PhD Students
| PhD | Dissertation Title | Grad year | Time to Degree | Advisor | Current Position |
| Dana Ferranti | 2023 | ||||
| Zachary Bradshaw | Explorations in mathematical physics | 2023 | 5 | Moll | Research Scientist, Dept of Defense |
| Thai Nguyen | Symbolic powers of monomial ideals and ideals of points | 2022 | 5 | Ha | Postdoc, McMaster University |
| Vaishavi Sharma | Studies on the valuation of sequences | 2022 | 6 | Moll | Postdoc, Ohio State University |
| Aram R. Bingham | Clans, Sects, and Symmetric Spaces of Hermitian Type | 2021 | 6 | Can | Colorado School of Mines |
| Rosa Maria Fuster Aguilera | Qualitative Analysis of a PDE Model for Chemotaxis with Logarithmic Sensitivity and Logistic Growth | 2021 | 5 | Zhao | Postdoc, University of Colorado - Boulder |
| Yiyang She | Strong Gelfand Subgroups of Z/p Sn | 2021 | 5 | Can | Math Olympiad Trainer, Shanghai, China |
| Sankhaneel Bisui | Stable Harbourne-Huneke Containment and Lower Bounds on Waldschmidt Constant | 2021 | 5 | Ha | Postdoc, University of Manitoba |
| Joseph W. Skelton | Symbolic Powers of Squarefree Monomial Ideals Associated to Graphs | 2021 | 5 | Ha | Postdoc, Clemson University |
| Abu Chackalamannil Thomas | Regularity and Resurgence Number of Homogeneous Ideals | 2021 | 6 | Ha | Faculty, Dickinson College |
| Kristina Vandusen | A Comparison of Negative-Dimensional Integration Techniques | 2021 | 6 | Moll | Faculty, Southeastern Louisiana University |
| Diego Villamizar Rubiano | Combinatorial and Arithmetical properties of families of sequences | 2021 | 5 | Moll | |
| Tien Minh Le | Diagonal Orbits in Double Flag Varieties | 2020 | 6 | Can | Lecturer, Tulane University |
| Jaime Lopez-Merizalde | Optimized Reduced Models for Discrete Fracture Networks Used in Modeling Particle Flow and Transport | 2020 | 7 | Hyman | Machine Learning Intern, SharpestMinds |
| Jonathan L. O'Rourke | Local Cohomology and Regularity of Powers of Monomial Ideals | 2020 | 5 | Ha | Faculty, New Mexico State University |
| Robyn K. Brooks | Arrow Polynomials as the Limits of Configuration Space Integrals | 2020 | 5 | Komendarczyk | Postdoc, Boston College |
| Pengfei Li | Statistical Models for the Analysis of Whole Genome Bisulfite Sequencing Datasets | 2020 | 6 | Lacey | Data Scientist, VISA |
| Lin Li | Improved Quasi-Monte Carlo Methods for Integrating High Dimension Functions | 2020 | 5 | Hyman | Research Engineer, TUSimple |
| Sushovan Majhi | Topological Methods in Shape Reconstruction and Comparison | 2020 | 6 | Wenk | Postdoc, UC - Berkeley |
| Benjamin Cooper Boniece | On Scale Invariance and Wavelet Analysis: Transience, Operator Fractional Levy Motion and High-Dimensional Inference | 2019 | 6 | Didier | Faculty, Drexel University |
| Melanie Jensen | Inference of Biophysical States of Microparticles From Particle Tracking Data | 2019 | 5 | McKinley | |
| Lukasz Sikora | Subdiffusion Through Switching | 2019 | 7 | McKinley | Data Scientist, Kaggle |
| Yunqi Zhao | The Effect of Spatial Structure on the Persistence of Stem Cell Populations | 2019 | 5 | McKinley | Statistician, Takeda |
| Zhe Qu | High-Dimensional Statistical Data Integration | 2019 | 5 | Hyman | |
| Li Guan | Improving Infectious Disease Transmission Models That Account for Variations in Transmissibility and Behavior | 2019 | 4 | Hyman | Risk Manager, Citi |
