Math Students - Applied Mathematics
Math Students
To Incoming Students
Our Master's and Ph.D. programs are designed with adult learners in mind, offering a supportive and personalized experience that caters to students' unique needs. We understand that each student comes with their own set of strengths and areas for growth, and our program is tailored to meet those individual needs. Whether you're returning to education after time away or seeking to build on existing knowledge, we provide the necessary refresher courses to ensure your success. We also offer a Math Boost Camp intensive workshop for incoming students interested in reviewing fundamental Algebra and Trigonometry concepts, as well as consistent tutoring for the Calculus refresher courses in our own Math Acceleration Lab. This extra support ensures that you feel fully prepared and capable throughout your studies, no matter your background or experience level. With small class sizes and dedicated faculty, you'll receive the personal attention you deserve, ensuring a customized learning journey that enhances your strengths. This is your opportunity to grow academically and professionally in an environment that understands your goals and priorities. See our success below, and let us know if you would like us to connect you with any of our recent graduates.
Prof. Ralucca Gera,
Professor and Chair of Applied Mathematics Department.
Current Students
ENS Joseph Morgan
Expected Graduation Date: September 2026
Advisor: TBA
Second Reader: TBA
LTC David Millikan
Expected Graduation Date: December 2026
Advisor: TBA
Second Reader: TBA
LTC Eric Gustafson
Expected Graduation Date: June 2027
Advisor: TBA
Second Reader: TBA
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Secure Communications Curriculum Graduates
2026
2026
CDR Timothy James (PhD)
Thesis: Query-Adaptive and Temporal Graph-Theoretic Approaches for Personalized Literature Discovery and Research
Dissertation Chair: Ralucca Gera, Department of Applied Mathematics
Dissertation Supervisor: Pantelimon Stanica and Ralucca Gera, NPS
PhD Committee:
Francis X. Giraldo, Department of Applied Mathematics
Mark Reith, Air Force Institute of Technology
Paolo Singh, Department of Operations Research
Hong Zhou, Department of Applied Mathematics
Congratulations Graduates!
June 2026 Graduates
CPT Joseph Moreland
Thesis: Long Range Acoustic Devices in Social Force Modeling
Advisor: Prof. Hong Zhou
Second Reader: Shannon Foley
ENS David Jepsen
Thesis: Evaluating Non-Gaussian Noise Effects in Avalanche Photodiode-Based Optical Detection Systems
Advisor: Prof. Rick Romero
Co-Advisor: Prof. CAPT Thor Martinsen
March 2026 Graduates
CDR Paolo Singh (PhD)
Thesis: Bridging Network Science and Learning Science to Facilitate Adaptive Personalized Learning
Dissertation Chair: Ralucca Gera, Department of Applied Mathematics
Dissertation Supervisor: Ralucca Gera, Dept of Applied Mathematics
PhD Committee:
Robert L. Bassett, Department of Operations Research
Patrick McClure, Department of Computer Science
Anthony Austin, Department of Applied Mathematics
Thor Martinsen, Department of Applied Mathematics
June 2025 Graduates
CPT Brad Dinkel
Thesis: Beyond Citation Counts: Network-based Strategies for Detecting Influential Medical Research
Advisor: Prof. Ralucca Gera
Second Readers: Profs. Anthony Austin and Matthew D. Smith
ENS Karl Florida
Thesis: An Analysis of Vortex-Based Criteria for Detecting Rapid Intensification in Hurricanes
Advisor: Distingushed Prof. Frank Giraldo
CPT George Ozga
Thesis: Analyzing and Predicting the Army Combat Fitness Test: A Statistical and Deep Learning Approach
Advisor: Prof. Hong Zhou
CPT Jessica Ozga
Thesis: Analyzing Family Timelines and Factors Affecting Career Longevity of Single Male Army Officers
Advisor: Prof. Hong Zhou
Second Reader: Austin McGahan
March 2025 Graduates
CPT Gordon H
Thesis: A Framework for Personalized Learning Paths in Calculus: A Network Science Approach
Advisor: Prof. Ralucca Gera
Second Reader: Distinguished Prof. Frank Giraldo
December 2024 Graduates
CPT Dajah Treece
Thesis: Active Denial Technology and Effects on Crowd Behavior
