Year: 2024

How I Succeeded? From Student to Academician

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This month’s theme of our career event, which we organized in cooperation with DEU Career Planning Center and DEU Faculty of Science Department of Mathematics, is “How I Succeeded”. The talk titled “From Student to Academician”, which we will hold under the moderation of our Mathematics Department KPMI Student Representative Ayşenur YAZICI and with the participation of Mathematics Department faculty member Asst.Prof. Dr. Murat ALTUNBULAK, is open to everyone and everyone who is interested is welcome.

Speaker: Asst.Prof.Dr. Murat ALTUNBULAK
Moderator: Ayşenur YAZICI
Date and Time: 23.02.2023, 12:00
Location: Classroom B256 (Faculty of Science, Department of Mathematics)

Computing eigenvalues of the discrete p-Laplacian via graph surgery

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Matthias Hofmann, Texas A&M University Date: 16th February 2024, Friday Time: 13:00 Place: DEU, Faculty of Science, Department of Mathematics, Room B255

Abstract: We discuss the dependence of the eigenvalues and eigenfunctions for the discrete signed p-Laplacian under perturbation by a cut parameter. In particular, we prove a formula for the derivative of the eigenvalues and show that the eigenvalues of the discrete signed p-Laplacian on the original graph can be characterized via extremal points of the perturbed system. In this context, we elaborate on how graph surgery can be used in order to compute eigenvalues of the discrete (signed) p-Laplacian by looking at some examples. The derivation formula is reminiscent of the formula for linear eigenvalue problems given by the Hellmann-Feynman theorem and our results extend previous results for the linear case p=2 attained by [Berkolaiko, Anal. PDE 6 (2013), no. 5, 12131233].

AES Encryption Surrounds Us; We Surround AES Encryption

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Orhun Kara, İzmir Institute of Technology . Date: 31th of January, 2024, Wednesday, Time: 10.30 – 12.00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206 (Online-Sakai-Graduate Meetings).

Abstract:

The NIST Advanced Encryption Standard, AES, is without doubt the most used encryption algorithm all over the world. AES supplies confidentiality in almost all the ubiquitous cryptographic protocols including Whatsapp security, TLS, WPA. In this talk, we introduce algebraic aspects and the design philosophy of AES. Moreover, we try to convince the audience that AES appears sufficiently secure to protect our data by presenting supporting security evidence and introducing some unsuccessful attack attempts.