Department of Mathematics
Recent Submissions

Effects of a parentadministered exercise program in the neonatal intensive care unit: Dose does mattera randomized controlled trial
(Journal article; Peer reviewed, 2020)Background Despite the risk of delayed motor development in infants born preterm, knowledge about interventions in the neonatal intensive care unitt (NICU) and the effects of dosing is sparse. Objective The objectives ... 
Objective Priors in the Empirical Bayes Framework
(Journal article; Peer reviewed, 2020)When dealing with Bayesian inference the choice of the prior often remains a debatable question. Empirical Bayes methods offer a datadriven solution to this problem by estimating the prior itself from an ensemble of data. ... 
Cyclic homology in a special world
(Chapter, 2020)In work of Connes and Consani, Γspaces have taken a new importance. Segal introduced Γspaces in order to study stable homotopy theory, but the new perspective makes it apparent that also information about the unstable ... 
Towards an understanding of ramified extensions of structured ring spectra
(Journal article; Peer reviewed, 2020)We propose topological Hochschild homology as a tool for measuring ramification of maps of structured ring spectra. We determine second order topological Hochschild homology of the plocal integers. For the tamely ramified ... 
A comparison of Monte Carlo sampling methods for metabolic network models
(Journal article; Peer reviewed, 2020)Reaction rates (fluxes) in a metabolic network can be analyzed using constraintbased modeling which imposes a steady state assumption on the system. In a deterministic formulation of the problem the steady state assumption ... 
Brauer groups of bielliptic surfaces and classification of irregular surfaces in positive characteristic
(Doctoral thesis, 20210527)In this work we tackle three problems about surfaces. In Part I (Chapter 2) we study the Brauer groups of bielliptic surfaces in characteristic zero. More precisely, given a bielliptic surface X, we give explicit ... 
Implicit linearization scheme for nonstandard twophase flow in porous media
(Journal article; Peer reviewed, 2021)In this article, we consider a nonlocal (in time) two‐phase flow model. The nonlocality is introduced through the wettability alteration induced dynamic capillary pressure function. We present a monotone fixed‐point iterative ... 
An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters
(Journal article; Peer reviewed, 2020)This paper concerns the analysis and implementation of a novel iterative staggered scheme for quasistatic brittle fracture propagation models, where the fracture evolution is tracked by a phase field variable. The model ... 
Monolithic and splitting solution schemes for fully coupled quasistatic thermoporoelasticity with nonlinear convective transport
(Journal article; Peer reviewed, 2020)This paper concerns monolithic and splittingbased iterative procedures for the coupled nonlinear thermoporoelasticity model problem. The thermoporoelastic model problem we consider is formulated as a threefield system ... 
Lie groupoids of mappings taking values in a Lie groupoid
(Journal article; Peer reviewed, 2020)Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the socalled current groups and, as a special case, loop groups. These are prime examples of ... 
Adaptive asynchronous timestepping, stopping criteria, and a posteriori error estimates for fixedstress iterative schemes for coupled poromechanics problems
(Journal article; Peer reviewed, 2020)In this paper we develop adaptive iterative coupling schemes for the Biot system modeling coupled poromechanics problems. We particularly consider the space–time formulation of the fixedstress iterative scheme, in which ... 
Multivariate count autoregression
(Journal article; Peer reviewed, 2020)We are studying linear and loglinear models for multivariate count time series data with Poisson marginals. For studying the properties of such processes we develop a novel conceptual framework which is based on copulas. ... 
Moduli of curves on Enriques surfaces
(Journal article; Peer reviewed, 2020)We compute the number of moduli of all irreducible components of the moduli space of smooth curves on Enriques surfaces. In most cases, the moduli maps to the moduli space of Prym curves are generically injective or dominant. ... 
Global sections of twisted normal bundles of K3 surfaces and their hyperplane sections
(Journal article; Peer reviewed, 2020)Let S⊂Pg be a smooth K3 surface of degree 2g−2, g≥3. We classify all the cases for which h0(NS/Pg(−2))≠0 and the cases for which h0(NS/Pg(−2))<h0(NC/Pg−1(−2)) for C⊂Pg−1 a general canonical curve section of S. 
Diurnal gait fluctuations in single and dual task conditions
(Journal article; Peer reviewed, 2020)Gait is one of the most basic movements, and walking activity accomplished in dual task conditions realistically represents daily life mobility. Much is known about diurnal variations of gait components such as muscle ... 
A note on Severi varieties of nodal curves on Enriques surfaces
(Journal article; Peer reviewed, 2020)Let L be a linear system on a smooth complex Enriques surface S whose general member is a smooth and irreducible curve of genus p, with L2 > 0, and let VL,δ(S) be the Severi variety of irreducible δnodal curves in ... 
Experimental design for parameter estimation in steadystate linear models of metabolic networks
(Journal article; Peer reviewed, 202001)Metabolic networks are typically large, containing many metabolites and reactions. Dynamical models that aim to simulate such networks will consist of a large number of ordinary differential equations, with many kinetic ... 
Brill–Noether general K3 surfaces with the maximal number of elliptic pencils of minimal degree
(Journal article; Peer reviewed, 2020)We explicitly construct Brill–Noether general K3 surfaces of genus 4, 6 and 8 having the maximal number of elliptic pencils of degrees 3, 4 and 5, respectively, and study their moduli spaces and moduli maps to the moduli ... 
Radial processes for subRiemannian Brownian motions and applications
(Journal article; Peer reviewed, 2020)We study the radial part of subRiemannian Brownian motion in the context of totally geodesic foliations. Itô’s formula is proved for the radial processes associated to Riemannian distances approximating the Riemannian ... 
Numerical modeling of wing crack propagation accounting for fracture contact mechanics
(Journal article; Peer reviewed, 2020)As a consequence of shearing, wing cracks can emerge from preexisting fractures. The process involves the interaction of sliding of the existing fracture surfaces and the tensile material failure that creates wing cracks. ...