Papers produced by NC State mathematics graduate students (graduation date after January 2025).

• A. Betz (Ph.D. advisor: Corey Jones):
  • A. Betz, Weak Hopf algebra actions as fusion category actions, submitted, https://arxiv.org/abs/2510.07114.
  • A. Betz, Actions of fusion categories on path algebras, submitted, https://arxiv.org/abs/2503.18630.
• M. Broussard (Ph.D. advisor: L. Bociu):
  • L. Bociu, M. Broussard, G. Guidoboni, and S. Strikwerda, Analysis of a multiscale interface problem based on the coupling of partial and ordinary differential equations to model tissue perfusion, Multiscale Modeling and Simulation, vol. 23, pp. 1-24, 2025.
  • L. Bociu, M.Broussard, G. Guidoboni, D. Prada, and S. Strikwerda, Comparing interface conditions for a 3D-0D multiscale interface couplings with applications in tissue perfusion, International Journal for Numerical Methods in Biomedical Engineering, vol. 41, art. e70017 (18 pp.), 2025.
  • L. Bociu, M. Broussard, and S. Strikwerda, Existence and uniqueness of weak solutions to multiscale interface couplings based on the coupling of PDEs and ODEs for tissue perfusion, Journal of Mathematical Analysis and Applications, vol. 558, art. 130409 (21 pp.), 2026.
• F. P. Carrión (Ph.D. advisor: Seth Sullivant):
  • F. P. Carrión and S. Sullivant, Marginal independence and partial set partitions, ACM Communications in Computer Algebra, vol. 58, pp. 62-66, 2025.
  • J. Hauenstein, C. Hills, H. Hong, and F. P. Carrión, Geometry of continuous adjoint newton’s method for bivariate quadratics, Maple Transactions, vol. 5, art. 22493 (15 pp.), 2025.
• J. Chen (Ph.D. advisors: A. Saibaba and H. Ji):
  • J. Chen, H. Ji, and A. K. Saibaba, Optimal experimental design for Gaussian processes via column subset selection, submitted, https://arxiv.org/abs/2601.20781
• A. Chowdhary (Ph.D. advisor: A. Alexandarian):
  • A. Chowdhary, S. Tong, G. Stadler, and A. Alexanderian, Sensitivity analysis of the information gain in infinite-dimensional Bayesian linear inverse problems, International Journal for Uncertainty Quantification, vol. 14, pp. 17-35, 2024.
• D. Cornejo (Ph.D. advisor: P. L. Combettes):
  • P. L. Combettes and D. J. Cornejo, Proximal comixture minimization models for image recovery and data analysis, submitted, https://arxiv.org/abs/2403.09610
  • D. J. Cornejo, Resolvent compositions for positive linear operators, Positivity, to appear. 
  • P. L. Combettes and D. J. Cornejo, Variational analysis of proximal compositions and integral proximal mixtures, Evolution Equations and Control Theory, vol. 17, pp. 106-139, 2026.
  • D. J. Cornejo, Parametrized families of resolvent compositions, Set-Valued and Variational Analysis, vol. 33, art. 6, 24 pp., 2025.
  • P. L. Combettes and D. J. Cornejo, Signal recovery with proximal comixtures, Proceedings of the European Signal Processing Conference, pp. 2637-2641. Lyon, France, August 26-30, 2024.
• I. Dobes (Ph.D. advisor: N. Jing):
  • I. Dobes and N. Jing, Local unitary equivalence of tripartite quantum states in terms of trace identities, Quantum Information Processing, vol. 24, 158, 2025.
  • I. Dobes and N. Jing, Cayley’s first hyperdeterminant is an entanglement measure, submitted, https://arxiv.org/abs/2504,15511
• L. B. Ebby (Ph.D. advisor: M. Farazmand):
  • C. All, K. Ho,  M. Magnuski, C. Nicolaides, L. B. Ebby, and M. Farazmand, Rapid estimation of global sea surface temperatures from sparse streaming in situ observations, submitted, https://arxiv.org/abs/2601.21913L.
