Mirela Çiperiani

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All published works

Action	Title	Year	Authors
+ PDF Chat	Shadow line distributions	2024	Jennifer S. Balakrishnan Mirela Çiperiani Barry Mazur Karl Rubin
+	Supersingular elliptic curves over ℤ<sub>𝑝</sub>-extensions	2023	Mirela Çiperiani
+ PDF Chat	Chabauty–Coleman Experiments for Genus 3 Hyperelliptic Curves	2019	Jennifer S. Balakrishnan Francesca Bianchi Victoria Cantoral‐Farfán Mirela Çiperiani Anastassia Etropolski
+	On the Iwasawa main conjectures for modular forms at non-ordinary primes	2018	Francesc Castella Mirela Çiperiani Christopher Skinner Florian Sprung
+	Chabauty-Coleman experiments for genus 3 hyperelliptic curves	2018	Jennifer S. Balakrishnan Francesca Bianchi Victoria Cantoral‐Farfán Mirela Çiperiani Anastassia Etropolski
+ PDF Chat	Shadow Lines in the Arithmetic of Elliptic Curves	2016	Jennifer S. Balakrishnan Mirela Çiperiani J. Lang Bilal Mirza Rachel Newton
+	Shadow lines in the arithmetic of elliptic curves	2016	Jennifer S. Balakrishnan Mirela Çiperiani Jaclyn Lang Bahare Mirza Rachel Newton
+ PDF Chat	Local to global trace questions and twists of genus one curves	2015	Mirela Çiperiani Ekin Özman
+ PDF Chat	Galois sections for abelian varieties over number fields	2015	Mirela Çiperiani Jakob Stix
+	$p$-adic heights of Heegner points and $\Lambda $-adic regulators	2014	Jennifer S. Balakrishnan Mirela Çiperiani William Stein
+ PDF Chat	Weil–Châtelet divisible elements in Tate–Shafarevich groups II: On a question of Cassels	2013	Mirela Çiperiani Jakob Stix
+ PDF Chat	Weil–Châtelet divisible elements in Tate–Shafarevich groups I: The Bashmakov problem for elliptic curves over	2013	Mirela Çiperiani Jakob Stix
+ PDF Chat	Relative Brauer groups of genus 1 curves	2012	Mirela Çiperiani Daniel Krashen
+ PDF Chat	Tate–Shafarevich groups in anticyclotomic ℤ<sub><i>p</i></sub>-extensions at supersingular primes	2009	Mirela Çiperiani
+	Solvable points on genus one curves	2008	Andrew Wiles Mirela Çiperiani
+	Relative Brauer groups of genus 1 curves	2007	Mirela Çiperiani Daniel Krashen
+	Relative Brauer groups of genus 1 curves	2007	Mirela Çiperiani Daniel Krashen

