2,918 reputation
31941
bio website math.harvard.edu/~ecp
location Harvard
age 27
visits member for 5 years, 10 months
seen 18 hours ago

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 hyper-Kähler manifolds