Mathematics

Recent Works

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Sorted by most recent date added to the index first, which may not be the same as publication date order.

2025 journal article

An analytical inversion formula for the overdetermined spherical section transform

INVERSE PROBLEMS, 41(9).

By: F. Terzioglu*

author keywords: spherical section transform; inversion; exact; reconstruction
topics (OpenAlex): Electromagnetic Scattering and Analysis; Numerical methods in inverse problems
Source: Web Of Science
Added: September 16, 2025

2025 journal article

NONCROSSING PARTITIONS OF AN ANNULUS

COMBINATORIAL THEORY, 5(1).

By: L. Brestensky & N. Reading* 

author keywords: Absolute order; affine Coxeter group; annulus; noncrossing partition
topics (OpenAlex): Commutative Algebra and Its Applications; Polynomial and algebraic computation; Advanced Topics in Algebra
Source: Web Of Science
Added: September 8, 2025

2025 article

Gyrotrons for Fusion Power Plants

Ives, R. L., Read, M., Neilson, J., Bui, T., Marsden, D., Le, T., & Tran, H. (2025, August 24). FUSION SCIENCE AND TECHNOLOGY, Vol. 8.

By: R. Ives*, M. Read *, J. Neilson *, T. Bui *, D. Marsden*, T. Le n , H. Tran n 

author keywords: Gyrotron; electron cyclotron heating; plasma heating; machine learning; depressed collector
topics (OpenAlex): Gyrotron and Vacuum Electronics Research; Particle accelerators and beam dynamics; Pulsed Power Technology Applications
Sources: Web Of Science, NC State University Libraries
Added: September 2, 2025

2025 journal article

Infinite-Dimensional and Field-Theoretic Nonholonomic Mechanics

REGULAR & CHAOTIC DYNAMICS, 30(4), 550–565.

By: A. Bloch & D. Zenkov*

author keywords: infinite-dimensional systems; Hamel's equations
topics (OpenAlex): Control and Dynamics of Mobile Robots; Dynamics and Control of Mechanical Systems; Advanced Materials and Mechanics
Source: Web Of Science
Added: September 2, 2025

2025 article

Randomized Preconditioned Solvers for Strong Constraint 4D-Var Data Assimilation

Subrahmanya, A. N., Rao, V., & Saibaba, A. K. (2025, August 28). OPTIMIZATION AND ENGINEERING, Vol. 8.

By: A. Subrahmanya, V. Rao & A. Saibaba* 

author keywords: Variational data assimilation; Randomized algorithms; Preconditioned iterative methods; Gauss-Newton
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Meteorological Phenomena and Simulations; Numerical methods in inverse problems
Sources: Web Of Science, NC State University Libraries
Added: September 2, 2025

2025 journal article

Uniformity in Nonreduced Rings via Noetherian Operators

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2025(17).

By: Y. Cid-Ruiz  n & J. Jeffries *

topics (OpenAlex): Advanced Topics in Algebra; Rings, Modules, and Algebras; Commutative Algebra and Its Applications
Source: Web Of Science
Added: September 2, 2025

2025 journal article

Stable Rank and Intrinsic Dimension of Real and Complex Matrices

SIAM Journal on Matrix Analysis and Applications.

By: I. Ipsen  & A. Saibaba

topics (OpenAlex):
Source: ORCID
Added: August 28, 2025

2025 article

SPECTRAL 2-ACTIONS, FOAMS, AND FRAMES IN THE SPECTRIFICATION OF KHOVANOV ARC ALGEBRAS

Dranowski, A., Guo, M., Lauda, A., & Manion, A. (2025, August 8). TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY.

By: A. Dranowski, M. Guo *, A. Lauda & A. Manion*

topics (OpenAlex): Algebraic structures and combinatorial models; Homotopy and Cohomology in Algebraic Topology; Advanced Operator Algebra Research
Source: Web Of Science
Added: August 25, 2025

2025 journal article

The fiber-full scheme

JOURNAL OF PURE AND APPLIED ALGEBRA, 229(9).

By: Y. Cid-Ruiz & R. Ramkumar

author keywords: Hilbert scheme; Quot scheme; Fiber-full scheme; Flattening stratification; Local cohomology; Ext module
topics (OpenAlex): Algebraic Geometry and Number Theory; Polynomial and algebraic computation; Optical Network Technologies
Source: Web Of Science
Added: August 25, 2025

2025 article

c-Functions and Koornwinder Polynomials

Colmenarejo, L., & Ram, A. (2025, August 8). QUARTERLY JOURNAL OF MATHEMATICS.

