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47 results on '"Lauter, Kristin"'

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1. An efficient algorithm for integer lattice reduction

2. Determining the primes of bad reduction of CM curves of genus 3

3. Orientations and cycles in supersingular isogeny graphs

4. Orienteering with one endomorphism

5. A Cryptographic Hash Function from Markoff Triples

6. Adventures in Supersingularland

7. Modular invariants for genus 3 hyperelliptic curves

8. Multiparty Non-Interactive Key Exchange and More From Isogenies on Elliptic Curves

9. Ramanujan graphs in cryptography

10. A bound on the primes of bad reduction for CM curves of genus 3

11. Constructing genus 3 hyperelliptic Jacobians with CM

12. Ring-LWE Cryptography for the Number Theorist

13. Provably weak instances of Ring-LWE

14. Bad reduction of genus $3$ curves with complex multiplication

15. On the quaternion $\ell$-isogeny path problem

16. Genus-2 curves and Jacobians with a given number of points

17. Comparing arithmetic intersection formulas for denominators of Igusa class polynomials

18. An arithmetic intersection formula for denominators of Igusa class polynomials

19. On singular moduli for arbitrary discriminants

20. New methods for bounding the number of points on curves over finite fields

21. A Gross-Zagier formula for quaternion algebras over totally real fields

22. Abelian surfaces admitting an (l,l)-endomorphism

23. Igusa class polynomials, embeddings of quartic CM fields, and arithmetic intersection theory

24. Evaluating Igusa functions

25. Genus 2 Curves with Complex Multiplication

26. Modular polynomials via isogeny volcanoes

27. Explicit CM-theory for level 2-structures on abelian surfaces

28. Modular polynomials for genus 2

29. The elliptic curve discrete logarithm problem and equivalent hard problems for elliptic divisibility sequences

30. Computing Hilbert Class Polynomials

31. Explicit Heegner Points: Kolyvagin's Conjecture and Non-trivial Elements in the Shafarevich-Tate Group

32. Computing endomorphism rings of Jacobians of genus 2 curves over finite fields

33. Evil Primes and Superspecial Moduli

34. Computing Modular Polynomials

35. A CRT algorithm for constructing genus 2 curves over finite fields

36. Class invariants for quartic CM fields

37. Pointless curves of genus three and four

38. Improved Weil and Tate pairings for elliptic and hyperelliptic curves

39. Primes in the denominators of Igusa Class Polynomials

40. Fast Elliptic Curve Arithmetic and Improved Weil Pairing Evaluation

41. Improved upper bounds for the number of points on curves over finite fields

42. The maximum number of points on a curve of genus 4 over F_8 is 25

43. Constructing elliptic curves with a known number of points over a prime field

44. Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields

45. The maximum or minimum number of rational points on curves of genus three over finite fields

46. Determining the primes of bad reduction of CM curves of genus 3

47. Constructing elliptic curves with a known number of points over a prime field

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