Alice Petrov

I'm a first-year PhD student in the Geometric Data Processing Group at MIT CSAIL, advised by Justin Solomon. My research sits at the intersection of geometric data processing, topological data analysis, and geometric machine learning. I care about algorithms and theory that respect the underlying geometry and topology of data, so we can model, learn, and reason with more structural guarantees.

Previously, I completed an MSc in Mathematics and Foundations of Computer Science at the University of Oxford, where I worked on persistent intersection homology and thought a lot about stratified spaces. Before that, I studied computing, mathematics, and analytics at Queen's University, with research spanning algebraic models for automated planning, robustness of open-source ecosystems, and ML for code.

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News

Jul 2026 Tangent Blow-Ups received a Best Paper Honorable Mention at SGP 2026.
Sep 2025 Started my PhD at MIT, advised by Justin Solomon.

Publications

Tangent Blow-Ups figure Tangent Blow-Ups for Processing Non-Manifold Geometry
Alice Petrov, Mohammad Sina Nabizadeh, Ana Dodik, Justin Solomon
Computer Graphics Forum, vol. 45, no. 5, 2026
Proceedings of the Eurographics Symposium on Geometry Processing (SGP 2026)
Best Paper Honorable Mention (top 1% of submitted papers)
arXiv / pdf / Publisher Page / bibtex

Previous Work

The Essence of de Rham Cohomology
Alice Petrov
arXiv preprint, 2024
arXiv / pdf / bibtex
Persistent Homology for the Analysis of Stratified Spaces
Alice Petrov
MSc Dissertation, University of Oxford, 2024
pdf / bibtex
PARIS: Planning Algorithms for Reconfiguring Independent Sets
Remo Christen, Salomé Eriksson, Michael Katz, Christian Muise, Alice Petrov, Florian Pommerening, Jendrik Seipp, Silvan Sievers, David Speck
Proceedings of the 30th European Conference on Artificial Intelligence (ECAI), 2023
OpenReview / pdf / bibtex
From State Spaces to Semigroups: Leveraging Algebraic Formalism for Automated Planning
Alice Petrov, Christian Muise
Workshop on Heuristics and Search for Domain-Independent Planning (HSDIP), ICAPS, 2023
OpenReview / pdf / bibtex
Automated Planning Techniques for Elementary Proofs in Abstract Algebra
Alice Petrov, Christian Muise
SPARK: Scheduling and Planning Applications Workshop, ICAPS, 2023
arXiv / pdf / bibtex
Analyzing the Robustness of Open Source Software Ecosystems to the Loss of Contributors: A Case Study
Zhendong Sha, Alice Petrov, Yuan Tian, Ting Hu
SSRN Electronic Journal, 2022
SSRN / pdf / bibtex

Contact

Office: Stata Center, 32-D476
Email: alicepet (at) mit (dot) edu

If you're a student or collaborator interested in geometric ML, TDA, or geometry-aware vision/graphics, feel free to reach out!


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