Contact information:
andrea [dot] stine [at] email [dot] ucr [dot] edu
About:
I am a sixth year Ph.D. student in mathematics at UC Riverside. I am interested in category theory, probability, analysis, and applications of these subjects toward other areas of mathematics and outside of mathematics.
Education:
Ph.D. in Mathematics, University of California, Riverside (2020–present)
M.S. in Applied Mathematics, University of California, Riverside (2020–2022)
B.A. in Mathematics, Occidental College (2018–2020); Missouri State University (2017–2018)
Research:
I'm currently working with David Weisbart (website) on developing a compositional framework for classical mechanical physics, in the vein of their prior work with John Baez.
I have two papers in submission or accepted:
Stine, A., Weisbart, D.: A Compositional Framework for Open Kinematic Systems Involving Constraints and Feedback.
ArXiV Link:
Pierce, T., Rajkumar, R., Stine, A., Weisbart, D., Yassine, A.M.: Brownian Motion in a Vector Space over a Local Field is a Scaling Limit. Expositiones Mathematicae, 2024.
ArXiv Link: https://doi.org/10.48550/arXiv.2405.02502
And three in preparation:
Pierce, T., Rajkumar, R., Stine, A., Weisbart, D.: A Structural Perspective on the Discrete Time Approximation of Brownian Motion in a Local Field.
ArXiv Link:
Stine, A., Weisbart, D.: A Compositional Framework for Classical Mechanical Systems Involving Constraints and Feedback.
ArXiV Link:
Stine, A.: Categorical Properties and Applications of Abstract Open Systems.
ArXiV Link:
Financial Experience:
In fall 2024, I won a trading competition with Benzinga based on the volatility trading strategies I had learned at PEAK6.
In summer 2024, I completed a trading internship at PEAK6 Capital Management where I developed volatility arbitrage signals and pitched trades based on them, a few of which traders executed.
In summer 2023, I completed a trading internship at Belvedere Trading where I developed a statistical tool in Python studying market microstructure, and created an algorithm that the quants used to improve American options pricing.
In summer 2022, I attended a program at Jane Street where I discovered some of the exciting mathematical problems that are studied at financial institutions.
Teaching Experience:
University of California, Riverside
Primary Instructor, Department of Mathematics
• Math 197: Undergraduate research advising • Spring 2025
advised 5 undergraduates’ exploration of configuration spaces of linkages built using the compositional framework from PhD thesis
• Math 194: Independent Reading • Spring 2022, Spring 2023
• Math 005A: Principles of Calculus (precalculus) • Fall 2022, Winter 2026
Teaching Assistant, Department of Mathematics
• Math 005A: Principles of Calculus (precalculus) • Spring 2021, Spring 2024, Fall 2024, Fall 2025
• Math 007B: Calculus for the Sciences • Summer 2025
• Math 120: Optimization • Spring 2025
• Math 121: Game Theory • Winter 2023, Winter 2024, Winter 2025
• Math 144: Set Theory • Winter 2023, Spring 2023
• Math 133: Geometry • Spring 2022, Spring 2023
• Math 151A: Real Analysis • Summer 2022
• Math 135A: Numerical Analysis • Fall 2021
• Math 006B: Introduction to College Mathematics for the Sciences (precalculus) • Spring 2021, Fall 2023
• Math 009: Calculus • Fall 2020, Winter 2021, 2022, 2025, Summer 2021, 2025, Spring 2022, 2024
• Math 149A: Probability and Statistics • Fall 2020, Fall 2021, Winter 2022
Taejae University
Lecturer, Principal Course Designer, College of Natural Science
• NS201: Principles of Mathematical Reasoning for the Social and Natural Sciences • Spring 2025, Spring 2026
Occidental College
Undergraduate Grader, Department of Mathematics
• COMP 146: Statistics (lower division) • Spring 2020
• MATH 212: Multivariable Calculus • Spring 2020
• MATH 340: Ordinary Differential Equations • Fall 2019
• MATH 214: Linear Algebra • Spring 2019
Private Tutor
Self-Employed, Independent and using Wyzant platform, 2022-2025
Advised machine learning professional on category theoretic details reading and writing top AI journal publications
Aided cryptocurrency professional’s investigation of number theoretic connections to cryptography
Tutored students from middle school students to Ph.D. students for over 600 hours in math, programming, and statistics
Talks:
Compositionality of The Inclusion-Exclusion Principle • Mathematics Graduate Student Seminar • University of California, Riverside • 10/10/2025
Composable Graphs of Open Systems in Classical Mechanics
• Mathematics Graduate Student Seminar • University of California, Riverside • 04/11/2025
• Mathematical Physics: Experiment, Structure, and Framework Seminar • University of California, Riverside •
04/08/2025
• Graduate Student Combinatorics Conference • University of Southern California • 03/17/2025
• Inland Empire Mathematics Summit • California State University, San Bernardino • 03/08/2025
A Compositional Framework for Open Systems in Classical Mechanics with Constraints and Feedback
• Graduate Student Symposium • University of California, Riverside • 04/08/2025
• AMS Western Sectional Meeting • University of California, Riverside • 10/27/2024
• Mathematical Physics: Experiment, Structure, and Framework Seminar • University of California, Riverside •
05/24/2024
• Mathematics Graduate Student Seminar • University of California, Riverside • 05/10/2024
Incorporating Structure Through Side Information In Reinforcement Learning • The Adjoint School • 02/07/2025
A Rigidity Condition for Composition in an Augmented Span 2-Category
• Joint Mathematics Meetings • San Francisco, CA •01/05/2024