Common Coauthors

Coauthor	Papers Together
Jennifer S. Balakrishnan	6
Jakob Stix	3
Daniel Krashen	3
Rachel Newton	2
Anastassia Etropolski	2
Victoria Cantoral‐Farfán	2
Francesca Bianchi	2
Andrew Wiles	1
Bilal Mirza	1
Jaclyn Lang	1
Florian Sprung	1
J. Lang	1
William Stein	1
Ekin Özman	1
Barry Mazur	1
Karl Rubin	1
Bahare Mirza	1
Christopher Skinner	1
Francesc Castella	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Mazur’s conjecture on higher Heegner points	2002	Christophe Cornut	5
+	Special values of anticyclotomic $L$-functions	2003	Vinayak Vatsal	5
+	Solvable points on genus one curves	2008	Andrew Wiles Mirela Çiperiani	4
+	Iwasawa theory for elliptic curves at supersingular primes	2003	Shin-ichi Kobayashi	4
+	Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques	1971	Jean-Pierre Serre	4
+ PDF Chat	Fonctions $L$ $p$-adiques, théorie d'Iwasawa et points de Heegner	1987	Bernadette Perrin-Riou	4
+	Selmer groups and Heegner points in anticyclotomic $\mathbb {Z}_p$-extensions	1995	Massimo Bertolini	3
+	On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises	2001	Christophe Breuil Brian Conrad Fred Diamond Richard Taylor	3
+	Modular Elliptic Curves and Fermat's Last Theorem	1995	Andrew Wiles	3
+	Heegner points and derivatives ofL-series	1986	Benedict H. Gross Don Zagier	3
+	Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung.	1962	J. W. S. Cassels	3
+	Nonvanishing Theorems for Automorphic L-Functions on GL(2)	1995	Solomon Friedberg Jeffrey Hoffstein	3
+	Kolyvagin's work for modular elliptic curves	1991	Benedict H. Gross	3
+	Algebras of odd degree with involution, trace forms and dihedral extensions	1996	Darrell Haile Max-Albert Knus Markus Rost Jean-Pierre Tignol	2
+	OnL-functions of elliptic curves and cyclotomic towers	1984	David E. Rohrlich	2
+	The Period-Index Problem for Elliptic Curves	1968	Stephen Lichtenbaum	2
+	Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture	2012	Jakob Stix	2
+	Introduction to Algebraic Geometry.	1960	Alice T. Schafer Serge Lang	2
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	2
+ PDF Chat	Ranks of twists of elliptic curves and Hilbert’s tenth problem	2010	Barry Mazur Karl Rubin	2
+ PDF Chat	Dihedral algebras are cyclic	1982	Louis Rowen David J. Saltman	2
+	Introduction to Iwasawa theory for elliptic curves	2008	Ralph Greenberg	2
+	Kolyvagin's descent and Mordell-Weil groups over ring class fields.	1990	Massimo Bertolini Henri Darmon	2
+ PDF Chat	Local-global divisibility of rational points in some commutative algebraic groups	2001	Roberto Dvornicich Umberto Zannier	2
+	The ?main conjectures? of iwasawa theory for imaginary quadratic fields	1991	Karl Rubin	2
+	Arithmetic Duality Theorems	1987	J. S. Milne	2
+	Lectures on Division Algebras	1999	David J. Saltman	2
+	ON ${p}$-ADIC HEIGHTS IN FAMILIES OF ELLIPTIC CURVES	2004	Christian Wüthrich	2
+	The Period-Index Obstruction for Elliptic Curves	2002	Catherine O’Neil	2
+ PDF Chat	Index Reduction for Brauer Classes via Stable Sheaves	2008	Daniel Krashen Max Lieblich	2
+	Cohomology of Number Fields	2008	Jürgen Neukirch Alexander Schmidt Kay Wingberg	2
+	THE COHOMOLOGY OF ABELIAN VARIETIES OVER A NUMBER FIELD	1972	M. I. Bashmakov	2
+ PDF Chat	Computation of $p$-adic heights and log convergence	2006	Barry Mazur William Stein John Tate	2
+	Euler Systems	2007	V. A. Kolyvagin	2
+ PDF Chat	Iwasawa theory of elliptic curves at supersingular primes over ℤ p -extensions of number fields	2006	Adrian Iovita Robert Pollack	2
+ PDF Chat	Tate–Shafarevich groups in anticyclotomic ℤ<sub><i>p</i></sub>-extensions at supersingular primes	2009	Mirela Çiperiani	2
+ PDF Chat	Modular curves and the eisenstein ideal	1977	Barry Mazur	2
+	$p$-adic heights of Heegner points and $\Lambda $-adic regulators	2014	Jennifer S. Balakrishnan Mirela Çiperiani William Stein	1
+	Some remarks on Heegner point computations	2005	Mark E. Watkins	1
+	Algorithms for Modular Elliptic Curves	1992	J. E. Cremona	1
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	1
+	An Introduction to Arithmetic Groups	2007	Christophe Soulé	1
+	Torsion points on elliptic curves andq-coefficients of modular forms	1992	S. Kamienny	1
+ PDF Chat	Explicit Coleman Integration for Hyperelliptic Curves	2010	Jennifer S. Balakrishnan Robert Bradshaw Kiran S. Kedlaya	1
+	Selmer Ranks of Quadratic Twists of Elliptic Curves	2011	Zev Klagsbrun	1
+	The weight in Serre's conjectures on modular forms	1992	Bas Edixhoven	1
+	Nonvanishing theorems for L-functions of modular forms and their derivatives	1990	Daniel Bump Solomon Friedberg Jeffrey Hoffstein	1
+ PDF Chat	Lectures on elliptic curves	1992	J. W. S. Cassels	1
+ PDF Chat	Splitting of Algebras by Function Fields of One Variable	1966	Peter Roquette	1
+	The work of kolyvagin on the arithmetic of elliptic curves	1989	Karl Rubin	1