David Jao

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All published works

Action	Title	Year	Authors
+	Supersingular Isogeny Diffie-Hellman	2025	David Jao
+	Elliptic Curve Isogenies	2025	David Jao
+	On the Semidirect Discrete Logarithm Problem in Finite Groups	2024	Christopher Battarbee Giacomo Borin Ryann Cartor Nadia Heninger David Jao Delaram Kahrobaei Laura Maddison Edoardo Persichetti Angela Robinson Daniel Smith-Tone
+	Generating Supersingular Elliptic Curves over $$\mathbb {F}_p$$ with Unknown Endomorphism Ring	2024	Youcef Mokrani David Jao
+	Elliptic Curve Isogenies	2021	David Jao
+	Supersingular Isogeny Diffie-Hellman	2021	David Jao
+	A Post-Quantum Digital Signature Scheme Based on Supersingular Isogenies.	2017	Youngho Yoo Reza Azarderakhsh Amir Jalali David Jao Vladimir Soukharev
+	Fast Software Implementations of Bilinear Pairings	2015	Reza Azarderakhsh Dieter Fishbein Gurleen Grewal Hu Shi David Jao Patrick Longa Rajeev Verma
+ PDF Chat	Constructing elliptic curve isogenies in quantum subexponential time	2013	Andrew M. Childs David Jao Vladimir Soukharev
+	Isogenies in a quantum world	2011	David Jao
+ PDF Chat	A Subexponential Algorithm for Evaluating Large Degree Isogenies	2010	David Jao Vladimir Soukharev
+	Expander graphs based on GRH with an application to elliptic curve cryptography	2009	David Jao Stephen D. Miller Ramarathnam Venkatesan
+ PDF Chat	Do All Elliptic Curves of the Same Order Have the Same Difficulty of Discrete Log?	2005	David Jao Stephen D. Miller Ramarathnam Venkatesan
+ PDF Chat	Supersingular primes for points on <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>p</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>	2004	David Jao
+	Ramanujan Graphs and the Random Reducibility of Discrete Log on Isogenous Elliptic Curves	2004	David Jao Stephen D. Miller Ramarathnam Venkatesan

