BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Deniz Eroğlu (Imperial College London) DTSTART:20261007T113000Z DTEND:20261007T123000Z DTSTAMP:20261026T105419Z UID:MathEngSeminars/2 DESCRIPTION:Title: Network-Oriented Dynamics and Data Science: A Mathematical View of Interacting Systems\nby Deniz Eroğlu (Imperial College London) as pa rt of Istanbul Technical University Mathematical Engineering Department Se minars\n\nLecture held in Fen-Edebiyat Fakültesi B1-326.\n\nAbstract\nMan y high-dimensional systems can be represented as networks of interacting d ynamical units. Their observable behaviour often depends less on the indiv idual components than on the collective organisation created by network to pology\, heterogeneity and nonlinear coupling.\n\nThis talk will provide a broad overview of the mathematical research programme developed within th e Network-Oriented Dynamics and Data Science group. Starting from determin istic and random dynamical systems\, I will discuss how interaction struct ure shapes synchronisation\, stability\, emergence and bifurcations\; how high-dimensional network problems can be reduced to analytically and compu tationally tractable descriptions\; and how governing dynamics and interac tion networks can be reconstructed from data. Particular attention will be given to identifying loss of stability and critical transitions from part ial or noisy observations.\n\nExamples from neural and genetic networks\, climate dynamics\, power grids and transport systems will illustrate the c ommon mathematical questions behind these applications. Rather than focusi ng on a single result\, the talk will trace the development of this progra mme from the mathematical foundations of collective dynamics to data-drive n reconstruction\, model reduction and the detection of critical transitio ns.\n\nShort Bio:\n\nDeniz Eroğlu received his PhD in theoretical physics from Humboldt University Berlin. Following postdoctoral research position s in the Department of Mathematics at Imperial College London and at North western University\, he joined Kadir Has University in 2019. He returned t o Imperial College London as a Research Fellow from 2024 to 2026\, where h e worked on random dynamical systems and their applications and contribute d to teaching and doctoral supervision.\n\nHis research lies at the inters ection of dynamical systems\, complex networks and data-driven mathematics . He leads the interdisciplinary Network-Oriented Dynamics and Data Scienc e group\, which studies collective behaviour\, network reconstruction\, ma thematical reduction and critical transitions in biological\, physical and engineered systems. His research has been supported by TÜBİTAK and Euro pean Union programmes. He received the Science Academy’s 2021 Young Scie ntist Award in Physics and will join the University of Western Australia a s a Senior Lecturer in 2027.\n LOCATION:https://researchseminars.org/talk/MathEngSeminars/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Nazlı Doğan (Fatih Sultan Mehmet Vakıf University) DTSTART:20261014T120000Z DTEND:20261014T130000Z DTSTAMP:20261026T105419Z UID:MathEngSeminars/3 DESCRIPTION:Title: Toeplitz Operators: From Hardy and Bergman Spaces to Köthe Spaces \nby Nazlı Doğan (Fatih Sultan Mehmet Vakıf University) as part of Istanbul Technical University Mathematical Engineering Department Seminars \n\nLecture held in Fen-Edebiyat Fakültesi B1-326.\n\nAbstract\nToeplitz operators constitute a classical and extensively studied class of operator s arising\nnaturally in the theory of Hilbert spaces\, particularly in the setting of Hardy and Bergman\nspace. Their classical theory begins with H ardy spaces and extends naturally to Bergman\nspaces. In this talk\, we fi rst introduce Toeplitz operators on Hardy spaces and then examine their de finition and properties on Bergman spaces. We discuss compactness criteria for\nToeplitz operators in this setting and present some results obtained jointly with Şahutoğlu. \n\nMore recently\, the study of Toeplitz opera tors has been extended beyond the classical\nHilbert space setting to broa der classes of topological vector spaces. Jasiczak introduced\nand charact erized the class of Toeplitz operators on the Fréchet space of entire fun ctions. \nThis naturally leads us to consider Toeplitz operators on Köthe spaces\, which provide a broader locally convex framework containing impo rtant spaces of holomorphic functions.