# Jan Manschot

## D-Index & Metrics

Discipline name D-index Citations Publications World Ranking National Ranking
Mathematics D-index 31 Citations 2,885 55 World Ranking 2045 National Ranking 3

## What is he best known for?

### The fields of study he is best known for:

• Quantum mechanics
• Geometry
• Mathematical analysis

Jan Manschot mostly deals with Moduli space, Black hole, Mathematical physics, Quiver and Cohomology. His studies deal with areas such as Flow, Discrete mathematics, Betti number, Theta function and Rank as well as Moduli space. His study focuses on the intersection of Black hole and fields such as Abelian group with connections in the field of Superpotential, Angular momentum, Symplectic geometry, Invariant and Omega.

Jan Manschot studies Supergravity which is a part of Mathematical physics. His research investigates the link between Quiver and topics such as Theoretical physics that cross with problems in Equivariant map and Stack. Cohomology is a subfield of Pure mathematics that he investigates.

### His most cited work include:

• A Farey Tail for Attractor Black Holes (161 citations)
• Wall crossing from Boltzmann black hole halos (158 citations)
• Stability and duality in N=2 supergravity (100 citations)

## What are the main themes of his work throughout his whole career to date?

His scientific interests lie mostly in Moduli space, Pure mathematics, Mathematical physics, Holomorphic function and Modular form. His research integrates issues of Instanton, Supersymmetric gauge theory, Theoretical physics, Quiver and Black hole in his study of Moduli space. His Quiver research incorporates themes from Cohomology, Superpotential and Conjecture.

Omega, Symplectic geometry and Bound state is closely connected to Abelian group in his research, which is encompassed under the umbrella topic of Black hole. The Pure mathematics study combines topics in areas such as Mathematical analysis, Generating function and Algebra. The concepts of his Holomorphic function study are interwoven with issues in Modular invariance, Representation theory, Anomaly and Partition function.

### He most often published in these fields:

• Moduli space (73.91%)
• Pure mathematics (53.26%)
• Mathematical physics (31.52%)

## What were the highlights of his more recent work (between 2018-2021)?

• Gauge theory (14.13%)
• Mathematical physics (31.52%)
• Fundamental domain (5.43%)

### In recent papers he was focusing on the following fields of study:

His primary areas of study are Gauge theory, Mathematical physics, Fundamental domain, Pure mathematics and Coulomb. The various areas that Jan Manschot examines in his Gauge theory study include Twist and Partition function. His Mathematical physics research is multidisciplinary, incorporating elements of Multiplicative function, Gravitation and Gravitational field.

His study in Holomorphic function, Moduli space and Quiver falls under the purview of Pure mathematics. His Holomorphic function research includes themes of Generating function, Canonical bundle, Divisor and Rank. Jan Manschot integrates Moduli space and Derived category in his research.

### Between 2018 and 2021, his most popular works were:

• Vafa-Witten Theory and Iterated Integrals of Modular Forms (14 citations)
• Vafa-Witten invariants from exceptional collections (10 citations)
• S-Duality and Refined BPS Indices (9 citations)

## In his most recent research, the most cited papers focused on:

• Quantum mechanics
• Geometry
• Mathematical analysis

The scientist’s investigation covers issues in Pure mathematics, Moduli space, Holomorphic function, Mock modular form and Rank. Jan Manschot works in the field of Pure mathematics, namely Quiver. As part of the same scientific family, he usually focuses on Quiver, concentrating on Witten index and intersecting with D-brane.

Jan Manschot combines subjects such as Partition function, Anomaly and Gauge group with his study of Mock modular form. He conducts interdisciplinary study in the fields of Gauge group and Complex projective plane through his research. His work deals with themes such as Canonical bundle, Divisor, Brane and Generating function, which intersect with Rank.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

## Best Publications

A Farey Tail for Attractor Black Holes

Jan de Boer;Miranda C.N. Cheng;Robbert Dijkgraaf;Jan Manschot.
Journal of High Energy Physics (2006)

161 Citations

Wall crossing from Boltzmann black hole halos

Jan Manschot;Boris Pioline;Ashoke Sen.
Journal of High Energy Physics (2011)

158 Citations

Stability and duality in N=2 supergravity

Jan Manschot.
arXiv: High Energy Physics - Theory (2009)

152 Citations

A Modern Farey Tail

Jan Manschot;Gregory W. Moore.
(2007)

142 Citations

A fixed point formula for the index of multi-centered N=2 black holes

Jan Manschot;Boris Pioline;Ashoke Sen.
arXiv: High Energy Physics - Theory (2011)

141 Citations

The Betti numbers of the moduli space of stable sheaves of rank 3 on P2

Jan Manschot.
arXiv: Mathematical Physics (2010)

139 Citations

A fixed point formula for the index of multi-centered $\mathcal{N} = 2$ black holes

Jan Manschot;Boris Pioline;Ashoke Sen.
Journal of High Energy Physics (2011)

79 Citations

From black holes to quivers

Jan Manschot;Jan Manschot;Boris Pioline;Boris Pioline;Ashoke Sen.
Journal of High Energy Physics (2012)

78 Citations

A modern fareytail

Jan Manschot;Gregory W. Moore.
Communications in Number Theory and Physics (2010)

78 Citations

Quantum geometry of elliptic Calabi-Yau manifolds

Albrecht Klemm;Jan Manschot;Thomas Wotschke.
Communications in Number Theory and Physics (2012)

75 Citations

## Best Scientists Citing Jan Manschot

### Albrecht Klemm

University of Bonn

Publications: 22

### Thomas Creutzig

University of Alberta

Publications: 11

### Sheldon Katz

University of Illinois at Urbana-Champaign

Publications: 7

Publications: 7

### Stephen S. Kudla

University of Toronto

Publications: 4

Profile was last updated on December 6th, 2021.