PhD Dissertations in Mathematics
| Year of Graduation | Student | Supervising Professor | Dissertation Title |
|---|---|---|---|
| 2023 | Nisha Yadav | Anh Tran | THE ALGEBRAIC GEOMETRY OF CHARACTER VARIETIES OF DOUBLE TWIST LINKS |
| 2023 | Russell Hart | Yifei Lou | Sparsity, Graph Neural Networks and Uncertainty Quantification |
| 2023 | Bradley Meyer | Anh Tran | LEFT ORDERABILITY OF CYCLIC BRANCHED COVERS OF RATIONAL KNOTS |
| 2023 | Nishamani Lashika Rajapaksha | Janos Turi | OPTIMAL CONTROL OF HUMAN BALANCE MODELS WITH REFLEX DELAY |
| 2023 | Hari Prasad Sitaula | Carlos Arreche | Algorithms to Compute Discrete Residues of a Rational Function |
| 2022 | Sabindra Singh Bal | Viswanath Ramakrishna | INVESTIGATION INTO HIGHER DIMENSIONAL ROTATIONS |
| 2022 | Josean Albelo-Cortes | Oleg Makarenkov | ANALYSIS OF PLASTIC DEFORMATIONS IN LATTICE SPRING MODELS |
| 2022 | Jorge Garcia | Tomoki Ohsawa | STABILIZATION OF NONHOLONOMIC EULER–POINCARÉ MECHANICAL SYSTEMS WITH BROKEN SYMMETRY BY CONTROLLED LAGRANGIANS |
| 2022 | Ali Ahammed Mozumder | Susan Minkoff and John Zweck | MODELING AND SENSITIVITY ANALYSIS FOR TRACE GAS SENSORS |
| 2022 | Jonathan Popa | Susan Minkoff and Yifei Lou | SEISMIC DATA RECONSTRUCTION WITH LOW-RANK TENSOR OPTIMIZATION |
| 2022 | Adrian Murza | Zalman Balanov | Periodic Solutions to Reversible Second Order Autonomous DDES in Prescribed Symmetric Nonconvex Domains |
| 2022 | Augustine Annan | Janos Turi | Forecasting Stock Price Movements and Stock Trading Automation Using Deep Learning and Reinforcement Learning |
| 2022 | Buddhika Jayawardana | Tomoki Ohsawa | Geometric Integrators for Non-Separable Hamiltonian Systems |
| 2022 | Nirjal Sapkota | Janos Turi | Stability and bifurcation analysis of a delay differential equation modeling the human respiratory system |
| 2022 | Priyojit Palit | Nathan Williams | Dual Braid Presentations and Cluster Algebras |
| 2022 | Subas Acharya | Dmitry Rachinskiy and Alain Bensoussan | Analysis of Real Options and Wealth Management Problems using Non-smooth Variational Inequalities and Asymptotic Methods |
| 2022 | Vrushaly Shinglot | John Zweck | COMPUTATION AND STABILITY ANALYSIS OF PERIODICALLY STATIONARY PULSES IN A SHORT PULSE LASER |
| 2022 | Xiaoli Ye | Wieslaw Krawcewicz | Existence and Spatio-Temporal Patterns of Periodic Solutions to Non-Autonomous Second Order Equivariant Delayed Systems |
| 2021 | Abdoulaye Thiam | Janos Turi | ON INVENTORY CONTROL PROBLEMS WITH LEARNING |
| 2021 | Aleksandr Milogorodskii | Dmitry Rachinskiy and Michael Ruderman | A Deterministic Model for Non-Monotone Relationship Between Translation of Upstream and Downstream Open Reading Frames |
| 2021 | Alsadig Ali | Luis Felipe Pereira | MULTISCALE SAMPLING FOR SUBSURFACE CHARACTERIZATION |
| 2021 | Behshid Kasmaie | Mohammad Akbar | Symmetries of Einstein’s Equations in Vacuum and their Geodesics |
| 2021 | Cesar Contreras | Tomoki Ohsawa | Controlled Lagrangians and Stabilization of Euler-Poincaré Mechanical Systems with Broken Symmetry |
| 2021 | Che-Yu Wu | Mieczyslaw Dabkowski | Coefficients of Catalan States of Lattice Crossing |
| 2021 | Diarisoa Mihaja Rakotomalala | Mieczyslaw Dabkowski | B–TYPE CATALAN STATES OF LATTICE CROSSING |
| 2021 | Fariba Khoshnasib Zeinabad | Vladimir Dragovic | SOME TOPOLOGICAL ASPECTS OF INTEGRABLE RIGID BODY DYNAMICS |
| 2021 | Fatih Gelir | Vish Ramakrishna | IDENTIFICATION OF LINEAR CONTROL SYSTEMS VIA GRADIENT DESCENT |
| 2021 | Izuchukwu Amos Eze | Wieslaw Krawcewicz | Existence and bifurcation of sub-harmonic solutions in reversible non-autonomous differential equations |
| 2021 | Mehdi Akhavan | Yifei Lou | PHASE RETRIEVAL BY ALTERNATING DIRECTION METHOD OF MULTIPLIERS |
