Home page of Joseph Doolittle

Department of Mathematics
University of Kansas
1460 Jayhawk Blvd
Lawrence, Kansas 66045-7567

Contact information:

Office: 560 Snow Hall
Phone: (925)-555-6310
Fax: (785) 864-5255
E-mail: jdoolitt{at}ku.edu
URL: http://www.math.ku.edu/~j429d103/

Spring 2018 Schedule:

TR 11am Office Hours Snow 560
MW 2pm Office Hours Snow 560

About me

I graduated from University of California, San Diego with a Bachelors of Science in mathematics in 2013. I earned a Master's Degree from University of Kansas in 2016. My area of research is combinatorics, advised by Margaret Bayer. My past and future work has been focused on polytopal and simplicial cellulations of manifolds, and combinatorial properties of these. I am currently working on a project involving reconstruction of simplicial complexes of a specified class from their facet-ridge incidences. I have three cats.

Research Papers

  1. A small counterexample to Perles's Conjecture (not yet publicly available)
  2. Partition Extenders (not yet publically available, with Bennet Goeckner and Alex Lazar)
  3. Higher Nerves of Simplicial Complexes (submitted, with Hailong Dao, Ken Duna, Bennet Goeckner, Brent Holmes, and Justin Lyle)
  4. On the reconstruction of polytopes (with Eran Nevo, Guillermo Pineda-Villavicencio, Julien Ugon, and David Yost)
    Discrete Comput. Geom. (2018). [PDF | arXiv]

Binomial Formulas

At the sugguestion of Justin Lyle, I am compiling a list of Binomial Formulas. Some of these are well known and the proofs are easily availible, some are well known without previously public proofs, and some are poorly known. This is an ongoing project, if you have a binomial formula that doesn't apper, please email it to me!
Binomial Formulas


Apparently you can ssh to galois.math.ku.edu from anywhere in the world.