Megan Owen

Support

Some of the following publications are based on work supported by a National Science Foundation CAREER grant (DMS-1847271, 2019-2024) and Research Exerperience for Undergraduates grant (DMS-1461094, 2015-2018), as well as a Simons Foundation Collaboration Grant for Mathematicians (#355824, 2015-2019).

Refereed Papers: Journal articles, Conference Proceedings, and Book Chapters

Submitted and Preprints

• The space of equidistant phylogenetic cactuses
  with K.T. Huber, V. Moulton, A. Spillner, K. St. John
  [arXiv]
• Geodesics to characterize the phylogenetic landscape
  with M. Khodaei and P. Beerli
  [bioRxiv]

Published and Accepted

• On the maximum agreement subtree conjecture for balanced trees
  with M. Bordewich, S. Linz, K. St. John, C. Semple, K. Wicke
  SIAM Journal on Discrete Mathematics, 36: 336-354, 2022
• Maximum Covering Subtrees for Phylogenetic Networks
  with N. David, A. Hernandez, P. Mckenna, K.A. Medlin, J. Jian, R. Mojumder, A. Quijano, A. Rodriguez, K. St. John, K. Thai, M. Uraga
  IEEE/ACM Transactions on Computational Biology and Bioinformatics, 18: 2823-2827, 2020
• Properties for the Fréchet mean in Billera-Holmes-Vogtmann treespace
  with M. Anaya, O. Anipchenko-Ulaj, A. Ashfaq, J. Chiu, M. Kaiser, M.S. Ohsawa, E. Pavlechko, K. St. John, S. Suleria, K. Thompson, C. Yap
  Advances in Applied Mathematics, 120: article 102072, 2020
  [arXiv]
• Shortest Paths and Convex Hulls in 2D Complexes with Non-Positive Curvature
  with Anna Lubiw and Daniela Maftuleac
  Computational Geometry: Theory and Applications, 89: article 101626, 2020
  [arXiv]
• Geometric comparison of phylogenetic trees with different leaf sets
  with G. Grindstaff
  SIAM Journal on Applied Algebra and Geometry, 3: 691-720, 2020
  [arXiv]
• Mean and variance of phylogenetic trees
  with D. Brown
  Systematic Biology, 69: 139-154, 2020
  [journal]
• Analysis of Simulated Crowd Flow Exit Data: Visualization, Panic Detection and Exit Time Convergence, Attribution, and Estimation
  with A. Grim, B. Iskra, N. Ju, A. Kryshchenko, F. P. Medina, L. Ness, M. Ngamini, R. Paffenroth, and S. Tang
  Research in Data Science, pp. 239-281. Springer, Cham, 2019.
  [book chapter]
• Limiting behaviour of Fréchet means in the space of phylogenetic trees
  with Dennis Barden and Huiling Le
  Annals of the Institute of Statistical Mathematics, 70: 99-129, 2018.
  [journal][arXiv]
• On Determining if Tree-based Networks Contain Fixed Trees
  with Maria Anaya, Olga Anipchenko-Ulaj, Aisha Ashfaq, Joyce Chiu, Mahedi Kaiser, Max Shoji Ohsawa, Megan Owen, Ella Pavlechko, Katherine St John, Shivam Suleria, Keith Thompson, Corrine Yap
  Bulletin of mathematical biology, 78: 961-969, 2016.
  [journal][arXiv]
• Polyhedral computational geometry for averaging metric phylogenetic trees
  with Ezra Miller and Scott Provan
  Advances in Applied Mathematics, 68: 51-91, 2015.
  [journal]
• Geodesic atlas-based labeling of anatomical trees: Application and evaluation on airways extracted from CT
  Aasa Feragen, Jens Petersen, Megan Owen, Pechin Lo, Laura Thomsen, Mathilde Marie Winkler Wille, Asger Dirksen, and Marleen de Bruijne
  IEEE transactions on medical imaging, 34: 1212-1226, 2015.
  [journal][pdf]
• Quantification and visualization of variation in anatomical trees
