The 2018 Fields Medal has been awarded....

  • Context: Graduate 
  • Thread starter Thread starter Wrichik Basu
  • Start date Start date
  • Tags Tags
    Fields
Click For Summary

Discussion Overview

The discussion revolves around the 2018 Fields Medal recipients, highlighting their achievements and backgrounds. Participants share insights into the significance of their work, personal stories, and the implications of their early academic successes.

Discussion Character

  • Exploratory
  • Debate/contested
  • Historical

Main Points Raised

  • Participants list the 2018 Fields Medal winners and their contributions to mathematics, including work on Fano varieties, optimal transport, perfectoid spaces, and analytic number theory.
  • Some participants discuss Peter Scholze's rapid academic progression, noting his early start in university and quick rise to full professorship.
  • One participant raises a comparison to Charles Fefferman's record as a full professor at age 22, questioning if Scholze or others might surpass this achievement.
  • Several participants express interest in Caucher Birkar's background story, emphasizing the challenges he faced and his journey to success.
  • Links to official videos and playlists of lectures by the award winners are shared, indicating a desire to engage with their work further.
  • There is a general admiration for the early commitment and clarity of purpose exhibited by the award winners in their academic pursuits.

Areas of Agreement / Disagreement

Participants express admiration for the achievements of the Fields Medal winners, but there is no consensus on the implications of their backgrounds or the comparison of academic trajectories. The discussion remains open-ended regarding the significance of these achievements.

Contextual Notes

Some discussions reference personal backgrounds and achievements without fully exploring the mathematical implications of the awardees' work. There is also a lack of detailed technical analysis of the contributions mentioned.

Who May Find This Useful

Readers interested in the achievements of mathematicians, the significance of the Fields Medal, and personal stories of overcoming adversity in academia may find this discussion engaging.

Wrichik Basu
Science Advisor
Insights Author
Gold Member
Messages
2,186
Reaction score
2,694
The 2018 Fields Medal has been awarded to:

Caucher Birkar

birkar.jpg


For the proof of the boundedness of Fano varieties and for contributions to the minimal model program.

Alessio Figalli

figalli.jpg


For contributions to the theory of optimal transport and its applications in partial differential equations, metric geometry and probability.

Peter Scholze

scholze_1.jpeg


For transforming arithmetic algebraic geometry over p-adic fields through his introduction of perfectoid spaces, with application to Galois representations, and for the development of new cohomology theories.

Akshay Venkatesh

Venkatesh.jpg


For his synthesis of analytic number theory, homogeneous dynamics, topology, and representation theory, which has resolved long-standing problems in areas such as the equidistribution of arithmetic objects.

The Web page is here.
 

Attachments

  • Venkatesh.jpg
    Venkatesh.jpg
    16.5 KB · Views: 662
  • scholze_1.jpeg
    scholze_1.jpeg
    9.5 KB · Views: 1,149
  • figalli.jpg
    figalli.jpg
    19.1 KB · Views: 749
  • birkar.jpg
    birkar.jpg
    33.9 KB · Views: 904
  • Like
Likes   Reactions: ISamson, OmCheeto, anorlunda and 10 others
Mathematics news on Phys.org
Wrichik Basu said:
Peter Scholze
He was discussed as strong candidate before. His CV is ... fast. Went to university at age 19 (that is common in Germany). Finished his BSc in 1.5 years and the MSc in one more. Finished his PhD at age 24 and directly became a full professor - already a well-known expert in the field at that time. Now he is 30 and one of the directors of a research institute.
https://en.wikipedia.org/wiki/Peter_Scholze
 
  • Like
Likes   Reactions: coffeebird, OmCheeto, anorlunda and 4 others
I wonder if anyone will ever beat the record of Charles Fefferman who became full professor of math at University of Chicago at 22. Of course he won the Fields medal.
 
mfb said:
He was discussed as strong candidate before. His CV is ... fast. Went to university at age 19 (that is common in Germany). Finished his BSc in 1.5 years and the MSc in one more. Finished his PhD at age 24 and directly became a full professor - already a well-known expert in the field at that time. Now he is 30 and one of the directors of a research institute.
https://en.wikipedia.org/wiki/Peter_Scholze

I can't even understand one term in this video title :biggrin:
 
  • Like
Likes   Reactions: coffeebird and dlgoff
Here are the official videos for each winner



 
  • Like
Likes   Reactions: coffeebird, OmCheeto, kith and 3 others
The following playlists have the lectures by the award winners. I'll upload them to the PF media gallery soon. Till then, you may have a look at the playlists:

Caucher Birkar:

https://www.youtube.com/playlist?list=PL9m2Lkh6odgIBfvn2fzGeZoPGGGuOTHhr

Alessio Figalli:

https://www.youtube.com/playlist?list=PL9m2Lkh6odgJmEIEjKDWNNxnYadELDu-F

Peter Scholze:

https://www.youtube.com/playlist?list=PL9m2Lkh6odgIvh2JDIMT5kLV5RxlyB6L2

Akshay Venkatesh:

https://www.youtube.com/playlist?list=PL9m2Lkh6odgKbrhFqEJ7rTm_Hr9tSBtKP
 
  • Like
Likes   Reactions: coffeebird and Greg Bernhardt
  • Like
Likes   Reactions: atyy
It really is amazing too see these guys know what they want to do with their life at an early age and then commit to it. Have all that time to develop their knowledge baggage and synthesize new techniques. Awesome stuff.
 
  • Like
Likes   Reactions: Greg Bernhardt

Similar threads

  • · Replies 33 ·
2
Replies
33
Views
9K
  • · Replies 39 ·
2
Replies
39
Views
7K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K