\nWe discuss their compactness and i nvestigate several of their dynamical properties\, including topologizabil ity\, power boundedness\, and mean ergodicity.\n\nShort Bio:\n\nAssist. Pr of. Dr. Nazlı DOĞAN received her B.Sc. degree from the Department of Mat hematics at Istanbul University in 2011. She completed her M.Sc. studies i n 2013 at the Department of Mathematics and Computer Science\, Istanbul K ültür University\, under the supervision of Prof. Dr. Mert ÇAĞLAR\, an d earned her Ph.D. degree in 2020 from the Department of Mathematical Engi neering at Istanbul Technical University under the supervision of Prof. Dr . Kamil ORUÇOĞLU and Prof. Dr. Aydın AYTUNA.\n\nFrom 2015 to 2019\, she worked as a research assistant at the Department of Mathematics\, Istanbu l Technical University. Between 2020 and 2022\, she served as an assistant professor at Nişantaşı University. Since 2022\, she has been an assist ant professor in the Department of Artificial Intelligence and Data Engine ering\, Faculty of Engineering\, Fatih Sultan Mehmet Vakıf University. Du ring 2023–2024\, she conducted postdoctoral research at the University o f Toledo with Prof. Dr. Sönmez ŞAHUTOĞLU under the TÜBİTAK 2219 Inter national Postdoctoral Research Fellowship Program.\n\nHer research focuses on the structural theory of Fréchet spaces\, operator theory on Fréchet and Hilbert spaces\, particularly Hankel and Toeplitz operators\, and pro blems at the intersection of functional analysis and several complex varia bles.\n LOCATION:https://researchseminars.org/talk/MathEngSeminars/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Ahmet Göncü (Istanbul Technical University) DTSTART:20261021T113000Z DTEND:20261021T123000Z DTSTAMP:20261026T105419Z UID:MathEngSeminars/4 DESCRIPTION:Title: Real-Time Market Regime Identification in Borsa İstanbul: Machine Learning versus Simple Trend Rules\nby Ahmet Göncü (Istanbul Techni cal University) as part of Istanbul Technical University Mathematical Engi neering Department Seminars\n\nLecture held in Fen-Edebiyat Fakültesi B1- 326.\n\nAbstract\nThis study examines whether up- and down-regimes of the BIST-30 index can be identified in real time without look-ahead bias. Regi mes are defined by peaks and troughs of the smoothed price series\, with l abels recomputed at each model update from past prices only. Machine-learn ing classifiers and a Markov-switching model are evaluated in a walk-forwa rd design over a 20-year out-of-sample period (2006–2026)\, against buy- and-hold\, Turkish lira deposit rates and simple trend rules\, net of tran saction costs. A long-only regime filter matches buy-and-hold returns with about 35% lower volatility and cuts the maximum drawdown from 64% to abou t 25%\, although excess returns are not statistically significant. Machine learning performs on par with a simple moving-average rule while trading less\, and long-short strategies and take-profit exits do not improve perf ormance. The results point to regime filters as a tool for improving risk- adjusted performance: their lower volatility allows leveraged implementati on through index futures\, where the same risk budget translates into high er returns.