Ekin Özman

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All published works

Action	Title	Year	Authors
+ PDF Chat	Non-trivial Integer Solutions of $x^r+y^r=Dz^p$	2024	Yasemin Kara Diana Mocanu Ekin Özman
+	Iterated monodromy group of a PCF quadratic non-polynomial map	2024	Özlem Ejder Yasemin Kara Ekin Özman
+	Computing quadratic points on modular curves 𝑋₀(𝑁)	2023	Nikola Adžaga Timo Keller Philippe Michaud‐Jacobs Filip Najman Ekin Özman Borna Vukorepa
+	Computing quadratic points on modular curves $X_0(N)$	2023	Nikola Adžaga Timo Keller Philippe Michaud‐Jacobs Filip Najman Ekin Özman Borna Vukorepa
+	Iterated Monodromy Group of a PCF Quadratic Non-polynomial Map	2023	Özlem Ejder Yasemin Kara Ekin Özman
+	On ternary Diophantine equations of signature over number fields	2022	Erman IŞIK Yasemin Kara Ekin Özman
+ PDF Chat	THE BOUNDARY OF THE <i>p</i>-RANK STRATUM OF THE MODULI SPACE OF CYCLIC COVERS OF THE PROJECTIVE LINE	2022	Ekin Özman Rachel Pries Colin Weir
+	On Ternary Diophantine Equations of Signature $(p,p,3)$ over Number Fields	2022	Erman Isik Yasemin Kara Ekin Özman
+ PDF Chat	S-unit equations and the asymptotic Fermat conjecture over number fields	2021	Ekin Özman Samir Siksek
+ PDF Chat	The Hasse Norm Principle in Global Function Fields	2021	Adelina Mânzăţeanu Rachel Newton Ekin Özman Nicole Sutherland Rabia Gülşah Uysal
+	On ternary Diophantine equations of signature(p,p,2)over number fields	2020	Erman IŞIK Yasemin Kara Ekin Özman
+	A bound on the primes of bad reduction for CM curves of genus 3	2020	Pınar Kılıçer Kristin Lauter Elisa Lorenzo García Rachel Newton Ekin Özman Marco Streng
+	$S$-Unit Equations and the Asymptotic Fermat Conjecture over Number Fields	2020	Ekin Özman Samir Siksek
+	The Hasse Norm Principle in Global Function Fields	2020	Adelina Mânzăţeanu Rachel Newton Ekin Özman Nicole Sutherland Rabia Gülşah Uysal
+ PDF Chat	Asymptotic generalized Fermat’s last theorem over number fields	2019	Yasemin Kara Ekin Özman
+	Asymptotic Generalized Fermat's Last Theorem over Number Fields	2019	Yasemin Kara Ekin Özman
+	Rational points on twisted modular curves	2019	Ekin Özman
+ PDF Chat	Ordinary and almost ordinary Prym varieties	2019	Ekin Özman Rachel Pries
+	Asymptotic Generalized Fermat's Last Theorem over Number Fields	2019	Yasemin Kara Ekin Özman
+	The boundary of the $p$-rank $0$ stratum of the moduli space of cyclic covers of the projective line	2019	Ekin Özman Rachel Pries Colin Weir
+	Quadratic points on modular curves	2018	Ekin Özman Samir Siksek
+	Quadratic Points on Modular Curves	2018	Ekin Özman Samir Siksek
+ PDF Chat	Non-ordinary Curves with a Prym Variety of Low p-Rank	2018	Türkü Özlüm Çelik Yara Elias Burçi̇n Güneş Rachel Newton Ekin Özman Rachel Pries Lara Thomas
+	Quadratic Points on Modular Curves	2018	Ekin Özman Samir Siksek
+ PDF Chat	Unramified Brauer Classes on Cyclic Covers of the Projective Plane	2017	Colin Ingalls Andrew Obus Ekin Özman Bianca Viray Hugh Thomas
+	Non-ordinary curves with a Prym variety of low $p$-rank	2017	Türkü Özlüm Çelik Yara Elias Burçi̇n Güneş Rachel Newton Ekin Özman Rachel Pries Lara Thomas
+	p-ranks of Prym Varieties	2017	Ekin Özman
+ PDF Chat	Ring-LWE Cryptography for the Number Theorist	2016	Yara Elias Kristin Lauter Ekin Özman Katherine E. Stange
+	The Distribution of 𝔽<sub><i>q</i></sub>-Points on Cyclic ℓ-Covers of Genus<i>g</i>	2015	Alina Bucur Chantal David Brooke Feigon Nathan O. Kaplan Matilde Laĺın Ekin Özman Melanie Matchett Wood
+	Ring-LWE Cryptography for the Number Theorist	2015	Yara Elias Kristin Lauter Ekin Özman Katherine E. Stange
+ PDF Chat	Local to global trace questions and twists of genus one curves	2015	Mirela Çiperiani Ekin Özman
+	On the existence of ordinary and almost ordinary Prym varieties	2015	Ekin Özman Rachel Pries
+	Ordinary and almost ordinary Prym varieties	2015	Ekin Özman Rachel Pries
