Ph.D. Alumni
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2024
2024
- Dipak Prasad Dulal, "Optimization and Machine Learning Techniques for Analyzing Spatiotemporal Dynamics," 08/2024 (Navasaca). Assistant Professor in Mathematics, Eastern New Mexico University, Portales, New Mexico
- Thomas Charles Sirna, "Symmetric Laminations of Degree D and Identity Return Triangles in Degree 3, " 08/2024 (Mayer). Credentialed Course Instructor, University of Alabama at Birmingham.
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2023
2023
- Steven A. Redolfi, "Expansion in Eigenfunctions for Systems of Ordinary Differential Equations Without the Unique Continuation Property," 04/2023 (Weikard). Risk Quantitative Model Validation Analyst Regions Bank, Birmingham, AL
- Varun Bhardwaj, "Generalization of the limit-point & limit-circle classification to equations with distributional coefficients," 08/2023 (Weikard).
- Brittany E. Burdette, "The Global and Local Correspondence Between Unicritical and Maximally Critical Laminations and the Realization of Laminations to Julia Sets," 08/2023 (Mayer) Assistant Professor at Lander University.
- Adam P. Carty, "Realization of Hyperbolic Laminations and Properties of Limit Laminations," 08/2023 (Oversteegen).
- Kyoung J. Cox, "Functional Least Squares Minimization," 08/2023 (Knowles). Model Validation Analyst, Regions Bank, Birmingham, AL.
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2021-2022
2022
- Oluwadara A. Ogunkoya, "Entanglement Entropy Bound and Emptiness Formation Probability of the XXZ Spin Chain," 04/2022 (Starr). Research Associate/Carolyn B. Parker Fellow at Superconducting Quantum Materials and Systems Center(SQMS).
- Kevin T. Campbell, “On the spectral theory for ordinary differential equations with distributional coefficients with an emphasis on the periodic case,” 08/2022 (Weikard). Director of Research, Spring Valley School, Birmingham, AL.
- Arein M. Duaibes, "Resonant Solutions for Gross-Pitaevskii Equation with Periodic Potential," 08/2022 (Karpechina). Assistant Professor of Mathematics. College of Saint Benedict & Saint John’s University (CSB+SJU), Minnesota.
- Minh T. Nguyen, "Sturmian theorems, asymptotic behavior for eigenvalues, and spectral theory for ordinary differential equations with distributional coefficients." 08/2022 (Weikard). Lecturer at the Faculty of Mathematics And Applications at Saigon University, Ho Chi Minh city, Vietnam.
2021
- Mohammed Darras, "Quantum Velocities For 1D Discrete Schrödinger Operators With Periodic Potential," 04/2021 (Stolz).
- Sourav Bhattacharya, "Topics in Low Dimensional Dynamical Systems: Interval Rotation Numbers and Laminations," 04/2021 (Blokh). India.
- Fatoumata Sanogo, "Tensor Completion and Total Variation Denoising and Deblurring in Tensor Space," 08/2021 (Navasca). Visiting Assistant Professor in the Department of Statistical and Data Sciences at Smith College, Northampton, MA.
- Jean D. Rugamba, "Keller-Segel Type Chemotaxis Model: Asymptotic Behavior of the Small Data Solution," 08/2021 (Zeng). Visiting Assistant Professor, College of Charleston, South Carolina.
- Sandeep Chowdary Vejandla, "Symmetric Cubic Laminations," 08/2021 (Selinger).
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2016-2020
2020
- Sundar Tamang, "A Model for Currency Exchange Rates," 12/2020 (Knowles). Assistant Professor at Western New Mexico University, Silver City, New Mexico.
2019
- Jessica A. Barnett, "Modeling Stock Prices with Differential Equations," 04/2019 (Knowles). Model Governance Analyst at Regions Bank, Birmingham, AL; Machine Learning Engineer at Regions Bank, Birmingham, AL.; Data Engineer Manager, Regions Bank, Birmingham, AL.
- Abinash Nayak, "Inverse Problems, Regularization and Its Applications," 08/2019 (Knowles). Visiting Assistant Professor, University of Alabama at Birmingham.
- Ramin Goudarzi Karim, "Tensor decomposition and rank approximation with applications to machine learning," 08/2019 (Navasca). Assistant Professor Department of Mathematics, Stillman College, Tuscaloosa, AL.
2018
- Ahmed Ghatasheh, “Comparison and Spectral Theory for Ordinary Differential Equations with Distributional Coefficients,” 08/2018 (Weikard).
2017
- Elizabeth Scribner, "Mathematical Modeling of Brain Tumors Advances Patient Care, Oncogenesis, and the Use of in Silico Clinical Trials," 12/2017 (Fathallah). Model Risk Manager, Regions Bank, Birmingham, AL.
- Ivan Mann, "A Metrically Defined Uniformization Map of Planar Domains," 04/2017 (Oversteegen).
