Mathematics Database

• “The database of L-functions, modular forms and related objects”. http://www.lmfdb.org/

• “The Graded Ring Database of algebraic varieties” http://www.grdb.co.uk/

• “The Knot atlas” http://katlas.org/

• "The now-famous 473 million hypersurfaces in toric varieties from reflexive 4-polytopes and the resulting Calabi-Yau database born from Kreuzer-Skarke in the mid-1990s."  http://hep.itp.tuwien.ac.at/~kreuzer/CY/

• Database libary https://mathdb.mathhub.info/

• Tables of Kazhdan-Lusztig Polynomials https://www.math.ias.edu/~goresky/tables.html

• Some unpublished notes https://wstein.org/sga/circle/unpubtexts.php.html

• Rudin's solution  https://math.berkeley.edu/~gbergman/ug.hndts/#Rudin

• An Infinite Descent into Pure Mathematics  https://infinitedescent.xyz/

Interesting Viewpoints

• Louis Crane's great paper on categorical geometry

Classics

1. Éléments de géométrie algébrique ("Elements of Algebraic Geometry") by Alexander Grothendieck (assisted by Jean Dieudonné) 

Community translation effort(https://github.com/ryankeleti/ega)

2. Pursuing Stacks by Alexander Grothendieck - "https://arxiv.org/abs/2111.01000" 

3. Récoltes et Semailles by Alexander Grothendieck - "https://web.ma.utexas.edu/users/slaoui/notes/recoltes_et_semailles.pdf"

Some places to wander 

• Geometry and Representation Theory at home - updated periodically 

• UK-Japan Winter Schools  - updated yearly

• Simons Center for Geometry and Physics Video Portal 

• Stony Brook Mathematics Video Archive

• Simons Collaboration on Global Categorical Symmetries 

• Lecture Videos for Igor Frenkel's 60th Birthday Conference 

• A conference on the occasion of Takeshi Saito's 60th birthday 

• Mathematics, history, and philosophy of infinitesimals

• Open Access Texts

Mathematician YouTuber

1. 3Blue1Brown 

2. The Abel Prize 

3. Aleph 0

4. The Archimedeans 

5. Bootstrap Collaboration 

6. Canal de Centro de Investigación en Matemáticas 

7. Clay Mathematics Institute 

8. CUPS - Cambridge University Physics Society 

9. Dr. Thomaths 

10. Fields Institute 

11. Graduate Mathematics 

12. Harvard CMSA 

13. Harvard Math 

14. Hausdorff Center for Mathematics 

15. Insights into Mathematics 

16. Institut des Hautes Études Scientifiques (IHÉS)

17. Institute of the Mathematical Sciences of the Americas 

18. Institute for Advanced Study 

19. International Centre for Theoretical Sciences

20. Joint Mathematics Meetings 

21. Kurzgesagt – In a Nutshell  

22. Linvo說宇宙 

23. Mark Shoemaker

24. Mathemaniac 

25. Mathematical Physics School 

26. 妈咪说MommyTalk 

27. National Museum of Mathematics

28. Numberphile 

29. Oxford Mathematics

30. PBS Space Time 

31. PoincareDuality 

32. Quanta Magazine 

33. Richard E. BORCHERDS  

34.  The Royal Institution 

35. ScienceClic English 

36. The Shaw Prize 

37. Simons Collaboration on Homological Mirror Symmetry

38. Stanford

39. Stony Brook Mathematics

40. Sydney Mathematical Research Institute - SMRI 

41. UGA Topology Seminar 

42. Veritasium 

43. WHCGP 

44. xuan-gottfried YANG 

Chosen by Mathematics

These videos touched my heart when they fresh appeared while I was writing my PhD thesis.