CV

A downloadable pdf of my CV is available here.

Education

UC Santa Barbara: Ph.D. in Mathematics, 09/22 - Present

• GPA: 4.0
• Advisor: Dr. Katy Craig
• Advanced to candidacy April 2025, expected graduation June 2027

Santa Clara University: B.S. in Mathematics, B.S. in Computer Science, 09/18 - 06/22

• GPA: 3.933, graduated Summa Cum Laude
• Member of University Honors Program and Phi Beta Kappa

Preprint

Craig, Katy, and Claire Murphy. “Random Blob Methods for Diffusion.” arXiv:2608.14914 (2026).

Grants

UCSB Graduate Division Dissertation Fellowship, 01/27 - 03/27 (upcoming)

• One-quarter award available to UCSB doctoral students
• Awarded competitively by the Graduate Division to support dissertation research

ICERM Partial Differential Equations for Many Particle Systems, 08/26

• AMS Backstop Grants Program Travel Award

2026 SIAM Annual Meeting, 07/26

• UCSB Graduate Student Association Conference Travel Grant
• UCSB Academic Senate Doctoral Student Travel Grant
• SIAM Student Travel Award

Invited Talks

Random Blob Methods for Diffusion

• 2026 AMS Western Sectional Meeting, Tempe, Arizona, 11/7/26 (upcoming)
• 2026 SIAM Annual Meeting, Cleveland, Ohio, 7/10/26

Optimal Transport on Graphs

• Gradient Flows Reading Group, Zoom, 3/31/26

Wasserstein Distances and Empirical Measures

• Women in OT Reading Group, Zoom, 7/2/25

Sampling via Nonlinear Diffusion Equations

• Statistical Optimal Transport (SLMath), Berkeley, California, 6/20/25
• Women in Optimal Transport, Vancouver, Canada, 4/18/24

A Particle Approximation of the Jeans-Vlasov Equation

• Particle Interactive Systems (SLMath), Berkeley, California, 6/28/24

Teaching and Mentorship Experience

UC Santa Barbara: Teaching Associate, 09/22 - Present

• TA for various UCSB undergraduate courses, including Calculus with Applications, Linear Algebra, Differential Equations, Vector Calculus, and Numerical Analysis

AAUW Tech Trek, Santa Barbara: Core Class Instructor, 06/26

• Taught a “Math You’ve Never Seen Before” course at AAUW Tech Trek Camp Blackwell, a free week-long STEM summer camp for middle school girls in underserved communities
• Developed a fifteen-hour curriculum from scratch, designed for middle school girls who had not previously been exposed to modern mathematics
• Oversaw a group of twenty-five students for three hours a day, five days a week

UC Santa Barbara: Senior Thesis Co-Supervisor, 09/24 - 06/25

• Supervised UCSB undergraduate Vidushi Mittal’s senior thesis, investigating a Wasserstein-like metric on two-node graphs, leading weekly meetings to assess progress and answer questions
• Edited a 12-page survey paper on a metric over finite weighted graphs that preserves heat flow as the gradient flow of the entropy

Society of Women Engineers++, Santa Clara University: Co-Chair, 10/19 - 06/22

• Led weekly Saturday sessions to teach middle school girls Python and Scratch
• Successfully adapted to remote work after one year of leading and teaching in-person
• Restructured student recruitment, resulting in a 129% increase in sign-ups for the program

Leadership Experience

LLM Seminar, UC Santa Barbara: Co-organizer, 07/26 - Present

• Develop a six-week introductory LLM course for UCSB students and faculty
• Build the seminar schedule and recruit speakers alongside a co-organizer, coordinating topics and availability across a six-week series
• Delivered two lectures on Transformer architecture and mixture of experts

SIAM Student Chapter, UC Santa Barbara: Vice President, 06/25 - Present

• Facilitate the chapter’s weekly seminar series by recruiting and scheduling speakers from across the mathematics department and visiting institutions
• Delivered eight lectures on random matrices, mean field games, optimal control, optimal transport, and other topics in applied mathematics

Technical Skills

• Math: SageMath, LaTeX, Mathematica, Manim (an animation engine that runs on Python)
• Programming: Java, C++, Python, Scala, Plotly, Pandas, Numpy

Additional Honors and Awards

• Recipient of Darin Butz Scholarship, awarded to a single female student in SCU’s math department each year
• Recipient of SCU Presidential Scholarship, awarded to ten undergraduates out of 1,300 students