Adrian Clingher
Professor of Mathematics
Department of Mathematics and Statistics
University of Missouri - St. Louis


Publications and Preprints  (last edited November 2024)

25. K3 Surfaces and Orthogonal Modular Forms
with A. Malmendier and B. Williams
37 pages, submitted
pdf.
24. On Projective K3 Surfaces X with Aut(X)=(Z/2Z)^2
with A. Malmendier and X. Roulleau
Indiana Univ. Math. Journal, accepted (2024)
pdf.
23. On Two-Elementary K3 Surfaces with Finite Automorphisnm Group
with A. Malmendier and F. Poon
33 pages, submitted
pdf
22. On K3 Surfaces of Picard Rank 14
with A. Malmendier
Mathematische Nachrichten, accepted (2023)

  pdf.

21. On Neron-Severi Lattices of Jacobian Elliptic K3 Surfaces
with A. Malmendier
Manuscripta Mathematica, Vol. 273, Issue 3-4 (2024)
pdf
20. Jacobian Elliptic Fibrations on the Generalized Inose Quartic of Picard Rank Sixteen
with T. Hill and  A. Malmendier
Albanian Journal of Mathematics, Vol. 17, Issue 1 (2023)
 
19. On the Duality of F-Theory and the CHL String in Seven Dimensions
with A. Malmendier
Communications in Mathematical Physics, Vol. 393, Issue 2 (2022)

pdf.

18. On Isogenies Among Certain Abelian Varieties
with A. Malmendier and T. Shaska
Michigan Mathematical Journal,  Vol. 71, Issue 2 (2022)

pdf.

17. Geometry of Prym Varieties for Special Bielliptic Curves of Genus Three and Five
with A. Malmendier and T. Shaska
Pure and Applied Mathematics Quarterly, Vol 17, Issue 5 (2021)
pdf.
16. Isogenies of Certain K3 Surfaces of Rank 18
with N. Braeger, A. Malmendier and S. Spatig
Research In Mathematical Sciences,  Vol. 8, Issue 57 (2021)
pdf.
15. The Duality Between F-Theory and the Heterotic String in D=8 with Two Wilson Lines
with T. Hill and A. Malmendier
Letters in Mathematical Physics, Vol. 110 (2020)
pdf.
14. Normal Forms for Kummer Surfaces
with A. Malmendier
Integrable Systems and Algebraic Geometry
London Mathematical Society Lecture Notes, vol. 459 (2020)


13. Six Line Configurations and String Dualities
with A. Malmendier and T. Shaska
Communications in Mathematical Physics, Vol. 371, Issue 1 (2019)
pdf.
12. Nikulin Involutions and the CHL String
with A. Malmendier
Communications in Mathematical Physics, Vol. 370,  Issue 3 (2019)
    
pdf.
11. Lorenzian Lattices and E-Polytopes
with J-H. Lee
Symmetry, Vol. 10, Issue 10 (2018)
pdf.
10. Special Function Identities from Superelliptic Kummer Varieties
with C. Doran and A. Malmendier
Asian Journal of Mathematics, Vol 21, Issue 5 (2017)
pdf
9. The 14th Case VHS via K3 Fibrations
with C. Doran, J. Lewis, A. Novoseltsev and A. Thompson
Recent Advances in Hodge Theory: Period Domains, Algebraic Cycles and Arithmetic,
London Mathematical Society Lecture Notes, vol. 427 (2016)

pdf
8. The Sen Limit
with R. Donagi and M. Wijnholt
Advances in Theoretical and Mathematical Physics, Vol. 18, Issue 3 (2014)

7. Lattice Polarized K3 Surfaces and Siegel Modular Forms
with C. Doran
Advances in Mathematics, Vol. 231, Issue 1 (2012).

6. Note on a Geometric Isogeny of K3 Surfaces
with C. Doran
International Mathematics Research Notices, Vol. 2011, Issue 16 (2011).

  pdf
5. Normal Forms, K3 Surface Moduli, and Modular Parametrizations
with C. Doran, J. Lewis and U. Whitcher.
Groups and Symmetries: From Neolithic Scots to John McKay,
CRM-AMS Proceedings and Lecture Notes, Vol. 47 (2009).
pdf
4. Modular Invariants for Lattice Polarized K3 Surfaces
with C. Doran.
Michigan Mathematical Journal, Vol. 55, Issue 2 (2007).
pdf
3. On K3 Surfaces with Large Complex Structure
with C. Doran.
Advances in Mathematics, Vol. 215, Issue 2 (2007).
pdf
2. Heterotic String Data and Theta Functions
Advances in Theoretical and Mathematical Physics, Vol 9, Issue 2, (2005).
pdf
1. Mathematics Aspects of F-Theory/Heterotic String Duality in Eight Dimensions
with J. W. Morgan.
Communications in Mathematical Physics, Vol. 254, Issue 3, (2005).
pdf