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Greg Malen

Phillip Griffiths Assistant Research Professor

Duke University

About Me

I am a postdoc at Duke University, working under the mentorship of Sayan Mukherjee. I completed my PhD at The Ohio State University in 2016 under the advisement of Matthew Kahle, and spent a semester as a research fellow at the Institute for Experimental and Computational Research in Mathematics (ICERM), before arriving at Duke.

My research interests include topological combinatorics, combinatorial and stochastic topology, topological and geometric data analysis, and combining the names of primary areas of research to describe more specific areas of research.

Interests

  • Random Cell Complexes
  • Graph Theory
  • Topological Data Analysis
  • Polyforms

Education

  • PhD in Mathematics, 2016

    The Ohio State University

  • BA in Mathematics and in Theatre, 2007

    Wesleyan University

Publications and Preprints

(2019). Topology and Geometry of Crystallized Polyominoes. arXiv preprint.

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(2019). Moduli Spaces of Morse Functions for Persistence. arXiv preprint.

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(2019). Collapsibility of Random Clique Complexes. arXiv preprint.

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(2019). Polyiamonds Attaining Extremal Topological Properties.
  • to appear in Geombinatorics, preprint arXiv:1906.08447*
.

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(2018). Homomorphism complexes and $k$-cores. Discrete Math..

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(2015). Measurable colorings of $S^2_r$. Geombinatorics.

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Talks

The Topology and Structure of Crystallized Polyforms. SUNY at Albany Algebra/Topology Seminar, October 2019.

Dense Random Clique Complexes. JMM Special Session on Topological Data Analysis, January 2018.

k-Collapsibility of Random Clique Complexes. IMA Applied Algebraic Topology Research Network, February 2017.

Teaching

At Duke:

MATH/STA 230 (and 730): Probability (Spring 2017, 2018, 2019; Fall 2017, 2019)

Current Syllabus: https://math.duke.edu/~gmalen/230/Fall_19/course.html

MATH 371: Combinatorics (Fall 2018)

MATH 412: Topological Data Analysis (Spring 2018)

My Favorite Crystallized Polyiamond

$$T_{315}\ast Spir_8$$ 1033 tiles and 315 holes

Contact

  • gmalen@math.duke.edu
  • 120 Science Drive, 031 Physics Building, Durham, NC, 27708-0320, United States
  • Tuesday/Thursday 2:00pm to 3:00pm