SelectedWorks - Adrian Clingher

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Faculty Selected Works of Adrian Clingher

Associate Professor | clinghera@umsl.edu | 314-516-6338

Adrian Clingher of University of Missouri-St. Louis (UMSL) has expertise in Number Theory, Geometry and Topology, Applied Mathematics, Analysis, Logic and Foundations of Mathematics, Statistics, Probability Theory and research interests in Algebraic Geometry and Mathematical Aspects of String Dualities.

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About Adrian Clingher

Adrian Clingher of University of Missouri-St. Louis (UMSL) has expertise in Number Theory, Geometry and Topology, Applied Mathematics, Analysis, Logic and Foundations of Mathematics, Statistics, Probability Theory and research interests in Algebraic Geometry and Mathematical Aspects of String Dualities.

Present	Associate Professor, University of Missouri-St. Louis ‐ Department of Mathematics and Statistics
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Mathematics and Algebraic Geometry

Algebraic Geometry, Mathematical Aspects of String Dualities, Geometry, Mathematical Physics, Data Science, and Machine Learning

2002	PhD, Columbia University ‐ Mathematics
Institution Organization Student Type Student Title Degree Time Period to Options Currently enrolled Affiliate my profile with this Institution

Phone: (314) 516-6338

Fax: (314) 516-5400

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PREPRINT - Nikulin Involutions and the CHL String

Communications in Mathematical Physics (2019)

Adrian Clingher and Andreas Malmendier

We study certain even-eight curve configurations on a specific class of Jacobian elliptic K3 surfaces with lattice polarizations of rank ...

Lorentzian Lattices and E-Polytopes

Symmetry (2018)

Adrian Clingher and Jae-Hyouk Lee

We consider certain En-type root lattices embedded within the standard Lorentzian lattice Z n+1 (3 ≤ n ≤ 8) and ...

PREPRINT - Normal Forms for Kummer Surfaces

arXiv: Algebraic Geometry (2018)

Adrian Clingher and Andreas Malmendier

We determine normal forms for the Kummer surfaces associated with abelian surfaces of polarization of type (1, 1), (1, 2), ...

PREPRINT - Six Line Configurations and String Dualities.

arXiv: Algebraic Geometry (2018)

Adrian Clingher, Andreas Malmendier and Tony Shaska

We study the family of K3 surfaces of Picard rank sixteen associated with the double cover of the projective plane ...

PREPRINT - Special Function Identities From Superelliptic Kummer Varieties

Asian Journal of Mathematics (2017)

Adrian Clingher, Charles F. Doran and Andreas Malmendier

We prove that the factorization of Appell’s generalized hypergeometric series satisfying the so-called quadric property into a product of two ...

[Accepted Article Manuscript Version (Postprint)] The Sen Limit

Advances in Theoretical and Mathematical Physics (2014)

Adrian Clingher, Ron Donagi and Martijn Wijnholt

F -theory compactifications on elliptic Calabi-Yau manifolds may be related to IIb compactifications by taking a certain limit in complex ...

The 14th Case VHS via K3 Fibrations

arXiv: Algebraic Geometry (2013)

Adrian Clingher, Charles F. Doran, Jacob Lewis, Andrey Y. Novoseltsev, et al.

We present a study of certain singular one-parameter subfamilies of Calabi-Yau threefolds realized as anticanonical hypersurfaces or complete intersections in ...

PREPRINT - Note on a Geometric Isogeny of K3 Surfaces

International Mathematics Research Notices (2011)

Adrian Clingher and Charles F. Doran

The paper establishes a correspondence relating two specific classes of complex algebraic K3 surfaces. The first class consists of K3 ...

PREPRINT - Normal Forms, K3 Surface Moduli, and Modular Parametrizations

arXiv: Algebraic Geometry (2007)

A. Clingher, C. F. Doran, J. Lewis and U. Whitcher

The geometric objects of study in this paper are K3 surfaces which admit a polarization by the unique even unimodular ...