| Safak Ozden | Stability of the Centers of the Symplectic Group Rings Z[S_p_2n(q)] | 2019 | 5 | Ha | |
| Asma Azizi Boroojeni | Mathematical Models for Predicting and Mitigating the Spread of Chlamydia Sexually Transmitted Infection | 2018 | 6 | Hyman | Faculty, Kennesaw State University |
| Ellis K. Fenske | Anonymity and Linkability | 2018 | 7 | Mislove | Faculty, US Naval Academy |
| Aleksandra Gorzycka | Bayesian Updating and Statistical Inference for Beta-Binomial Models | 2018 | 6 | Lacey | Faculty, University of Miami |
| Roseanna Gossmann | The Elastohydrodynamics of Simplified Model of Human Birth | 2018 | 5 | Fauci | Teacher, Bard High School |
| Tri Ngo | A Rigorous Proof of Some Heuristic Rules in the Method of Brackets to Evaluate Definite Integrals | 2018 | 5 | Moll | Faculty, University of New Orleans |
| Hung Dang Nguyen | Anomalous Diffusion and the Generalized Langevin Equation | 2018 | 3 | McKinley | Postdoc, UCLA |
| Fang Sun | Topological Symmetries of R3 | 2018 | 6 | Kwasik | |
| Ozlem Ugurlu | Counting Borel Orbits in Classical Symmetric Varieties | 2018 | 5 | Can | Faculty, Saint Louis University |
| Selvi Beyarslan | Regularity of Powers of Edge Ideals | 2017 | 5 | Ha | Faculty, University of South Alabama |
| Xiao Guan | Methods in Symbolic Computation and p-Adic Valuations of Polynomials | 2017 | 5 | Moll | Data Scientist, eBay |
| Selcuk Karakoc | On Minimum Homotopy Areas | 2017 | 4 | Tipler | Data Scientist, Source |
| Aashita Kesarwani | Theory of the Generalized Modified Bessel Function Kz,w (X) and 2-Adic Valuations of Integer Sequences | 2017 | 5 | Moll | Data Scientist, Harvey Mudd College |
| Hui Li | Wavelet-Based Estimation for Gaussian and Non-Gaussian Mixed Fractional Processes | 2017 | 5 | Didier | Statistician, Johnson & Johnson |
| Forest Mannan | Singly-Periodic Flow and Simulation of Cilia | 2017 | 5 | Cortez | Faculty, Western Colorado University |
| Kui Zhang | Asymptotic Theory For the Statistical Analysis of Anomalous Diffusion in Single Particle Tracking Experiments | 2017 | 5 | Didier | |
| Shanshan Jiang | A Simple Model of Oscillators Coupled Through Fluid: Effect of Reynolds Number | 2016 | 6 | Fauci | Data Scientist, Nestle |
| Lin Jiu | The Method of Brackets and the Bernoulli Symbol | 2016 | 5 | Moll | Faculty, Duke Kunshan University |
| Zhuolin Qu | Fast Operator Splitting Methods for NonLinear PDEs | 2016 | 5 | Kurganov | aculty, University of Texas - San Antonio |
| Mengyao Sun | Algebraic Properties of Squarefree Monomial Ideals | 2016 | 5 | Ha | |
| Tong Wu | Adaptive Moving Mesh Central-Upwind Schemes | 2016 | 5 | Kurganov | Faculty, University of Texas - San Antonio |
| Elham Ahmadi | Boundary Intergral Formulation for Flows Containing an Interface Between Two Porous Media | 2016 | 6 | Cortez | |
| Yuanzhen Cheng | Central-Upwind Schemes | 2016 | 5 | Kurganov | |
| Tyler C. Barker | A Monad For Randomized Algorithms | 2016 | 5 | Mislove | |
| Shumo Cui | Well-Balanced Central Upwind Schemes | 2015 | 5 | Kurganov | Faculty, SUSTech |
| Franz Hoffmann | A Numerical Method for Doubly-Periodic Stokes Flow in 3D with and without a Bounding Plane | 2015 | 5 | Cortez | Software Developer, SAP |
| Kelley Brook Johnson | Multiplicativity of the Euler Characteristic | 2015 | 4 | Kwasik | |
| Huicong Li | Reaction Diffusion Equations on Domians with Thin Layers | 2015 | 5 | Wang | Faculty, Sun Yat-Sen University |