| 2021 | Mengqi Hu | Yifei Lou | A General Framework of Non-Convex Models for Sparse Recovery with Applications |
| 2021 | Prosper Akrobotu | Mohammad Akbar | QUANTUM SEARCH ON MOLECULAR GRAPHS AND WORD-REPRESENTABLE LINE GRAPHS |
| 2021 | Rajendra K. C. Khatri | Yan Cao | CELL NUCLEI SEGMENTATION USING DEEP LEARNING TECHNIQUES |
| 2021 | Samiha Rouf | Dmitry Rachinskiy and Jana Kopfova | Dynamics of Sir Model with Switching Transmission Rate and Vaccination Rate Characterized by a Relay System or Preisach Operator |
| 2021 | Siyuan Wang | Yan Cao | Bi-tensor Free Water Model with Positive Definite Diffusion Tensor and Fast Optimization |
| 2020 | Abdullah Al Mamun | Luis Felipe Pereira | An Assessment of Markov Chain Monte Carlo Methods for Fluid Flow Forecasting in the Subsurface |
| 2020 | Georgia Stuart | Susan Minkoff and Luis Felipe Pereira | Computationally Efficient methods for Uncertainty Quantification in Seismic Inversion |
| 2020 | Het Mankad | Luis Felipe Pereira | The Multiscale Perturbation Method for Two-Phase Flows in Porous Media |
| 2020 | Ivan Gudoshnikov | Oleg Makarenkov | ON THE STABILITY OF MOREAU’S SWEEPING PROCESS WITH APPLICATIONS TO NETWORKS OF ELASTOPLASTIC SPRINGS |
| 2020 | Joseph Burnett | Wieslaw Krawcewicz and Zalman Balanov | Global Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays |
| 2020 | Md Abu Helal | Viswanath Ramakrishna | MATHEMATICAL METHODS FOR ADVANCED PROBLEMS OF INVENTORY CONTROL |
| 2020 | Md Arafat Khan | Anh Tran | Left Orderability of Dehn Surgery on Odd Classical Pretzel Knots |
| 2020 | Md Mujibur Chowdhurv | Yifei Lou | Fractional-Order Total Variation Based Image Denoising, Deconvolution, and CT Reconstruction Under Poisson Statistics |
| 2020 | Samreen Khan | Viswanath Ramakrishna | Polar and Givens Decomposition and Inversion of the Indefinite Double Covering Map |
| 2020 | Samson Folarin | Viswanath Ramakrishna | Reservoir Characterization of Non Gaussian Field Using Combined Ensemble Based Method |
| 2020 | Sonam Lama | John Zweck and Matthew Goeckner | The Stochastic Weighted Particle Method for the Computation of the low Probability Tail of the Velocity Distribution in Spatially Homogeneous Plasmas |
| 2019 | Anani Adabrah Komla | Vladimir Dragovic | QUADRICS IN PSEUDO-EUCLIDEAN SPACES, INTEGRABLE BILLIARDS AND EXTREMAL POLYNOMIALS |
| 2019 | Charles Chika | M. Ali Hooshyar | A NON-ITERATIVE CONSTRUCTION OF A CLASS OF 2-D WAVE SPEED FROM FORWARD SCATTERING DAT |
| 2019 | Irina Berezovik | Wieslaw Krawcewicz | Classification of Nonlinear Vibrations in Symmertric Molecules: Equivariant Degree Method |
| 2019 | Pavel Kravetc | Dmitry Rachinskiy | APPLICATIONS OF TOPOLOGICAL AND PERTURBATION METHODS TO ANALYSIS OF PERIODIC SOLUTIONS IN DELAY-DIFFERENTIAL EQUATIONS: CLASSIFICATION OF SYMMETRIES, ASYMPTOTIC APPROXIMATION AND STABILIZATION |
| 2019 | Roger F. Ranomenjanahary | Vladimir Dragovic | GEOMETRIC AND COMBINATORIAL PROPERTIES OF NETS IN PLANE AND HIGHER-DIMENSIONS |
| 2019 | Shi Yu | Wieslaw Krawcewicz | EXISTENCE AND BIFURCATION OF PERIODIC SOLUTIONS IN SECOND ORDER NONLINEAR SYSTEM: BROUWER EQUIVARIANT DEGREE METHOD |
| 2018 | Artur Safin | John Zweck and Susan Minkoff | Modeling Trace Gas Sensors with the Coupled Pressure-Temperature Equations |
| 2018 | Edward Hooton | Dmitry Rachinskiy and Zalman Balanov | Existence and Stabilization of Periodic Solutions in Equivariant Systems |
| 2018 | Filip Jevtic | Vladimir Dragovic | Combinatorial Structure of Finite Metric Spaces |
| 2018 | Hao-Pin Wu | Zalman Balanov and Wieslaw Krawcewicz | Applications of Degree Theory to Dynamical Systems with Symmetry (with special focus on Computational Aspects and Algebraic Challenges) |