2016
- Caleb Moxley, "Homotopical Complexity of Several Billiard Models," 12/2016 (Simanyi). Visiting Professor, Randolph College; Assistant Professor, Birmingham Southern College.
- Houssam Abdul-Rahman, "Entanglement in Disordered Quantum XY Chains," 08/2016 (Stolz). Postdoctoral Research Associate, Departmen of Mathematics University of Arizona.
- Kwadwo Anti-Fordjour, "Pattern Formation and Semilinear Evolution Equations in Functino Spaces," 08/2016 (Nkashama). Assistant Professor, Earlham College, Richmond, Indiana.
- Seong-Uk Kim, "Perturbation Formulas for Gross-Pitaevskii Equation with Periodic Potential," 08/2016 (Karpeshina). Instructor, University of Alabama; Postdoc at DePauw University
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2011-2015
2015
- Fatin Alawam, "Subsurface parameter estimation in oilfield modeling," 08/2015 (Knowles). Assistant Professor, College of Basic Education, Math department; Public Authority for Applied Education and Training, PAAET in Kuwait.
- Brandon Barry, "On the Simplest Lamination of a Given Identity Return Triangle," 08/2015 (Mayer). Model Governance Analyst at Regions Bank, Birmingham, AL.
- Kyle Besing, "Spectral Properties and Localization of two Random Laplacians of Graphs," 08/2015 (Stolz). Assistant Professor of Mathematics at Kentucky Wesleyan College.
- Alzaki Fadl Allah, "Elliptic Equations and Systems with Nonlinear Boundary Conditions," 04/2015 (Nkashama). Model Risk Analyst at Regions Financial Corporation.
2014
- Terrence Muthoka, "American Options and Semilinea Parabolic Partial Differential Equations in Weighted Sobolev Spaces," 08/2014 (Nkashama). Quantitative Developer at Regions Banks.
- Ajay Mahato, "The Inverse Volatility Problem for American Options," 04/2014 (Knowles). Model Risk Analyst at Regions Financial Corporation.
2013
- Alexey Korepanov, "Small Perturbations in Hard Balls Dynamics," 08/2013 (Chernov, Simanyi). Research Post Doc at the Mathematics Institute of the University of Warwick (United Kingdom).
- Jacob Chapman, "Spectral properties of random block operators," 08/2013 (Stolz). Actuarial Analyst at Blue Cross & Blue Shield of Mississippi.
- Mitch Wyatt, "Uniqueness of the Potential in Schrodinger's Equation with One Boundary Measurement," 08/2013 (Knowles). Model Development Analyst at Regions Financial Corporation.
- Ross Ptacek, "Laminations and the dynamics of iterated cubic polynomials," 08/2013 (Blokh, Oversteegen). Postdoctoral Associate at the University of Florida.
- Matthew Bledsoe, "Resonances and Inverse Scattering," 05/2013 (Weikard). Model Risk Analyst at Regions Financial Corporation. VP, Manager of Special Projects and Incentive Compensation Modeling, Regions Financial Corporation. SVP, Director of Credit Risk Models at IBERIABANK.
2012
- Qizhuo Huang, "Geometric fitting of quadratic curves and surfaces," 08/2012 (Chernov). Leturer in Applied mathematics, University of Virginia, Department of Engineering and Society.
2011
- Ali Al-Sharadqah, "Statistical Analysis of Curve Fitting in Errors-In-Variables Models," 05/2011 (Chernov). Assistant Professor, East Carolina University.
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2006-2010
2010
- Rami Al-Ahmad, "On inverse problems for left-definite discrete Sturm-Liouville equations," 12/2010 (Weikard). Assistant Professor, Yarmouk University, Jordan.
- Annette Larussa, "Conditional Well-Posedness and Error Bounds for the Groundwater Inverse Problem," 12/2010 (Knowles). Mathematics Education Specialist, New Mexico Tech.
- Debra Mimbs, "Laminations: a Topological Approach," 08/2010 (Mayer, Oversteegen). Assistant Professor, Lee University, Cleveland, TN.
- Abraham Freiji, "The BCS gap equation for asymmetric fermionic systems," 08/2010 (Hainzl). Postdoc, UAB Heersink School of Medicine, Department of Neurology.
- Roger Nichols, "Spectral Properties of Structurally Disordered Media," 08/2010 (Stolz). Postdoc, University of Missouri. Assistant Professor of Mathematics, University of Tennessee at Chattanooga.
2009
- Clinton Curry, "Topological Models for Julia Sets," 06/2009 (Blokh, Mayer). Technical Solutions Engineer, Google.
- Mandar Kulkarni, "Multi-coefficient Dirichlet-Neumann type Elliptic Inverse Problems with Application to Reflection Seismology," 01/2009 (Knowles). Seismic Imager, CGGVeritas.
2008
- Nsoki Mavinga, "Nonlinear Second Order Parabolic and Elliptic Equations with Nonlinear Boundary Conditions," 07/2008 (Nkashama). Visiting Assistant Professor, University of Rochester and Swarthmore College.