\n\nShort Bio:\n\nAhmet Göncü is an Associate Professor of Fi nance in the Department of Management Engineering at Istanbul Technical Un iversity. He received his PhD in Financial Mathematics from Florida State University in 2009 and spent the 17 years working abroad\, including 12 ye ars in China at Shandong University and Xi'an Jiaotong-Liverpool Universit y\, where he supervised four PhD students to completion. His research cove rs quantitative finance\, asset pricing\, Monte Carlo simulations\, risk m anagement and algorithmic trading. He has published 36 articles in interna tional journals\, such as Quantitative Finance\, Annals of Operations Rese arch\, International Review of Financial Analysis\, and is the author of b ooks on quantitative finance and portfolio management. Alongside his acade mic work\, Dr. Göncü has advised hedge funds and designed algorithmic tr ading strategies for China's commodity futures markets. He still works on developing trading strategies and software solutions for fund management i ndustry in Türkiye.\n LOCATION:https://researchseminars.org/talk/MathEngSeminars/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Tuğçe Sezer (Istanbul Technical University) DTSTART:20261104T113000Z DTEND:20261104T123000Z DTSTAMP:20261026T105419Z UID:MathEngSeminars/5 DESCRIPTION:Title: The Effect of Material Inhomogeneity and Boundary Irregularities o n Nonlinear SH Wave Propagation\nby Tuğçe Sezer (Istanbul Technical University) as part of Istanbul Technical University Mathematical Engineer ing Department Seminars\n\nLecture held in Fen-Edebiyat Fakültesi B1-326. \n\nAbstract\nIn this study\, nonlinear SH-wave propagation in a layered h alf-space with spatially varying material properties and irregular boundar ies is examined\, and a systematic framework for the mechanisms governing propagation behavior is developed. The medium is a layered half-space of d ifferent materials with weak spatial inhomogeneity\, so the parameters of the layer and underlying half-space vary continuously. Both the free surfa ce and the layer-half-space interface are irregular\, described by propaga tion-direction-dependent functions without prescribing specific forms. Non linear SH-wave propagation is the central problem\, studied within nonline ar elasticity\, and the individual and combined effects of material inhomo geneity and boundary/interface irregularities are analyzed.\n\nIn the mode lling stage\, traction-free boundary conditions are imposed at the free su rface\, and continuity of displacement and stress is enforced across the l ayer-half-space interface. This layered-medium model can be used to examin e how surface and interfacial irregularities appear in the wave field and how spatial variability in material parameters modifies this interaction.\ n\nThe governing equations are derived in nonlinear elasticity\, with mate rial nonlinearity in the constitutive relations. A systematic asymptotic p erturbation method yields a hierarchy of problems and shows that the slowl y varying amplitude satisfies the nonlinear Schrödinger (NLS) equation. T he resulting amplitude equation captures the influence of inhomogeneity an d irregular boundaries on the SH-wave field. Numerical solutions of the NL S equation are presented to illustrate amplitude evolution and modulation dynamics.\n\nShort Bio:\n\nTuğçe Sezer is a research assistant in the De partment of Mathematical Engineering at Istanbul Technical University\, wh ere she is currently pursuing her Ph.D. in Mathematical Engineering. She r eceived her B.Sc. in 2021 and M.Sc. in 2024 from Istanbul Technical Univer sity. Prior to her current position\, she worked as a research assistant i n the Department of Computer Engineering at Istanbul Nişantaşı Universi ty. Her previous research has included algebraic coding theory\, particula rly DNA codes over chain rings. Her current research focuses on wave theor y\, particularly wave propagation in linear and nonlinear media.\n LOCATION:https://researchseminars.org/talk/MathEngSeminars/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Selcen Sayıcı (Independent Researcher) DTSTART:20261111T113000Z DTEND:20261111T123000Z DTSTAMP:20261026T105419Z UID:MathEngSeminars/6 DESCRIPTION:Title: New Linear Codes via Restricted Evaluation Codes\nby Selcen Sa yıcı (Independent Researcher) as part of Istanbul Technical University M athematical Engineering Department Seminars\n\nLecture held in Fen-Edebiya t Fakültesi B1-326.