  • L. B. Ebby and M. Farazmand, Discrete empirical interpolation method with upper and lower bound constraints, submitted, https://arxiv.org/abs/2509.16018
• M. Elpers (Ph.D. advisor: T. Lidman):
  • M. Elpers,  Non-characterizing slopes for more 3-manifolds, submitted, https://arxiv.org/abs/2510.05412
• E. Ftaka (Ph.D. advisors: L. Bociu and K. T. Nguyen):
  • L. Bociu, E. Ftaka, K. T. Nguyen, and J. Schino, Piecewise regular solutions to scalar balance laws with singular source terms, Journal of Differential Equations, vol. 409, pp 181-222, 2025.
• J. E. Garrison (Ph.D. advisor: I. C. Ipsen):
  • J. E. Garrison and I. C. Ipsen, Perturbation analysis for preconditioned normal equations in mixed precision, submitted, https://arxiv.org/pdf/2603.16644
  • J. E. Garrison and I. C. Ipsen, A randomized preconditioned Cholesky-QR algorithm, submitted, https://arxiv.org/pdf/2406.11751
• J. Graf (Ph.D. advisor: N. Jing):
  • J. Graf and N. Jing, Pfaffian formulation of Schur’s Q-functions, J. Algebra, vol. 669, pp. 1-25, 2025.
  • J. Graf and N. Jing, Plethysm stability of Schur’s Q-functions, Algebra and Representation Theory 29, pp. 127-151, 2026.
  • J. Graf, Constructing Hall-Littlewood functions via a deformation of the Bernstein operator, submitted, https://arxiv.org/abs/2511.01114
• P. Haughey (Ph.D. advisor: S. Tsynkov):
  • P. Haughey, M. Gilman, AND S. Tsynkov, Statistical analysis of performance of optimization-based SAR autofocus, IET Radar, Sonar & Navigation, vol. 19, art. e70030 (18 pp.), 2025.
  • A. R. Wenzel, P. M. Haughey, K. C. Nguyen, J. T. Nardini, J. M. Haugh, and K. B. Flores, Topologically-based parameter inference for agent-based model selection from spatiotemporal cellular data, submitted, https://www.biorxiv.org/content/10.1101/2025.06.13.659586v2
  • P. Haughey, M. Gilman, and S. Tsynkov, Statistical study of SAR transionospheric autofocus procedure, Proceedings of the IEEE International Radar Conference, pp. 1-5. Georgia, USA, May 3-9, 2025.
• Z. T. Hilliard (Ph.D. advisor: M. Farazmand):
  • Z. T. Hilliard and M. Farazmand, Sequential data assimilation for PDEs using shape-morphing solutions, Journal of Computational Physics, vol. 533, art. 113994 (18 pp.), 2025Z.
  • T. Hilliard and M. Farazmand, Enforcing conserved quantities in Galerkin truncation and finite volume discretization, Nonlinear Dynamics, vol. 112, pp. 14051-14069, 2024.
• A. Johnson (Ph.D. advisor: M. S. Olufsen):
  • A. Johnson, C. R. Mazo, D. F. Archer, M. A. Audette, and M. S. Olufsen, A phenomenological model of the endometrial cycle: Sensitivity analysis of prostaglandin imbalances in heavy menstrual bleeding, Annual Modeling and Simulation Conference, pp. 1-12, Madrid, Spain, 2025.
• B. Kagy (Ph.D. advisor: Seth Sullivant):
  • B. Kagy and S. Sullivant, Equidistant circular split networks, SIAM Journal on Applied Algebra and Geometry, vol. 9, pp. 1-32, 2025.
  • Y. Alexandr, M. Bakenhus, M. Curiel, S. K. Deshpande, E. Gross, Y. Gu, M. Hill, J. Johnson, B. Kagy, V. Karwa, J. Li, H. Lyu, S. Petrović, Sonja, and J. I. Rodriguez, New directions in algebraic statistics: Three challenges, Algebraic Statistics, vol. 15, pp. 357–382, 2024.
