PhD Prep Study Groups

 Posts: 20
 Joined: Fri Dec 04, 2020 2:32 pm
PhD Prep Study Groups
Hey guys,
I'm thinking about trying to form a couple of small study groups in preparation for the math PhD programs many of us will be starting in Fall (2021). Personally, I'm choosing to focus on Algebra and Geometry/Topology. I'm hoping to get a group of 45 individuals together, pick a book we all want to read/review, and work together on the exercises. Below are some suggestions I'm considering:
Topology (Munkres)
Algebraic Topology (Hatcher)
Intro to Algebra (Gallian)
Commutative Algebra (Atiyah/MacDonnald)
Homological Algebra (Rotman)
I'm open to others as well. If anyone is interested, hit me up, or let me know what you think in the thread.
Good luck out there. UD
I'm thinking about trying to form a couple of small study groups in preparation for the math PhD programs many of us will be starting in Fall (2021). Personally, I'm choosing to focus on Algebra and Geometry/Topology. I'm hoping to get a group of 45 individuals together, pick a book we all want to read/review, and work together on the exercises. Below are some suggestions I'm considering:
Topology (Munkres)
Algebraic Topology (Hatcher)
Intro to Algebra (Gallian)
Commutative Algebra (Atiyah/MacDonnald)
Homological Algebra (Rotman)
I'm open to others as well. If anyone is interested, hit me up, or let me know what you think in the thread.
Good luck out there. UD
Re: PhD Prep Study Groups
I think this is a great idea, perhaps we could work through Complex Analysis by Ahlfors for a refresher on complex analysis.
Re: PhD Prep Study Groups
This is a great idea! Of all of those, I've heard that Hatcher tends to be a difficult (but standard) book, and I've heard good things about Munkres as well.UniformlyDivergent wrote: ↑Wed Feb 03, 2021 12:57 pmHey guys,
I'm thinking about trying to form a couple of small study groups in preparation for the math PhD programs many of us will be starting in Fall (2021). Personally, I'm choosing to focus on Algebra and Geometry/Topology. I'm hoping to get a group of 45 individuals together, pick a book we all want to read/review, and work together on the exercises. Below are some suggestions I'm considering:
Topology (Munkres)
Algebraic Topology (Hatcher)
Intro to Algebra (Gallian)
Commutative Algebra (Atiyah/MacDonnald)
Homological Algebra (Rotman)
I'm open to others as well. If anyone is interested, hit me up, or let me know what you think in the thread.
Good luck out there. UD

 Posts: 35
 Joined: Wed Jul 29, 2020 6:12 pm
Re: PhD Prep Study Groups
Great idea for sure! Munkres "elements of algebraic topology" is a beast. IMO, Hatcher is more approachable/readableblue_math wrote: ↑Wed Feb 03, 2021 4:08 pmThis is a great idea! Of all of those, I've heard that Hatcher tends to be a difficult (but standard) book, and I've heard good things about Munkres as well.UniformlyDivergent wrote: ↑Wed Feb 03, 2021 12:57 pmHey guys,
I'm thinking about trying to form a couple of small study groups in preparation for the math PhD programs many of us will be starting in Fall (2021). Personally, I'm choosing to focus on Algebra and Geometry/Topology. I'm hoping to get a group of 45 individuals together, pick a book we all want to read/review, and work together on the exercises. Below are some suggestions I'm considering:
Topology (Munkres)
Algebraic Topology (Hatcher)
Intro to Algebra (Gallian)
Commutative Algebra (Atiyah/MacDonnald)
Homological Algebra (Rotman)
I'm open to others as well. If anyone is interested, hit me up, or let me know what you think in the thread.
Good luck out there. UD
Re: PhD Prep Study Groups
This is a great idea! I’m definitely down.
I’m particularly interested in learning complex analysis, algebraic topology, algebra, and differential topology. I just began reading Differential Topology by Guillemin and Pollack if anyone is interested in learning that too.
Would we meet through zoom?
I’m particularly interested in learning complex analysis, algebraic topology, algebra, and differential topology. I just began reading Differential Topology by Guillemin and Pollack if anyone is interested in learning that too.
Would we meet through zoom?

 Posts: 20
 Joined: Fri Dec 04, 2020 2:32 pm
Re: PhD Prep Study Groups
Discussed this a little with a few others over PM, but what I'm thinking is set up a discord with channels for each of the "groups" (by subject, so one for Top, one for AT, one for Algebra, one for HA, one for CA, etc.) and do weekly or bimonthly zoom/discord video chats to work on problems together. No pressure on being there all the time, but I really think having the social element will help with selfstudying.Catalan wrote: ↑Wed Feb 03, 2021 5:41 pmThis is a great idea! I’m definitely down.
I’m particularly interested in learning complex analysis, algebraic topology, algebra, and differential topology. I just began reading Differential Topology by Guillemin and Pollack if anyone is interested in learning that too.
Would we meet through zoom?
I'll post links later when I have it all set up.
Re: PhD Prep Study Groups
Amazing! Super excited thanks @UniformlyDivergentUniformlyDivergent wrote: ↑Wed Feb 03, 2021 5:56 pmDiscussed this a little with a few others over PM, but what I'm thinking is set up a discord with channels for each of the "groups" (by subject, so one for Top, one for AT, one for Algebra, one for HA, one for CA, etc.) and do weekly or bimonthly zoom/discord video chats to work on problems together. No pressure on being there all the time, but I really think having the social element will help with selfstudying.Catalan wrote: ↑Wed Feb 03, 2021 5:41 pmThis is a great idea! I’m definitely down.
I’m particularly interested in learning complex analysis, algebraic topology, algebra, and differential topology. I just began reading Differential Topology by Guillemin and Pollack if anyone is interested in learning that too.
Would we meet through zoom?
I'll post links later when I have it all set up.

 Posts: 20
 Joined: Fri Dec 04, 2020 2:32 pm
Re: PhD Prep Study Groups
Discord "Math Grad Study Groups" is up. Link is valid for 7 days, with a hard limit of 25 people. Anyone after that can be invited after the fact. This is just to reduce the risk of potential spam.
Link to a new discord setup: https://discord.gg/P4PKGcgc
Link to a new discord setup: https://discord.gg/P4PKGcgc

 Posts: 11
 Joined: Thu Apr 02, 2020 8:27 pm
Re: PhD Prep Study Groups
If any program is dumb enough to accept me I'd love to join!UniformlyDivergent wrote: ↑Thu Feb 04, 2021 11:08 amDiscord "Math Grad Study Groups" is up. Link is valid for 7 days, with a hard limit of 25 people. Anyone after that can be invited after the fact. This is just to reduce the risk of potential spam.
Link to a new discord setup: https://discord.gg/P4PKGcgc

 Posts: 20
 Joined: Fri Dec 04, 2020 2:32 pm
Re: PhD Prep Study Groups
Two were dumb enough to accept me, so hop on in!2eurokebab wrote: ↑Thu Feb 04, 2021 11:28 amIf any program is dumb enough to accept me I'd love to join!UniformlyDivergent wrote: ↑Thu Feb 04, 2021 11:08 amDiscord "Math Grad Study Groups" is up. Link is valid for 7 days, with a hard limit of 25 people. Anyone after that can be invited after the fact. This is just to reduce the risk of potential spam.
Link to a new discord setup: https://discord.gg/P4PKGcgc
Re: PhD Prep Study Groups
Is this still going on?