| Andreas V. Michaelides | Lower Bounds for RopeLength of Links Via Higher Linking Numbers and Other Finite Type Invariants | 2015 | 6 | Komendarczyk | |
| Qiang Yang | Macroscopic Fiber Motion in a Polymeric Fluid Driven by a Four Roll Mill | 2015 | 5 | Fauci | Data Scientist, Camden Coalition of Healthcare Providers |
| Dmitry V. Kurochkin | Numerical Method for Constrained Optimization Problems Governed by Nonlinear Hyberbolic Systems of PDEs | 2015 | 9 | Kurganov | Research Analyst, Harvard University |
| Peter L. Bierhorst | A Mathematical Foundation for Locality | 2014 | 6 | Mislove | Faculty, University of New Orleans |
| Jianjun Huang | The Interaction Between Toroidal Simmers in Stokes Flow | 2014 | 5 | Fauci | |
| Qingyang Luo | Integrated Analysis of Genomic and Longitudinal Clinical Data | 2014 | 5 | Lacey | |
| Tian Xiang | Global Dynamics of the Local and Nonlocal Patlak-Keller-Segel Chemotazis Systems | 2014 | 4 | Wang | Faculty, Remmin University |
| K. Nicole Meyer | Distance-weighted neighboring sites models for methylation pattern inheritance | 2013 | Lacey | Faculty, Georgetown University | |
| Tim Twelbeck | Shellability of the Bruhat Order on Borel Orbit Closures | 2013 | 5 | Can | |
| Armin Straub | Arithmetic aspects of random walks and methods in definite integration | 2012 | 6 | Moll | Faculty, University of South Alabama |
| Hoang-Ngan Nguyen | Error-reducing corrections for the method of regularized Stokeslet for fluid-membrane interactions | 2012 | Cortez | Faculty, Miami-Dade College | |
| Jason M. Miller | Central-upwind schemes for shallow water models and tsunami wave dynamics | 2012 | 5 | Kurganov | Lab Staff, Johns Hopkins University |
| Jason Calmes | Estimating the probability of accurate phylogeny reconstruction by quartet aggregation | 2012 | Lacey | Faculty, Tulane University | |
| Jeffrey D. Pullen | Complete coverage probability of polyhedra | 2012 | Komendarczyk | Faculty, Mercer University | |
| Michael J. Pollack | Semi-discrete central-upwind schemes for elasticity in a heterogeneous media | 2012 | Kurganov | Faculty, Columbia State Community College | |
| Marian Hernandez-Viera | A method to model membrane permeability | 2012 | 6 | Cortez | Faculty, University of South Florida |
| Shanshan Shen | Error analysis on the blob projection method for immersed boundary problems | 2012 | Cortez | ||
| Yu Liu | Numerical approximations of nonlinear hyperbolic conservation laws | 2012 | Kurganov | ||
| Qi Wang | Reaction-diffusion systems involving cross-diffusions | 2012 | 5 | Wang | Faculty, Southwestern University of Finance and Economics |
| Augustine B. O'Keefe | Cohen-Macaulay toric rings arising from finite graphs | 2012 | 6 | Ha | Faculty, Connecticut College |
| Cody Pond | Effective Boundary Conditions on Coated Bodies | 2011 | 5 | Wang | |
| Charles D. Maggio | Interactions of calcium dynamics, muscle forces, and tissue properties in a model of uterine fluid flow and embryo transport | 2011 | 5 | Cummins Lab Director, University of Oregon | |
| Johnny Feng | Domain Theoretic Structures in Quantum Information Theory | 2011 | Martin, Mislove | ||
| Karen T. Kohl | Algorithmic methods for definite integration | 2011 | Moll | Faculty, University of Southern Mississippi | |
| Patrick Corbin | Tangential stabilization of spherical spaceforms | 2011 | 5 | Kwasik | Database Developer, Greenup Industries |
