I’m Kathryn, a fifth-year Ph.D. candidate studying shape from shading and topological data analysis with Prof. Todd Zickler. I have been working toward a doctoral degree in Applied Mathematics (AM) at Harvard SEAS as a Draper Laboratory Fellow since September 2014. I received an MS in AM from Harvard in November 2016, and a BS in AM from UCLA in June 2014.


The homotopy extension property.


Recent travel  (AKA where we may have met!) :

  • Ideals, Varieties, and Algorithms, Amherst College, June 2019. Presented a poster.
  • Visited the Leipzig Max Planck Institute for Mathematics in the Sciences, Germany, April-May 2019.
  • Theory and Practice in Machine Learning and Computer Vision Workshop at ICERM, Feb 2019.
  • Algebraic Vision Research Cluster at ICERM, Feb 2019. Gave a talk on current work on shape from shading.52595395_2597242076957964_1318084158441914368_oPhoto courtesy of ICERM.
  • Workshop on Real Algebraic Geometry at ICERM, October 2018, presenting a poster titled “Representing the Space of Visual Depth Ambiguities as a Real Affine Variety”.
  • S3PM (Shape, Solid, Structure & Physical Modeling) at UC Berkeley, June 2017. Received a NSF student travel award.
  • ISIT (Information Theory) at RWTH Aachen University in Germany, June 2017, giving a talk titled The Number of Independent Sets in Hexagonal GraphsSlides from my talk.
  • SIAM-AG (Algebraic Geometry) at Georgia Tech, July 2017, presenting a poster titled Induced Probability Measures on Persistence Diagrams. My poster.File_000 (1).jpeg


My research sits at the intersection of statistics, geometry, and topology.

Programming languages: I prefer Python (notebooks), TensorFlow, and MATLAB, but also have experience with C++, Java, and HTML/CSS. In addition, I am familiar with Mathematica, LaTeX, and Magma. I also enjoy making mathematical figures in Adobe Illustrator — for example, those on this page!

Teaching experience: I was a teaching fellow ENGSCI 150 (Introduction to Probability for Engineers) at Harvard in Spring of 2015. I am honored to have received a Certificate of Excellence in Teaching, based on student evaluations.




You may notice some diversity in my work — I wear a lot of hats!

  • Ding J, Shahrampour S, Heal K, and Tarokh V. Analysis of Multi-State Autoregressive Models ; (In Press) IEEE Transactions on Signal Processing; 2018.
  • Deng Z, Ding J, Heal K, Tarokh V. The Number of Independent Sets in Hexagonal Graphs ; 2017 IEEE International Symposium on Information Theory (ISIT). 2017.

  • Enyioha C, Magnusson S, Heal K, Li N, Fischione C, Tarokh V. On Variability of Renewable Energy and Online Power Allocation ; IEEE Transactions on Power Systems. 2017.
  • Enyioha C, Magnusson S, Heal K, Li N, Fischione C, Tarokh V. Robustness Analysis for an Online Decentralized Descent Power Allocation Algorithm. 2016 Workshop on Information Theory and its Application. 2016.
  • Magnusson S, Heal K, Enyioha C, Li N, Fischione C, Tarokh V. Convergence of Limited Communications Gradient Methods, in American Control Conference. Boston, MA ; 2016.
  • Magnusson S, Enyioha C, Heal K, Li N, Fischione C, Tarokh V. Distributed Resource Allocation with Limited Bandwidth Communications for Power Networks, in Conference on Information Sciences and Systems. Princeton, NJ ; 2016.

  • Gilles J, Heal K. A parameterless scale-space approach to find meaningful modes in histograms – application to image and spectrum segmentation. International Journal of Wavelets, Multiresolution and Information Processing. 2014.