Konstantin Jakob

activity

20162026

most citedClassification of Rigid Irregular

G_{2}

-Connections

4 citations · 13 across the 9 of their papers we have counts for

collaborators

10 papers

math.AG2026

Algebraic loops, braids, and tropicalization

Konstantin Jakob, Masoud Kamgarpour, Ian Le +1

Let $Y$ be a smooth complex algebraic variety. We develop a tropical framework for studying algebraic loops, i.e., free homotopy classes in $Y^{an}$ associated with formal…

math.AG2024

Counting absolutely indecomposable $G$ -bundles

Konstantin Jakob, Zhiwei Yun

For a reductive group $G$ over a finite field $k$ , and a smooth projective curve $X / k$ , we give a motivic counting formula for the number of absolutely indecomposable $G$ -bundles o…

math.AG2024

Stokes phenomenon of Kloosterman and Airy connections

Andreas Hohl, Konstantin Jakob

We define categories of Stokes filtered and Stokes graded $G$ -local systems for reductive groups $G$ and use the formalism of Tannakian categories to show that they are equivalent…

math.AG2023

A Deligne-Simpson problem for irregular $G$ -connections over $P^{1}$

Konstantin Jakob, Zhiwei Yun

We give an algebraic and a geometric criterion for the existence of $G$ -connections on $P^{1}$ with prescribed irregular type with equal slope at $\infty$ (isoclinic) and…

math.AG2021★ 2 cited

Airy sheaves for reductive groups

Konstantin Jakob, Masoud Kamgarpour, Lingfei Yi

We construct a class of $ℓ$ -adic local systems on $A^{1}$ that generalizes the Airy sheaves defined by N. Katz to reductive groups. These sheaves are finite field analogu…

math.AG2021★ 3 cited

Stokes matrices for Airy equations

Andreas Hohl, Konstantin Jakob

We compute Stokes matrices for generalised Airy equations and prove that they are regular unipotent (up to multiplication with the formal monodromy). This class of differential equ…

math.AG2020★ 3 cited

Euphotic representations and rigid automorphic data

Konstantin Jakob, Zhiwei Yun

We propose a new method to construct rigid $G$ -automorphic representations and rigid $G$ -local systems for reductive groups $G$ . The construction involves the notion of e…

math.AG2020

Irregular Hodge numbers for rigid $G_{2}$ -connections

Konstantin Jakob, Stefan Reiter

Certain rigid irregular $G_{2}$ -connections constructed by the first-named author are related via pullbacks along a finite covering and Fourier transform to rigid local systems on a…

math.AG2018★ 1 cited

Wildly Ramified Rigid $G_{2}$ -Local Systems

Konstantin Jakob

In earlier work of the author rigid irregular connections with differential Galois group $G_{2}$ and whose slopes have numerator $1$ were classified and new rigid connections were co…

math.AG2016★ 4 cited

Classification of Rigid Irregular $G_{2}$ -Connections

Konstantin Jakob

Using the Katz-Arinkin algorithm we give a classification of irreducible rigid irregular connections on a punctured $P_{C}^{1}$ having differential Galois group $G_…

Algebraic loops, braids, and tropicalization

Counting absolutely indecomposable G-bundles

Stokes phenomenon of Kloosterman and Airy connections

A Deligne-Simpson problem for irregular G-connections over P1

Airy sheaves for reductive groups

Stokes matrices for Airy equations

Euphotic representations and rigid automorphic data

Irregular Hodge numbers for rigid G2​-connections

Wildly Ramified Rigid G2​-Local Systems

Classification of Rigid Irregular G2​-Connections

Counting absolutely indecomposable $G$ -bundles

A Deligne-Simpson problem for irregular $G$ -connections over $P^{1}$

Irregular Hodge numbers for rigid $G_{2}$ -connections

Wildly Ramified Rigid $G_{2}$ -Local Systems

Classification of Rigid Irregular $G_{2}$ -Connections