Christian Rose

About Christian Rose

Christian Rose, With an exceptional h-index of 9 and a recent h-index of 8 (since 2020), a distinguished researcher at Universität Potsdam, specializes in the field of Differential Geometry, Functional Analysis, Partial Differential Equations.

His recent articles reflect a diverse array of research interests and contributions to the field:

Unique continuation estimates on manifolds with Ricci curvature bounded below

Anchored heat kernel upper bounds on graphs with unbounded geometry and anti-trees

Integral Ricci curvature and the mass gap of Dirichlet Laplacians on domains

Gaussian upper bounds for heat kernels on graphs with unbounded geometry

Bounds on the First Betti Number: An Approach via Schatten Norm Estimates on Semigroup Differences

Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials

Spectrally positive Bakry-Émery Ricci curvature on graphs

A quantitative Carleman estimate for second-order elliptic operators–ERRATUM

Christian Rose Information

University

Position

___

Citations(all)

184

Citations(since 2020)

167

Cited By

88

hIndex(all)

9

hIndex(since 2020)

8

i10Index(all)

7

i10Index(since 2020)

7

Email

University Profile Page

Google Scholar

Christian Rose Skills & Research Interests

Differential Geometry

Functional Analysis

Partial Differential Equations

Top articles of Christian Rose

Unique continuation estimates on manifolds with Ricci curvature bounded below

arXiv preprint arXiv:2305.06916

2023/5/11

Christian Rose
Christian Rose

H-Index: 6

Martin Tautenhahn
Martin Tautenhahn

H-Index: 9

Anchored heat kernel upper bounds on graphs with unbounded geometry and anti-trees

Calculus of Variations and Partial Differential Equations

2024/1

Matthias Keller
Matthias Keller

H-Index: 15

Christian Rose
Christian Rose

H-Index: 6

Integral Ricci curvature and the mass gap of Dirichlet Laplacians on domains

Mathematische Nachrichten

2023/8

Gaussian upper bounds for heat kernels on graphs with unbounded geometry

arXiv preprint arXiv:2206.04690

2022/6/9

Matthias Keller
Matthias Keller

H-Index: 15

Christian Rose
Christian Rose

H-Index: 6

Bounds on the First Betti Number: An Approach via Schatten Norm Estimates on Semigroup Differences

The Journal of Geometric Analysis

2022/4

Marcel Hansmann
Marcel Hansmann

H-Index: 7

Christian Rose
Christian Rose

H-Index: 6

Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials

J. Differential Equations

2023

Christian Rose
Christian Rose

H-Index: 6

Martin Tautenhahn
Martin Tautenhahn

H-Index: 9

Spectrally positive Bakry-Émery Ricci curvature on graphs

Journal de Mathématiques Pures et Appliquées

2020/11/1

Christian Rose
Christian Rose

H-Index: 6

A quantitative Carleman estimate for second-order elliptic operators–ERRATUM

Proceedings of the Royal Society of Edinburgh Section A: Mathematics

2020/10

Quantitative Sobolev extensions and the Neumann heat kernel for integral Ricci curvature conditions

2020

See List of Professors in Christian Rose University(Universität Potsdam)

Co-Authors

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