  • B. Kagy and S. Sullivant, Identifiability of large phylogenetic mixtures for many phylogenetic model structures, submitted, https://arxiv.org/abs/2508.05832
  • D. Barnhill, M. Garrote-Lopez, E. Gross, M. Hill, B. Kagy, J. Rhodes, and J. Zhang. Methodological considerations for semialgebraic hypothesis testing with incomplete u-statistics, submitted, https://arxiv.org/abs/2507.13531
• A. W. Khan (Ph.D. advisor: A. Saibaba):
  • A. Khan and A. K. Saibaba, Parametric kernel low-rank approximations using tensor train decomposition, SIAM Journal on Matrix Analysis and Applications, vol. 46, pp 1006-1036, 2025.
  • A. Khan, C. Chen, V. Rao, and A. K. Saibaba, Parametric hierarchical matrix approximations to kernel matrices, submitted, https://arxiv.org/pdf/2511.03109
• I. Klein (Ph.D. advisor: L Colmenarejo):
  • L Colmenarejo and I Klein, The total chromatic quasisymmetric functions of a graph, submitted, https://arxiv.org/abs/2601.23170
  • S. Daugherty, P. E. Harris, and I. Klein, and M. McClinton, Metered parking functions, Integers, vol. 25, A73, 2025.
• J. Kolesar (Ph.D. advisor: P. McGrath):
  • C. Hines, J. Kolesar, and P. McGrath, New homogeneous solutions for the one-phase free boundary problem, submitted, https://arxiv.org/pdf/2509.09409
• N. Lanier (Ph.D. advisor: Corey Jones):
  • N. Lanier, Anomalous actions of groups on tensor categories, submitted, https://arxiv.org/abs/2505.01826.
• T. Larsen (Ph.D. advisor: A. Alexandarian):
  • T. Larsen and A Alexanderian, A new kernel-based index for the global sensitivity analysis of models with correlated inputs, submitted, https://arxiv.org/pdf/2603.00849
• J. Madariaga (Ph.D. advisor: P. L. Combettes):
  • J. I. Madariaga, Convergence of the iterates of the stochastic proximal gradient method, submitted, https://arxiv.org/abs/2604.13388
  • J. I. Madariaga, An abstract stochastic Haugazeau method for best approximation, submitted, https://arxiv.org/abs/2603.00891
  • P. L. Combettes and J. I. Madariaga, Asymptotic analysis of an abstract stochastic scheme for solving monotone inclusions, submitted, https://arxiv.org/abs/2512.03023
  • P. L. Combettes and J. I. Madariaga, A geometric framework for stochastic iterations, Mathematics of Computation, to appear.
  • P. L. Combettes and J. I. Madariaga, Almost-surely convergent randomly activated monotone operator splitting methods, SIAM Journal on Imaging Sciences, vol. 18, pp. 2177–2205, 2025.
  • P. L. Combettes and J. I. Madariaga, Stochastic block-iterative parallel subgradient projections method with super relaxations, Proceedings of the European Signal Processing Conference, pp. 2757–2761. Palermo, Italy, Sept. 8–12, 2025.
  • P. L. Combettes and J. I. Madariaga, Randomly activated proximal methods for nonsmooth convex minimization, Proceedings of the European Signal Processing Conference, pp. 2642–2646. Lyon, France, August 26–30, 2024.
• S. Maio (Ph.D. advisor: A. Alexandarian):
  • A. Alexanderian and S. Maio, Submodularity of the expected information gain in infinite-dimensional linear inverse problems, submitted, https://arxiv.org/pdf/2602.09285
• P. Martin II (Ph.D. advisor: R. Sazdanovic):
  • P. Martin II and R. Sazdanovic, Torsion in magnitude homology theories, submitted, https://arxiv.org/abs/2503.11976
• J. Mayrand (Ph.D. advisor: P. L. Combettes):
  • P. L. Combettes and J. N. Mayrand, Lower bounds on the Haraux function, Journal of Approximation Theory, vol. 315, art. 106284, (28 pp.), 2026.
