» Center of Excellence in Computation, Algebra, and Topology

The mission of the Center of Excellence in Computation, Algebra and Topology (CECAT) is to provide a forum for world class interdisciplinary research where computation meets algebra, topology and related mathematical fields. The CECAT has a track record of supporting its mission by hosting workshops that attract national and international visitors, attracting national and international visitors for research collaboration, developing affiliations with research groups at fellow institutions, seeking external funding and developing online mathematical resources. In addition, the Center will seek to support post-doctoral fellows and graduate students in affiliation with Chapman's graduate programs in Computational Sciences.

Separation Axioms

Separation Axioms

Mug and Torus Morph

Distributive Lattice

Distributive Lattice


photo of Drew Moshier

Drew Moshier

Professor of Mathematics and Computer Science, has been at Chapman University since 1994.  His research interests include real number computation, bitopolopgical spaces and their applications in logic and information theory, and computational linguistics.
photo of Michael Fahy

Michael Fahy

Professor of Mathematics and Computer Science, is interested in computational methods for generalizing the Ore condition to explore the structure of localizations of non-commutative rings.
photo of Peter Jipsen

Peter Jipsen

Professor of Mathematics, is an expert on algebraic logic and ordered algebraic structures. He is particularly interested in residuated lattices, including Linear logic algebras, Basic Logic algebras, MV-algebras, lattice-ordered groups and relation algebras, as well as lattices and semilattices with operators in general.
no photo available for Alexander Kurz

Alexander Kurz

Professor of Computer Science, studies models of computation using techniques from logic, algebra, topology, category theory and other areas of mathematics. He is known for his work on modal logic and coalgebras. More recently he has been pursuing foundations of quantitative logics for the specification and verification of heterogeneous systems as well as relational and compositional techniques supporting scalable solutions for blockchain-based technologies. He is also interested in applications of these mathematical techniques outside of computer science, in particular in economics and the political and social sciences.
no photo available for Oghenetega  Ighedo

Oghenetega Ighedo

Associate Professor of Mathematics
photo of Rick Ball

Rick Ball

Professor of Mathematics, University of Denver
photo of Frederick Dashiell, Jr.

Frederick K. Dashiell, Jr.

Ph. D. in Mathematics, Visiting Scholar at UCLA. Dr. Dashiell investigates areas in pointfree topology, lattice theory, topological questions related to computer science, rings of continuous functions, descriptive set theory, and Banach space theory. The interplay between algebra and topology remains a long time theme in his research.
photo of Achim Jung

Achim Jung

Professor of Theoretical Computer Science, University of Birmingham, UK. His research interests include domain theory, denotational semantics of programming languages, lambda calculus, topology, cryptography, and Computer Science education.
photo of Aleš Pultr

Aleš Pultr

Professor of Mathematics, Charles University, Prague, Czech Republic.
photo of Joanne Walters-Wayland

Joanne Walters-Wayland

Ph. D. in Mathematics. Research interests include frames (locales), σ-frames, Lindelöf frames and other aspect of point-free topology.
photo of Melvin Henriksen

Melvin Henriksen

Founding Member
Professor of Mathematics at Harvey Mudd College 1969-2009.
photo of Bernhard Banaschewski

Bernhard Banaschewski

Professor of Mathematics, McMaster University, Canada, 1955-2022

CECAT Workshops and Conferences

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