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 Algebraic geometry
 Computational geometry
 Discrete geometry
 Symbolic algebra
 Algorithms
 Subdivision algorithms
 Variety approximation
Preprints
 M. Burr, E. Rafalin, and D. Souvaine. Dynamic maintenance of halfspace depth for points and contours.
(arXiv, preliminary version 14th FWCG)
 D. Lipman, M. Burr. Quadratic Generated Normal Domains From Graphs.
(arXiv)
Journal Publications
 M. Burr and R. Fabrizio. Uniform Convergence Rates for Halfspace Depth. Statistics & Probability Letters. 124, 3340, 2017.
(SPL, preliminary version arXiv)
 M. Burr. Continuous amortization and extensions: With applications to bisectionbased root isolation. Journal of Symbolic Computation. 77, 78126, 2016.
(JSC, preliminary version arXiv)
 M. Burr. Asymptotic purity for very general hypersurfaces of of Bidegree . Central European Journal of Mathematics. 10(2), 530542, 2012.
(CEJM)
 M. Burr and F. Krahmer. SqFreeEVAL: an almost optimal realroot isolation algorithm. Journal of Symbolic Computation. 47(2), 131152, 2012.
(JSC, preliminary version with C. Yap ECCC)
 M. Burr, S. Choi, B. Galehouse, and C. Yap. Complete subdivision algorithms II: Isotopic meshing of general algebraic curves. Journal of Symbolic Computation. 47(2), 153166, 2012.
(JSC, preliminary version ISSAC 2008, preliminary version with F. Krahmer 21st FWCG)
 T. Abbott, M. Burr, M. Chan, E. Demaine, M. Demaine, J. Hugg, D. Kane, S. Langerman, J. Nelson, E. Rafalin, K. Seyboth, V. Yeung. Dynamic hamsandwich cuts in the plane. Computational Geometry: Theory and Applications. 42(5), 419428, 2009.
(CGTA)
 M. Burr, E. Rafalin, and D. Souvaine. Simplicial depth: an improved definition, analysis, and efficiency for the finite sample case. In R. Liu, R. Serfling, D. Souvaine, editors, Data Depth: Robust Multivariate Analysis, Computational Geometry, and Applications, volume 72 of DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 195209. American Mathematical Society, 2006.
(DIMACS, preliminary version 16th CCCG)
 M. Burr, A. Cheng, R. Coleman, and D. Souvaine. An intuitive approach to measuring protein surface curvature. PROTEINS: Struture, Function, and Bioinformatics. 61, 10681074, 2005.
(PROTEINS, preliminary version 16th CCCG)
Conference Publications
 M. Burr, A. Lauric, and K. Mann. Searching for the center of an ellipse. In Proceedings of the 17th Canadian Conference on Computational Geometry. 260263, 2005.
(17th CCCG)
 M. Burr and D. Letscher. Guaranteed Quality Approximations for Medial Axis of Implicit Planar Curves. In Proceedings of the 24th Fall Workshop on Computational Geometry, 2014.
(24th FWCG)
Book Reviews

M. Burr. Review of Modern Computer Algebra by Joachim von zur Gathen and Jrgen Gerhard. INFORMS Journal on Computing. 27(1), 189191, 2015.
(INFORMS)
Author Locators
Ph.D. Students
MS Students
 Vito Capuano, “Polygon Distances with Applications to High Performance Liquid Chromatography”
 Robert Fabrizio
 Andrew Pitman
 Alan Hahn
Undergraduate Student Projects
 Jacob Maggio, “Newtonâ€™s method on graphical processing units”
 Robert Fabrizio, “Uniform Convergence Rates for Halfspace Depth”
 Andrew Pitman
 Joseph Bonitati