Department of Mathematics
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Departmental Publications, Department of Mathematics [5]
Newsletters, annual reports, and other departmental publications 
Scholarly Works, Department of Mathematics [228]
Research articles, presentations, and other scholarship
Recent Submissions

Longtime Reynolds averaging of reduced order models for fluid flows: Preliminary results
(20191022)We perform a preliminary theoretical and numerical investigation of the timeaverage of energy exchange among modes of Reduced Order Models (ROMs) of fluid flows. We are interested in the statistical equilibrium problem, ... 
Closure Learning for Nonlinear Model Reduction Using Deep Residual Neural Network
(MDPI, 20200323)Developing accurate, efficient, and robust closure models is essential in the construction of reduced order models (ROMs) for realistic nonlinear systems, which generally require drastic ROM mode truncations. We propose a ... 
Editorial for Special Issue “Drop, Bubble and Particle Dynamics in Complex Fluids”
(MDPI, 20200102)The presence of drops, bubbles, and particles affects the behavior and response of complex multiphase fluids [...] 
A Linear Algorithm for Ambient Seismic Noise Double Beamforming Without Crosscorrelations
(20200102)Geoscientists and engineers are increasingly using denser arrays for continuous seismic monitoring, and often turning to ambient seismic noise interferometry for lowcost nearsurface imaging. While ambient noise interferometry ... 
Modelling Allee effects in a transgenic mosquito population during range expansion
(Taylor & Francis, 20180427)Mosquitoes are vectors for many diseases that cause significant mortality and morbidity. As mosquito populations expand their range, they may undergo matefinding Allee effects such that their ability to successfully ... 
On the diagonal subalgebra of an Ext algebra
(201704)Let R be a Koszul algebra over a field k and M be a linear Rmodule. We study a graded subalgebra Delta(M) of the Extalgebra Ext(R)*(M, M) called the diagonal subalgebra and its properties. Applications to the Hochschild ... 
The emergence of fast oscillations in a reduced primitive equation model and its implications for closure theories
(20170627)The problem of emergence of fast gravitywave oscillations in rotating, stratified flow is reconsidered. Fast inertiagravity oscillations have long been considered an impediment to initialization of weather forecasts, and ... 
Examining Mathematics Anxiety of Undergraduates Using a BrainBased Measurement, EEG
(Scientific Research Publishing, 20190527)This paper reports on an investigation of mathematics anxiety (MA) among 40 Korean undergraduate students, using cognitive neuroscience. In Spring 2015, we collected data on correct response rates and reaction times from ... 
How soap bubbles freeze
(Springer Nature, 20190618)Droplets or puddles tend to freeze from the propagation of a single freeze front. In contrast, videographers have shown that as soap bubbles freeze, a plethora of growing ice crystals can swirl around in a beautiful effect ... 
Linked withinhost and betweenhost models and data for infectious diseases: a systematic review
(PeerJ, 20190619)The observed dynamics of infectious diseases are driven by processes across multiple scales. Here we focus on two: withinhost, that is, how an infection progresses inside a single individual (for instance viral and immune ... 
Individual and situational factors related to undergraduate mathematics instruction
(20190628)Abstract Background In the US, there is significant interest from policy boards and funding agencies to change students’ experiences in undergraduate mathematics classes. Even ... 
Bridging Frameworks for Understanding Numerical Cognition
(LeibnizInstitute for Psychology Information (ZPID), 20180607) 
A note on best approximation and invertibility of operators on uniformly convex Banach spaces
(Hindawi Publishing Corp, 19910101)It is shown that if X is a uniformly convex Banach space and S a bounded linear operator onX for which ?IS?=1, then S is invertible if and only if ?I12S? <1. From this it follows thatif S is invertible on X then either ... 
Editorial: Integrative Computational Systems Biology Approaches in Immunology and Medicine
(Frontiers, 20190123)New technologies provide the ability to generate massive amounts of immunological data in health and disease. However, this “Big data” trend is becoming more challenging and unfeasible by the steep increase in the number ... 
Disrupting Mosquito Reproduction and Parasite Development for Malaria Control
(PLOS, 20161215)The control of mosquito populations with insecticide treated bed nets and indoor residual sprays remains the cornerstone of malaria reduction and elimination programs. In light of widespread insecticide resistance in ... 
Antibody Responses during Hepatitis B Viral Infection
(PLOS, 201407)Hepatitis B is a DNA virus that infects liver cells and can cause both acute and chronic disease. It is believed that both viral and host factors are responsible for determining whether the infection is cleared or becomes ... 
Mathematical Models of EAntigen Mediated Immune Tolerance and Activation following Prenatal HBV Infection
(PLOS, 20120702)We develop mathematical models for the role of hepatitis B eantigen in creating immunological tolerance during hepatitis B virus infection and propose mechanisms for hepatitis B eantigen clearance, subsequent emergence ... 
An introduction to compartmental modeling for the budding infectious disease modeler
(Taylor & Francis, 20180816)Mathematical models are ubiquitous in the study of the transmission dynamics of infectious diseases, In particular, the classic ‘susceptibleinfectiousrecovered’ (SIR) paradigm provides a modeling framework that can be ... 
Modeling the Mechanisms by Which HIV Associated Immunosuppression Influences HPV Persistence at the Oral Mucosa
(PLOS, 20170106)Human immunodeficiency virus (HIV)infected patients are at an increased risk of coinfection with human papilloma virus (HPV), and subsequent malignancies such as oral cancer. To determine the role of HIVassociated immune ...