2,486 reputation
523
bio website people.virginia.edu/~aa4cr/…
location University of Virginia
age
visits member for 3 years, 9 months
seen Apr 13 at 19:21

I am a mathematical physicist working on:

• Constructive quantum field theory.

• Rigorous renormalization group methods.

• Mathematical statistical mechanics.

• Combinatorics related to Feynman diagrams and cluster expansions.

• Classical invariant theory, and applications of the classical symbolic method to problems in algebraic geometry and representation theory.


Apr
13
revised Invariants for the exceptional complex simple Lie algebra $F_4$
added 302 characters in body
Mar
6
comment Positivity of coefficients of a power series
I agree with Igor. Another ref which might also be useful is the paper arxiv.org/abs/1301.2449 by Scott and Sokal.
Feb
4
comment Resultant of system with 3 polynomials and 3 variables
yet it is a principal ideal
Feb
2
comment Multivariate analogue of Vandermonde determinant
do you know if there is any paper in the literature which tries to find explicit formulas in terms of these SL invariants?
Dec
6
comment Fubini for distributions which are not measures?
How do you define F(u,v)? 1/(1-ux-vy)^3 is not a test function. Also the definition of zeta times rho just needs the Nuclear Theorem.
Nov
21
revised What mathematical treatment is there on the renormalization group flow in a space of Lagrangians?
added 162 characters in body
Nov
8
comment when does one want to use the Reynolds operator in GIT?
Did you find for instance: mathoverflow.net/questions/139153/…
Oct
25
answered An attractive introduction to the history of modular forms and its applications
Oct
17
revised Partial linearization near a hyperbolic fixed point--Classical scattering
fixed typo
Oct
17
revised What is a cumulant really?
added another synonym for cumulant used in stat mech
Oct
17
comment Work of plenary speakers at ICM 2014
as teachers of math aren't we all, according to Socrates.
Oct
17
awarded  Nice Answer
Oct
16
revised What is a cumulant really?
fixed typo
Oct
16
comment Flags of varieties
This reminds me of higher adeles introduced by Beilinson and Parshin. You should be able to get some references by searching these keywords.
Oct
15
revised What is a cumulant really?
added 2 characters in body
Oct
15
comment What is a cumulant really?
@Daniel: I just put some.
Oct
15
revised What is a cumulant really?
added 761 characters in body
Oct
15
comment Why A. Weil considered elimination theory to be eliminated?
I wouldn't say "the use of elimination theory in intersection theory led to contradictions". Whatever mistakes or contradictions happened, they are not to be imputed to the theory itself but to the sloppiness of its users.
Oct
15
answered What is a cumulant really?
Oct
15
comment Old books still used
@Al-Amrani: but then Abhyankar said one should eliminate eliminators of elimination theory.