bio  website  math.harvard.edu/~ecp 

location  Harvard  
age  27  
visits  member for  5 years, 10 months 
seen  18 hours ago  
stats  profile views  4,435 
Postdoc (BP fellow). Interested primarily in homotopy theory and the interactions of algebraic geometry with algebraic topology, but also in lots of other things.
1d

reviewed  Approve $C^1$ Sard related question 
Aug
22 
awarded  Nice Question 
Jun
22 
awarded  Nice Answer 
Jun
21 
revised 
Homology of localisations of spectra
edited body 
Jun
20 
comment 
If a topological space has vanishing $n$th homology for every possible homology theory, does it have vanishing $n$th homotopy?
Do you get a positive answer if you also require twisted ordinary homology to vanish? 
Jun
16 
reviewed  Approve [This might be a easy question]: A possible trace (inequality) defined under negative Sobolev scale 
May
25 
reviewed  Reject John Nash's Mathematical Legacy 
May
3 
reviewed  Approve Where to buy premium white chalk in the U.S., like they have at RIMS? 
May
2 
awarded  Popular Question 
Apr
9 
awarded  Popular Question 
Mar
8 
comment 
Properties of coefficients of ring spectra
For any space $X$, the composite $$MU \to KU \to F(X_+, KU)$$ gives with a complex–oriented $E_\infty$–ring spectrum whose formal group law is multiplicative. Feeding in, e.g., a Moore space for X will get you plenty of torsion. This isn't a killer example though, as these are augmented $KU$algebras, and the augmentation cleanly separates the torsion from your other hypotheses. Still something you should disallow. // A recent result of Mathew, Naumann, and Noel (arXiv:1403.2023) gives some control over the behavior of torsion in $H_\infty$ settings. You may enjoy reading their main results. 
Feb
6 
comment 
Reconciling two viewpoints for spectra
I wrote some "nontechnical" notes that attempt to introduce the stable homotopy category by reasoning along the lines you mention. They have some deficits, but maybe you'll find they address your question: math.berkeley.edu/~ericp/teaching/Fall2013/msri/… . 
Jan
14 
reviewed  Approve A naive question about SGA4 
Jan
8 
reviewed  Approve Schrodinger equation with magnetic vector potential 
Jan
8 
reviewed  Approve $\epsilon$nearly isoclinic 
Dec
24 
revised 
When does the conormal bundle sequence split?
fixes obsoleted mathjax conventions 
Dec
4 
reviewed  Approve Find m most distant points from a set of n points 
Dec
4 
reviewed  Approve Famous mathematical quotes 
Nov
30 
reviewed  Approve Sets of coprime numbers 
Nov
9 
reviewed  Approve Isometries of hyperKähler manifolds 