  with Nina Amenta, Manasi Datar, Asger Dirksen, Marleen de Bruijne, Aasa Feragen, Xiaoyin Ge, Jesper Holst Pedersen, Marylesa Howard, Megan Owen, Jens Petersen, Jie Shi, and Qiuping Xu
  Research in Shape Modeling, Springer International Publishing, pp. 57-79, 2015.
  [book chapter][pdf]
• A note on the unsolvability of the weighted region shortest path problem
  with Jean-Lou De Carufel, Carsten Grimm, Anil Maheshwari, and Michiel Smid
  Computational Geometry, 47: 724-727, 2014.
  [journal]
• Tree-oriented analysis of brain artery structure
  with Sean Skwerer, Elizabeth Bullitt, Stephan Huckemann, Ezra Miller, İpek Oğuz, Vic Patrangenaru, Scott Provan, and Stephen Marron
  Journal of Mathematical Imaging and Vision, 50: no. 1-2, 126-143, 2014.
  [journal]
• Tree-space statistics and approximations for large-scale analysis of anatomical trees
  with Aasa Feragan, Jens Petersen, Mathilde MW Wille, Laura H Thomsen, Asger Dirksen, and Marleen de Bruijne
  Proceedings of the International Conference on Information Processing in Medical Imaging, pp. 74-85, 2013.
  [proceedings][pdf]
• Central Limit Theorems for Fréchet means in the space of phylogenetic trees
  with Dennis Barden and Huiling Le
  Electronic Journal of Probability, 18: no. 25, 1-15, 2013.
  [journal]
• Sticky central limit theorems on open books
  with Thomas Hotz, Stephan Huckemann, Huiling Le, Stephen Marron, Jonathan Mattingly, Ezra Miller, James Nolen, Vic Patrangenaru, Sean Skwerer
  Annals of Applied Probability, 23: 2238-2258, 2013
  [journal]
• First steps toward the geometry of cophylogeny
  with Peter Huggins and Ruriko Yoshida
  Proceedings of the Second CREST--SBM International Conference ``Harmony of Groebner Bases and the Modern Industrial Society'', pp. 99-116, 2012
  [proceedings][arXiv]
• Unsolvability of the weighted region shortest path problem
  with Jean-Lou De Carufel, Carsten Grimm, Anil Maheshwari, Michiel Smid
  Proceedings of the European Workshop on Computational Geometry (EuroCG), pp. 65-68, 2012
• Geodesics in CAT(0) Cubical Complexes
  with Federico Ardila and Seth Sullivant
  Advances in Applied Mathematics, 48: 142-163, 2012
  [journal]
• A hierarchical scheme for geodesic anatomical labeling of airway trees
  with Aasa Feragen, Jens Petersen, Pechin Lo, Laura Thomsen, Mathilde Wille, Asger Dirksen, Marleen de Bruijne
  Proceedings of Medical Image Computing and Computer-Assisted Intervention - MICCAI2012, Part III, pp. 147-155, 2012.
  [pdf]
• A Fast Algorithm for Computing Geodesic Distances in Tree Space
  with Scott Provan
  IEEE/ACM Trans. Computational Biology and Bioinformatics, 8: 2-13, 2011
  [journal][pdf]
• Computing Geodesic Distances in Tree Space
  SIAM Journal on Discrete Mathematics, 25: 1506-1529, 2011
  [journal][pdf]

Other

• Convex Hulls in 2D Complexes with Non-Positive Curvature
  with A. Lubiw and D. Maftuleac,
  Electronic Proceedings of the 26th Fall Workshop on Computational and Combinatorial Geometry (FWCG), 2016
  [proceedings]
• Multiple Principal Components Analysis in Tree Space
  with Sean Cleary, Aasa Feragen, and Daniel Vargas,
  in Mini-Workshop: Asymptotic Statistics on Stratified Spaces, extended abstracts, no. 44, pp. 33-36, 2014
• Linear Algorithm for Shortest Path Through Select Orthants
  Electronic Proceedings of the 17th Fall Workshop on Computational and Combinatorial Geometry (FWCG), 2007

Thesis

• Distance Computation in the Space of Phylogenetic Trees, 2008. Advisor: Louis Billera. [pdf]