Welcome - Applied Mathematics

At the Naval Postgraduate School, Applied Mathematics plays a unique and essential role in delivering operational advantage to the Navy and Joint Force. While only a small number of students pursue degrees in mathematics, nearly every STEM‑educated officer at NPS depends on mathematics instruction provided by this department. As a service department, Applied Mathematics equips officers across engineering, operations research, computer science, oceanography, meteorology, physics, and systems engineering with the quantitative reasoning needed to move faster, think rigorously, and deliver capability at the speed of relevance. In doing so, the department directly supports the DOW and Navy’s emphasis on execution, readiness, and technologically fluent leadership.

Mathematics for Mission‑Driven STEM Leaders:  Applied Mathematics courses are purpose‑built to support students pursuing STEM degrees, and strengthen the Navy’s and War Department’s ability to develop officers. These service courses provide the mathematical foundations required for advanced work in engineering design, operational modeling, probabilistic reasoning, optimization, and data‑driven decision‑making. Our instructional mission is to ensure that Naval officers across STEM disciplines are prepared to apply rigorous analytical methods to real operational and technical challenges.

Contact Us:
Department of Applied Mathematics
833 Dyer Road Room, SP-250 Monterey, CA 93943-5164
Phone: 831-656-2651
Asset Publisher

Upcoming Events

May 11, 2026 to May 15, 2026
May 22, 2026 to May 25, 2026
Jun 1, 2026
Jun 11, 2026

The Department of Applied Mathematics offers flexibility to the students on choosing their degrees, certificates, and courses, tayloring the course matrices to each student to meet indivudidual professional needs.
Degree Programs
Certificate Programs
Courses
Course Validation Policy

Student Success at NPS

Student Success

Our Math Department has identified effective strategies to support student success in our Master's and PhD programs and is committed to continually exploring new ways to enhance this success.

Math Boost Camp
Math Acceleration Lab 
Recent Graduates

Our department's research is a dynamic blend of three broad interwoven areas, showcasing the diverse expertise of our faculty. Explore our innovative research!


Publications
Research Groups
Seminars

Discover the brilliance of our world-class faculty in the Department of Applied Mathematics and dive into their inspiring achievements! 



Faculty and Staff
Faculty Awards
Past Department Chairs

A MESSAGE FROM THE CHAIR, PROF. RALUCCA GERA 

Naval Postgraduate School Mathematics Department Chairman Dr. Frank Giraldo

The Applied Mathematics Department equips officers to think rigorously and reason logically—from equations to operations—supporting strategic decision-making and operational success. As a service department, we are the foundation behind every STEM master’s and PhD education at NPS. Our faculty are deeply committed to educating a wide range of students not only through interdisciplinary teaching, but also through engagement in reimbursable and interdisciplinary research. We build on the diverse academic backgrounds of our students to cultivate deep STEM knowledge, embracing innovative teaching methods that ensures our instruction is relevant to the students.

Introducing our latest initiative to enhance student learning experiences in math courses!

Building on the success of the Math Acceleration Lab at NPS in strengthening calculus foundations through personalized mentorship, we are excited to add additional expert faculty members who will be actively participating in the lab during their office hours. This group of amazing instructors and students provide support and guidance in addition to the classroom engagements to empower students in mastering calculus concepts.
Responsive Image

To Incoming Students

Our graduate programs are built for adult learners—whether you're returning to school or advancing your career. We offer and a Math Boost Camp and refresher courses to help you feel confident from day one. With dedicated faculty and consistent tutoring through our Math Acceleration Lab, you’ll receive the attention and resources you need to thrive to meet your educational goals supported by a department committed to your success
Responsive Image

Departmental News

Applied Mathematics at NPS Discovery Day
Applied Mathematics at NPS Discovery Day
May 08 2026

The Applied Mathematics Department proudly supported NPS Discovery Day by sharing the joy of mathematics with local students.

Read more.
Prof. Lucas Wilcox holds Mandelbrot
Prof. Lucas Wilcox holds Mandelbrot GPU Kernel Challenge. The Winners attend Nvidia Conference
Feb 25 2026

Students compete to write the fastest GPU kernel to compute a Mandelbrot fractal image—an optimization-focused exercise that also produces striking visuals.

Read more.
Dr. Anthony Austin is the Newest Tenured and Associate Professor
Dr. Anthony Austin is the Newest Tenured and Associate Professor in the Applied Math Dept!
Dec 11 2025

We are thrilled to announce that Dr. Anthony Austin has been promoted to Tenured Associate Professor in the Applied Mathematics Department.