Advisor: Prof. Hong Zhou
Co-Advisor: Prof. Susan Aros
LT Richard Gonong
Thesis: Distance-Based Coordination for a Decentralized Unmanned Surface Vehicle Swarm Controller with Varying Swarm Size (Dual Degree)
Advisor: Prof. Isaac Kaminer
Co-Advisors: Dr. Wei Kang and Dr. Sean Kragelund
LT Joel Hunter
Thesis: Cold Spray Optimization via Machine Learning (Dual Degree)
Advisor: Dr. Troy Ansell
Co-Advisor: Dr. Wei Kang
CPT Javier Sustaita
Thesis: Some Comparisons of Neural Network Architectures for Scientific Machine Learning
Advisor: Prof. Anthony Austin
Co-Advisor: Prof. Wei Kang
June 2024 Graduates
LT Scott Adams
Church Award, Outstanding ThesisThesis: Investigating maximum bit extraction of the Blum-Micali pseudorandom number generator
Advisor: Prof. Pante Stanica
Second Reader: Professor CAPT Thor Martinsen
CPT Nathan Fisher
Thesis: Artificial Sensor for Electrical System Using Machine Learning
Advisor: Prof. Wei Kang
Second Readers: Prof. Ralucca Gera, Professor CAPT Thor Martinsen
CPT Rachel Kenagy
Graduated with DistinctionThesis: An Acoustic Approach to Drone Detection using Machine Learning
Co-Advisors: Professor CAPT Thor Martinsen, Prof. Alvez
ENS Jessica Riggs
Outstanding ThesisThesis: Semi-infinite elements for non-reflecting boundary conditions
Advisor: Distinguished Prof Frank Giraldo
Co-Advisor: Dr. James Kelly
Second Reader: Prof. Anthony Austin
December 2023 Graduates
MAJ Michael Wish
Thesis: Operational Planning and Optimization of Small Domain Swarm Defense Strategies
Advisor: Prof. Abram Clark
Co-Advisor: Prof. Wei Kang
Second Reader: Prof. Isaac Kaminer
September 2023 Graduates
Min-hsiu Wu
June 2023 Graduates
CPT Dylan Hyde
Thesis: Active Stealth in Submerged Environments: A Numerical Investigation
Advisor: Prof. Robert Basset
Co-Advisor: Dr. Anthony Austin
Second Reader: Dr. Lucus Wilcox
LT Daniel Gillespie
Thesis: Divide and Conquer Modification of the Blum-Micali Pseudorandom Number Generator
Advisor: Prof. Pante Stanica
Second Reader: Professor CAPT Thor Martinsen
LT John Mack
Thesis: Discrete Event Simulation of U.S. Coast Guard Prevention Workforce
Advisor: Prof. Hong Zhou
Second Reader: Jack Smith
September 2022 Graduates
LT Justin Rhea
Thesis: Data Analysis and Predictive Model Generation for Delays in Navy Construction Projects
Advisor: Prof. Hong Zhou
Second Reader: Prof. Robert Bassett
June 2022 Graduates
CPT James Sherrell
Thesis: Resilience Analysis of Various Communication Network Models
Advisor: Prof. Ralucca Gera
ENS Phillip Smith
Thesis: Neural Network Distributional Initial Condition Robustness in Power Systems
Advisor: Prof. Ralucca Gera
Co-Advisor: Professor CAPT Thor Martinsen
Second Reader: Prof. Anthony Gannon
CDR Timothy James
Thesis: Preconditioning the Conjugate Gradient Method for a Hybridized Summation-by-Parts Finite-Difference Discretization of Poisson’s Equation with Application to Seismic Simulations
Advisor: Prof. Anthony Austin
Second Reader: Prof. Lucas Wilcox
ENS Elana Kozak
Thesis: Robustness of Machine Learning for Power Systems
Advisor: Prof. Wei Kang
Co-Advisor: Professor CAPT Thor Martinsen
Second Reader: Prof. Anthony Gannon
ENS Brandon Gloyd
Thesis: Signal Detection of Unmanned Underwater Vehicles by a Single Acoustic Vector Sensor
Advisor: Prof. Paul Leary
Co-Advisor: Prof. Hong Zhou
Second Reader: Christopher Price
CDR Aaron C. Geary (PhD)
Thesis: C-Differentials and Generalized Cryptographic Properties of Vectorial Boolean and p-ary Functions
Pantelimon Stanica
Department of Applied Mathematics Dissertation Supervisor
Dissertation Chair
George W. Dinolt, Department of Computer Science
Ralucca Gera, Department of Applied Mathematics
Thor Martinsen, Department of Applied Mathematics
Luis Medina, University of Puerto Rico, Rio Piedras
December 2021 Graduates
Maj Flinn Lewis
Thesis: Boundary Search and Traverse: Determining the Threshold Boundary for Infrastructure Network Resilience Problems
Advisors: Prof. David Alderson, Prof. Ralucca Gera
Co-Advisor: Prof. W. Matt Carlyle
September 2021 Graduates
LTC Patrick Mugg (PhD)
Thesis: Extrapolated Multirate Methods for Hyperbolic Partial Differential Equations
PhD Committee:
