Panagiotis Dimakis

We study the growth of the spectral function of the Laplace-Beltrami operator on a Riemannian manifold $M$ of dimension $n$ . For $n \geq 3$ we show that for any $x \in M$ there is a…

math.NT2026

Square root cancellation in the hyperbolic lattice counting problem over cocompact groups

Dimitrios Chatzakos, Panagiotis Dimakis

For cocompact Fuchsian groups $Γ \leq PSL (2, R)$ we improve Selberg's bound for the error term of the counting function in the hyperbolic lattice counting problem, a…

math.AG2026

The conformal limit for Nakajima quiver varieties

Sotiria Chatzimarkou, Panagiotis Dimakis

Inspired by Gaiotto's conformal limit construction for Higgs bundles we define and study a conformal limit construction for Nakajima quiver varieties. We prove that the conformal l…

math.AG2026

Lagrangian correspondences for moduli spaces of Higgs bundles and holomorphic connections

Panagiotis Dimakis, Duong Dinh, Shengjing Xu

On a compact connected Riemann surface $C$ of genus at least $2$ , we construct Lagrangian correspondences between moduli spaces of rank- $n$ Higgs bundles (respectively, holomorphic…

math.DG2024

Asymptotic geometry at infinity of quiver varieties

Panagiotis Dimakis, Frédéric Rochon

Using an approach developed by Melrose to study the geometry at infinity of the Nakajima metric on the reduced Hilbert scheme of points on $C^{2}$ , we show that the Nakajima…

math.DG2024

On a conjecture of Simpson

Panagiotis Dimakis, Sebastian Schulz

On a compact Riemann surface $Σ$ of genus $g \geq 2$ , equipped with a complex vector bundle $E$ of rank $2$ and degree zero let $M_{H}$ be the moduli space of Higgs bundles. $M_{H}$ admi…

math.DG2024

The moduli space of solutions to the Extended Bogomolny equations on $Σ \times R_{+}$

Panagiotis Dimakis

We study moduli spaces of solutions to the extended Bogomolny equations on $Σ \times R_{+, y}$ with gauge group $SL (2, C)$ satisfying the generalized…

math-ph2022

The extended Bogomolny equations on $R^{2} \times R^{+}$ I: Nilpotent Higgs field

Panagiotis Dimakis

We study the extended Bogomolny equations with gauge group $S U (2)$ on $R^{2} \times R^{+}$ with generalized Nahm pole boundary conditions and nilpotent Higgs field.…

math-ph2022

Model knot solutions for the twisted Bogomolny equations

Panagiotis Dimakis

In this paper we prove existence for model knot solutions to the dimensionally reduced twisted Kapustin-Witten equations on $R_{+}^{3}$ for any twisting parameter $t\in(0,\inf…

math.KT2020

Equivariant K-theory and Resolution II: Non-Abelian actions

Panagiotis Dimakis, Richard Melrose

The smooth action of a compact Lie group on a compact manifold can be resolved to an iterated space, as made explicit by Pierre Albin and the second author. On the resolution the l…

math.DG2019

Compactification of semi-simple Lie groups

Pierre Albin, Panagiotis Dimakis, Richard Melrose +1

We discuss the `hd-compactification' of a semi-simple Lie group to a manifold with corners; it is the real analog of the wonderful compactification of deConcini and Procesi. There…

math.GR2018

Compactification of SL(2)

Pierre Albin, Panagiotis Dimakis, Richard Melrose

We discuss `hd-compactifications' of $\SL(2,\bbK)$ for $\bbK=\bbC$ or $R .$ These are compact manifolds with boundary on which both the Schwartz and the Harish-Chandra Schwartz s…

math.AT2018★ 2 cited

Equivariant K-theory and Resolution I: Abelian actions

Panagiotis Dimakis, Richard Melrose

The smooth action of a compact Lie group on a compact manifold can be resolved to an iterated space, as made explicit by Pierre Albin and the second author. On the resolution the l…

math.CO2017★ 5 cited

Combinatorial Wall-Crossing and the Mullineux Involution

Panagiotis Dimakis, Guangyi Yue

In this paper, we define the combinatorial wall-crossing transformation and the generalized column regularization on partitions and prove that a certain composition of these two tr…

Pointwise improvement of the error term in the higher rank hyperbolic lattice counting problem

Discreteness of real SLn​-opers

Off-diagonal bounds for spectral projector kernels

Square root cancellation in the hyperbolic lattice counting problem over cocompact groups

The conformal limit for Nakajima quiver varieties

Lagrangian correspondences for moduli spaces of Higgs bundles and holomorphic connections

Asymptotic geometry at infinity of quiver varieties

On a conjecture of Simpson

The moduli space of solutions to the Extended Bogomolny equations on Σ×R+​

The extended Bogomolny equations on R2×R+ I: Nilpotent Higgs field

Model knot solutions for the twisted Bogomolny equations

Equivariant K-theory and Resolution II: Non-Abelian actions

Compactification of semi-simple Lie groups

Compactification of SL(2)

Equivariant K-theory and Resolution I: Abelian actions

Combinatorial Wall-Crossing and the Mullineux Involution

Discreteness of real $SL_{n}$ -opers

The moduli space of solutions to the Extended Bogomolny equations on $Σ \times R_{+}$

The extended Bogomolny equations on $R^{2} \times R^{+}$ I: Nilpotent Higgs field