\n\nAbstract\nGalindo et al. introduced a class of cod es which are obtained by evaluation of polynomials at the roots of a trace map. Via subfield subcodes\, this construction yields new linear codes\nw ith good parameters. Here\, we extend this construction to allow evaluatio n at the roots of any\npolynomial which splits in the field of evaluation. Our proof relies on Galois-closedness of codes in\nconsideration. Moreove r\, we introduce a lengthening process that preserves Galois-closed proper ty\nof restricted evaluation codes. Subfield subcodes of such lengthened c odes yield further good linear\ncodes. In total\, we obtain 17 linear code s over $\\mathbb{F}_4$ and $\\mathbb{F}_5$ which improve the best known li near code parameters. Moreover\, we give a construction for two linear cod es which have the best known parameters\, but for which no construction wa s known before.\n\nShort Bio:\n\nSelcen Sayıcı received her B.Sc. from I stanbul Bilgi University in Mathematics. Then\, she got her Ph.D. in Mathe matics\nfrom Sabancı University under supervision of Cem Güneri at Augus t 2020. She was postdoctoral fellow in Middle East Technical University\, in charge of Ferruh Özbudak between July 2021 and April 2023. Her researc h area includes coding theory\, curves over finite fields.\n LOCATION:https://researchseminars.org/talk/MathEngSeminars/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Ilmar Gahramanov (Boğaziçi University) DTSTART:20261125T113000Z DTEND:20261125T123000Z DTSTAMP:20261026T105419Z UID:MathEngSeminars/7 DESCRIPTION:by Ilmar Gahramanov (Boğaziçi University) as part of Istanbu l Technical University Mathematical Engineering Department Seminars\n\nLec ture held in Fen-Edebiyat Fakültesi B1-326.\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/MathEngSeminars/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Ali Demirci (Istanbul Technical University) DTSTART:20261202T113000Z DTEND:20261202T123000Z DTSTAMP:20261026T105419Z UID:MathEngSeminars/8 DESCRIPTION:by Ali Demirci (Istanbul Technical University) as part of Ista nbul Technical University Mathematical Engineering Department Seminars\n\n Lecture held in Fen-Edebiyat Fakültesi B1-326.\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/MathEngSeminars/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Ferruh İlhan (Turkish-German University) DTSTART:20261209T113000Z DTEND:20261209T123000Z DTSTAMP:20261026T105419Z UID:MathEngSeminars/9 DESCRIPTION:by Ferruh İlhan (Turkish-German University) as part of Istanb ul Technical University Mathematical Engineering Department Seminars\n\nLe cture held in Fen-Edebiyat Fakültesi B1-326.\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/MathEngSeminars/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Saliha Demirbüken (Gebze Technical University) DTSTART:20261216T113000Z DTEND:20261216T123000Z DTSTAMP:20261026T105419Z UID:MathEngSeminars/10 DESCRIPTION:by Saliha Demirbüken (Gebze Technical University) as part of Istanbul Technical University Mathematical Engineering Department Seminars \n\nLecture held in Fen-Edebiyat Fakültesi B1-326.\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/MathEngSeminars/10/ END:VEVENT BEGIN:VEVENT SUMMARY:Fatma Zürnacı Yetiş (Istanbul Technical University) DTSTART:20261223T113000Z DTEND:20261223T123000Z DTSTAMP:20261026T105419Z UID:MathEngSeminars/11 DESCRIPTION:by Fatma Zürnacı Yetiş (Istanbul Technical University) as p art of Istanbul Technical University Mathematical Engineering Department S eminars\n\nLecture held in Fen-Edebiyat Fakültesi B1-326.\nAbstract: TBA\ n LOCATION:https://researchseminars.org/talk/MathEngSeminars/11/ END:VEVENT BEGIN:VEVENT SUMMARY:Göksu Oruç (University of Ulm) DTSTART:20261230T113000Z DTEND:20261230T123000Z DTSTAMP:20261026T105419Z UID:MathEngSeminars/12 DESCRIPTION:by Göksu Oruç (University of Ulm) as part of Istanbul Techni cal University Mathematical Engineering Department Seminars\n\nLecture hel d in Fen-Edebiyat Fakültesi B1-326.\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/MathEngSeminars/12/ END:VEVENT END:VCALENDAR