507 reputation
211
bio website
location Jyväskylä
age 27
visits member for 2 years, 1 month
seen 21 hours ago

I am a post-doctoral researcher at University of Jyväskylä. My research interest is geometric function theory, analysis on metric spaces and metric geometry.


Oct
8
asked Is this a “new” terminology in homology/cohomology theory?
Oct
4
revised Metric properties of a quadratic differential at an essential singularity
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Oct
4
comment Metric properties of a quadratic differential at an essential singularity
To XieNie: I got your complain now. For a general discrete open mapping with infinite multiplicity, it might be the case that the set where $f$ is big is small. But here the mapping has nice regularity, in particular, the the $x$-part and $y$-part are harmonic, you do have the mean-value formula. This means that the attainced value from the great picard theorem should not have any difference. So it cannot happen the value $f$ is big has too small measure.
Oct
2
comment Metric properties of a quadratic differential at an essential singularity
To Lasse Rempe-Gillien: $f$ cannot be small for an essential singularity, $f$ attains almost every value infinitely many times by the great Picard theorem. What one should keep in mind is that if $f$ does not grow very fast towards the singularity, then the singularity is removable. This fact is also true in higher dimensions as well.
Oct
2
revised Metric properties of a quadratic differential at an essential singularity
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Oct
1
revised Metric properties of a quadratic differential at an essential singularity
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Oct
1
answered Metric properties of a quadratic differential at an essential singularity
Sep
30
comment Gromov's list of 7 constructions in differential topology
I like this note, thanks!
Sep
30
asked Removable sets for simply connectedness of a differentiable manifold
Sep
24
awarded  Autobiographer
Sep
18
awarded  Yearling
Sep
11
awarded  Custodian
Sep
11
reviewed Approve suggested edit on Does the following measurable Halmilton-Jacobian equation admit a Lipschitz solution?
Sep
11
asked Does the following measurable Halmilton-Jacobian equation admit a Lipschitz solution?
Aug
7
accepted On a.e. approximate differentiability of certain continuous real functions
Aug
6
asked On a.e. approximate differentiability of certain continuous real functions
Jul
2
awarded  Curious
Apr
30
comment Is this property equivalent to Lusin's property (N) for continuous functions?
Could you please point out which book of Saks you referred to?
Apr
30
revised A question on density of Lipschitz functions in weighted Sobolev spaces
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Apr
30
comment A question on density of Lipschitz functions in weighted Sobolev spaces
Sorry for the confusion, I changed my notation to a more standard one.