Lucius T. Schoenbaum
Department of Mathematics
Louisiana State University
Baton Rouge, LA 70803
Office: 125A Prescott Hall
Email: lschoe2 at lsu dot edu
CV: link


I am interested/am a student in:

Categorical Logic, Topos Theory, and related subjects.

My advisor is Daniel Sage. Here is a research statement.


"On the Syntax of Logic and Set Theory." Review of Symbolic Logic, 3, September 2010 arXiv:1003.4102

"Towards Visual Type Theory as Mathematical Tool and Mathematical User Interface." Proceedings of 2016 Conference on Intelligent Computer Mathematics (CICM 2016) Bialystok, Poland. link arXiv:1608.03026

"Monads and Generalized Categories." 2016. draft

"A Generalization of the Curry-Howard Correspondence." 2016. arXiv:1612.02816

"Ideal Toposes: First Report." in progress.

"Introduction to Generalized Categories." 2016. arXiv:1612.02885

Other Work

"Towards Theory and Applications of Generalized Categories in Areas of Type Theory and Categorical Logic." PhD thesis, in progress.

"Philosophy, Mathematics, and Proof Theory." Master's thesis. link