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.

Welcome to our department!
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

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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

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Congratulations LTC David Millikan on your promotion!

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

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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  

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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

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June 2024 Graduates

LT Scott Adams

Church Award, Outstanding Thesis
 

Thesis: 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 Distinction
 

Thesis: An Acoustic Approach to Drone Detection using Machine Learning

Co-Advisors: Professor CAPT Thor Martinsen, Prof. Alvez

ENS Jessica Riggs

Outstanding Thesis
 

Thesis: 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
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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

PhD Commitee:

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