By: L. Colmenarejo n & A. Ram  n

topics (OpenAlex): Advanced Combinatorial Mathematics; Algebraic structures and combinatorial models; Advanced Algebra and Geometry
Source: Web Of Science
Added: August 25, 2025

2025 journal article

A fourth order mixed compact finite difference scheme for biharmonic equations

JOURNAL OF COMPUTATIONAL PHYSICS, 539.

By: K. Pan, J. Li, Z. Li*  & H. Hu

author keywords: Biharmonic equation; Fourth order mixed compact scheme; Finite difference method; Error analysis; Stokes flow; Variable coefficients; Nonlinear biharmonic equation
topics (OpenAlex): Differential Equations and Numerical Methods; Advanced Numerical Methods in Computational Mathematics; Numerical methods for differential equations
Sources: Web Of Science, NC State University Libraries
Added: August 18, 2025

2025 article

Instructors' resource use in multivariable calculus: a case study

Martinez-Planell, R., Moore-Russo, D., Seeburger, P., Stanhope, S., & Paul, S. (2025, August 9). INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, Vol. 8.

By: R. Martinez-Planell *, D. Moore-Russo *, P. Seeburger *, S. Stanhope * & S. Paul n 

co-author countries: Puerto Rico 🇵🇷
author keywords: Multivariable calculus; digital resources; TPCK; 3D-printed models
topics (OpenAlex): Mathematics Education and Teaching Techniques; Education and Technology Integration; Statistics Education and Methodologies
Sources: ORCID, Web Of Science, NC State University Libraries
Added: August 18, 2025

2025 journal article

Local topological order and boundary algebras

FORUM OF MATHEMATICS SIGMA, 13.

By: C. Jones , P. Naaijkens, D. Penneys, D. Wallick & M. Izumi

topics (OpenAlex):
Sources: ORCID, Web Of Science, NC State University Libraries
Added: August 15, 2025

2025 journal article

Network and Phase Symmetries Reveal That Amplitude Dynamics Stabilize Decoupled Oscillator Clusters

Entropy.

By: J. Emenheiser *, A. Salova *, J. Snyder* , J. Crutchfield * & R. D’Souza *

topics (OpenAlex): Nonlinear Dynamics and Pattern Formation; Slime Mold and Myxomycetes Research; Neural dynamics and brain function
Source: ORCID
Added: August 14, 2025

2025 journal article

The<i> e</i>-positivity of the chromatic symmetric function for twinned paths and cycles

DISCRETE MATHEMATICS, 348(12).

By: E. Banaian, K. Celano, M. Chang-Lee, L. Colmenarejo*, O. Goff, J. Kimble, L. Kimpel, J. Lentfer, J. Liang, S. Sundaram

author keywords: Chromatic symmetric function; Graph twinning; Elementary symmetric function; e-positivity
topics (OpenAlex): Advanced Combinatorial Mathematics; Mathematics and Applications; graph theory and CDMA systems
Source: Web Of Science
Added: August 11, 2025

2025 journal article

Characterizing variability and uncertainty for parameter subset selection in PBPK models

Toxicological Sciences.

By: C. Schacht *, D. Kapraun *, A. Meade *, A. Bernstein *, H. Tran n  & P. Schlosser *

topics (OpenAlex): Carcinogens and Genotoxicity Assessment; Effects and risks of endocrine disrupting chemicals; Statistical Methods in Clinical Trials
Source: ORCID
Added: July 30, 2025

2025 journal article

ROBUST BLOCKWISE RANDOM PIVOTING: FAST AND ACCURATE ADAPTIVE INTERPOLATIVE DECOMPOSITION

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 46(3), 1791–1815.

By: Y. Dong *, C. Chen n , P. Martinsson * & K. Pearce *

author keywords: randomized numerical linear algebra; interpolative decomposition; column subset selection; adaptive sampling
topics (OpenAlex): Sparse and Compressive Sensing Techniques; Model Reduction and Neural Networks; Stochastic Gradient Optimization Techniques
Sources: ORCID, Web Of Science, NC State University Libraries
Added: July 29, 2025

2025 journal article

A quantum Murnaghan-Nakayama rule for the flag manifold

ALGEBRAIC COMBINATORICS, 8(3), 619–653.

