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SUMMARY:Deniz Eroğlu (Imperial College London)
DTSTART:20261007T113000Z
DTEND:20261007T123000Z
DTSTAMP:20261026T012920Z
UID:MathEngSeminars/2
DESCRIPTION:Title: Network-Oriented Dynamics and Data Science: A Mathematical
View of Interacting Systems\nby Deniz Eroğlu (Imperial College London
) as part of Istanbul Technical University Mathematical Engineering Depart
ment Seminars\n\nLecture held in Fen-Edebiyat Fakültesi B1-326.\n\nAbstra
ct\nMany high-dimensional systems can be represented as networks of intera
cting dynamical units. Their observable behaviour often depends less on th
e individual components than on the collective organisation created by net
work topology\, heterogeneity and nonlinear coupling.\n\nThis talk will pr
ovide a broad overview of the mathematical research programme developed wi
thin the Network-Oriented Dynamics and Data Science group. Starting from d
eterministic and random dynamical systems\, I will discuss how interaction
structure shapes synchronisation\, stability\, emergence and bifurcations
\; how high-dimensional network problems can be reduced to analytically an
d computationally tractable descriptions\; and how governing dynamics and
interaction networks can be reconstructed from data. Particular attention
will be given to identifying loss of stability and critical transitions fr
om partial or noisy observations.\n\nExamples from neural and genetic netw
orks\, climate dynamics\, power grids and transport systems will illustrat
e the common mathematical questions behind these applications. Rather than
focusing on a single result\, the talk will trace the development of this
programme from the mathematical foundations of collective dynamics to dat
a-driven reconstruction\, model reduction and the detection of critical tr
ansitions.\n\nShort Bio:\n\nDeniz Eroğlu received his PhD in theoretical
physics from Humboldt University Berlin. Following postdoctoral research p
ositions in the Department of Mathematics at Imperial College London and a
t Northwestern University\, he joined Kadir Has University in 2019. He ret
urned to Imperial College London as a Research Fellow from 2024 to 2026\,
where he worked on random dynamical systems and their applications and con
tributed to teaching and doctoral supervision.\n\nHis research lies at the
intersection of dynamical systems\, complex networks and data-driven math
ematics. He leads the interdisciplinary Network-Oriented Dynamics and Data
Science group\, which studies collective behaviour\, network reconstructi
on\, mathematical reduction and critical transitions in biological\, physi
cal and engineered systems. His research has been supported by TÜBİTAK a
nd European Union programmes. He received the Science Academy’s 2021 You
ng Scientist Award in Physics and will join the University of Western Aust
ralia as a Senior Lecturer in 2027.\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nazlı Doğan (Fatih Sultan Mehmet Vakıf University)
DTSTART:20261014T120000Z
DTEND:20261014T130000Z
DTSTAMP:20261026T012920Z
UID:MathEngSeminars/3
DESCRIPTION:Title: Toeplitz Operators: From Hardy and Bergman Spaces to Köthe
Spaces\nby Nazlı Doğan (Fatih Sultan Mehmet Vakıf University) as p
art of Istanbul Technical University Mathematical Engineering Department S
eminars\n\nLecture held in Fen-Edebiyat Fakültesi B1-326.\n\nAbstract\nTo
eplitz operators constitute a classical and extensively studied class of o
perators arising\nnaturally in the theory of Hilbert spaces\, particularly
in the setting of Hardy and Bergman\nspace. Their classical theory begins
with Hardy spaces and extends naturally to Bergman\nspaces. In this talk\
, we first introduce Toeplitz operators on Hardy spaces and then examine t
heir definition and properties on Bergman spaces. We discuss compactness c
riteria for\nToeplitz operators in this setting and present some results o
btained jointly with Şahutoğlu. \n\nMore recently\, the study of Toeplit
z operators has been extended beyond the classical\nHilbert space setting
to broader classes of topological vector spaces. Jasiczak introduced\nand
characterized the class of Toeplitz operators on the Fréchet space of ent
ire functions. \nThis naturally leads us to consider Toeplitz operators on
Köthe spaces\, which provide a broader locally convex framework containi
ng important spaces of holomorphic functions.\nWe discuss their compactnes
s and investigate several of their dynamical properties\, including topolo
gizability\, power boundedness\, and mean ergodicity.\n\nShort Bio:\n\nAss
ist. Prof. Dr. Nazlı DOĞAN received her B.Sc. degree from the Department
of Mathematics at Istanbul University in 2011. She completed her M.Sc. st
udies in 2013 at the Department of Mathematics and Computer Science\, Ista
nbul Kültür University\, under the supervision of Prof. Dr. Mert ÇAĞLA
R\, and earned her Ph.D. degree in 2020 from the Department of Mathematica
l Engineering at Istanbul Technical University under the supervision of Pr
of. Dr. Kamil ORUÇOĞLU and Prof. Dr. Aydın AYTUNA.\n\nFrom 2015 to 2019
\, she worked as a research assistant at the Department of Mathematics\, I
