Research Output per year

## Fingerprint Dive into the research topics where Anne Kirsten Eisentraeger is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 3 Similar Profiles

Hilbert's Tenth Problem
Mathematics

Function Fields
Mathematics

Number field
Mathematics

Elliptic Curves
Mathematics

Positive Characteristic
Mathematics

Subring
Mathematics

Isogeny
Mathematics

Weil Pairing
Mathematics

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Network
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## Research Output 2003 2019

## Cycles in the Supersingular ℓ-Isogeny Graph and Corresponding Endomorphisms

Bank, E., Camacho-Navarro, C., Eisenträger, K., Morrison, T. & Park, J., Jan 1 2019,*Association for Women in Mathematics Series.*Springer, p. 41-66 26 p. (Association for Women in Mathematics Series; vol. 19).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Isogeny

Endomorphisms

Cycle

Graph in graph theory

Endomorphism Ring

8
Citations
(Scopus)

## Supersingular isogeny graphs and endomorphism rings: reductions and solutions

Eisenträger, K., Hallgren, S., Lauter, K., Morrison, T. & Petit, C., Jan 1 2018,*Advances in Cryptology - EUROCRYPT 2018 - 37th Annual International Conference on the Theory and Applications of Cryptographic Techniques, 2018 Proceedings.*Nielsen, J. B. & Rijmen, V. (eds.). Springer Verlag, p. 329-368 40 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 10822 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Isogeny

Hash functions

Endomorphism Ring

Algebra

Maximal Order

1
Citation
(Scopus)

## Universally and existentially definable subsets of global fields

Eisenträger, K. & Morrison, T., Jan 1 2018, In : Mathematical Research Letters. 25, 4, p. 1173-1204 32 p.Research output: Contribution to journal › Article

Subset

Ring

Integer

Function Fields

Number field

1
Citation
(Scopus)

## As easy as ℚ: Hilbert’s tenth problem for subrings of the rationals and number fields

Eisenträger, K., Miller, R., Park, J. & Shlapentokh, A., Jan 1 2017, In : Transactions of the American Mathematical Society. 369, 11, p. 8291-8315 25 p.Research output: Contribution to journal › Article

Number theory

Subring

Number field

Turing

Ring

## Hilbert's Tenth Problem over function fields of positive characteristic not containing the algebraic closure of a finite field

Eisenträger, K. & Shlapentokh, A., Jan 1 2017, In : Journal of the European Mathematical Society. 19, 7, p. 2103-2138 36 p.Research output: Contribution to journal › Article

Hilbert's Tenth Problem

Positive Characteristic

Function Fields

Galois field

Closure