
The opinions expressed on this blog are the views of the writer(s) and do not necessarily reflect the views and opinions of the American Mathematical Society
Subscribe to Blog via Email

Recent Posts
Recent Comments
 Bruno Duchesne on To be or not to be there: Conferencing in the age of flygskam
 Kevin Bacon on The Six Degrees of Kevin Bacon
 add hunter on Splitting Apartment Rent – A Case of Fair Division
 sa on 5 “Tricks” I Wish I Had Known About TeX at the Beginning
 Komal on Communicating Mathematics to a Broader Audience
Archives
 January 2020
 December 2019
 November 2019
 October 2019
 September 2019
 August 2019
 November 2018
 September 2018
 June 2018
 May 2018
 March 2018
 February 2018
 January 2018
 December 2017
 November 2017
 October 2017
 September 2017
 August 2017
 July 2017
 June 2017
 April 2017
 March 2017
 February 2017
 January 2017
 December 2016
 November 2016
 October 2016
 September 2016
 August 2016
 July 2016
 June 2016
 May 2016
 April 2016
 March 2016
 February 2016
 January 2016
 December 2015
 November 2015
 October 2015
 September 2015
 July 2015
 June 2015
 May 2015
 April 2015
 March 2015
 January 2015
 December 2014
 November 2014
 October 2014
 September 2014
 August 2014
 July 2014
 June 2014
 May 2014
 April 2014
 March 2014
 February 2014
 January 2014
 December 2013
 November 2013
 October 2013
 September 2013
 August 2013
 July 2013
 June 2013
 May 2013
 April 2013
 March 2013
 February 2013
 January 2013
 December 2012
 November 2012
 October 2012
 September 2012
 August 2012
 July 2012
 June 2012
 May 2012
 April 2012
 March 2012
 February 2012
 January 2012
 December 2011
 November 2011
 October 2011
 September 2011
 August 2011
 July 2011
 June 2011
 May 2011
 April 2011
 March 2011
 February 2011
 January 2011
 December 2010
 November 2010
 October 2010
 September 2010
 August 2010
 July 2010
 June 2010
 May 2010
 April 2010
 March 2010
 February 2010
 January 2010
 December 2009
 November 2009
 October 2009
 September 2009
 August 2009
 July 2009
 June 2009
 May 2009
 April 2009
 March 2009
 February 2009
Categories
 Advice
 Algebra
 Algebraic Geometry
 AMS
 Analysis
 Announcement
 Arts & Math
 Biology
 Book Reviews
 Conferences
 Crossword Puzzles
 Diversity
 Ecology
 Editorial Statement
 General
 Grad School
 Grad student life
 Interview
 Interviews
 Jobs
 Linear Algebra
 MAM
 Math
 Math Education
 Math Games
 Math History
 Math in Pop Culture
 Math Teaching
 Mathematicians
 Mathematics in Society
 Mathematics Online
 News
 Number Theory
 Publishing
 puzzles
 Social Justice
 Starting Grad Schol
 Statistics
 staying organized
 Teaching
 Technology & Math
 Topology
 Uncategorized
 Voting Theory

Comments Guidelines
The AMS encourages your comments, and hopes you will join the discussions. We review comments before they're posted, and those that are offensive, abusive, offtopic or promoting a commercial product, person or website will not be posted. Expressing disagreement is fine, but mutual respect is required.
Meta
Author Archives: Tom Gannon
Introduction to Ideal Class Groups
Algebraic number theory is a really interesting subject, but unlike some other subjects, it’s not 100% clear what objects people study. This post provides an introduction to the class group of a finite dimensional field extension of $\mathbb{Q}$, an object often … Continue reading
A Pretty Lemma About Prime Ideals and Products of Ideals
I was trying to prove a theorem in algebraic geometry which basically held if and only if this lemma held. Here’s the lemma: Lemma: Given any ring $A$, a prime ideal $ \mathfrak{p} \subset A$, and a finite collection of ideals … Continue reading
The “Idea” of a Scheme
The mathematical concept of a “scheme” seems to pop up everywhere, but it’s hard to get a good grasp on what a scheme actually is. Any time you might ask someone what a scheme is in passing, there never seems … Continue reading
Ordered Fields and When You Can’t Order Them
The real numbers have an ordering on them–given two numbers and , we can tell whether or . So as math people, we like to generalize this to other sets–when can we say that a general set is ordered? In this post, … Continue reading
On “Imposter Syndrome”
Here’s how it happens: You’re in graduate school and were one of the best people in your major from your school. Honestly, that’s how you got into graduate school in the first place. You go in the first few weeks, you … Continue reading
Posted in Advice, Grad School, Grad student life, Starting Grad Schol
Tagged Advice, graduate students, Imposter Syndrome
3 Comments