Stack Exchange

Alex Youcis

Tokyo, Japan

https://alex-youcis.github.io/

I am a JSPS fellow working at the University of Tokyo. My interests are mainly in the Langlands program and surrounding areas of arithmetic geometry.

I also have a blog here and a website here.

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Top Questions
466 votes

Best Sets of Lecture Notes and Articles

self-learning big-list learning online-resources asked Feb 13 '13 at 9:15
math.stackexchange.com

75 votes

Algebraic Intuition for Homological Algebra and Applications to More Elementary Algebra

soft-question intuition homological-algebra applications asked Nov 11 '11 at 20:36
math.stackexchange.com

62 votes

Intuition for the Importance of Modular Forms

number-theory intuition modular-forms asked Mar 9 '13 at 8:51
math.stackexchange.com

38 votes

Perspectives on Riemann Surfaces

complex-analysis intuition riemann-surfaces learning advice asked Apr 22 '12 at 1:40
math.stackexchange.com

19 votes

Is the Dieudonne module actually a cohomology group?

arithmetic-geometry crystalline-cohomology asked Apr 3 '16 at 12:24
mathoverflow.net

17 votes

Algebraic spaces as locally ringed spaces

ag.algebraic-geometry stacks asked Feb 5 '16 at 8:40
mathoverflow.net

14 votes

Definition of discrete spectrum and continuous and basic properties

rt.representation-theory harmonic-analysis automorphic-forms reductive-groups asked May 1 '16 at 13:21
mathoverflow.net

11 votes

Relationship between étale and topological $K(\pi,1)$s

ag.algebraic-geometry fundamental-group etale-covers asked Jul 25 '15 at 14:41
mathoverflow.net

10 votes

Extension of Messing-Mazur-Oda to general groups

ag.algebraic-geometry arithmetic-geometry crystalline-cohomology dieudonne asked Sep 23 '15 at 8:49
mathoverflow.net

10 votes

Generalizing the Notion of Nilpotent/Abelian/Cyclic Numbers

gr.group-theory finite-groups asked Oct 1 '13 at 5:13
mathoverflow.net

1 2

Top Answers
207
What books must every math undergraduate read?
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74
Should I be worried that I am doing well in analysis and not well in algebra?
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56
Polynomial map is surjective if it is injective
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44
How and why does Grothendieck's work provide tools to attack problems in number theory?
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40
Let $G$ be a Lie group. Show that there is a diffeomorphism $TG \cong G \times T_e G$.
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39
What are exact sequences, metaphysically speaking?
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37
Examples of morphisms of schemes to keep in mind?
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34
Injective function that is not surjective
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33
Contour integral for $x^3/(e^x-1)$?
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32
Why is every category not isomorphic to its opposite?
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31
Showing that $ \int_{0}^{1} \frac{x-1}{\ln(x)} \mathrm dx=\ln2 $
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29
What are some applications of Chebotarev Density Theorem?
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26
Infinite class of closed sets whose union is not closed
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25
When is a Morphism between Curves a Galois Extension of Function Fields
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24
In what sense is $p$-adic Hodge theory related to ordinary (complex) Hodge theory?
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24
Applications of Belyi's theorem
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23
Every non zero commutative ring with identity has a minimal prime.
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22
Motivation and examples for ramification
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22
how to calculate $q$-expansion coefficients of a modular form?
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21
Rudin's Principles of Mathematical Analysis or Apostol's Mathematical Analysis?
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21
Relationship between Galois cohomology and etale cohomology.
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21
Is there a "geometric" interpretation of inert primes?
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21
In a Dedekind domain every ideal is either principal or generated by two elements.
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20
What does $R-\mathrm{Mod}$ tell us about $R$?
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20
Proving prime $p$ divides $\binom{p}{k}$ for $k\in\{1,\ldots,p-1\}$
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19
Proof that ideals in $C[0,1]$ are of the form $M_c$ that should not involve Zorn's Lemma
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19
$X/{\sim}$ is Hausdorff if and only if $\sim$ is closed in $X \times X$
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19
Find every ring homomorphism between $\mathbb Z$ and $\mathbb Q$
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19
Is set theory important for topology?
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18
How do I show that $\int_{-\infty}^\infty \frac{ \sin x \sin nx}{x^2} \ dx = \pi$?
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