User Olivier

66 votes

Why are modular forms interesting?

answered May 14, 2010 at 12:45

51 votes

Accepted

Citing papers that are in a language that you do not read

answered Oct 22, 2010 at 9:08

50 votes

Mathematical habits of thought and action which would be of use to non-mathematicians

answered Sep 8, 2011 at 8:52

49 votes

Accepted

History of Geometric Analogies in Number Theory

answered Jul 2, 2015 at 18:42

30 votes

Published results: when to take them for granted?

answered May 7, 2010 at 12:08

27 votes

Accepted

Are overlaps among {algebraic geometry, arithmetic geometry, algebraic number theory} growing?

answered Jul 5, 2013 at 20:18

25 votes

Work of plenary speakers at ICM 2018

answered Jun 16, 2017 at 15:21

20 votes

Accepted

Infinitely many number fields of class number 1

answered Jun 5 at 13:15

19 votes

Status of Fontaine-Mazur conjecture

answered Jun 9, 2015 at 14:57

19 votes

Which mathematical ideas have done most to change history?

answered Feb 1, 2010 at 15:24

18 votes

Definition of CM modular form

answered Feb 13, 2013 at 9:29

17 votes

Value of "of course" in the mathematical literature

answered Feb 24, 2010 at 16:35

17 votes

Most memorable titles

answered Nov 2, 2010 at 10:05

16 votes

Accepted

How is etale cohomology of integer rings related to Galois cohomology?

answered Apr 22, 2011 at 19:54

16 votes

Biographic Data/Stories about André Néron

answered Apr 6, 2010 at 13:00

15 votes

"Gross-Zagier" formulae outside of number theory

answered Mar 31, 2015 at 14:18

13 votes

Why would one "attempt" to define points of a motive as $\operatorname{Ext}^1(\mathbb{Q}(0),M)$?

answered Sep 28, 2015 at 9:53

13 votes

Ramanujan's tau function

answered Feb 21, 2017 at 15:33

13 votes

Accepted

Some questions on the $p$-adic properties of special $L$-values

answered May 2, 2018 at 13:43

13 votes

Books/websites which have motivating stories of mathematicians overcoming hardships in life

answered Dec 20, 2021 at 8:49

12 votes

Accepted

Converse to Modularity I: weight 2 newforms

answered Sep 18, 2015 at 20:03

12 votes

Accepted

What's the difference between Euler systems and Kolyvagin systems?

answered Apr 17, 2015 at 21:55

12 votes

To what extent are modular parametrizations expected to generalize?

answered Sep 7, 2015 at 9:36

12 votes

Axiomatizing Gross-Zagier formulae

answered Oct 8, 2012 at 20:42

12 votes

Should one attack hard problems?

answered Feb 27, 2013 at 10:28

12 votes

A p-adic analogue for a formula of Riemann?

answered Feb 10, 2012 at 15:42

12 votes

Iwasawa main conjectures vs Bloch-Kato conjectures

answered Dec 14, 2010 at 17:07

11 votes

Accepted

Class field towers

answered Apr 23, 2015 at 14:03

11 votes

Is there a proof of quadratic reciprocity using $p$-adic numbers?

answered Apr 4, 2019 at 7:59

11 votes

Accepted

Tamagawa numbers

answered Dec 17, 2019 at 22:06

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137 Answers

Why are modular forms interesting?

Citing papers that are in a language that you do not read

Mathematical habits of thought and action which would be of use to non-mathematicians

History of Geometric Analogies in Number Theory

Published results: when to take them for granted?

Are overlaps among {algebraic geometry, arithmetic geometry, algebraic number theory} growing?

Work of plenary speakers at ICM 2018

Infinitely many number fields of class number 1

Status of Fontaine-Mazur conjecture

Which mathematical ideas have done most to change history?

Definition of CM modular form

Value of "of course" in the mathematical literature

Most memorable titles

How is etale cohomology of integer rings related to Galois cohomology?

Biographic Data/Stories about André Néron

"Gross-Zagier" formulae outside of number theory

Why would one "attempt" to define points of a motive as $\operatorname{Ext}^1(\mathbb{Q}(0),M)$?

Ramanujan's tau function

Some questions on the $p$-adic properties of special $L$-values

Books/websites which have motivating stories of mathematicians overcoming hardships in life

Converse to Modularity I: weight 2 newforms

What's the difference between Euler systems and Kolyvagin systems?

To what extent are modular parametrizations expected to generalize?

Axiomatizing Gross-Zagier formulae

Should one attack hard problems?

A p-adic analogue for a formula of Riemann?

Iwasawa main conjectures vs Bloch-Kato conjectures

Class field towers

Is there a proof of quadratic reciprocity using $p$-adic numbers?

Tamagawa numbers