3,010 reputation
926
bio website iazd.uni-hannover.de/…
location Hanover, Germany
age 28
visits member for 4 years
seen 8 hours ago

I am a postdoc at the Leibniz Universität Hannover. I do arithmetic geometry and analytic number theory.


Apr
17
accepted Is any quadric birational to a product of Brauer-Severi varieties?
Apr
17
comment Is any quadric birational to a product of Brauer-Severi varieties?
Thanks to everyone for the answers. Unfortunately I can only accept one.
Apr
17
comment Is any quadric birational to a product of Brauer-Severi varieties?
Nice argument, thanks René!
Apr
17
answered Circle method on things other than the integers
Apr
16
comment Is any quadric birational to a product of Brauer-Severi varieties?
Even though it doesn't answer the question, it is still very interesting to know, thanks! I wonder if this is "the" relationship between Brauer-Severi and quadrics, rather than the relationship of the kind I asked for in my question.
Apr
16
comment Explicit bound on $\sum_{N\mathfrak p \leq x}\chi(\mathfrak p)\ln(N\mathfrak p)$
I think I see, so you want some explicit upper bound which says $\sum_{N\mathfrak{p} \leq x} \chi(\mathfrak{p}) \leq \textrm{something}$ for all sufficiently large $x$? Can you explain what $n$ is in your big $O$? Also I ask again, do you know a bound of the shape you want in the case where $K = \mathbb{Q}$?
Apr
16
asked Is any quadric birational to a product of Brauer-Severi varieties?
Apr
16
comment Explicit bound on $\sum_{N\mathfrak p \leq x}\chi(\mathfrak p)\ln(N\mathfrak p)$
Can you explain a bit more what you require? For example there clearly are effective bounds for the sum $\sum_{N\mathfrak{p} \leq x} \chi(\mathfrak{p})$, such as $x/(\log x)$, however I'm guessing that you want something stronger. How strong a bound do you require? Is there some bound you know that holds in the case where $K=\mathbb{Q}$, and you want to know whether it holds in the general case? The bound you have given looks like it is effective, as in your notation there is no implied constant and all the dependencies on the number field and character are there. What else do you require?
Apr
14
comment Is the group of rational points of an anisotropic absolutely quasi-simple algebraic group over a non-archimedean local field known to be perfect?
Have you tried looking at the book: Platonov, Rapinchuk, Rowen - Algebraic groups and number theory ? I seem to recall that they study the structure of the group of points of algebraic groups over various fields of arithmetic interest.
Apr
14
comment Is the group of rational points of an anisotropic absolutely quasi-simple algebraic group over a non-archimedean local field known to be perfect?
Do you know an example where this holds?
Apr
14
revised Is the group of rational points of an anisotropic absolutely quasi-simple algebraic group over a non-archimedean local field known to be perfect?
Added ag and nt tags
Apr
11
awarded  Enlightened
Apr
11
awarded  Nice Answer
Apr
10
revised Hasse principle and Brauer-Manin obstruction for forms of large degree
edited body
Apr
10
revised Hasse principle and Brauer-Manin obstruction for forms of large degree
deleted 105 characters in body
Apr
10
answered Hasse principle and Brauer-Manin obstruction for forms of large degree
Apr
9
comment Domains with prime ideal theorems
Also search for "zeta functions of groups and rings".
Apr
2
awarded  Yearling
Mar
11
answered Automorphisms of a smooth quadric surface $Q\subset\mathbb{P}^{3}$
Feb
28
revised Higher dimensional analogue of Thue's equation
deleted 139 characters in body