MATHEMATICS → MEASUREMENT → ENGINEERING → MENTORSHIP

Joaquin B. Llanes

Applied Mathematician • Educator • Researcher • Surveying Professional

I use mathematics to understand, measure, model, and build real systems—and to help the next generation do the same.

Applied MathematicsResearch foundation
3+ YearsStudent rocket mentorship
Field + TheoryFrom models to measurements
Portrait of Joaquin B. Llanes
Dαf(t)
∥Ax - b∥
PID(t)
N, E, Z

MENTORSHIP, RESEARCH & IMPACT

Knowledge Passed Forward

The people who shaped my path, and the students whose paths I have had the privilege to help shape.

Portrait of Dr. Alberto A. Condori

M.S. Advisor & Research Collaborator

Dr. Alberto A. Condori

Ph.D. in Mathematics • Michigan State University

Portrait of Dr. Cara D. Brooks

Research Collaborator

Dr. Cara D. Brooks

Ph.D. in Mathematics • Michigan State University

Portrait of Joaquin B. Llanes

Educator • Researcher • Applied Mathematician

Joaquin B. Llanes

M.S. in Applied Mathematics • Florida Gulf Coast University

Portrait of Christopher Alston

Former Student • Graduate • Professional

Christopher Alston

B.S. in Computer Science • Florida State University

M.S. in Computer Science • Georgia Tech — in progress

Data Systems Analyst • U.S. Sugar

Portrait of Zach Alston

Former Student • College Student

Zach Alston

B.S. in Mechanical Engineering • Florida State University

Degree in progress

Portrait of Caleb Iglesias

Former Student • College Student

Caleb Iglesias

B.S. in Aerospace Engineering • University of Central Florida

Degree in progress

CURRENT STUDENT RESEARCH

The next chapter is being written now.

At Clewiston Christian School, two current students have spent more than three years turning mathematics, code, mechanics, electronics, and data into a working engineering laboratory.

Portrait of Elmer Perez

Current Student Researcher

Elmer Perez

Clewiston Christian School

Mathematics, programming, control algorithms, flight simulation, and systems thinking.

Portrait of Isaiah Cardenas

Current Student Researcher

Isaiah Cardenas

Clewiston Christian School

3D modeling, CAD, programming, mechanical design, and fabrication-focused development.

Together, their complementary strengths converge in one long-term engineering platform.

REFERENCE ATTITUDE
TVC RESPONSE

Thrust-vector controlled model rocket research platform

01

CAD + 3D Modeling

Landing legs, structural components, packaging, fit, and iteration.

02

PID Control

Pitch and yaw stabilization, tuning, servo response, and control limits.

03

Flight Simulation

Trajectory modeling, descent prediction, state estimation, and landing logic.

04

Data Collection

IMU, barometric sensing, logging, validation, and post-flight analysis.

05

Electronics

Embedded systems, sensors, servos, power, PCB development, and integration.

06

Powered Landing

A continuing attempt to connect simulation and control with a repeatable descent system.

OUR RESEARCH

Stable mathematics for unstable data.

Our research focuses on inverse and ill-posed problems, Volterra-type operators, fractional calculus, and practical regularization methods.

Featured publication

Stable Evaluation of Caputo Fractional Derivatives from Noisy Data via Local Regularization

Alberto A. Condori • Cara D. Brooks • Joaquin B. Llanes

A study in recovering fractional-derivative information from noisy measurements using local regularization techniques designed for numerical stability.

Fractional CalculusCaputo DerivativeRegularizationInverse Problems
Volterra EquationsHilbert SpacesNumerical AnalysisFractional CalculusInverse Problems

MEASUREMENT IN THE REAL WORLD

Where mathematical precision meets the ground.

Surveying is another expression of the same mindset: establish reference, quantify uncertainty, preserve evidence, and communicate position clearly.

Boundary & Legal Geometry

Deeds, plats, closures, evidence, rights-of-way, and defensible geometric interpretation.

Topographic Measurement

Terrain, elevations, drainage features, utilities, and data built for design decisions.

GNSS + Field Systems

Modern positioning workflows connecting field observations with coordinate-based models.

TEACHING

The goal is not to make students repeat mathematics. It is to make them use it.

AP Calculus ABAP Calculus BCAP Computer Science ARoboticsNumerical MethodsProgramming

LET'S CONNECT

Research, education, engineering, or a problem worth solving.