University of North Texas 
Master's and Doctoral Defenses
Learn about the exciting research our graduate students are preparing to defend in their final steps toward earning their degree in mathematics.
Upcoming Events
| 2025-6-16 | Isaac Bancroft, PhD | GAB 461 |
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Resolutions of Ore Extensions Resolutions provide important tools for studying the homology and deformation theory of non-commutative algebras, so one desires convenient, finite resolutions to work with. We construct resolutions for noncommutative PBW algebras that arise iteratively from setting quantum or skew commutators to lower order terms, like Weyl algebras, shift algebras, skew polynomial rings, many universal enveloping algebras and others. To do so, we extend a quantum summarization map to a chain map between resolutions, allowing us to take advantage of the twisted product resolution for twisted tensor product algebras. |
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Recent Events
| Date | Speaker | Title |
| 2025-5-23 | Camma Smith, PhD | Radial Fourier Coefficient Formulas for Siegel Paramodular Forms |
| 2025-3-21 | Justin Swain, PhD | On Accurate and Efficient Numerical Schemes for Energy Based Systems with Applications to Liquid Crystals and Mixtures of Fluids |
| 2025-3-18 | Yutaro Yokoyama, MS | The Lorenz System |
| 2025-2-21 | Cameron Bernstein, MS | Conjugate Priors and Exact Credibility for Exponential Families |
| 2025-1-15 | Nathan Dalaklis, PhD | Multifractal Analysis of Birkoff Averages for Conformal Graph Directed Markov Systems |
| 2024-10-24 | Martin Guild, MS | Kempe's Universality Theorem and Infinitely-Sized Linkages |
| 2024-6-21 | Ifeanyichukwu (Valentine) Ukenazor, PhD | Scale Invariant Equations and Its Modified EM Algorithm for Estimating A Two-Component Mixture Model |
| 2024-6-20 | Jill Kaiser, PhD | Club Isomorphisms Between Subtrees of Aronszajn Trees |
| 2024-6-18 | Johanson Berlie, MS | Graph self-similarity and the Hausdorff dimension of the Heighway Dragon boundary |
| 2024-6-7 | James Atchley, PhD | Questions Involving Countable Intersection Games |
| 2024-3-20 | Jacob Williams, MS | Ramanujan Congruences for the Partition Function |
| 2024-3-20 | Aaron Jackson, MS |
A Tree-based Discrete Time Model for Jump Diffusion Option Valuation |
| 2024-2-28 | Brandon Mather, MS |
Quantum Group Actions and Hopf Algebras |
| 2023-12-12 | Helena Tiller, MS |
The Subgroup Structure of GL(2, p) for p a prime |
| 2023-10-30 | Xuan Nguyen, MS |
Hidden Markov Models with Applications |
| 2023-10-30 | Ugochukwu (Oliver) Adiele, PhD |
Option Pricing Under New Classes of Jump-Diffusion Processes |