Modular Invariants for Lattice Polarized K3 Surfaces

Michigan Mathematical Journal (2007)

Adrian Clingher and Charles F. Doran

On Isogenies Among Certain Abelian Surfaces

The Michigan Mathematical Journal (2022)

Adrian Clingher, Andreas Malmendier and Tony Shaska

We construct a three-parameter family of nonhyperelliptic and bielliptic plane genus-three curves whose associated Prym variety is two-isogenous to the ...

Geometry of Prym Varieties for Special Bielliptic Curves of Genus ...

Pure and Applied Mathematics Quarterly (2021)

Adrian Clingher, Andreas Malmendier and Tony Shaska

We construct two pencils of bielliptic curves of genus three and genus five. The first pencil is associated with a ...

Isogenies of certain K3 surfaces of rank 18

Research in the Mathematical Sciences (2021)

Noah Braeger, Adrian Clingher, Andreas Malmendier and Shantel Spatig

We construct geometric isogenies between three types of two-parameter families of K3 surfaces of Picard rank 18. One is the ...

The duality between F-theory and the heterotic string in D ...

Letters in Mathematical Physics (2020)

Adrian Clingher, Thomas Hill and Andreas Malmendier

We construct non-geometric string compactifications by using the F-theory dual of the heterotic string compactified on a two-torus with two ...

Six Line Configurations and String Dualities

Communications in Mathematical Physics (2019)

Adrian Clingher, A. Malmendier and T. Shaska

Nikulin Involutions and the CHL String

Communications in Mathematical Physics (2019)

Adrian Clingher and Andreas Malmendier

We study certain even-eight curve configurations on a specific class of Jacobian elliptic K3 surfaces with lattice polarizations of rank ...

PREPRINT - Nikulin Involutions and the CHL String

Communications in Mathematical Physics (2019)

Adrian Clingher and Andreas Malmendier

We study certain even-eight curve configurations on a specific class of Jacobian elliptic K3 surfaces with lattice polarizations of rank ...

Lorentzian Lattices and E-Polytopes

Symmetry (2018)

Adrian Clingher and Jae-Hyouk Lee

We consider certain En-type root lattices embedded within the standard Lorentzian lattice Z n+1 (3 ≤ n ≤ 8) and ...

PREPRINT - Normal Forms for Kummer Surfaces

arXiv: Algebraic Geometry (2018)

Adrian Clingher and Andreas Malmendier

We determine normal forms for the Kummer surfaces associated with abelian surfaces of polarization of type (1, 1), (1, 2), ...

PREPRINT - Six Line Configurations and String Dualities.

arXiv: Algebraic Geometry (2018)

Adrian Clingher, Andreas Malmendier and Tony Shaska

We study the family of K3 surfaces of Picard rank sixteen associated with the double cover of the projective plane ...

On the geometry of (1,2)-polarized Kummer surfaces

arXiv: Algebraic Geometry (2017)

Adrian Clingher and Andreas Malmendier

We discuss several geometric features of a Kummer surface associated with a (1, 2)-polarized abelian surface defined over the field ...

PREPRINT - Special Function Identities From Superelliptic Kummer Varieties

Asian Journal of Mathematics (2017)

Adrian Clingher, Charles F. Doran and Andreas Malmendier

We prove that the factorization of Appell’s generalized hypergeometric series satisfying the so-called quadric property into a product of two ...

Contribution to Book

The 14th case VHS via K3 fibrations

Recent advances in Hodge theory : period domains, algebraic cycles, and arithmetic (2016)

Adrian Clingher

[Accepted Article Manuscript Version (Postprint)] The Sen Limit

Advances in Theoretical and Mathematical Physics (2014)

Adrian Clingher, Ron Donagi and Martijn Wijnholt

F -theory compactifications on elliptic Calabi-Yau manifolds may be related to IIb compactifications by taking a certain limit in complex ...

The 14th Case VHS via K3 Fibrations

arXiv: Algebraic Geometry (2013)

Adrian Clingher, Charles F. Doran, Jacob Lewis, Andrey Y. Novoseltsev, et al.

We present a study of certain singular one-parameter subfamilies of Calabi-Yau threefolds realized as anticanonical hypersurfaces or complete intersections in ...