Common Coauthors

Coauthor	Papers Together
Ramarathnam Venkatesan	3
Stephen D. Miller	3
Vladimir Soukharev	3
Reza Azarderakhsh	2
Delaram Kahrobaei	1
Angela Robinson	1
Andrew M. Childs	1
Laura Maddison	1
Edoardo Persichetti	1
Gurleen Grewal	1
Patrick Longa	1
Rajeev Verma	1
Amir Jalali	1
Youngho Yoo	1
Ryann Cartor	1
Rainer Steinwandt	1
Dieter Fishbein	1
Giacomo Borin	1
Daniel Smith-Tone	1
Hu Shi	1
Nadia Heninger	1
Youcef Mokrani	1
Christopher Battarbee	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Endomorphisms of abelian varieties over finite fields	1966	John Tate	5
+	The Arithmetic of Elliptic Curves	2009	Joseph H. Silverman	5
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	4
+	Isogeny Volcanoes and the SEA Algorithm	2002	Mireille Fouquet François Morain	4
+	Die Typen der Multiplikatorenringe elliptischer Funktionenkörper	1941	Max Deuring	4
+	SeaSign: Compact Isogeny Signatures from Class Group Actions	2019	Luca De Feo Steven D. Galbraith⋆	3
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	3
+ PDF Chat	Cryptographic Hash Functions from Expander Graphs	2007	Denis Charles Kristin Lauter Eyal Z. Goren	3
+	Expander graphs based on GRH with an application to elliptic curve cryptography	2009	David Jao Stephen D. Miller Ramarathnam Venkatesan	3
+	Topics in Classical Automorphic Forms	1997	Henryk Iwaniec	3
+ PDF Chat	Riemann’s zeta function and beyond	2003	Stephen Gelbart Stephen D. Miller	2
+	Algebraic Number Theory	1994	Serge Lang	2
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	2
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	2
+ PDF Chat	A Probabilistic Factorization Algorithm with Quadratic Forms of Negative Discriminant	1987	Martin Seysen	2
+	Fibre Systems of Jacobian Varieties: (III. Fibre Systems of Elliptic Curves)	1959	Jun-ichi Igusa	2
+ PDF Chat	Isogeny volcanoes	2013	Andrew V. Sutherland	2
+ PDF Chat	Do All Elliptic Curves of the Same Order Have the Same Difficulty of Discrete Log?	2005	David Jao Stephen D. Miller Ramarathnam Venkatesan	2
+ PDF Chat	Computing modular polynomials in quasi-linear time	2009	Andreas Enge	2
+	La conjecture de Weil. I	1974	Pierre Deligne	2
+ PDF Chat	Explicit bounds for primes in residue classes	1996	Eric Bach Jonathan Sorenson	2
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	2
+	Ramanujan graphs	1988	Alexander Lubotzky Ralph S. Phillips Peter Sarnak	2
+ PDF Chat	A probabilistic factorization algorithm with quadratic forms of negative discriminant	1987	Martin Seysen	2
+	Research Directions in Number Theory	2019	Jennifer S. Balakrishnan Amanda Folsom Matilde Laĺın Michelle Manes	2
+	Quaternäre quadratische Formen und die Riemannsche Vermutung fÜr die Kongruenzzetafunktion	1954	Martin Eichler	2
+	Conductance and the rapid mixing property for Markov chains: the approximation of permanent resolved	1988	Mark Jerrum Alistair Sinclair	2
+	Elementary Number Theory, Group Theory and Ramanujan Graphs	2001	Giuliana P. Davidoff Peter Sarnak Alain Valette	2
+	Zeros of principal L-functions and random matrix theory	1996	Zeév Rudnick Peter Sarnak	2
+ PDF Chat	Constructing public-key cryptographic schemes based on class group action on a set of isogenous elliptic curves	2010	Anton Stolbunov	2
+ PDF Chat	Fast algorithms for computing isogenies between elliptic curves	2008	Alin Bostan François Morain Bruno Salvy Éric Schost	2
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman	2
+ PDF Chat	A Subexponential-Time Quantum Algorithm for the Dihedral Hidden Subgroup Problem	2005	Greg Kuperberg	2
+ PDF Chat	Ramanujan graphs and Hecke operators	1990	Arnold Pizer	2
+	Public-Key Cryptosystem Based on Isogenies.	2006	Alexander Rostovtsev Anton Stolbunov	2
+	Random Cayley graphs and expanders	1994	Noga Alon Yuval Roichman	2
+ PDF Chat	Factoring Integers with Elliptic Curves	1987	H. W. Lenstra	2
+	Problems in Analytic Number Theory	2008	M. Ram Murty	2
+ PDF Chat	Computing the endomorphism ring of an ordinary elliptic curve over a finite field	2009	Gaetan Bisson Andrew V. Sutherland	2
+	A Subexponential Time Algorithm for the Dihedral Hidden Subgroup Problem with Polynomial Space	2004	Oded Regev	2
+ PDF Chat	Explicit bounds for primality testing and related problems	1990	Eric Bach	2
+ PDF Chat	A Taxonomy of Pairing-Friendly Elliptic Curves	2009	David Mandell Freeman Michael Scott Edlyn Teske	2
+ PDF Chat	Explicit Bounds for Primality Testing and Related Problems	1990	Eric Bach	2
+	Some Applications of Modular Forms	1990	Peter Sarnak	2
+	On The Complexity Of Matrix Group Problems I	1984	László Babai Endre Szemerédi	1
+	The arithmetic of elliptic curves	1974	John Tate	1
+ PDF Chat	Attractive Subfamilies of BLS Curves for Implementing High-Security Pairings	2011	Craig Costello Kristin Lauter Michael Naehrig	1
+	Advanced Topics in Computational Number Theory	2011	Henri Cohen	1
+	Quantum algorithms for solvable groups	2001	John Watrous	1
+ PDF Chat	Abelian varieties over finite fields	1969	William C. Waterhouse	1