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Level 3 · Ph.D

Ph.D Advanced Algorithms & Data Structures

Software · Live · v0

Doctoral algorithms research — full proofs, algorithm engineering, and original, reproducible experimental contributions.

Path type

Software

Requirements

MSc Advanced Algorithms & Data Structures

Enrollment

€19.95

Deadline

Next cohort starts 2027-09-06 (AY 2027/28)

Length

+1 year · 56 phases

Language

English · Español

Content freshness

Curriculum updated 2026-08-22 · content rev 4d29de31

Cortex Credits (CC)

280 CC
What are Cortex Credits?

Syllabus

View the phase syllabus

0. Bridge & research foundations: from engineer to researcher
1. Analysis at depth
2. Probability for algorithms
3. Lower bounds
4. Models of computation
5. Experimental algorithmics
6. Self-adjusting structures
7. Randomized structures
8. Advanced priority queues
9. Advanced hashing
10. Range-query & offline structures
11. Persistent data structures
12. Succinct data structures
13. Suffix structures at depth
14. Advanced string algorithms
15. Randomized algorithms I
16. Randomized algorithms II
17. Approximation algorithms I
18. Approximation algorithms II
19. Online algorithms
20. Streaming algorithms I
21. Streaming algorithms II
22. Sketching & dimensionality
23. Advanced shortest paths
24. Maximum flow at depth
25. Min-cost flow & assignment
26. Matchings
27. Dynamic graph algorithms
28. Graph decompositions
29. Planar & structured graphs
30. Geometric primitives & convex hulls
31. Sweep-line & proximity
32. Voronoi diagrams & Delaunay triangulation
33. Range searching & geometric optimization
34. Algebraic & number-theoretic algorithms
35. NP-completeness at research depth
36. Parameterized complexity I
37. Parameterized complexity II
38. Fine-grained complexity
39. Exact exponential algorithms & DP optimization
40. Counting & inapproximability
41. SAT solvers as research tools
42. The I/O model
43. External search structures
44. Cache-oblivious algorithms
45. Parallel & distributed algorithms
46. Concurrent data structures
47. Integer & word-RAM algorithmics
48. Algorithm engineering at research grade
49. Research methodology
50. Reproduce & adversarially review
51. Writing algorithms research
52. Proposing the capstone
53. Capstone I: execute the research
54. Capstone II: the verified publication
55. Frontier & close

Syllabus →

Enrolment prerequisites

• A verified account and admissions-committee approval.
• Completion of MSc Advanced Algorithms & Data Structures.