+	Provably weak instances of Ring-LWE	2015	Yara Elias Kristin Lauter Ekin Özman Katherine E. Stange
+ PDF Chat	Bad Reduction of Genus Three Curves with Complex Multiplication	2015	Irene I. Bouw Jenny Cooley Kristin Lauter Elisa Lorenzo García Michelle Manes Rachel Newton Ekin Özman
+	The Distribution of Fq-Points on Cyclic -Covers of Genus g	2015	Alina Bucur Chantal David Brooke Feigon Nathan O. Kaplan Ekin Özman Melanie Matchett Wood
+	Ring-LWE Cryptography for the Number Theorist	2015	Yara Elias Kristin Lauter Ekin Özman Katherine E. Stange
+	Provably weak instances of Ring-LWE	2015	Yara Elias Kristin Lauter Ekin Özman Katherine E. Stange
+	Ordinary and almost ordinary Prym varieties	2015	Ekin Özman Rachel Pries
+	The distribution of $\mathbb{F}_q$-points on cyclic $\ell$-covers of genus $g$	2015	Alina Bucur Chantal David Brooke Feigon Nathan O. Kaplan Matilde Laĺın Ekin Özman Melanie Matchett Wood
+	Bad reduction of genus $3$ curves with complex multiplication	2014	Irene I. Bouw Jenny Cooley Kristin Lauter Elisa Lorenzo García Michelle Manes Rachel Newton Ekin Özman
+	On polyquadratic twists of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2013	Ekin Özman
+ PDF Chat	Newton Polygons for a Variant of the Kloosterman Family	2013	Rebecca Bellovin Sharon Anne Garthwaite Ekin Özman Rachel Pries Cassandra Williams Hui June Zhu
+	Unramified Brauer classes on cyclic covers of the projective plane	2013	Colin Ingalls Andrew Obus Ekin Özman Bianca Viray
+	On Polyquadratic Twists of X_0(N)	2012	Ekin Özman
+	Points on quadratic twists of X<sub>0</sub>(N)	2012	Ekin Özman
+	On Polyquadratic Twists of X_0(N)	2012	Ekin Özman
+	Newton polygons for a variant of the Kloosterman family	2012	Rebecca Bellovin Sharon Anne Garthwaite Ekin Özman Rachel Pries Cassandra Williams Hui June Zhu
+	Semi-direct Galois covers of the affine line	2011	Linda Gruendken Laura Hall-Seelig Bo‐Hae Im Ekin Özman Rachel Pries Katherine Stevenson
+	Semi-Direct Galois Covers of the Affine Line	2011	Linda Gruendken Laura Hall-Seelig Bo‐Hae Im Ekin Özman Rachel Pries Katherine Stevenson
+	Local Points on Quadratic Twists of X_0(N)	2009	Ekin Özman
+	Semi-direct Galois covers of the affine line	2009	Linda Gruendken Laura Hall-Seelig Bo‐Hae Im Ekin Özman Rachel Pries Katherine L. Stevenson

Common Coauthors

Coauthor	Papers Together
Rachel Pries	13
Yasemin Kara	9
Kristin Lauter	8
Yara Elias	7
Rachel Newton	7
Samir Siksek	5
Katherine E. Stange	5
Linda Gruendken	3
Bo‐Hae Im	3
Elisa Lorenzo García	3
Melanie Matchett Wood	3
Laura Hall-Seelig	3
Nathan O. Kaplan	3
Chantal David	3
Brooke Feigon	3
Alina Bucur	3
Burçi̇n Güneş	2
Nicole Sutherland	2
Hui June Zhu	2
Türkü Özlüm Çelik	2
Erman IŞIK	2
Sharon Anne Garthwaite	2
Özlem Ejder	2
Jenny Cooley	2
Nikola Adžaga	2
Andrew Obus	2
Rebecca Bellovin	2
Colin Weir	2
Colin Ingalls	2
Irene I. Bouw	2
Adelina Mânzăţeanu	2
Katherine Stevenson	2
Philippe Michaud‐Jacobs	2
Bianca Viray	2
Borna Vukorepa	2
Matilde Laĺın	2
Michelle Manes	2
Timo Keller	2
Filip Najman	2
Rabia Gülşah Uysal	2
Lara Thomas	2
Hugh Thomas	1
Diana Mocanu	1
Katherine L. Stevenson	1
Cassandra Williams	1
Erman Isik	1
Cassandra Williams	1
Pınar Kılıçer	1
Marco Streng	1
Mirela Çiperiani	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Modular curves and the eisenstein ideal	1977	Barry Mazur	6
+ PDF Chat	Complete subvarieties of moduli spaces and the Prym map	2004	Carel Faber Gerard van der Geer	5
+	Intersection theory on algebraic stacks and on their moduli spaces	1989	Angelo Vistoli	5
+ PDF Chat	Monodromy of the p-Rank Strata of the Moduli Space of Curves	2008	Jeffrey D. Achter Rachel Pries	5
+ PDF Chat	On lattices, learning with errors, random linear codes, and cryptography	2009	Oded Regev	5
+ PDF Chat	A construction of polynomials with squarefree discriminants	2012	Kiran S. Kedlaya	5
+ PDF Chat	Fermat’s last theorem over some small real quadratic fields	2015	Nuno Freitas Samir Siksek	5
+	ℚ-Curves and Galois Representations	2004	Jordan S. Ellenberg	4
