Skip to Main Content

Tibor Beke

Tibor Beke
Tibor BekeAssociate Professor
  • CollegeCollege of Sciences
  • DepartmentMathematical Science
  • Phone(978) 934-2445
  • EmailTibor_Beke@uml.edu

Research Interests

algebraic topology, logic, image processing, algebraic geometry

homotopical algebra, combinatorial structures over finite fields, mathematical morphology, categorical logic, computational topology

Education

  • Ph D: Mathematics, (1998), MIT - Cambridge, MA
    Dissertation/Thesis Title: Homotopy Theory and Topoi
  • BA: Mathematics, (1993), Princeton University - New Jersey

Awards and Honors

  • Rackham Faculty Fellowship - University of Michigan
  • Faculty Teaching Award (2012), Teaching - University of Massachusetts Lowell
  • Faculty Teaching Award (2007), Teaching - University of Massachusetts Lowell
  • Rackham Faculty Fellowship (2002) - University of Michigan
  • Rackham Faculty Fellowship (2001) - University of Michigan

Publications

  • Beke, T. (2017) "The Grothendieck ring of varieties and of the theory of algebraically closed fields," Journal of Pure and Applied Algebra 221:2 pp. 393–400
  • Beke, T., Rosicky, J. (2016) "Cellular objects and Shelah’s singular compactness theorem," Journal of Pure and Applied Algebra 220:5 pp. 1813–1836
  • Beke, T., Rosicky, J. (2016) "Elementary equivalences and accessible functors," arXiv preprint arXiv:1603.02500
  • Beke, T., Rosicky, J. (2012) "Abstract elementary classes and accessible categories," Annals of Pure and Applied Logic 163: pp. 2008-2017
  • Beke, T. (2011) "Categorification, term rewriting and the Knuth-Bendix procedure," Journal of Pure and Applied Algebra 215:5 pp. 728-740
  • Beke, T., others, . (2011) "Topological invariance of the combinatorial euler characteristic of tame spaces," Homology, Homotopy and Applications 13:2 pp. 165–174
  • Beke, T. (2011) "Zeta functions of equivalence relations over finite fields," Finite Fields and their Applications 17:1 pp. 68-80
  • Beke, T. (2010) "Fibrations of simplicial sets," Applied Categorical Structures 18:5 pp. 505-516
  • Beke, T. (2010) "Topological invariance of the combinatorial Euler characteristic of o-minimal sets," Homology, Homotopy and Applications 12: pp. 1-9
  • Beke, T. (2005) "Isoperimetric inequalities and the Friedlander-Milnor conjecture," Journal fur die Reine und Angewandte Mathematik 587 pp. 27-47
  • Beke, T., Karazeris, P., Rosicky, J. (2005) "When is flatness coherent?," Communications in Algebra 33:6 pp. 1903-1912
  • Beke, T. (2004) "Higher Cech theory," K-Theory 32:4 pp. 293-322
  • Beke, T. (2004) "Theories of presheaf type," Journal of Symbolic Logic 69:3 pp. 923-934
  • Beke, T. (2001) "Sheafifiable homotopy model categories, Part II," Journal of Pure and Applied Algebra 164:3 pp. 307-324
  • Beke, T. (2001) "Simplicial torsors," Theory and Applications of Categories 9: pp. 43-60
  • Beke, T. (2000) "Sheafifiable homotopy model categories," Mathematical Proceedings of the Cambridge Philosophical Society 129:3 pp. 447-475
  • Beke, T. (1999) "Operads from the viewpoint of categorical algebra," Contemp. Math. 227: pp. 29-47

Presentations

  • - Algebraic Stacks: Progress and Prospects, 2012 - Banff, Canada
  • - Instituto Superior Tecnico, 2012 - Lisbon
  • - New Developments in the Model Theory of Fields, 2009 - Durham, NH
  • - DARPA IPTO Workshop, 2008 - Arlington, MA
  • - Homotopy and Category Theory Conference, 2008 - Barcelona, Spain
  • - Methods in Scientic Computing Seminar, 2008 - Stanford, CA
  • - Topology Seminar, 2008 - Stanford, CA
  • - Gerbes, Groupoids, and Quantum Field Theory, 2006 - Vienna, Austria
  • - First Czech-Catalan Conference in Mathematics, 2005 - Prague, Czech Republic
  • - AMS Special Session on Group Cohomology, 2003 - North Carolina
  • - AMS Special Session on Algebraic Topology, 2002 - Ann Arbor, MI
  • - EuroPhD Topology Conference, 2001 - Barcelona, Spain
  • - Homotopy Theory Conference, 1998 - Oberwolfach, Germany

Contracts, Fellowships, Grants and Sponsored Research

  • Probability Quantifiers over Finite Fields (2010), Grant - NSA-AMS
    Beke, T. (Principal)
  • Enhanced Learning and Advice through Online Assignments (2008), Grant -
    Levasseur, K. (Co-Principal)
  • Singularity detection, nonlinear filters, and OCR (2006), Grant -
    Beke, T.
  • Faculty-Student Collaborative Research Grant (2005), Grant -
    Intoccia, B. (Supporting), Percival, J. (Supporting)
  • Computational and Algorithmic Representation of Geometric Objects (2003), Grant - NSF-DARPA
    Kormai, A. (Other)