By: C. Velasquez, N. Bergeron, L. Colmenarejo*, F. Saliola & F. Sottile

author keywords: Murnaghan-Nakayama rule; Schubert calculus; Schubert polynomials; quantum cohomology
topics (OpenAlex): Advanced Combinatorial Mathematics; Algebraic structures and combinatorial models; Advanced Mathematical Identities
Source: Web Of Science
Added: July 28, 2025

2025 journal article

Quantum Berezinian for quantum affine superalgebra U<i><sub>q</sub></i>((<i>gl</i>)over-cap<sub><i>M</i>|<i>N</i></sub>)

LETTERS IN MATHEMATICAL PHYSICS, 115(4).

By: N. Jing* , Z. Li & J. Zhang

author keywords: Quantum affine superalgebras; Center; Berezinian; Liouville-type theorem; Minor identities
topics (OpenAlex): Algebraic structures and combinatorial models; Advanced Topics in Algebra; Nonlinear Waves and Solitons
Sources: Web Of Science, NC State University Libraries
Added: July 28, 2025

2025 journal article

Robust parameter estimation for rational ordinary differential equations

APPLIED MATHEMATICS AND COMPUTATION, 509.

By: O. Bassik, Y. Berman, S. Go, H. Hong* , I. Ilmer, A. Ovchinnikov, C. Rackauckas, P. Soto, C. Yap

author keywords: Parametric ODE models; Parameter estimation; Differential algebra; Symbolic-numeric differentiation; Mathematical software
topics (OpenAlex): Control Systems and Identification; Advanced Control Systems Optimization; Probabilistic and Robust Engineering Design
Sources: ORCID, Web Of Science, NC State University Libraries
Added: July 28, 2025

2025 journal article

Software for Analysis of Heart Rate and Blood Pressure Time-series Data from the Valsalva Maneuver

JOVE-JOURNAL OF VISUALIZED EXPERIMENTS, (220).

By: T. Jones n, A. Hristovska * & M. Olufsen n

co-author countries: Denmark 🇩🇰
MeSH headings : Valsalva Maneuver / physiology; Humans; Heart Rate / physiology; Software; Blood Pressure / physiology; Electrocardiography / methods; Baroreflex / physiology
topics (OpenAlex): Heart Rate Variability and Autonomic Control; Cardiovascular Syncope and Autonomic Disorders; Non-Invasive Vital Sign Monitoring
Source: Web Of Science
Added: July 28, 2025

2025 journal article

Thermocapillary ultrathin self-rewetting film flows down a rotating fibre

PHYSICA D-NONLINEAR PHENOMENA, 481.

By: S. Chattopadhyay* 

author keywords: Self-rewetting fluids; Rotating fibre; van der Waals forces; Stability analysis
topics (OpenAlex): Fluid Dynamics and Thin Films; Fluid Dynamics and Heat Transfer; Surface Modification and Superhydrophobicity
Sources: ORCID, Web Of Science, NC State University Libraries
Added: July 28, 2025

2025 journal article

Geometry of Continuous Adjoint Newton's Method for Bivariate Quadratics

Maple Transactions, 5(3).

By: J. Hauenstein, C. Hills, H. Hong*  & F. Carrion

topics (OpenAlex): Advanced Numerical Analysis Techniques; Iterative Methods for Nonlinear Equations; Advanced Measurement and Metrology Techniques
Source: ORCID
Added: July 25, 2025

2025 journal article

How population control of pests is modulated by density dependence: The perspective of genetic biocontrol

JOURNAL OF THEORETICAL BIOLOGY, 614.

By: C. Butler n & A. Lloyd n 

author keywords: Population dynamics; Genetic biocontrol; Gene drives; Density dependence; Mathematical model; Population control
topics (OpenAlex): Insect behavior and control techniques; Insect-Plant Interactions and Control; Insect symbiosis and bacterial influences
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
2. Zero Hunger (OpenAlex)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: July 25, 2025

2025 journal article

Lipschitz Stability of Travel Time Data

JOURNAL OF GEOMETRIC ANALYSIS, 35(8).

By: J. Ilmavirta *, A. Kykkanen *, M. Lassas *, T. Saksala n & A. Shedlock n

co-author countries: Finland 🇫🇮
author keywords: Geometric inverse problems; Length spaces; Gromov-Hausdorff distance; Isometric embeddings
topics (OpenAlex): Numerical methods in inverse problems; Advanced Mathematical Modeling in Engineering; Geometric Analysis and Curvature Flows
Source: Web Of Science
Added: July 21, 2025

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