Read more.
Art Krener Recipient of IFAC Quazza Medal 2026
David Canright Receives CHES 2025 Test of Time Award for 2005 paper
Sep 16 2025

Congratulations to David Canright!  The annual CHES (Cryptographic Hardware and Embedded Systems) conference honored Emeritus Associate Professor David Canright with their Test of Time Award for the paper from ~two decades before that "has had a lasting impact on the field."

Read more.
Art Krener Recipient of IFAC Quazza Medal 2026 - New
Art Krener Recipient of IFAC Quazza Medal 2026
Aug 04 2025

Congratulations to Art Krener for being awarded the International Federation of Automatic Control (IFAC) Quazza Medal 2026 for his contributions to the analysis, estimation, control, and optimization of nonlinear systems!

Read more.
Annual Menneken Award Recognizes NPS Researchers for Navy, DOD Impact
Annual Menneken Award Recognizes NPS Researchers for Navy, DOD Impact
Apr 09 2025

NPS Distinguished Professor Frank Giraldo, left, and Associate Professor Douglas Van Bossuyt, right, are the 2024 recipients of the annual Menneken Research awards, recognizing NPS faculty for highly-meritorious research with identifiable impact on Navy and DOD technology.

Read more.
Prof. Wei Kang is part of the 2025 Class of SIAM Fellows
Prof. Wei Kang is part of the 2025 Class of SIAM Fellows
Mar 27 2025

SIAM is pleased to announce the 2025 Class of SIAM Fellows.

Read more.
Change of Command Ceremony -- CAPT Thor Martinsen
Change of Command Ceremony CAPT Thor Martinsen
Oct 16 2024

Congratulations to Associate Professor and Navy Captain Thor Martinen for completing a highly successful assignment as the Dean of Students and Commanding Officer of NPS students.  Throughout his tenure, Thor has been an unwavering pillar of support for the NPS student body.  His exceptional leadership, mentorship, and keen focus on student outcomes has had a profoundly positive impact on their academic studies and professional careers. We extend our heartfelt gratitude for his service, welcome him back to our faculty ranks, and wish him continued success in his new leadership role as Associate Provost (Academic Affairs).

Read more.
Schiefflin Award -- Prof. Ralucca Gera
Prof. Ralucca Gera receives NPS Schiefflin Award
Sep 18 2024

Congratulations to Professor Ralucca Gera on receiving the prestigious Schieffelin Award for Excellence in Teaching at NPS as the school's most outstanding faculty instructor!  The annual winner joins a long list of other faculty members selected each summer as the "best-of-the-best" at the Navy's University. This is a remarkable achievement and a testament to Prof Gera's dedication and excellence, and the impact her teaching has on current and recent alumni students. Prof. Gera's hard work and contributions have truly made a significant impact, and this award is well-deserved!

Read more.

Faculty Publications

Asset Publisher
An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases: Analysis, Algorithms, and Applications

This book introduces the reader to solving partial differential equations numerically using element-based Galerkin methods. Various forms of Galerkin methods are described in detail, such as spectral element, discontinuous Galerkin, and hybridized discontinuous Galerkin methods. This book describes the methods used in the formulation of the NUMA (Nonhydrostatic Unified Model of the Atmosphere) model which was constructed in the Center for Computational Mathematics in the Department of Applied Mathematics of NPS.

Security and Privacy

The book is focused on the state-of-the-art developments of network security, secure cryptographic protocols, post-quantum cryptography, quantum cryptography, blockchains and cryptocurrency, IoT security and privacy, cloud security, machine learning in cybersecurity, and other disciplines related to security and privacy. In this book, a wide variety of basic security primitives are discussed along with recent developments in some advanced topics like functional encryption, two-party/multi-party computation, bitcoin, cryptocurrency, and post-quantum security.

Graph Theory Favorite Conjectures and Open Problems, Volume 2

Prof. Ralucca Gera's 2nd volume of Graph Theory: Favorite Conjectures ad Open Problems. This volume describes the origin and history behind conjectures and problems in graph theory, provides various methods to solving research problems in the field and provides strong pedagogical content for graduate students and a reference to researchers in the field.

Who We Support

Serving the Full Spectrum of Navy STEM Education

Applied Mathematics serves as a common foundation for STEM education across NPS. Our faculty teach and mentor students enrolled in a wide range of curricula, providing the analytical tools that underpin advanced study in engineering, modeling and simulation, data science, autonomy, and operational analysis.

By supporting students across multiple departments and degree programs, Applied Mathematics strengthens the Navy’s ability to develop officers who can integrate theory, computation, and real‑world constraints—skills that are increasingly critical in an era defined by speed, complexity, and contested domains.

