bio  website  mit.edu/~shopkins 

location  Cambridge, MA  
age  23  
visits  member for  2 years, 8 months 
seen  19 mins ago  
stats  profile views  1,107 
4h

comment 
Are there any Algebraic Geometry Theorems that were proved using Combinatorics?
arxiv.org/abs/1001.2774 
Mar 18 
revised 
Applications of commutative algebra
corrected spelling of Bernd Sturmfels' name 
Mar 14 
comment 
Dynamics of RSK
@darijgrinberg: I think there is still something to flipping the octahedron upsidedown; I will try to understand precisely Example 5 from arxiv.org/abs/math/0703414. 
Mar 14 
comment 
Dynamics of RSK
@darijgrinberg: Please see my updated answer. I apologize for claiming $\varphi$ was an involution! 
Mar 14 
revised 
Dynamics of RSK
completely rewrote answer 
Mar 12 
awarded  Nice Question 
Mar 12 
awarded  Revival 
Mar 12 
revised 
Dynamics of RSK
added 613 characters in body 
Mar 12 
revised 
Dynamics of RSK
added 154 characters in body 
Mar 12 
revised 
Dynamics of RSK
simplified rescaling 
Mar 12 
answered  Dynamics of RSK 
Feb 7 
comment 
counting how many boxes from a given Young tableau contribute to hook length made out of two YTs
This is a potentially interesting question, but it would be helpful to have some context. For instance, you use the tag representation theory (and not combinatorics!) so presumably there is some representation lurking here, but you don't spell it out... 
Feb 6 
asked  Dynamics of RSK 
Feb 5 
comment 
Motivation behind the construction of Deligne and Lusztig
This recent article of Lusztig's also seems quite relevant: arxiv.org/abs/1409.8003. 
Jan 16 
comment 
exceptional cases in KazhdanLusztig
Can you clarify your notation here? Does the $1$ subscript denote untwisted affine Lie algebra? 
Jan 14 
accepted  Number of regions of a hyperplane arrangement avoiding a generic hyperplane 
Jan 14 
answered  Number of regions of a hyperplane arrangement avoiding a generic hyperplane 
Jan 13 
comment 
How to find the generic initial ideal?
By the way, it might be worth mentioning that this book is by Ezra Miller and Bernd Sturmfels. 
Jan 7 
asked  Number of regions of a hyperplane arrangement avoiding a generic hyperplane 
Jan 5 
comment 
What will be the consequences if second HardyLittlewood conjecture turns out to be true?
You might be interested in this answer of Terry Tao to a related question, which says "I don't recommend putting too much time into taking random conjectures in number theory and trying to figure out what they imply": mathoverflow.net/a/190892/25028 