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	4
+ PDF Chat	The Mordell–Weil sieve: proving non-existence of rational points on curves	2010	Nils Bruin Michael Stoll	4
+	Torsion points on elliptic curves andq-coefficients of modular forms	1992	S. Kamienny	4
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	4
+	Rational isogenies of prime degree	1978	Barry Mazur Dorian Goldfeld	4
+	Number Theory in Function Fields	2002	Michael Rosen	4
+ PDF Chat	The asymptotic Fermat’s Last Theorem for five-sixths of real quadratic fields	2015	Nuno Freitas Samir Siksek	4
+ PDF Chat	On the asymptotic Fermat’s last theorem over number fields	2018	Mehmet Haluk Şengün Samir Siksek	4
+	Local -global problems and the Brauer -Manin obstruction.	1999	Victor Scharaschkin	3
+ PDF Chat	Bielliptic Curves and Symmetric Products	1991	Joe Harris Joe H. Silverman	3
+ PDF Chat	On Fermat’s equation over some quadratic imaginary number fields	2018	George C. Ţurcaş	3
+	Algebraic geometry and arithmetic curves	2003	Qing Liu	3
+	On modular representations of $$(\bar Q/Q)$$ arising from modular forms	1990	Kenneth A. Ribet	3
+ PDF Chat	The Hasse principle and the Brauer-Manin obstruction for curves	2004	E. V. Flynn	3
+ PDF Chat	Traces of high powers of the Frobenius class in the hyperelliptic ensemble	2010	Zeév Rudnick	3
+ PDF Chat	The p-rank strata of the moduli space of hyperelliptic curves	2011	Jeffrey D. Achter Rachel Pries	3
+	Character Sums with Exponential Functions and their Applications	1999	Sergeĭ Konyagin Igor E. Shparlinski	3
+ PDF Chat	On the probabilities of local behaviors in abelian field extensions	2009	Melanie Matchett Wood	3
+ PDF Chat	On the generalized Fermat equation over totally real fields	2016	Heline Deconinck	3
+ PDF Chat	Chabauty for symmetric powers of curves	2009	Samir Siksek	3
+ PDF Chat	Torsion points on elliptic curves over number fields of small degree	2023	Maarten Derickx S. Kamienny William Stein Michael Stoll	3
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman	3
+ PDF Chat	The Distribution of the Number of Points on Trigonal Curves over 𝔽q	2012	Melanie Matchett Wood	3
+ PDF Chat	Torsion points on elliptic curves defined over quadratic fields	1988	M. A. Kenku Fumiyuki Momose	3
+	Product Sets of Rationals, Multiplicative Translates of Subgroups in Residue Rings, and Fixed Points of the Discrete Logarithm	2008	Jean Bourgain Sergeĭ Konyagin Igor E. Shparlinski	3
+	Revisiting Schur's bound on the largest singular value	2007	Vladimir Nikiforov	3
+	Bornes pour la torsion des courbes elliptiques sur les corps de nombres	1996	Lo x EF c Merel	3
+	About Euclidean rings	1971	Samuel Pierre	3
+	Sur les représentations modulaires de degré 2 de Gal(Q¯/Q)	1987	Jean-Pierre Serre	3
+	Idempotent relations and factors of Jacobians	1989	Ernst Kani Michael Rosen	3
+	Subvarieties of moduli spaces	1974	Frans J. Oort	3
+	On the density of discriminants of cyclic extensions of prime degree	2002	Henri Cohen Fredéric Diaz Michel Olivier	3
+	On Ideal Lattices and Learning with Errors over Rings	2010	Vadim Lyubashevsky Chris Peikert Oded Regev	3
+ PDF Chat	None	2001	Irene I. Bouw	3
+	Families of supersingular abelian surfaces	1987	Toshiyuki Katsura Frans J. Oort	3
+	Smooth analysis of the condition number and the least singular value	2010	Terence Tao Van Vu	3
+ PDF Chat	AN "ANTI-HASSE PRINCIPLE" FOR PRIME TWISTS	2008	Pete L. Clark	3
+	Distribution of Discriminants of Abelian Extensions	1989	D. J. Wright	3
+ PDF Chat	Hyperelliptic modular curves and isogenies of elliptic curves over quadratic fields	2015	Peter Bruin Filip Najman	3
+	Singularities of the moduli space of level curves	2012	A Chiodo Gavril Farkas	2
+ PDF Chat	Syzygies of torsion bundles and the geometry of the level ℓ modular variety over $\overline{\mathcal{M}}_{g}$	2012	A Chiodo David Eisenbud Gavril Farkas Frank–Olaf Schreyer	2
+	Equations for modular curves	1996	Steven D. Galbraith	2