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Tibor Beke


Tibor Beke
Tibor BekeChair, Associate Professor, Department of Mathematical Sciences
  • College
    College of Sciences
  • Department
    Mathematical Science
  • Phone
    (978) 934-2445
  • Email

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

Selected 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

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

Selected 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 Scientific 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

Selected 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)