• E. Meike (Ph.D. advisor: T. Lidman): 
  • J. Carney and E. Meike, Constructing and cataloging 2-adjacent knots, submitted, https://arxiv.org/abs/2510.00291
• R. Morris (Ph.D. advisor: R. Murray):
  • S. Huebler, R. Morris, and J. Rusinko, Constructing semi-directed level-1 phylogenetic networks from quarnets, Involve, to appear.
  • R. Morris and R. Murray, Uniform convergence of adversarially Robust classifiers, European Journal of Applied Mathematics, to appear.
• A. Murdza (Ph.D. advisor: K. T. Nguyen):
  • A. Murdza and K.T. Nguyen,  A sharp  quantitative estimate of critical sets, submitted, https://arxiv.org/abs/2405.17107
  • A. Murdza, K.T. Nguyen, and E. Phillips, Hausdorff measure of zeros of nontrivial multivariable  polynomials, Bulletin des Sciences  Mathématiques, vol. 204, art. 103681 (8 pp.), 2025.
  • A. Murdza and K.T. Nguyen, A quantitative version of the transversality theorem, Communications in Mathematical Sciences, vol 21, pp. 1303-1320, 2023.
  • A. Murdza and K.T. Nguyen, A lower bound on the quantitative version of the transversality theorem, Journal of Mathematical Analysis and Applications, vol. 528, art. 127539 (11 pp.), 2023.
• Nutan Nepal (Ph.D. advisor: Jacob P. Matherne):
  • T. Braden, L. Ferroni, J. P. Matherne, and N. Nepal, Inverse Kazhdan–Lusztig polynomials of matroids under deletion, submitted, https://arxiv.org/abs/2510.01086.
• Molena Nguyen (Ph.D advisor: N. Jing):
  • M. Nguyen and N. Jing, Zassenhaus expansion in solving Schrodinger equations, submitted, https://arxiv.org/abs/2505.09441
  • N. Jing and M. Nguyen, Complexity bounds for Hamiltonian simulation in unitary representations, submitted, https://arxiv.org/abs/2603.07231
• M. Nuyten (Ph.D. advisor: B. Bakalov):
  • B. Tsvelikhovskiy, M. Nuyten, and B. N. Bakalov, Provable avoidance of barren plateaus for the quantum approximate optimization algorithm with grover mixers, submitted, https://arxiv.org/abs/2509.10424
• A. Pickarski (Ph.D. advisor: R. Murray):
  • R. Murray and A. Pickarski, On probabilistic embeddings in optimal dimension reduction, Journal of Machine Learning Research, vol. 26, pp. 1-39, 2025.
  • R. Murray and A. Pickarski, Large data limits and scaling laws for tSNE, submitted, https://arxiv.org/abs/2410.13063
  • R. Murray and A. Pickarski, On probabilistic embeddings in optimal dimension reduction, submitted, https://arxiv.org/abs/2408.02433
• D. Profili  (Ph.D. advisor:  H. Hong):
  • H. Hong, D. Profili, and R. Sendra,  Conditions for eigenvalue configurations of two real symmetric matrices (signature approach), submitted, 
    https://doi.org/10.48550/arXiv.2401.00866
  • H. Hong, D. Profili, and R. Sendra,  Conditions for eigenvalue configurations of two real symmetric matrices (symmetric polynomial approach), submitted, 
    https://doi.org/10.48550/arXiv.2401.00089
• E. Rutter (Ph.D. advisor: A. Manion):
  • A. Manion and E. Rutter, A symmetric monoidal Frohman-Nicas TQFT for
    sutured manifolds, submitted, https://arxiv.org/abs/2602.13552
• K. Schatz (Ph.D. advisor: Corey Jones):
  • K. Schatz, Boundary Symmetries of 2+1 D topological orders, Letters in Mathematical Physics, vol 115, art. 69 (29 pp.), 2025.