  • Engineering disciplines (Electrical, Mechanical, Aerospace, Systems)
  • Operations Research and Analytics
  • Computer Science
  • Information Sciences
  • Meteorology and Oceanography
  • Physics

Through this service mission, Applied Mathematics directly supports a large share of the NPS student body each year, ensuring mission‑relevant STEM proficiency across the Naval enterprise and US Department of the War.

Graduates' Perspective

"Studying in the Applied Math Department while completing the Undersea Warfare Curriculum at NPS was a phenomenal experience. I was able to conduct operationally relevant research with amazing faculty across NPS immediately after commissioning. The unique environment at NPS allowed me to connect with senior officer mentors in an academic setting, while leveraging their experience to enhance my graduate education. Starting my career with studies at NPS  bolstered my technical acumen and set me up to succeed as a submarine officer, and my current follow-on tour as a Mathematics Instructor at the United States Naval Academy.  My time at NPS has benefited me at every point in my career, and I cannot recommend the Applied Mathematics curriculum too highly." 

- LT Christian Sorenson, Math Instructor, Math Dept, USNA
M.S. in Applied Mathematics @NPS in 2020
Posted on 4/30/2026

"Studying in the Applied Math Department at NPS was one of the highlights of my career. The combination of interesting research projects with dedicated and supportive faculty was incredible. There are tremendous opportunities waiting for the next group of officers headed to Monterey, and if I was to start my career all over again I would aim to be one of them." 

- CDR Aaron Geary, Military Associate Chair, Math Dept, USNA
M.S. in Applied Mathematics 2009, Ph.D. in Applied Mathematics @NPS in 2022. 
Posted on 3/4/2026
 

"The Certificate in Network Science at NPS Applied Math was the ideal complement to my doctoral studies in Operations Research.  I learned the important theoretical background necessary for my novel research into the optimal defense and attack of network flows. I use what I learned at NPS Applied Math in my undergraduate teaching at US Naval Academy every day." 

- CAPT Gary Lazzaro, USN, Military Deputy Dean, School of Math & Science, US Naval Academy  
M.S. in Management 2013, Ph.D. in Operations Research @NPS in 2016
Posted on 3/3/2026
 

"No institution has contributed more to the advanced education of our faculty in the Department of Mathematical Sciences at the United States Military Academy than the Naval Postgraduate School. Over the past 20 years, this partnership has produced a deep bench of faculty talent, with 16 current faculty members and over 40 faculty overall earning their MS in Applied Mathematics from NPS. NPS equips our military faculty with the technical rigor and analytical depth required to excel at teaching in the classroom and advising cadets in technical research. As a result, cadets learn from instructors who are both accomplished scholars and experienced Army leaders, directly advancing the Academic Program’s goal of developing graduates who integrate knowledge across disciplines to address complex challenges." 

- COL Michael Scioletti, USA, Head of the Department of Mathematical Sciences, US Military Academy West Point 
M.S. in Operations Research @NPS, Ph.D. in Operations Research at Colorado School of Mines
Posted on 3/4/2026
 

"When I arrived at the Naval Postgraduate School, I came in with what I would describe as a relatively weak math background and, like many military students, I had been out of an academic environment for several years. So I was naturally concerned about whether I would be able to succeed in a rigorous graduate-level mathematics program.  What I experienced instead was incredibly supportive and rewarding. The professors at NPS were not only patient and approachable, but genuinely invested in helping students learn; not just complete assignments or pass exams, but truly understand the material and be able to apply it in meaningful ways. They met students where they were and helped us grow in both confidence and capability.  My time at NPS fundamentally changed how I view mathematics and my own ability to engage with it at an advanced level. Looking back, if I had to make the choice again among all the schools available to me, I would choose NPS without hesitation." 

- CPT Carl Springfels, USA, Instructor in the Department of Mathematical Sciences, US Military Academy West Point 
M.S. in Applied Mathematics @NPS
Posted on 3/4/2026
 

Visit us on Social Media

Web Content Display (Global)
 

NPS YouTube Channel Thumb
Welcome to the official YouTube channel for the Naval Postgraduate School in Monterey, California. For more information about the university, its unique mission and academic programs, visit NPS on the web at http://www.nps.edu.
 

 

Naval Postgraduate School 

Higher Education
1001-5000 employees

The Naval Postgraduate School (NPS) provided post-baccalaureate education to military officers and other members of the United States defense and national security community. The mission of NPS is to provide high-quality, relevant and unique advanced education and research programs that increase the combat effectiveness of the Naval Services, other Armed Forces of the U.S. and our partners, to enhance our national security. 

View more on https://www.linkedin.com/school/nps-monterey/

nps_monterey

Official Instagram page of NPS, a graduate research university offering advanced degrees to the U.S. Armed Forces, DOD civilians and int'l partners. 
https://www.instagram.com/nps_monterey/