Year: 2024

On the Edge Cover Polynomial Properties of Certain Graph Families

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Prof. Dr. Feryal Alayont, Mathematics at Grand Valley State University

Date: May 16, 2024, Thursday

Time: 11:00 am

Place: B257, Faculty of Science, Dokuz Eylül University

Abstract: An edge cover of a simple graph is a subset of the edges so that each vertex is incident with at least one edge in the subset. The edge cover polynomial of a graph is the generating polynomial of the number of edge covers of the graph. Specifically, the edge cover polynomial is defined as where is the number of edge covers with edges. The edge cover polynomials of path and cycle graphs are known to have real roots, and hence have log-concave and unimodal coefficients. In this talk, we will describe how to construct other graph families whose edge cover polynomials have real roots and some whose polynomials have non-real roots, but still have log- concave and unimodal coefficients. This is joint work with Evan Henning and Can Selek.

Feryal Alayont is a Professor of Mathematics at Grand Valley State University. She received her B.S. in mathematics from Bilkent University, Turkey, and her Ph.D. in mathematics from the University of Minnesota. She was a teaching postdoctoral fellow at the University of Arizona from 2003 to 2006. Since 2006, she has been at Grand Valley State University in the Department of Mathematics, where she also served as the Mathematics Advising and Engagement Coordinator from 2016-2022. She is an active undergraduate research mentor and has mentored more than 75 students at GVSU. Her research interests include enumerative combinatorics, graph theory, ethics in mathematics, and the scholarship of teaching of mathematics.

Graduate Education in the Department of Mathematics at DEU

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This month’s theme of our career event organized by DEU Faculty of Science Department of Mathematics in cooperation with DEU Career Planning Center and DEU The Graduate School of Natural And Applied Sciences is “Informing Undergraduate Students about Graduate Programs”. Everyone who is interested is invited to the talk titled “Graduate Education in the Department of Mathematics at DEU” given by  Asst. Prof. Dr. Celal Cem SARIOĞLU (Graduate Program  Coordinator of the Mathematics Department) and by  other faculty members of the Department of Mathematics under the moderation of Assoc. Prof.Dr. Aslı GÜÇLÜKAN İLHAN.

Date: Wednesday, 22.05.2024

Time: 13.00-14.00

Location: Classroom No. B255 (DEU Fac. of Sci., Dept. of Math., Block B, 2nd floor)

Speakers:

  • Asst.Prof.Dr. Celal Cem SARIOĞLU (Graduate Program Coordinator of Mathematics Department, DEU)
  • Faculty members of the Department of Mathematics, DEU

Moderator: Assoc. Prof. Dr. Aslı GÜÇLÜKAN İLHAN

How to Prepare TÜBİTAK 2209 Projects?

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This month’s theme of our career event organized by DEU Faculty of Science Department of Mathematics in cooperation with DEU Career Planning Center is “I am writing a TÜBİTAK 2209-A/B Project”. Everyone who is interested is invited to the conversation on “How to Prepare TÜBİTAK 2209 Projects?“, which we will hold with Can SELEK (Project manager) and Assoc.Prof.Dr. Aslı GÜÇLÜKAN İLHAN (Project Advisor), their 2009-A projects were supported by TUBİTAK within the scope of 2023, 2nd term applications.

Date: Tuesday, 07.05.2024

Time: 15.00-16.00

Place: Classroom No. B253 (Fac. of Sci. Dept. of Math., Block B, 2nd floor)

Speakers:

  • Can SELEK (Undergraduate student, Mathematics Department, DEU),
  • Assoc.Prof.Dr. Aslı GÜÇLÜKAN İLHAN (Mathematics Department, DEU)

Moderator: Asst.Prof.Dr. Celal Cem SARIOĞLU

Applications of Symplectic Supergeometries in Particle, String and Membrane Models

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Cem Yetişmişoğlu, İstanbul Technical University Postdoctoral Researcher.

Date: 30th of  April, 2024, Tuesday.

Time: 11.30 – 12.30.

Place: Zoom (https://itu-edu-tr.zoom.us/j/94090890378?pwd=RHpFc1l6MFBjcWU3ZGdidW9qcWRGUT09

Meeting ID: 940 9089 0378

Passcode: 035170.)

