2,678 reputation
21836
bio website math.berkeley.edu/~ericp
location UC-B
age 26
visits member for 4 years, 5 months
seen 8 hours ago
Graduate student. Interested primarily in homotopy theory and the interactions of algebraic geometry with algebraic topology, but also in lots of other things, including Lie theory, mathematical physics, complex geometry, and graduating.

Apr
4
comment Units of a ring spectrum
My understanding is that constructing a sane notion of spectra of units sensitive to coconnective information is an interesting open problem. As spaces of units were initially developed to understand twists of spectra parametrized over a space, and as all spaces are themselves connective, this insensitivity wasn't initially considered to be an issue. Steffen Sagave has proposed a model for periodic $E_\infty$ ring spectra; maybe you'd enjoy reading about that. arxiv.org/abs/1111.6731
Mar
28
comment Are there any cool applications of the generalized Atiyah-Hirzebruch(-Serre) spectral sequence?
I don't know how striking this is, but I like the example of computing $E^* BZ/p$ for $E$ a $p$-complete complex-orientable theory via the fiber sequence $S^1 \to BZ/p \to CP^\infty \xrightarrow{p} CP^\infty$. The spectral sequence has a single differential, which upon choice of coordinate is given by the $p$-series of the orientation. Probably it's possible to state this as "First compute $(HZ_p)_*(BZ/p)$, then compute the AHSS," but it seems that justifying this description of the differential in that setting might be more cumbersome...?
Mar
2
reviewed Approve suggested edit on How many 2L-bit numbers are the product of two L-bit numbers?
Feb
26
reviewed Approve suggested edit on Method to compute fundamental solutions which are distributions
Feb
18
reviewed Approve suggested edit on First order stochastic dominance and rearrangement inequalities
Jan
30
comment Stable moduli interpretation of $\mathbb{R}\mathrm{P}^\infty_{-1}$
Oh, no, I'm not sure at all. Not only was I not following the talk perfectly, but as a stable homotopy person I'm susceptible to quietly localizing everything and forgetting about it.
Jan
29
revised Stable moduli interpretation of $\mathbb{R}\mathrm{P}^\infty_{-1}$
phrasing
Jan
29
asked Stable moduli interpretation of $\mathbb{R}\mathrm{P}^\infty_{-1}$
Jan
25
reviewed Approve suggested edit on Higher vanishing cycles
Jan
18
reviewed Approve suggested edit on Action Integral
Jan
7
reviewed Approve suggested edit on Real-world applications of mathematics, by arxiv subject area?
Jan
7
awarded  Custodian
Jan
7
reviewed Approve suggested edit on Multiplicity of ball covering
Dec
29
awarded  Custodian
Dec
29
reviewed No Action Needed Convolution of DQ-Modules
Oct
24
awarded  Yearling
Oct
15
awarded  Constituent
Sep
30
awarded  Caucus
Aug
11
comment Homology of localisations of spectra
Sure. I'm sure I didn't tell you much you didn't already know, but I thought it would be appreciated by onlookers.
Aug
10
revised Homology of localisations of spectra
added 57 characters in body