Department of Mathematics
Seminar Series
Upcoming Seminars
Date and Time: Friday, April 26
Location: PB 390 or Zoom
Speaker: Oscar Vega, Ph.D.
Title: Special Graphs (they are spatial and special)
Abstract: Spatial Graphs is the name given to embeddings of an abstract graph into (really, ). Given that a spatial graph is a ‘real object’, and not a purely combinatorial object anymore, many of the symmetries an abstract graph may admit could be lost once distances, angles, etc. must also be considered. In simple terms, our quest is to find out what symmetries of the abstract graph are also rigid motions of the embedded graph. Rigid motions are homeomorphisms of that are obtained via a space isotopy that takes the graph and ‘continuously deforms’ it in space only to obtain the same graph as the end object.
In this presentation we will go over the ideas needed to study the symmetry groups of spatial graphs: combinatorics, abstract algebra, topology, knot theory, and some coding and geometry. Also, we will talk about where the theory on spatial graphs is as of now, and we will take a glance at work that the presenter and one of his students (Audrey Baumheckel) are currently doing.
Recent Seminars
Date and Time: Friday, April 19
Location: Register to obtain the Zoom link: CRLC registration
Title: AI for Healthcare and Biomedicine
Date and Time: Friday, March 22, 2024, at 9 AM
Location: PB 390
Speaker: Michael Bishop, Ph.D.
Title: The Generalized Uncertainty Principle Approach to Quantum Gravity
Abstract: Reconciling theories of quantum mechanics with gravity general relativity is an open problem in mathematical/theoretical physics. Most theorists believe that there should be some minimum length scale beyond which no particle can localize. One mathematical framework to study this problem is via the Generalized Uncertainty Principle (GUP): the standard position and momentum operators are modified thus modifying the Heisenberg Uncertainty Principle and potentially providing a strictly positive lower bound on the uncertainty in position, that is, how localized the particle is. In this talk, I will provide background and history on the GUP approach, discuss generalizations to three dimensional space, and potential experimental frameworks to prove or disprove these theories.
Date and Time: Wednesday, November 29, 2023, at 12 PM
Location: Zoom (hosted by the Computational Research Leadership Council (CRLC))
Speaker: Diane Oyen (Los Alamos National Lab)
Title: Can we trust machine learning predictions to answer science questions?
Date and Time: Friday, October 13, 2023, at 12 PM
Location: PB 013
Speaker: Dr. Jesus Juyumaya (Universidad de Valparaiso, Chile) (visiting Fresno State)
Title: The Homflypt Polynomial
Abstract: In this talk, I will explain the construction of the Homflypt polynomial by Vaughan Jones. This knot polynomial invariant, together with the Kauffman polynomial, are fundamental pieces of modern knot theory. The talk will begin by giving the necessary concepts of knot theory and some elements of algebra to follow up the talk. Additionally, I will do explicit calculations of the Homflypt polynomial and I will show a sketch of the construction of the Kauffman polynomial due to Birman and Wenzl.
Date and Time: Friday, September 22, 2023 at 9 AM
Location: PB 390
Speakers: Katherine Kelm, Ph.D.; Mario Banuelos, Ph.D.; Howie Hua, M.A. (Fresno State)
Title: Group Contracts: an Essential Team-Building Tool (Dr. Kelm); Equitable Grading Practices and Rethinking Assessments (Dr. Banuelos); We are better together (Mr. Hua)
Abstracts:
Group Contracts: an Essential Team-Building Tool: In order for students to work successfully in teams, it is essential to scaffold team-building basics in the course. In particular, having student teams write their own contracts encourages them to visualize how they will complete tasks as a group, to have conversations on their expectations for what constitutes a good team player, and to get practice writing a clear agreement on these principles. In this brief talk I will describe the activities and prompts I give in my classes in order to help guide teams toward effective contracts. I will also show samples of student-written contracts for both upper- and lower-division courses.
Equitable Grading Practices and Rethinking Assessments: This talk will cover some equitable grading practices in assessments and the influence of bias in grading. Examples will be highlighted and will also include alternative summative assessments in STEM courses.
We are better together: This talk will cover how I implement study guides so students can help each other at any time.
Date and Time: Friday, September 8, 2023 at 9 AM
Location: PB 390
Speaker: Khang Tran, Ph.D. (Fresno State)
Title: On the zeros of certain Sheffer sequences and their cognate sequences
Abstract: This is a joint work with Gi-Sang Cheon from Sungkyunkwan University and Tamas Forgacs from Fresno State. We study conditions under which the zeros of a sequence of Sheffer polynomials lie on a critical line Re(s)=c. Through this study, we find uniform asymptotic formulas for these polynomials and the limiting probability density function for the zeros of these polynomials on the critical line. Although the proofs are technical, the motivations and the statements of the results in this talk are accessible for students.
Date and Time: Friday, October 7, 2022 at 9 AM
Speaker: Yaomingxin Lu, Ph.D. (Fresno State)
Title: Use of Technology in Assessing Students’ Mathematical Understanding and Supporting their Productive Struggles
Abstract: In Math Education, tracking students’ thinking process is always a focus when studying students’ learning and struggles. However, previous research had mainly focus on students’ final product of their work (homework, tests, writing) instead of their moment-by-moment problem solving/proving processes. In this talk, I plan to explore students’ thinking process and struggles using Technology tools such as LiveScribe Pen. LiveScribe Pen captures both audio and real-time writing using a camera near end of the ballpoint pen with a special paper. The use of the Livescribe pen to capture students’ proving processes is relatively novel in mathematics education research (e.g., Lew & Zazkis, 2019; Savic, 2015) and, to my knowledge, has not yet been applied to examine undergraduate students’ struggles. Future research on processes can also adapt Livescribe to capture students’ moment-by-moment actions. If time allows, I will also talk about using of another technology tool to support students’ productive struggles in learning of mathematics.
Location: Zoom
Date and Time: Friday, September 23, 2022 at 10 AM
Speaker: Gabor Molnar-Saska (Fresno State)
Title: What is the role of mathematics in a big bank - An introduction to financial mathematics
Abstract: Pricing derivatives is one of the most difficult and exciting problems in the financial
industry. Although it is not possible to
prepare for every possible future scenario, to determine the fair price under certain
assumptions is a purely mathematical question. In this presentation, I will talk about
the basics of option pricing in the binomial world and show its relationship with
probability theory. At the end of the presentation, I will talk about the extension
of the basic model to the continuous world where elements of stochastic calculus are
used as tools.
Location: Zoom
Date and Time: Thursday, September 29, 2022 at 1 PM
Speaker: Gabor Molnar-Saska (Fresno State)
Title: Research in the Academy versus in the Financial Industry
Abstract: The economic world has been changing continuously and today is always different from what we have seen before in history. In this changing environment scientific research is very important not only in academia, but also in the financial industry. Being a practitioner in finance for more than 16 years and also teaching and supervising master students at the university, in this presentation I would like to highlight the main similarities and differences between these two fields.
Location: Zoom
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.
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 Seminars
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
SPRING 2021 Seminars
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 Seminars
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
Title: Automorphism 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
Abstract:
Date and Time: Friday, September 11, at 9 AM
Location: Zoom
Title: Studying 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
https://heurisztika.btk.mta.hu/en/program
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
(see https://www.ams.org//meetings/sectional/2272_program_ss18.html#title).
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 https://www.uni-miskolc.hu/hmtm/ ), 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!
If you need a disability-related accommodation or wheelchair access information, please contact the mathematics department at 559.278.2992 or e-mail mathsa@csufresno.edu. Requests should be made at least one week in advance of the event.