| Todor Todorov | Desuspending involutions on S1 times Sn. Concordance classes of homeomorphisms of S1 times RPn | 2011 | Kwasik | ||
| Xiangfeng Yang | Large Deviation Expansions | 2011 | 4 | Didier | |
| Sarah R. Lukens | Using Lagrangian methods to analyze flow structures in biological fluid dynamics | 2010 | 6 | Gaver | Data Scientist, LMI |
| Stefan T. Boettner | Mixed transcendental and algebraic extensions for the Risch-Norman algorithm | 2010 | Moll | ||
| Priya S. Boindala | New minimal representations of self propelled swimmers in low Reynolds number regime using regularized fundamental solutions with applications to collective flow | 2010 | Gaver | Faculty, Georgia Gwinett College | |
| Benjamin A. Vanderlei | Error estimation for interface problems | 2008 | 6 | Fauci | Faculty, University of the Fraser Valley |
| Vivian A. Aranda | Computational modeling of peristaltic pumping using the method of regularized Stokeslets | 2008 | 8 | Fauci | Faculty, Federico Santa Maria Technical University |
| Magdalena M. Musielak | A computational model of nutrient transport and acquisition by diatom chains in a moving fluid | 2007 | 6 | Fauci | Faculty, Gdansk University of Technology |
| Svetlana Tlupova | Improved accuracy of numerical solutions of coupled Stokes and Darcy flows based on boundary integrals | 2007 | 6 | Cortez | Faculty, Farmingdale State College |
| Dante V Manna | An extension of Landen transformations | 2006 | 5 | Moll | |
| Joel Webb | Stabilization of spherical space forms | 2006 | Kwasik | Faculty, University of New Orleans | |
| Emily Wilson Gamundi | Region of two solutions for asymmetric networks with dynamic routing | 2004 | 4 | Dinwoodie | |
| Katarzyna A. Rejniak | A computational model of the mechanics of growth of a trophoblast tissue | 2002 | 6 | Fauci | Researcher, Moffitt Cancer Center |
| Hong Liu | Goodness-of-fit tests for accelerated life models with right censored data | 2001 | 6 | Ren | |
| Jorge Eduardo Macias-Diaz | Projectivity and complete decomposability of modules over domains | 2001 | Fuchs | Faculty, Tallinn University | |
| Keye Martin | A foundation for computation | 2000 | 6 | Mislove | Faculty, Concord University |
Master Students
| MS Student | Dissertation Title | Grad Year | Time to Degree | Advisor | Current Position |
| Keyan Chen | Non-thesis | 2023 | 2 | ||
| Zehao Wang | Non-thesis | 2023 | 2 | ||
| Benjamin Stager | Semi-implicit time integration for partial differential equations and the method of regularized stokeslets | 2023 | 1 | Buvoli | |
| TH Williamson | 2023 | 1 | Mincheva | ||
| Joseph Woods | Age not apathy | 2023 | 1 | McKinley | PhD, Rice University |
| Haoqi Chen | Non-thesis | 2022 | 2 |
Data Scientist, Pharmaron |
|
| Cong Zhao | Non-thesis | 2022 | 2 | Research Staff, Tulane University | |
| Haiyu Niu | Non-thesis | 2022 | 2 | PhD, Jilin University | |
| Langyu Qie | Non-thesis | 2021 | 2 | ||
| Yao Tang | Non-thesis | 2021 | 2 | PhD, York University | |
| Tian Dai | Non-thesis | 2021 | 2 | PhD, University of Pittsburgh | |
| Jack Green | On the De Silva-Ghrist homological coverage criteria for planar sensor networks | 2021 | 1 | Komendarczyk | PhD, University of Georgia |
| Eric Junhyup Sung | Mathematics and applications of Feynman diagrams | 2021 | 1 | Moll | PhD, Arizona State University |