| 2018 | Jordan Kaderli | Susan Minkoff | An Analytic Solution to a coupled system of equations for Modeling Photoacoustic Trace Gas Sensors and a full Waveform Inversion Approach to Microseismic Source Information |
| 2018 | Lakmi N. W. Achchige | Oleg Makarenkov | Stability, Bifurcation, and Continuation Theory for Perturbed Sweeping Processes |
| 2017 | Eyram Kwame | Dmitry Rachinskiy | Mathematical Modeling for Applications in Economics |
| 2017 | Isnardo Arenas-Navarro | Susan Minkoff and Stefano Leonardi | Numerical Simulations for Turbulent Drag Reduction Using Liquid Infused Surfaces |
| 2017 | Pedro Perez-Nagera | Janos Turi | Numerical Solutions for a Class of Singular Neutral Functional Differential Equation |
| 2016 | Emily Herzig | Viswanath Ramakrishna | Spin Groups and Exponentiation |
| 2016 | Sonny Skaaning | Janos Turi and Alain Bensoussan | Inventory Control with Pricing Optimization in Continuous Time |
| 2016 | Yanping Chen | John Zweck and Matthew Goeckner | Computational Modeling of Collision Processes in Low Temperature Plasmas |
| 2015 | Farzan Jafeh | Mieczyslaw Dabkowski and Zalman Balanov | Congruence Principle for Brouwer Degree of Equivariant Maps between Solvable Group Representation Spheres |
| 2015 | Yanli Lv | Wieslaw Krawcewicz | New Equivariant Methods and Applications to Symmetric Differential Equations |
| 2015 | Zachary Elewitz | Tobias Hagge | Detection of the Reidemeister 2-Move Via Generalized Polyak Invariants |
| 2014 | Changsong Li | Mieczyslaw Dabkowski | Multiplicative Structure on KBSM of I-Bundle Over a Disk with Three Punctures |
| 2014 | Zhichao Li | Wieslaw Krawcewicz | Symmetric Systems of Implicit Functional Differential Equations: Existence of Solutions and Bifurcation Results |
| 2013 | Minh P. Nguyen | Yan Cao | Shape Analysis Using Geometric Features and Diffeomorphic Deformation |
| 2013 | My Linh Nguyen | Zalman Balanov | Symmetric Boundary Value Problems for Vector Nonlinear Pendulum Equation: Equivariant Degree Approach |
| 2012 | Ajaya Paudel | M. Ali Hooshyar | An Inverse Scattering Problem for the Two Dimensional Helmholtz Equation |
| 2011 | Billye Cheek | Mieczyslaw Dabkowski | Kauffman Bracket Skein Module for the Disk Sum of A x S1 and A x I |
| 2011 | Brady McCary | Yan Cao | User-Interactive Level Set Image Segmentation |
| 2010 | Jigarkumar Patel | Janos Turi | Elastic Structures with Defects |
| 2010 | Keerthi P. K. Chandrasekaran | Janos Turi | Optimal Control of Piecewise Smooth Systems |
| 2010 | Saroj Pradhan | Janos Turi | The Role of Peripheral and Central Chemoreceptors in Stability of the Human Respiratory System |
| 2009 | Noureen Khan | Mieczyslaw Dabkowski | New Variants of Links in S3 Preserved by 4-Moves |
| 2008 | Yasmin Ansari | Viswanath Ramakrishna | Matrix Theory Motivated by Quantum Mechanics and Engineering |
| 2007 | Ramanjit Sahi | Mieczyslaw Dabkowski | Tangle Replacement Moves on Links |
| 2006 | Hong Zhou | Viswanath Ramakrishna | Parameterizations of Unitary and Positive Matrices in Quantum Information Control |
| 2006 | Nermine El-Sissi | Viswanath Ramakrishna | Positive Definite Kernels and Lattice Paths |
| 2005 | Fred Costa | Viswanath Ramakrishna | Structured Matrix Calculations via Quaternions |
| 2005 | Lena Lasater | M. Ali Hooshyar | Inverse Problems of Electromagnetic Obstacle Scattering and the Method of Lines |
| 2005 | Taras Odushkin | Janos Turi | Mathematical Models of Atomic Scale Deformations and Spatial Nonuniformities in Solid Bodies |
| 2003 | David Seida | Janos Turi | Estimation of Attitude Parameters from Variation in Image Overlap |
| 2002 | Kathryn Flores | Viswanath Ramakrishna | Classical and Quantum Controls from Decomposition of Unitary Matrices |