2007
- Jeff Baker, "Spectral Properties of Displacement Models," 10/2007 (Stolz). Senior Portfolio Analyst, Southern Company.
- Eman Hamza, "Localization Porperties for the Unitary Anderson Model," 10/2007 (Stolz). Postdoc, Michigan State; Postdoc Schrodinger Institut, Vienna; Lecturer, Department of Physics, Cairo University, Egypt.
- Lee Goswick, "Dynamical, geometric, and Arithmetic Properties of Euclidean Lattices," 2007 (Simanyi). Software Engineer, Northrop-Grumman Corp. in Huntsville, Alabama.
- Areeg Abdalla, "Fuzzy Monte Carlo Studies with Random Fuzzy Numbers," 2007 (Buckley). Lecturere, Department of Mathematics, Cairo University, Egypt.
2006
- Doug Childers, "Some topological Results on the Influence of Critical Points in Rational Dynamics," 2006 (Blokh, Mayer). Faculty, Kingwood Christian High School.
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2000-2005
2005
- Gaston Brouwer, "Green's functions from a metric point of view," 2005 (Oversteegen). Assistant Professor, Macon State College, Macon Georgia.
- Jinguo Lian, "Pattern Formation for Some Systems of Nonlinear Differential Equations," 2005 (Nkashama). North China Electric Power University.
- Hongkun Zhang, "Statistical Properties of Chaotic Billiards," 2005 (Chernov). North China Electric Power University; Postdoc, Northwestern University; Assistant Professor, University of Massachusetts.
2004
- Claire Lesort, "Statistical Efficiency and Complexity of Curve Fitting Algorithms," 2004 (Chernov). Model Governance Manager at Regions Bank, Birmingham, AL.
- Young-Ran Lee, "Spectral Properties of a Polyharmonic Operator with Limit-Periodic Potential in Dimension Two," 2004 (Karpeshina). Postdoc at UI Urbana-Champaign; Assistant Professor at Sogang University, Seoul, South Korea.
- Aimin Yan, "An Inverse Gorunwater Model," 2004 (Knowles). Research Associate at UAB's Department of Radiology
2003
- James Malaugh, "Rotational sets of the circle under z^d," 2003 (J. Mayer). Modeler, Inductis, New Providence, NJ.
2001
- Robert Peacock, "A local Borg-Marchenko theorem for complex potentials," 2001 (Weikard). Assistant Professor, Associate Professor, Young Harris College, Georgia.
- Mayumi Sakata, "Generalized eigenfunction expansions," 2001 (Kauffman). Postdoc, University of Missouri; Assistant Professor, William Jewell College.
- Robert Sims, "Localization for one-dimensional models of disordered media," 2001 (Stolz). Postdoc, UC Irvine; Princeton University; UC Davis. Assistant Professor, University of Arizona.
- Brian Smith, "Asymptotically flat quasi-convex Reimannian metrics of nonnegative scalar curvature and the constraint equations in general relativity," 2001 (Weinstein). Postdoc, Cornell University; FU Berlin.
2000
- Tuan Le, "An inverse problem in groundwater modeling," 2000 (Knowles). University of New Orleans.
- Andrew Maner, "Boundaries of conformal rotation domains," 2000 (Mayer, Oversteegen). Boeing.
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1993-1999
1999
- Henry van den Bedem, "Chaotic models in nonequilibrium statistical mechanics," 1999 (Chernov). Scientific Softward Developer, Joint Center for Structural Genomics, Stanford University.
1998
- Sean MacDonald, "Combinatorial properties of mappings," 1989 (Oversteegen). Assistant Professor, University of North Alabama; Assistant Professor, University of Science and Arts of Oklahoma.
1997
- Joyce Yung, "Mathematical applications of diffusion equations in cancer tumor growth," 1997 (Nkashama). Fort Valley State University.
- David McRae, "Riemann theta functions on degenerat surfaces," 1997 (Weikard). Woodberry Forest School, Virginia.
- Mark P. Widener, "Topology of Julia sets of exponential maps," 1997 (Oversteegen). Imaging Business Machines, LLC.
1996
- Sarah Al-Sheikh, "A study of bifurcation for non-autonomous ordinary differential equation," 1996 (Ward). Assistant Professor, Kind Abdulaziz University.
1995
- Steve Underwood, "The Agmon spectral function for magnetic potentials," 1995 (Lewis). Attorney. Morgan, Lewis & Bockius; Cowan, Liebowitz & Latman.
1994
- Chris Pladdy, "Resolvent estimates for Dirac operators," 1994 (Saito). Assistnat Professor, Nicholls State; Zenith Electronics Corp., Research and Development; MITRE Corporation, Leavenworth, KS.
1993
- Robert Wallace, "A variational method for numerical differentiation," 1993 (Knowles). Jefferson State Community College.