• Spectra LGBTQ+ Mathematics Conference • Princeton University [presented digitally] • 09/22/2023
• Mathematical Physics: Experiment, Structure, and Framework Seminar • University of California, Riverside •
10/14/2022
• Graduate Student Seminar • University of California, Riverside • 10/07/2022
Constructing Span 2-Categories From Categories Without Pullbacks, And Examples "In The Wild" • Graduate Student Seminar • University of California, Riverside • 12/08/2023
Mathematical Careers in Finance • Graduate Student Seminar • University of California, Riverside • 10/06/2023
Horizontal Composition in a Generalized Span 2-Category • Mathematical Physics: Experiment, Structure, and Framework Seminar • University of California, Riverside • 05/12/2023
F-Pullbacks in Bicategories • Mathematical Physics: Experiment, Structure, and Framework Seminar • University of California, Riverside [presented digitally] • 01/25/2022
Product Categories Without Ordered Pairs • Mathematical Physics: Experiment, Structure, and Framework Seminar • University of California, Riverside [presented digitally] • 01/04/2022
Span Bicategories • Mathematical Physics: Experiment, Structure, and Framework Seminar • University of California, Riverside [presented digitally] • 12/07/2021
Delta Sets of Geometric Nonminimally Generated Numerical Monoids
• Graduate Student Seminar • University of California, Riverside [presented digitally] • 02/12/2021
• Young Mathematicians Conference • Ohio State University [presented digitally] • 08/15/2020
• Southern California Conference for Undergraduate Research • California State University, San Marcos • 11/23/2019
• Undergraduate Mathematics Symposium • University of Illinois at Chicago • 11/2/2019
• Pacific Math Alliance • California State University, East Bay • 10/12/2019
• Undergraduate Research Center • Occidental College • 07/31/2019
Grants, Fellowships, Honors, and Awards:
University of California, Riverside • Graduate Research Symposium • Honorable Mention • 2025
Benzinga • World Championship of Trading Contest 2 • Third Place Prize • 2024
Benzinga • World Championship of Trading Contest 1 • First Place Prize • 2024
University of California, Riverside • CNAS Scholarship Inclusive Excellence Travel Fund Award • 2024
University of California, Riverside • Junior Jones Fellowship • 2023
Jane Street • INSIGHT Program • 2022
California Learning Lab • A New Mathematics Gateway Grant • $1.275mil funded • 2021 • PI: Yat-Sun Poon, Co-PI and Project Director: David Weisbart
Participated in early implementation of course curriculum, developed the course curriculum, supplementary scripts, videos,
quizzes, edited and reviewed materials for the course.
University of California, Riverside • Chancellor's Distinguished Fellowship • 2020-2025
Occidental College • Benedict Freedman Prize for Mathematical Promise • 2020
Occidental College • Dean’s List • 2018-2020
Occidental College • Honor’s Scholarship • 2018
Missouri State University • Dean’s List • 2017-2018
Missouri State University • Board of Governor’s Scholarship • 2017
Academic Service and Membership:
Mathematical Probability and Physics Seminar • University of California, Riverside • Co-Organizer • 2026-present
The Adjoint School 2025 • Research Student • 2025
Spectra Chapter at University of California, Riverside • Founding Member and Graduate Mentor • 2023–present
Spectra Math • Member • 2019–present
AMS Western Sectional Meeting • Organizer of Special Session on Structural Features in Mathematical Physics • 2024
AWM Chapter at University of California, Riverside • Graduate Mentor • 2021-2023
Math Alliance Chapter at University of California, Riverside • Graduate Mentor • 2020–2022
Occidental College Career Panel • Panelist • 2021
Graduate Student Association • University of California, Riverside • Chief of Staff • 2020-2021
Mathematics Society • Occidental College • Treasurer • 2019–2020
Japanese Popular Culture Research Society • Occidental College • Treasurer • 2018–2020
QTPOC • Occidental College • Advisory Member • 2018-2019
Student Government Association at Missouri State University • Committee Member • 2017–2018
Argentine Tango Club at Missouri State University • Founder, President, and Instructor • 2016–2018
Spectrum at Missouri State University • Treasurer, Interim Secretary • 2017–2018
LGBTQ+:
I am an openly queer woman. Queer and trans visibility in education, particularly in mathematics and other STEM fields, is valuable as an outlet for students who may feel isolated or have experienced discrimination for their sexual and gender identity in their educational pursuits. Simultaneously, I am available as a resource for faculty, staff, students, or anybody else to educate themselves on LGBTQ+ issues. Please feel free to reach out to me by email or in-person if you have any questions or need resources relating to these identities.
A few links:
Queer Resources Directory - A massive directory of LGBTQ+ resources in nearly every facet of life,
Spectra - The association for LGBT mathematicians,
NOGLSTP - National Organization of Gay and Lesbian Scientists and Technical Professionals, which has also established a scholarship.
Fun Things:
I play a variety of tabletop roleplaying games (TTRPGs for short, the most famous example being Dungeons and Dragons). I dance a variety of dances in social contexts, especially Argentine tango. Lastly, I enjoy writing fiction of all lengths (flash, short, and longer-form stories). If you would like to see a writing sample, feel free to email me.
Here are links to a few TTRPGs I like:
And a podcast I sometimes listen to where the hosts play TTRPGs:
