Let K be a field and R= K [x 1,…, xn]. We obtain an improved upper bound for asymptotic
resurgence of squarefree monomial ideals in R. We study the effect on the resurgence when …

We show that two ostensibly different versions of the asymptotic resurgence introduced by E.
Guardo, B. Harbourne and A. Van Tuyl in 2013 are the same. We also show that the …

Let k be a field, let A and B be polynomial rings over k, and let S= A⊗ k B. Let I⊆ A and J⊆ B
be monomial ideals. We establish a binomial expansion for rational powers of I+ J⊆ S in …

There are two different notions for symbolic powers of ideals existing in the literature, one
defined in terms of associated primes, the other in terms of minimal primes. Elaborating on …

We prove a sharp upper bound for the resurgence of sums of ideals involving disjoint sets of
variables, strengthening work of Bisui–Hà–Jayanthan–Thomas [Collect. Math. 72 (2021), pp …

We survey recent research bridging algebraic geometry, commutative algebra and
combinatorics, highlighting open questions, problems and conjectures of current interest …

We prove a sharp upper bound for the resurgence of sums of ideals involving disjoint sets of
variables, strengthening work of Bisui–Ha–Jayanthan–Thomas. Complete solutions are …

The origin of the theory of D-modules can be found in the works of Kashiwara [70] and
Bernstein [9, 10]. The motivation behind Bernstein's approach was to give a solution to a …