Why is Hilbert not the last universalist?

[Ssnow]

comes close to being a universalist as well.

Weyl was not only a mathematician, his interests ranged from physics to philosophy. Surely he has made many contributions in mathematical, especially in the field on quantization (''Weyl quantization'') and in group theory. Anyway I think it is far from becoming a Universalist (in mathematics) like his ''big'' predecessors ...

 

[Auto-Didact]

Weyl was not only a mathematician, his interests ranged from physics to philosophy. Surely he has made many contributions in mathematical, especially in the field on quantization (''Weyl quantization'') and in group theory. Anyway I think it is far from becoming a Universalist (in mathematics) like his ''big'' predecessors ...

I am basing my stance of him coming close to universalism off of the biographical memoir of Weyl by Michael Atiyah.

 

[martinbn]

Weyl was not only a mathematician, his interests ranged from physics to philosophy. Surely he has made many contributions in mathematical, especially in the field on quantization (''Weyl quantization'') and in group theory. Anyway I think it is far from becoming a Universalist (in mathematics) like his ''big'' predecessors ...

What exactly does he miss? Which area has he not contributed to?

 

[Ssnow]

What exactly does he miss? Which area has he not contributed to?

for example respect to Poincaré I don't know relevant works in analysis or complex analysis,differential equations, applied mathematics as celestial mechanics, elasticity, caos theory ...
In Poincaré I can see a greater variation of contributions on various branches of mathematics that I cannot see in Weyl ...

 

[Ssnow]

What exactly does he miss? Which area has he not contributed to?

for example respect to Poincaré I don't know relevant works in analysis or complex analysis,differential equations, applied mathematics as celestial mechanics, elasticity, caos theory ...
In Poincaré I can see a greater variation of contributions on various branches of mathematics that I cannot see in Weyl ...

 

[Ssnow]

sorry, I saw now that I posted two times the same answer and I cannot cancel one of them, somebody know how to cancel a post after long time ...

 

[Auto-Didact]

for example respect to Poincaré I don't know relevant works in analysis or complex analysis,differential equations, applied mathematics as celestial mechanics, elasticity, caos theory ...
In Poincaré I can see a greater variation of contributions on various branches of mathematics that I cannot see in Weyl ...

Now, to me at least, Weyl obviously is no Poincaré (imo Poincaré is the greatest of his era). This however does not detract from Weyl's massive contributions across numerous fields.

In mathematics, Weyl has done important work in singular differential equations, integral equations, number theory, convex bodies, the general theory of the representations and invariants of the classical Lie groups, the theory of self-adjoint operators, spectral theory, Riemann surfaces, analysis, algebra, topology, differential geometry and the foundations of mathematics, among many others.

In physics, he has done both ground-breaking and foundational work in spacetime theory, group theory in quantum mechanics, local spinor structures for curved spacetime, CPT symmetry and, perhaps most importantly, the invention of gauge theory.

 

[Ssnow]

In my previous post was not my intention to reduce the figure of Weyl that obviously remains one of the most influential in the world of mathematics, what I mean is that it is impossible to compare the two figures as Poincaré and Weyl for many reasons ... summarize it is the same to compare two stars that belong to different planetary systems ...
Ssnow