32

Answers
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5
Understanding Adjointness of Sheaves in Algebraic Geometry
3
Uniqueness of analytic continuation in rigid analytic geometry
3
What does this quotient of the upper half plane parametrize?
2
Fourier expansion of Eisenstein series at various cusps
2
Visualizing the l-adic fractal in the partition function p(n)
3
Lifting invertible functions on a divisor to ambient affine variety
9
moduli interpretations for modular curves
4
2nd eigenvalues for cusp forms for $\Gamma_0(4)$
5
Uniqueness of modular functions with a certain $q$-expansion
1
how to prove that localisation preserves Hom’s
6
Order of vanishing at the cusps for the modular theta function
2
Zariski closures of one parameter additive maps in positive characteristic
6
Motivation behind defining the Ramification Divisor
1
Left and right representations
5
What are your favorite instructional counterexamples?
5
Which conjectures only need the Grand Riemann Hypothesis to become genuine theorems?
10
Applications of full integral weight modular forms in elementary number theory
5
Hartshorne’s associated scheme for a variety
4
Do coarse moduli spaces respect Galois actions?
3
Binomial coefficients and derivatives of modular forms
8
Are there ‘analytic’ $p$-adic modular forms.
2
semisimplicity of p-adic Galois representations
3
What do poles of differentials on a curve mean?
5
What is the high-concept explanation on why real numbers are useful in number theory?
5
Bounded denominators for modular forms
10
Why is p=2 special, if we want to classify cplx. representation of GL2(Zp)?
6
Is there a reason why integrals are so much easier to evaluate than sums?
31
Why nilpotent elements must be allowed in modern algebraic geometry? (2)
7
Modular interpretation of an action of the linear group SL_2 on the cohomology of an elliptic curve
10
Verifying coefficients of modular forms
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