173 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Romanian AcademyRO279 papers
- Centre National de la Recherche ScientifiqueFR70 papers
- University of BucharestRO59 papers
- Northeastern UniversityUS18 papers
- Academia Oamenilor de Știință din RomâniaRO16 papers
- University of CologneDE16 papers
- University of Illinois Urbana-ChampaignUS15 papers
- Aalborg UniversityDK14 papers
- MacEwan UniversityCA14 papers
- University of LjubljanaSI12 papers
- AGH University of KrakowPL11 papers
- Institut de Mathématiques de ToulouseFR11 papers
542 papers
Construction of free curves by adding lines to a given curve
Alexandru Dimca, Giovanna Ilardi, Piotr Pokora +1
In the present note we construct new families of free plane curves starting from a curve and adding high order inflectional tangent lines of , lines joining the singularitie…
Reduced quiver quantum toroidal algebras
Andrei Neguţ
We give a generators-and-relations description of the reduced versions of quiver quantum toroidal algebras, which act on the spaces of BPS states associated to (non-compact) toric…
Matrix representation of Magnetic pseudo-differential operators via tight Gabor frames
Horia D. Cornean, Bernard Helffer, Radu Purice
In this paper we use some ideas from \cite{FG-97, G-06} and consider the description of Hörmander type pseudo-differential operators on (), including the cas…
Big mapping class groups with uncountable integral homology
Martin Palmer, Xiaolei Wu
We prove that, for any infinite-type surface , the integral homology of the closure of the compactly-supported mapping class group and of the Tor…
Homology stability for asymptotic monopole moduli spaces
Martin Palmer, Ulrike Tillmann
We prove homological stability for two different flavours of asymptotic monopole moduli spaces, namely moduli spaces of framed Dirac monopoles and moduli spaces of ideal monopoles.…
The Selberg trace formula for spin Dirac operators on degenerating hyperbolic surfaces
Rares Stan
We investigate the spectrum of the spin Dirac operator on families of hyperbolic surfaces where a set of disjoint simple geodesics shrink to , under the hypothesis that the spin…
The Hardy inequality and large time behaviour of the heat equation on
Cristian Cazacu, Liviu I. Ignat, Dragoş Manea
In this paper we study the large time asymptotic behaviour of the heat equation with Hardy inverse-square potential on corner spaces , $k\geq 0…
On the homology of big mapping class groups
Martin Palmer, Xiaolei Wu
We prove that the mapping class group of the one-holed Cantor tree surface is acyclic. This in turn determines the homology of the mapping class group of the once-punctured Cantor…
Proofs of McIntosh's Conjecture on Franel Integrals and Two Generalizations
Bruce C. Berndt, Likun Xie, Alexandru Zaharescu
We provide a proof of a conjecture made by Richard McIntosh in 1996 on the values of the Franel integrals, where is the first peri…
Geometrical isomorphisms between categories of fuzzy coverings and fuzzy partitions
Mircea Cimpoeas, Adrian Gabriel Neacsu
Let be the category of the category of fuzzy coverings, and , the category of fuzzy partitions. We geometrically construct an isomorphism of categories betwee…
Euclidean distance degree and limit points in a Morsification
Laurenţiu Maxim, Mihai Tibăr
Motivated by finding an effective way to compute the algebraic complexity of the nearest point problem for algebraic models, we introduce an efficient method for detecting the limi…
Twisted local wild mapping class groups: configuration spaces, fission trees and complex braids
Philip Boalch, Jean Douçot, Gabriele Rembado
Following the completion of the algebraic construction of the Poisson wild character varieties (B.--Yamakawa, 2015) one can consider their natural deformations, generalising both t…
Maximizing curves viewed as free curves
Alexandru Dimca, Piotr Pokora
The aim of this paper is to provide a direct link between maximizing curves that occur in the construction of smooth algebraic surfaces having the maximal possible Picard numbers a…
Stochastic integration in Riemannian manifolds from a functional-analytic point of view
Alexandru Mustăţea
This article presents a construction of the concept of stochastic integration in Riemannian manifolds from a purely functional-analytic point of view. We show that there are infini…
Normalized solutions to fractional mass supercritical NLS systems with Sobolev critical nonlinearities
Jiabin Zuo, Vicenţiu D. Rădulescu
In this paper, we investigate the following fractional Sobolev critical nonlinear Schrödinger (NLS) coupled systems: \begin{equation*} \left\{\begin{array}{lll} (-Δ)^{s} u=μ_{1} u+…
On the monomial algebra associated to the monomial characters of a finite group
Mircea Cimpoeas, Alexandru F. Radu
Given a finite group , we study the monomial algebra , generated by the monomial characters of . In particular, we note that the integral closure of is contained i…
Stable laws for random dynamical systems
Romain Aimino, Matthew Nicol, Andrew Török
In this paper we consider random dynamical systems formed by concatenating maps acting on the unit interval in an iid fashion. Considered as a stationary Markov process, th…
Heat kernel asymptotics for real powers of Laplacians
Cipriana Anghel
We describe the small-time heat kernel asymptotics of real powers , of a non-negative self-adjoint generalized Laplacian acting on the sections of a hermitia…
Positivity vs. slope semistability for bundles with vanishing discriminant
Mihai Fulger, Adrian Langer
We give an algebraic proof valid in arbitrary characteristic for the known equivalence between (strongly) slope semistable vector bundles with vanishing discriminant and vanishing…
Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves
A. Dimca, G. Ilardi, G. Sticlaru
Let be a reduced curve in the complex projective plane. The minimal degree of a Jacobian syzygy for , which is the same as the minimal degree of a derivation ki…
On conic-line arrangements with nodes, tacnodes, and ordinary triple points
Alexandru Dimca, Piotr Pokora
In the present paper, we study conic-line arrangements having nodes, tacnodes, and ordinary triple points as singularities. We provide combinatorial constraints on such arrangement…
Design of pre-stressed plate-strips to cover non-developable shells
Alexandre Danescu, Ioan R. Ionescu
In this paper we address the following design problem: what is the shape of a plate and the associated pre-stress that relaxes toward a given three-dimensional shell? As isometric…
Shuffle algebras for quivers as quantum groups
Andrei Neguţ, Francesco Sala, Olivier Schiffmann
We define a quantum loop group associated to an arbitrary quiver and maximal set of deformation parameters, with generators indexed by $I \times \mathbb{…
The Burau representations of loop braid groups
Martin Palmer, Arthur Soulié
We give a simple topological construction of the Burau representations of the loop braid groups. There are four versions: defined either on the non-extended or extended loop braid…