Publications

Research papers

  • “Using Ramsey’s Theorem Once”, Jeffry L. Hirst and Carl Mummert.
    Submitted, 2016.
  • “Combinatorial batch codes with redundancy”, JiYoon Jung, Carl Mummert,
    Elizabeth Niese, and Michael Schroeder. Submitted, 2015. Preprint: http://arxiv.org/abs/1511.04580.
  • “Reverse mathematics of matroids”, Jeffry L. Hirst and Carl Mummert. In
    Computability and Complexity: Essays Dedicated to Rodney G. Downey on the Occasion of His 60th Birthday, Day, Fellows, Greenberg, Khoussainov, Melnikov, and Rosamond (Eds.), Theoretical Computer Science, 2017, pp. 143–159. Preprint: http://arxiv.org/abs/1604.04912
  • “On the existence of a connected component of a graph”, Kirill Gura, Jeffry L. Hirst, and Carl Mummert. Computability v. 4, 2015, pp. 103–117.
    DOI 10.3233/COM-150039. Preprint: arXiv:1406.4786
  • “The modal logic of Reverse Mathematics”, Carl Mummert, Alaeddine Saadaoui, and Sean Sovine. Archive for Mathematical Logic v. 54, 2015, pp. 424–437.
    DOI 10.1007/s00153-015-0417-z. Preprint: arXiv:abs/1401.0648
  • “On the number of mates of Latin squares of size 7 and 8”, Megan Bryant, James Figler, Roger Garcia, Carl Mummert, and Yudhisthir Singh. Proceedings of the 44th Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Congressus Numerantium v. 217, 2013, pp. 53–64. Preprint: PDF
  • “Reverse mathematics and properties of finite character”, Damir D. Dzhafarov and Carl Mummert. Annals of Pure and Applied Logic, v. 163, 2012, pp. 1243–1251. DOI 10.1016/j.apal.2012.01.007. Preprint: arXiv:1109.3378
  • “On the strength of the finite intersection principle”, Damir D. Dzhafarov and Carl Mummert. Israel Journal of Mathematics, v. 191, 2012, pp. 1–17. DOI 10.1007/s11856-012-0150-9. Preprint: arXiv:1109.3374
  • “Reverse mathematics and uniformity in proofs without excluded middle”, Jeffry L. Hirst and Carl Mummert, Notre Dame Journal of Formal Logic v. 52, 2011, pp. 149–162. DOI 10.1215/00294527-1306163. Preprint: arXiv:1010.5165
  • “Stationary and convergent strategies in Choquet games”, François G. Dorais and Carl Mummert, Fundamenta Mathematicae v. 209, 2010, pp. 59–79. DOI 10.4064/fm209-1-5. Preprint: arXiv:0907.4126
  • “Topological aspects of poset spaces”, Carl Mummert and Frank Stephan, Michigan Mathematical Journal v. 59, 2010, pp. 3–24. DOI 10.1307/mmj/1272376025. Preprint: arXiv:0912.3191
  • “Subsystems of second-order arithmetic between WKL0 and RCA0“, Archive for Mathematical Logic v. 47 n. 3, 2008, pp. 205–210. DOI 10.1007/s00153-008-0074-6. Preprint: ps pdf
  • “Reverse mathematics of MF spaces”, Journal of Mathematical Logic v. 6 n. 2, 2007, pp. 203–232. DOI 10.1142/S0219061306000578. Preprint: ps pdf
  • “Filters on computable posets”, Steffen Lempp and Carl Mummert, Notre Dame Journal of Formal Logic v. 47 n. 4, 2006, pp. 479–485. DOI 10.1305/ndjfl/1168352662. Preprint: ps pdf
  • “Reverse Mathematics and Π12 comprehension”, Carl Mummert and Stephen G. Simpson, Bulletin of Symbolic Logic v. 11 n. 4, 2005, pp. 526–533. DOI 10.2178/bsl/1130335208. Preprint: ps pdf
  • “An incompleteness theorem for βn models”, Carl Mummert and Stephen G. Simpson, Journal of Symbolic Logic v. 29 n. 2, 2004, pp. 612–616. DOI 10.2178/jsl/1082418545. Preprint: ps pdf

Books

  • Reverse Mathematics, Damir D. Dzhafarov and Carl Mummert, Theory and Applications of Computability, CIE/Springer. In preparation.
  • Finite Fields and Applications, Gary Mullen and Carl Mummert, AMS Student Mathematical Library v. 41, 2007. 175 pages. ISBN: 978-0-8218-4418-2. Amazon.com sales page

Dissertation

  • On the Reverse Mathematics of General Topology. PhD thesis, Penn State, 2005. Download: pdf

Author identifiers

My ORCID id is orcid.org/0000-0002-8290-9458.
My arXiv id is au:Mummert_C.