Short Biography
Paul K. Wintz recieved 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
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PhD in Applied Mathematics
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Anticipated Summer 2025
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M.S. in Scientific Computing and Applied Mathematics
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September 2020
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B.S. in Engineering Physics with a Minor in Music
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A.A. in Liberal Arts & Sciences: Science & Mathematics Emphasis, w/ Honors
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A.A. in Liberal Arts & Sciences: Arts & Humanities Emphasis, w/ Honors
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Employment
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Graduate Student Researcher
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Spring 2021-Present
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Graduate Student Instructor for AM 10 (Linear Algebra)
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Winter 2024
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- Taught over 230 students.
- Received overwhelmingly positive feedback from students.
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Teaching Assistant
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Summer 2019-Winter 2020
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Junior Software Engineer
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June 2016-September 2018
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- Designed and implemented features on Android and embedded Linux systems.
- Created prototype for the video transformation software used in the Pano scope system.
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Software Quality Assurance Intern
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June 2015-August 2015
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Physics Teaching Assistant
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Fall 2015-Spring 2016
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Teaching Experiences
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Group Tutor.
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Spring 2024
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Undergraduate Course: "Introduction to Cyber-Physical Systems."
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Department of Computer Engineering, University of California, Santa Cruz.
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Instructor.
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Winter 2024
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Undergraduate Course: "Mathematical Methods for Engineers I (Linear Algebra)."
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Department of Applied Mathematics, University of California, Santa Cruz.
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Group Tutor.
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Spring 2022
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Undergraduate Course: "Introduction to Cyber-Physical Systems."
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University of California, Santa Cruz.
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Teaching Assistant.
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Summer 2020
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Undergraduate Course: "Mathematical Methods for Engineers I (Linear Algebra)."
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Department of Applied Mathematics, University of California, Santa Cruz.
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Teaching Assistant.
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Spring 2020
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Undergraduate Course: "Mathematical Methods for Economists II (Integral Calculus)."
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Department of Applied Mathematics, University of California, Santa Cruz.
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Teaching Assistant.
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Spring 2020
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Undergraduate Course: "Mathematical Methods for Economists I (Differential Calculus)."
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Department of Applied Mathematics, University of California, Santa Cruz.
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Teaching Assistant.
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Winter 2020
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Undergraduate Course: "Mathematical Methods for Engineers I (Linear Algebra)."
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Department of Applied Mathematics, University of California, Santa Cruz.
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Teaching Assistant.
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Fall 2019
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Undergraduate Course: "Applied Dynamical Systems."
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Department of Applied Mathematics, University of California, Santa Cruz.
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Teaching Assistant.
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Fall 2019
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Undergraduate Course: "Mathematical Methods for Economists I (Differential Calculus)."
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Department of Applied Mathematics, University of California, Santa Cruz.
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Teaching Assistant.
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Summer 2019
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Undergraduate Course: "Mathematical Methods for Engineers II (Ordinary Differential Equations)."
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Department of Applied Mathematics, University of California, Santa Cruz.
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Teaching Assistant.
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Spring 2016
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Undergraduate Course: "Electricity & Magenetism."
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Department of Physics, Westmont College.
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Teaching Assistant.
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Fall 2015
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Undergraduate Course: "General Physics."
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Department of Physics, Westmont College.
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Group Tutor.
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Fall 2013
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Undergraduate Course: "Music Theory."
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Department of Music, Santa Barbara City College.
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Honors
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Shortlisted for Outstanding Student Paper Prize
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2024
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CSS Technical Committee on Hybrid Systems.
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Department Service Award
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Spring 2024
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Applied Mathematics Department, University of California, Santa Cruz.
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Advancement to Candidacy with Honors
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Spring 2023
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University of California, Santa Cruz.
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Best Student Paper Award Finalist
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June 2022
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American Control Conference.
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Regents Fellowship
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2020-2021
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University of California, Santa Cruz.
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Dean's Fellowship
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2020-2021
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Baskin School of Engineering, University of California, Santa Cruz.
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AMS/SAM Fellowship
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Spring 2020, Spring 2021
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University of California, Santa Cruz.
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Graduate SciCAM Fellowship
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2018-2019
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University of California, Santa Cruz.
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Burnand-Partridge Foundation Fund
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2018-2020
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Scholarship Foundation of Santa Barbara.
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Top Student Award
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May 2016
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Westmont College.
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Outstanding Senior Award
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May 2016
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Department of Physics, Westmont College.
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Transfer President's Scholarship
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2014-2016
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Westmont College.
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Music Scholarship
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2014-2016
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Westmont College.
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B. Paul Moser Memorial Trust Scholarship
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2015-2016
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Scholarship Foundation of Santa Barbara.
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Al Slagle Memorial Scholarship
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2012-2013
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Scholarship Foundation of Santa Barbara.
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Pillsbury Music Scholarship
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2012-2013
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Santa Barbara Foundation.
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Applied Music Program (Scholarship)
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2011-2013
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Santa Barbara City College.
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Publications
Paul K. Wintz and Ricardo G. Sanfelice
American Control Conference (under review),
2025.
Paul K. Wintz and Ricardo G. Sanfelice
8th IFAC Conference on Analysis and Design of Hybrid Systems,
2024.
Paul K. Wintz and Ricardo G. Sanfelice
62nd IEEE Conference on Decision and Control,
2023.
- Shortlisted for the Outstanding Student Paper Prize from the CSS Technical Committee on Hybrid Systems.
Paul K. Wintz, Ricardo G. Sanfelice, and João P. Hespanha
American Control Conference,
2022.
Paul K. Wintz
UCSC Masters Thesis,
2020.
Paul K. Wintz
Unpublished (AM 214 Class Project),
2018.
Conference Presentations
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"Conical Transition Graphs for Analysis of Asymptotic Stability in Hybrid Dynamical Systems"
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July 2024
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IFAC Conference on Analysis and Design of Hybrid Systems.
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"Forward Invariance-Based Hybrid Control Using Uncertified Controllers"
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December 2023
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IEEE Conference on Decision and Control.
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"Global Asymptotic Stability of Nonlinear Systems while Exploiting Properties of Uncertified Feedback Controllers via Opportunistic Switching"
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June 2022
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American Control Conference.
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Poster Presentations
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"Global Asymptotic Stability of Nonlinear Systems while Exploiting Properties of Uncertified Feedback Controllers via Opportunistic Switching"
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October 2022
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Bay Area Robotics Symposium.
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"Helmholtz Motion of Violin String Driven by Stick-Slip Interactions Between Bow and String"
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April 2016
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Student Research Symposium.
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Service Work
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Graduate Student Association representative for Advisory Committee on Campus Transportation and Parking
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2023-2025
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University of California, Santa Cruz.
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Graduate Student Social Coordinator
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2023-2024
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Applied Math Department, University of California, Santa Cruz.
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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
- 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
- Annual week-long trips to build houses in Mexico
- Coordinated registration, fundraising, and transportation
- Helped organize and run biannual high school retreat
- Mentored students
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Club President
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September 2015-May 2016
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- 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