The Department of Mathematics and Statistics at The Catholic University of America hosts a weekly seminar in Functional Analysis and Related Areas. Attendance is open to all interested members of the mathematics community, including students and faculty from other colleges and universities. See below for the title and an abstract of the upcoming presentation.

Visit our seminar archive for a list of past seminar speakers and their talks, with links to their abstracts.

Spring, 2026

THE CATHOLIC UNIVERSITY OF AMERICA
Washington, DC 20064
SEMINAR IN FUNCTIONAL ANALYSIS
AND RELATED AREAS
Wednesday, January 21, 2026
5:15 p.m. - 6:15 p.m. 

 SPEAKER : Professor Kiran Bhutani
                    The Catholic University of America

TITLE: A study of graph parameters for special graph constructions

ABSTRACT: My talk will be a two-part talk (time permitting) based on my recent work on: (1) secure domination of the Mycielskian of a graph, and (2) chromatic properties of graphs that grow according to some structural rules.
In Part (1), I will discuss secure domination in graphs and examine its relationship to the secure domination of the Mycielskian of a graph. This portion of the talk is a follow-up to a presentation given by Peter Ulrickson in November. I will present some of our recent results in this area. This is joint work with Peter Ulrickson (The Catholic University of America) and Anthony Christiana (The George Washington University).
In Part (2), I will discuss the chromatic number of a family of growing graphs designed to model learning processes. These models include learning under finite-memory constraints as well as perfect learning environments that retain all past information. This work is joint with Ravi Kalpathy (The Catholic University of America) and Hosam Mahmoud (The George Washington University).

 PLACE:  Aquinas Hall, Room 108. The talk will also be held on Zoom from 5:15 p.m. to 6:15 p.m. (ET). See the information about the corresponding link below.

ORGANIZERS: V. Bogdan (The Catholic University of America), P. Kainen (Georgetown University), R. Kalpathy (The Catholic University of America), and A. Levin (The Catholic University of America).

Tel: 202-319-5221  E-mail:levin@cua.edu

Web page:  
https://mathematics.catholic.edu/faculty-and-research/mathematics-seminar/index.html

The talk will be on Zoom as well (from 5:15 p.m. to 6:15 p.m. ET).   The following is the information about the corresponding link. 

Meeting Topic: SEMINAR IN FUNCTIONAL ANALYSIS AND RELATED AREAS
Meeting Time: Wednesdays  05:15 PM Eastern Time (US and Canada)

During the Fall and Spring Semesters
Zoom link: https://cua.zoom.us/s/92661437403
Meeting ID: 926 6143 7403