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Department of Mathematics

Seminar Series

Upcoming Seminars

Date and Time:  Friday, March 25, 2022 at 9 AM

Speaker:  Carmen Caprau

Location:  Zoom

Abstract:  In this presentation, we introduce the concept of colored links and construct a rational function that is an invariant for colored links. Our construction makes use of colored planar graphs with vertices of degree four. We prove that the corresponding link invariant yields certain graphical relations for 4-valent planar graphs; these graphical relations provide an efficient way for computing the invariant of a given colored link. We also explain how our construction allows for extending the invariant to another type of links, called colored singular links.  This is joint work with undergraduate students Audrey Baumheckel and Conor Righetti.

Recent Seminars

Date and Time:  Friday, October 22, 2021, at 9 AM

Speaker:  Marat Markin

Location:  Zoom

Title:  On the Chaoticity of Derivatives

Abstract:  We introduce sufficient conditions for linear chaos and thereby show that the nth derivative with maximal domain is a chaotic operator in the spaces C[a, b] and Lp(a, b) (-\infty < a < b < \infty) for each n \in \mathbb{N}.

The new results are to be presented for the first time.

FALL 2021

Date and Time:  Friday, October 7, 2021, at 9 AM

Speaker:  Tamás Forgács

Location:  Zoom

Title:  Very triangular number – an exploration

Abstract:  Very triangular numbers are an example of a subset of the natural numbers with the property that (i) they are defined by a polynomial f:N -> N, and that (ii) the sum of their binary digits also belongs to f(N). In this talk we prove a number of results concerning very triangular numbers and their distribution among the triangular numbers. We show that their (natural) density within the set of triangular numbers is zero, and discuss some open questions regarding the existence and length of arithmetic progressions of very triangular numbers among the triangular numbers


Date and Time:  Friday, April 16, at 8:50 AM

Location:  Zoom link

Speaker:  Marat Markin

Title:  On Spectral Mapping Theorems and Asymptotics of Scalar Type Spectral C0-Semigroups

Abstract:  We establish spectral inclusion and mapping theorems for scalar type spectral operators and thereby extend a weak spectral mapping theorem and a generalized Lyapunov stability theorem, known to hold for the C0-semigroups of normal operators on complex Hilbert spaces, to the more general case of the C0-semigroups of scalar type spectral operators on complex Banach spaces. For such semigroups, we also obtain a spectral mapping theorem for point and continuous spectrum and exponential estimates with the best stability constants. Further, we extend to a Banach space setting the Gearhart-Prüss-Greiner characterization of uniform exponential stability for C0-semigroups on complex Hilbert spaces and acquire as an instant corollary a characterization of uniform exponential stability for scalar type spectral and eventually norm-continuous C0-semigroups.

FALL 2020

Date and Time: Friday, October 30, at 9 AM 

Location: Zoom link

Speaker: Marat Markin

Title: On Weak Spectral Mapping Theorems, Spectral Structure and Asymptotics of C0-Semigroups Generated by Scalar Type Spectral Operators

Abstract: We establish a weak spectral mapping theorem for scalar type spectral operators and apply it to extend a weak spectral mapping theorem and the generalized Lyapunov stability theorem, known to hold for the C0-semigroups of normal operators on complex Hilbert spaces, to the more general case of C0-semigroups of scalar type spectral operators on complex Banach spaces. For such semigroups, we also reveal finer spectral structure, obtain exponential estimates, and establish an analogue of the Gearhart-Prüss-Greiner characterization of the uniform exponential stability for C0-semigroups on complex Hilbert spaces.

Date and Time: Friday, October 23, at 9 AM

Location: Zoom

TitleAutomorphism Groups of Spatial Graphs and Hyperplane Arrangements over Finite Fields

Speaker: Oscar Vega

Date and Time: Friday, September 25, at 9 AM 

Location: Zoom

Title: Zero distribution of a Sheffer sequence

Speaker: Khang Tran


Date and Time: Friday, September 11, at 9 AM

Location:  Zoom

TitleStudying Heuristics and Problem Solving: Highlights of my work during My Difference in Pay Leave

Speaker: Agnes Tuska

Abstract:  As I planned in my Difference in Pay Leave application for the 2019-2020 academic year, I helped Dr. Andrew Benedek to organize and run the 2nd International Conference on Heuristics: Motivating, Orienting and Modeling Invention in Balatonfured, Hungary, August 30-September 1, 2019. The program of the conference is available at the website

As a continuation of our work, I proposed and led the organization of a special session on How to Solve It? Heuristics and Inquiry Based Learning with co-organizers Mario Banuelos and Andrew Benedek for the American Mathematical Society’s Spring Western Sectional Meeting,

California State University, Fresno, May 2-3, 2020


I was a scheduled presenter there. The conference was cancelled due to the pandemic. However, I decided to give the presentation I planned for the AMS meeting on George Polya’s influence on mathematics competitions in the USA at the History of Mathematics & Teaching of

Mathematics International Conference (see ), in which I was a member of the Organizing and Scientific Committee. During April, we re-organized the conference into a virtual conference, still hosted by the University of Miskolc, May 20-24, 2020. Later, as invited speaker, I also presented an extended version of this talk at the online Summer University/Intensive Course on “Central European Contributions to the History of Mathematics and Teaching Mathematics”, organized by the CEEPUS Network, coordinated by the University of Miskolc, July 6-17, 2020. Now I want to share some of my findings with you in the Fresno State community, too!

FALL 2019

Date and Time: Friday, November 8, 2019, at 9 AM

Location:  PB 032

TitleOn the Gevrey Ultradifferentiability of Weak Solutions of an Abstract Evolution Equation

Speaker: Marat Markin 

Abstract:  Abstract for November 8


Date and Time: Friday, October 18, 2019, at 9 AM

Location: PB 032

Title: Two-intersection sets in the project space PG(3,9)

Speaker:  Morgan Rodgers


Abstract for October 18, 2019 Seminar


Date and Time: Friday, September 27, 2019, at 9 AM

Location: PB 032

Title: Rainbow Spanning Trees in Edge-Colored Complete Graphs

Speaker: Katherine Perry, Ph.D. (Soka University)


abstract for Sept. 27 seminar


If you need a disability-related accommodation or wheelchair access information, please contact the mathematics department at 559.278.2992 or e-mail  Requests should be made at least one week in advance of the event.

Archived Seminars