Francis X. Giraldo
Department of Applied Mathematics
Dissertation Supervisor and Dissertation Chair
Carlos F. Borges, Department of Applied Mathematics
Mara S. Orescanin, Department of Oceanography
Jeremy E. Kozdon, Department of Applied Mathematics
Wei Kang, Department of Applied Mathematics
Hong Zhou, Department of Applied Mathematics
June 2021 Graduates
MAJ Andrew Dietz
Thesis: Personalizing Talent Development Utilizing a Network Framework
Advisor: Prof. Ralucca Gera
Second Reader: Dr. D' Marie Bartolf
ENS Tommy Reeder
Thesis: Analysis of a Similarity-based Approach to Positively Affect Mentor-Mentee Relationships Among Service Members
Advisor: Prof. Ralucca Gera
Second Reader: Dr. D' Marie Bartolf
MAJ David Black
Thesis: Course of Action Analysis for the U.S. Army’s 2035 Modernization
Advisor: Prof. Hong Zhou
Second Reader: MAJ Jenifer McClary
MAJ Brian Laborde
Thesis: Predictive Modeling to Support the Adjudication of Security Clearances
Advisor: Prof. David Canright
Co-Advisor: Prof Lyn Whitaker
Second Reader: MAJ Jenifer McClary
MAJ Devon Zillmer
Thesis: A Statistical Analysis of Some Standard Ciphers’ Cryptographic Primitives
Advisor: Prof. Pante Stanica
Co-Advisor: Prof.Robert Bassett
Second Reader: Professor CAPT Thor Martinsen
CPT Neal Mooers
Thesis: A Mathematical Exploration of One-Dimensional Depth Penetration by Electromagnetic Waves
Advisor: Prof. Hong Zhou
Second Reader: Prof. Anthony Austin
CPT Kert St John
Thesis: Modeling the Army's Modernization Strategy in Response to Fiscal Constraints: A Linear Programming Approach
Advisor: Prof. Hong Zhou
Second Reader: MAJ Jenifer R, McClary
CPT Jacques Kassa
Thesis: Modeling the Relationship Between Loyalty and Insider Threat
Advisor: Prof. Hong Zhou
Second Reader: Dr. Jonathan Roginski
ENS Matthew Critchley
Thesis: A Recommender Model Using Social Tie Strength for the Chunk Learning System
Advisor: Prof. Ralucca Gera
Second Reader: D'Marie Bartolf
September 2020 Graduates
Capt Michael Troncoso
Thesis: A Cryptographic Analysis of Bluetooth's Human-Machine Authenticated Key Exchange Protocols
Advisor: Prof.Britta Hale
Co-Advisor: Prof. Pante Stanica
June 2020 Graduates
ENS Zachary Klein
Thesis: Structural Properties of I-Graphs: Their Independence Numbers and Cayley Graphs
Co-Advisors: Prof. Ralucca Gera, Professor CAPT Thor Martinsen, Prof Pante Stanica
ENS Matthew Dods
Thesis: Independence Number of Specified I-Graphs
Co-Advisors: Prof. Ralucca Gera, Professor CAPT Thor Martinsen, Prof Pante Stanica
CPT Welvinjohn Lucero
Thesis: Optimizing Adaptive Learning Using Statistical and Network Analysis Within the Chunk Learning System
Advisor: Prof. Ralucca Gera
Co-Advisor: Dr. Michelle L. Isenhour (OR)
March 2020 Graduates
LT Alexander Gutzler
Thesis: Chaotic Combiner for Linear Feedback Shift Register Sequences
Advisor: Professor CAPT Thor Martinsen
Second Reader: Prof. Beny Neta
LCDR Ryan Hard
Thesis: Double Pendulum Chaotic Model for Pseudorandom Number Generation
Advisor: Professor CAPT Thor Martinsen
Second Readers: Prof. Beny Neta
CPT William Freiberg
Thesis: Data Analysis for the Detection of High-Voltage Activity Using Non-Contact Sensors
Advisor: Prof. Wei Kang
Co-Advisor: Prof. Carlos Borges
Second Reader: Prof. Anthony Gannon
CPT Josephine Cammack
Thesis: Predicting Army Post-IET Attrition Using Logistic Regression and Time-Varying Covariates
Advisor: Prof. Hong Zhou
Co-Advisor: Prof. Samuel Buttrey
MAJ Andrew Cammack
Thesis: Non-Linear Pseudorandom Bit Generation by Combining Blum Blum Shub and Linear Feedback Shift Register Sequences
Advisor: Prof. Pante Stanica
Second Reader: Professor CAPT Thor Martinsen
LTJG Christian Sorenson
Thesis: Logistics in a Contested Environment: Network Analysis and Flow Optimization
Co-Advisors: Prof. Michael P. Atkinson, Prof. Ralucca Gera
2016 Graduates
CPT Karoline Hood
Thesis: Modeling storm surges using discontinuous Galerkin methods
Advisor: Distinguished Prof. Frank Giraldo
Second Reader: Simone Marras
2012 Graduates
LTC Patrick Mugg
Thesis: Construction and Analysis of Multirate Partitioned Runge-Kutta Methods
Advisor: Distinguished Prof. Frank Giraldo
Second Reader: Prof. Hong Zhou