Skip to Main Content

Tibor Beke

Tibor Beke is the Chair, Associate Professor, Department of Mathematical Sciences at UMass Lowell.
Tibor Beke Associate Professor

Expertise

Algebraic topology, model theory, image processing

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

  • Fulbright Scholar (2013)
  • 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. (2019). Morphisms of context-free grammars.
  • 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

  • - 16th International Congress of Logic, Prague, Czech Republic, 2019
  • - Category Theory Seminar, CUNY, 2019
  • - Accessible categories and their connections, University of Leeds, 2018
  • - Logic Seminar, Harvard University, 2018
  • - Toposes in Como, Universita degli Studi dell'Insubria, 2018
  • - Algebra Seminar, University of Washington, Seattle, 2015
  • - Logic Colloquium, Helsinki, 2015
  • - 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

  • QRM: Microstructural quantification and virtual reconstruction of polymer matrix composites within the Integrated Computational Materials Engineering (ICME) approach (2018), Grant - NSF
    Maiaru, M., Stapleton, S., Liu, F., Beke, T.
  • Geometric proof and discovery: human and artificial intelligence (2016), Grant - John Templeton Foundation
    Beke, T.
  • 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)