Publications and
Preprints
(last edited November 2024)
25. K3 Surfaces and Orthogonal Modular Forms with A. Malmendier and B. Williams 37 pages, submitted |
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24. On Projective K3 Surfaces X with
Aut(X)=(Z/2Z)^2 with A. Malmendier and X. Roulleau Indiana Univ. Math. Journal, accepted (2024) |
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23. On Two-Elementary K3 Surfaces with Finite
Automorphisnm Group with A. Malmendier and F. Poon 33 pages, submitted |
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22. On K3 Surfaces of Picard
Rank
14 with A. Malmendier Mathematische Nachrichten, accepted (2023) |
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21. On
Neron-Severi Lattices of Jacobian Elliptic K3 Surfaces with A. Malmendier Manuscripta Mathematica, Vol. 273, Issue 3-4 (2024) |
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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) |
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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) |
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18. On
Isogenies Among Certain Abelian Varieties with A. Malmendier and T. Shaska Michigan Mathematical Journal, Vol. 71, Issue 2 (2022) |
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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) |
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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) |
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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) |
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14. Normal
Forms for Kummer Surfaces with A. Malmendier Integrable Systems and Algebraic Geometry London Mathematical Society Lecture Notes, vol. 459 (2020) |
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13. Six
Line Configurations and String Dualities with A. Malmendier and T. Shaska Communications in Mathematical Physics, Vol. 371, Issue 1 (2019) |
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12. Nikulin
Involutions and the CHL String with A. Malmendier Communications in Mathematical Physics, Vol. 370, Issue 3 (2019) |
pdf.
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11. Lorenzian Lattices and E-Polytopes with J-H. Lee Symmetry, Vol. 10, Issue 10 (2018) |
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10. Special
Function Identities from Superelliptic Kummer Varieties with C. Doran and A. Malmendier Asian Journal of Mathematics, Vol 21, Issue 5 (2017) |
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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) |
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8. The
Sen Limit with R. Donagi and M. Wijnholt Advances in Theoretical and Mathematical Physics, Vol. 18, Issue 3 (2014) |
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7. Lattice Polarized
K3 Surfaces
and Siegel Modular Forms with C. Doran Advances in Mathematics, Vol. 231, Issue 1 (2012). |
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6. Note
on a Geometric Isogeny
of K3 Surfaces with C. Doran International Mathematics Research Notices, Vol. 2011, Issue 16 (2011). |
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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). |
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4. Modular
Invariants for Lattice Polarized K3 Surfaces with C. Doran. Michigan Mathematical Journal, Vol. 55, Issue 2 (2007). |
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3. On
K3 Surfaces with Large Complex Structure with C. Doran. Advances in Mathematics, Vol. 215, Issue 2 (2007). |
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2. Heterotic
String Data and Theta Functions Advances in Theoretical and Mathematical Physics, Vol 9, Issue 2, (2005). |
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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). |