  • C. Jones, K. Schatz, and D. Williamson, Quantum cellular automata and categorical dualities of spin chains, Communications in Mathematical Physics, vol 407, art. 66 (29 pp.), 2026.
• Anna Shapiro (Ph.D. advisors: Yairon Cid-Ruiz and Jacob P. Matherne):
  • A. Shapiro, Three combinatorial algorithms for the cave polynomial of a polymatroid, submitted, https://arxiv.org/abs/2601.07697.
  • Y. Cid-Ruiz, J. P. Matherne, and A. Shapiro, Syzygies of polymatroidal ideals, submitted, https://arxiv.org/abs/2507.13153.
• A. Shedlock (Ph.D. advisor: T. Saksala): 
  • T. Saksala and A. Shedlock, An inverse problem for symmetric hyperbolic partial differential operators on complete Riemannian manifolds, submitted, https://arxiv.org/abs/2503.14676
  • M. Lassas, B. Liu, T. Saksala, A. Shedlock, and Z. Zhao, A Hyperbolic Inverse Problem for lower order terms on a closed manifold with disjoint data, SIAM journal on Applied Mathematics, to appear.
  • J. Ilmavirta, A. Kykkänen, M. Lassas, T. Saksala, and A. Shedlock, Lipschitz stability of the travel time data, Journal of Geometric Analysis, vol. 35, art. 244 (37 pp.), 2025.
• C. E. Thompson (Ph.D. advisors: L. Colmenarejo and B. E. Tenner):
  • L. Colmenarejo, B. E. Tenner, and C. E. Thompson, Cyclic sieving for a class of rectangular domino tableaux, submitted, https://arxiv.org/abs/2602.23343
• Sam Thornton (Ph.D. advisor: M. Haider):
  • S. R. Thornton, E. C. Acquesta, P. D. Finley, and M. A. Haider, A multi-region SEIR model incorporating inter-county mobility and time-dependent transmission dynamics: Application to COVID-19 disease outbreak data in North Carolina, Bulletin of Mathematical Biology, vol. 88, art. 39, 2026.
• T. Xue (Ph.D. advisor: K. Ito):
  • K. Ito and T. Xue, Reduced order method (rom) and Anderson acceleration for iterative scheme on semi ill-posed problems, submitted, https://arxiv.org/abs/2510.15097
  • K. Ito and T. Xue, Anderson-type acceleration method for deep neural network optimization, submitted, https://arxiv.org/abs/2510.20254
• Y. Wang (Ph.D. advisor: K. Misra):
  • Y. Wang, K. Misra, and N. Jing, State-independent uncertainty relations on multipartite spin $1/2$-systems, Journal of Physics A: Mathematical and Theoretical, to appear.
  • Y. Cao, N. Jing, K. Misra, and Y. Wang, Unified monogamy and polygamy relations for multipartite systems, Quantum Infornation Processing, vol, 25, art. 61, 2026.
  • Y. Cao, N. Jing, K. Misra, and Y. Wang, Superior monogamy and polygamy relations and estimates of concurrence, European Physical Journal Plus, vol. 140, art. 101, 2025.
  • Y. Cao, N. Jing, K. Misra, and Y. Wang, Tighter parameterized monogamy relations, Quantum Infornation Processing, vol, 23, art. 282, 2024.
• N. Xu (Ph.D. advisor: H. Tran):
  • N.  Xu and H. Tran, Control synthesis with reinforcement learning: a
    modeling perspective, submitted, https://arxiv.org/abs/2510.25063
• Z. Yu (Ph.D. advisor: H. Ji):
  • S. Chattopadhyay, Z. Yu, Y. Sungtaek Ju, and H. Ji, Dynamics of thin film flows on a vertical fibre with vapor absorption, submitted, https://arxiv.org/abs/2505.22379