Paul K. Wintz received a B.S. degree in Engineering/Physics with a minor in Music from Westmont College, Santa Barbara, CA in 2016, an M.S. degree in Scientific Computing and Applied Mathematics from the University of California, Santa Cruz in 2020, and is expected to complete a PhD in Applied Mathematics from the University of California, Santa Cruz in 2025. Mr. Wintz was a finalist for the Best Student Paper award at the 2022 American Control Conference.
Research Interests
Hybrid dynamical systems ⦁ Model predictive control ⦁ Switched feedback for exploiting uncertified controllers ⦁ Computationally-constrained cyber-physical systems ⦁ Graph-based asymptotic and reachability analysis of hybrid systems ⦁ Formal methods for verification of dynamical systems and control systems
Education
University of California, Santa Cruz — 3.93 GPA
September 2018-Present
PhD in Applied Mathematics
Anticipated Summer 2025
M.S. in Scientific Computing and Applied Mathematics
September 2020
Westmont College — 4.0 GPA
September 2014-May 2016
B.S. in Engineering Physics with a Minor in Music
Santa Barbara City College — 4.0 GPA
September 2011-August 2014
A.A. in Liberal Arts & Sciences: Science & Mathematics Emphasis, w/ Honors
A.A. in Liberal Arts & Sciences: Arts & Humanities Emphasis, w/ Honors
Employment
University of California, Santa Cruz
Graduate Student Researcher
Spring 2021-Present, except Winter 2024
Conducted and published research in the mathematical control of hybrid dynamical systems.
Finalist for Best Student Paper at the American Control Conference.
Group Tutor for Introduction to Cyber-Physical Systems
Spring 2022, Spring 2024
Graduate Student Instructor for AM 10 (Linear Algebra)
Winter 2024
Designed syllabus, wrote lesson plans and exams, and lectured for a class containing over 230 students.
Coordinated and supervised a large team of readers, graders, and teaching assistants.
Solicited frequent feedback from students and adapted to their comments to improve student outcomes.
Teaching Assistant
Summer 2019-Summer 2020
Prepared discussion sections, encouraged student learning, and provided detailed feedback to student submissions.
Arthrex California Technology
Junior Software Engineer
June 2016-September 2018
Designed and implemented features on Android and embedded Linux systems.
Created prototype for the video transformation software used in the Pano scope system.
Software Quality Assurance Intern
June 2015-August 2015
Westmont College
Physics Teaching Assistant
Fall 2015-Spring 2016
Teaching Experiences
Group Tutor.
Spring 2024
Undergraduate Course: "Introduction to Cyber-Physical Systems."
Department of Computer Engineering, University of California, Santa Cruz.
Instructor.
Winter 2024
Undergraduate Course: "Mathematical Methods for Engineers I (Linear Algebra)."
Department of Applied Mathematics, University of California, Santa Cruz.
Group Tutor.
Spring 2022
Undergraduate Course: "Introduction to Cyber-Physical Systems."
University of California, Santa Cruz.
Teaching Assistant.
Summer 2020
Undergraduate Course: "Mathematical Methods for Engineers I (Linear Algebra)."
Department of Applied Mathematics, University of California, Santa Cruz.
Teaching Assistant.
Spring 2020
Undergraduate Course: "Mathematical Methods for Economists II (Integral Calculus)."
Department of Applied Mathematics, University of California, Santa Cruz.
Teaching Assistant.
Spring 2020
Undergraduate Course: "Mathematical Methods for Economists I (Differential Calculus)."
Department of Applied Mathematics, University of California, Santa Cruz.
Teaching Assistant.
Winter 2020
Undergraduate Course: "Mathematical Methods for Engineers I (Linear Algebra)."
Department of Applied Mathematics, University of California, Santa Cruz.
"Conical Transition Graphs for Analysis of Asymptotic Stability in Hybrid Dynamical Systems"
July 2024
IFAC Conference on Analysis and Design of Hybrid Systems.
"Forward Invariance-Based Hybrid Control Using Uncertified Controllers"
April 26, 2024
6th NorCal Control Workshop.
"Forward Invariance-Based Hybrid Control Using Uncertified Controllers"
December 2023
IEEE Conference on Decision and Control.
"Global Asymptotic Stability of Nonlinear Systems while Exploiting Properties of Uncertified Feedback Controllers via Opportunistic Switching"
June 2022
American Control Conference.
Poster Presentations
"Global Asymptotic Stability of Nonlinear Systems while Exploiting Properties of Uncertified Feedback Controllers via Opportunistic Switching"
October 2022
Bay Area Robotics Symposium.
"Helmholtz Motion of Violin String Driven by Stick-Slip Interactions Between Bow and String"
April 2016
Westmont College Student Research Symposium.
Service Work
Graduate Student Association representative for Advisory Committee on Campus Transportation and Parking
2023-2025
University of California, Santa Cruz.
Graduate Student Social Coordinator
2023-2024
Applied Math Department, University of California, Santa Cruz.
Skills
Hybrid Dynamical Systems ⦁ Nonlinear Control ⦁ Set-valued and Non-Smooth Analysis ⦁ Model Predictive Control ⦁ Linear Feedback Control ⦁ Mathematical Proofs ⦁ Python ⦁ MATLAB ⦁ C++ ⦁ HTML/CSS Web Design ⦁ Software Design Principles ⦁ Docker ⦁ Git ⦁ LaTeX
Other Activities
Classical Piano
2013-Present
Fencing
2004-2014, 2018-Present
21st place in age division at 2012 Summer National Championships
1st place at 2018 San Luis Obispo Open (earned A18 USFA rating)
3rd place at TFC February 2023 Fence-A-Thon (earned B23 USFA rating)
2nd place at TFC's January 2022 Fence-A-Thon
1st place at UCSC NCIFL Tournament 2019
ComedySportz Improv
Summer 2022-Present
Project Mexico and St. Innocent's Orphanage
2017, 2018, 2019
Team Leader
2018
Annual week-long trips to build houses in Mexico
Coordinated registration, fundraising, and transportation
LOG Retreat Leadership Board
September 2017-September 2018
Collaboratively organized and ran biannual youth retreat
Mentored students
Not For Sale Club (Anti-Human Trafficking)
September 2024-June 2016
Club President
September 2015-May 2016
Hosted a fair-trade marketplace to promote the purchase of ethically sourced goods
Organized documentary screenings, speakers, and discussions to raise awareness of modern-day slavery