Abstract: In this talk we will talk about symplectic supergeometries and their applications coming from different areas of mathematical physics. In the first part, we will look at an application regarding statistical mechanical applications to systems with discrete degrees of freedom (math-ph:2311.05711). In the second part, we will talk about algebraic structure of symmetries associated with string/membrane models which are called algebroids. Moreover for string dualities one is interested in bialgebroids and their Drinfel’d doubles. These notions can naturally be studied using symplectic supergeometries (Voronov, Roytenberg). In this talk we will talk about reformulations of these structures in terms of vector bundles and calculi that we defined on them (hep-th:2312.06584).

Ultrafilters and Some of Their Applications

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Haydar Göral, İzmir Institute of Technology . Date: 26th of April, 2024, Friday, Time: 13.00 – 14.00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Class B255

Abstract: In this talk, we first define ultrafilters on a non-empty set. Then, we see that there is a natural topology on the set of ultrafilters on the positive integers, and in fact this is the Stone-Cech compactification of the positive integers. Moreover, this compact space has an associative binary operation extending the addition of the positive integers. Finally, we will show how this topological semigroup is crucial for proving Ramsey theoretical results from combinatorics.

Different Career Routes : Air Traffic Controller

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This month’s theme of our career event organized by the DEU Faculty of Science Department of Mathematics in cooperation with the DEU Career Planning Center is “Different Career Routes”. Everyone who is interested is invited to the conversation on “Air Traffic Controller”, which we will hold with “Tuğçe SERTOĞLU”, 2009 graduate of the Department of Mathematics, who works as an air traffic controller in state airports. (Participants other than Mathematics Department students are requested to contact the moderator to participate the event.)

Speaker: Tuğçe SERTOĞLU (DEU Mathematics 2009 Graduate / DHMI Air Traffic Controller)
Moderator: Asst. Prof. Dr. Celal Cem SARIOĞLU
Date and Time: 29.03.2024, 21:00
Location: online.deu.edu.tr
Channel:  DEUMatematikKARİYER

Matematiksel Bilginin Doğası

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Prof. Dr. Beno KURYEL, İzmir Ekonomi Üniversitesi (Ege Üniv. Kimya Mühendisliği, Emekli) Tarih: Daha sonra ilan edilecek. Zaman: Daha sonra ilan edilecek. Yer: Deü Fen Fakültesi B255 nolu derslik

Özet: Matematik, tarih boyunca felsefi düşüncenin ve araştırmalarının zengin kaynaklarından birisi olmuştur. Karşılıklı bir etkileşim bütünlüğünde felsefe de matematiksel bilginin üretimine, kavramsal zenginlik kazanmasına, yöntemsel tasarımların oluşmasına kaynaklık etmiştir. Ancak son yıllarda teknolojinin belirleyici kültür şemsiyesinde matematik, teknik ve pragmatik bir araçsallığa indirgenmiştir. Bu durum hem matematik öğrenimini hem de matematiksel teori ve pratiği dar bir kalıp içine hapsetmektedir. Matematiksel bilginin doğasını incelemek ve öğretim süreçleri ile bütünleştirmek bu araçsallığın eleştirisi için atılacak önemli adımlardan birisidir. Bu çalışma, konunun farklı boyutlar içinde bilgikuramsal bir çözümlemesini ve yeni felsefi açılımların geliştirilmesini hedeflemektedir.

A Countable Prime Avoidance Theorem and Its Generalization to Prime Submodules

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M. R. Pournaki, Sharif University of Technology. Date: 29th of March, 2024, Friday, Time: 13.00 – 14.00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B255.

Abstract: One of the fundamental cornerstones of commutative ring theory is the prime avoidance theorem, which states that, if \frak{p_1},\ldots,\frak{p_n} are prime ideals of R and \frak{a} is an ideal of R such that \frak{a}\subseteq {\bigcup_{i=1}^n} \frak{p_i}, then \frak{a}\subseteq \frak{p_i} for some 1\leq i\leq n. In this talk, we give a proof for the countable version of this theorem due to Sharp and Vamos. The proof uses the celebrated Baire’s category theorem in metric spaces. We then discuss its generalization to the prime submodules.

A Glimpse to the Stanley Depth: A Geometric Invariant for Modules

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M. R. Pournaki, Sharif University of Technology. Date: 22nd of March, 2024, Friday, Time: 13.00 – 14.00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B255.

Abstract: Stanley depth is a geometric invariant of a module which has some common properties with the homological depth invariant. In this talk, we first review briefly the basic concepts of Stanley depth and then discuss some of the recent developments in the theory.