stanbul Technical University. Between 2020 and 2022\, she served as an ass
istant professor at Nişantaşı University. Since 2022\, she has been an
assistant professor in the Department of Artificial Intelligence and Data
Engineering\, Faculty of Engineering\, Fatih Sultan Mehmet Vakıf Universi
ty. During 2023–2024\, she conducted postdoctoral research at the Univer
sity of Toledo with Prof. Dr. Sönmez ŞAHUTOĞLU under the TÜBİTAK 2219
International Postdoctoral Research Fellowship Program.\n\nHer research f
ocuses on the structural theory of Fréchet spaces\, operator theory on Fr
échet and Hilbert spaces\, particularly Hankel and Toeplitz operators\, a
nd problems at the intersection of functional analysis and several complex
variables.\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ahmet Göncü (Istanbul Technical University)
DTSTART:20261021T113000Z
DTEND:20261021T123000Z
DTSTAMP:20261026T012920Z
UID:MathEngSeminars/4
DESCRIPTION:Title: Real-Time Market Regime Identification in Borsa İstanbul:
Machine Learning versus Simple Trend Rules\nby Ahmet Göncü (Istanbul
Technical University) as part of Istanbul Technical University Mathematic
al Engineering Department Seminars\n\nLecture held in Fen-Edebiyat Fakült
esi 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 bia
s. Regimes are defined by peaks and troughs of the smoothed price series\,
with labels recomputed at each model update from past prices only. Machin
e-learning classifiers and a Markov-switching model are evaluated in a wal
k-forward design over a 20-year out-of-sample period (2006–2026)\, again
st buy-and-hold\, Turkish lira deposit rates and simple trend rules\, net
of transaction costs. A long-only regime filter matches buy-and-hold retur
ns with about 35% lower volatility and cuts the maximum drawdown from 64%
to about 25%\, although excess returns are not statistically significant.
Machine learning performs on par with a simple moving-average rule while t
rading less\, and long-short strategies and take-profit exits do not impro
ve performance. The results point to regime filters as a tool for improvin
g risk-adjusted performance: their lower volatility allows leveraged imple
mentation through index futures\, where the same risk budget translates in
to higher returns.\n\nShort Bio:\n\nAhmet Göncü is an Associate Professo
r of Finance in the Department of Management Engineering at Istanbul Techn
ical University. He received his PhD in Financial Mathematics from Florida
State University in 2009 and spent the 17 years working abroad\, includin
g 12 years in China at Shandong University and Xi'an Jiaotong-Liverpool Un
iversity\, where he supervised four PhD students to completion. His resear
ch covers quantitative finance\, asset pricing\, Monte Carlo simulations\,
risk management and algorithmic trading. He has published 36 articles in
international journals\, such as Quantitative Finance\, Annals of Operatio
ns Research\, International Review of Financial Analysis\, and is the auth
or of books on quantitative finance and portfolio management. Alongside hi
s academic work\, Dr. Göncü has advised hedge funds and designed algorit
hmic trading strategies for China's commodity futures markets. He still wo
rks on developing trading strategies and software solutions for fund manag
ement industry in Türkiye.\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tuğçe Sezer (Istanbul Technical University)
DTSTART:20261104T113000Z
DTEND:20261104T123000Z
DTSTAMP:20261026T012920Z
UID:MathEngSeminars/5
DESCRIPTION:by Tuğçe Sezer (Istanbul Technical University) as part of Is
tanbul Technical University Mathematical Engineering Department Seminars\n
\nLecture held in Fen-Edebiyat Fakültesi B1-326.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Selcen Sayıcı (Independent Researcher)
DTSTART:20261111T113000Z
DTEND:20261111T123000Z
DTSTAMP:20261026T012920Z
UID:MathEngSeminars/6
DESCRIPTION:Title: New Linear Codes via Restricted Evaluation Codes\nby Se
lcen Sayıcı (Independent Researcher) as part of Istanbul Technical Unive
rsity Mathematical Engineering Department Seminars\n\nLecture held in Fen-
Edebiyat Fakültesi B1-326.\n\nAbstract\nGalindo et al. introduced a class
of codes which are obtained by evaluation of polynomials at the roots of
a trace map. Via subfield subcodes\, this construction yields new linear c
odes\nwith good parameters. Here\, we extend this construction to allow ev
aluation at the roots of any\npolynomial which splits in the field of eval
uation. Our proof relies on Galois-closedness of codes in\nconsideration.
Moreover\, we introduce a lengthening process that preserves Galois-closed
property\nof restricted evaluation codes. Subfield subcodes of such lengt
hened codes yield further good linear\ncodes. In total\, we obtain 17 line
ar codes over $\\mathbb{F}_4$ and $\\mathbb{F}_5$ which improve the best k
nown linear code parameters. Moreover\, we give a construction for two lin
ear codes which have the best known parameters\, but for which no construc
tion was known before.\n\nShort Bio:\n\nSelcen Sayıcı received her B.Sc.
from Istanbul Bilgi University in Mathematics. Then\, she got her Ph.D. i
n Mathematics\nfrom Sabancı University under supervision of Cem Güneri a
t August 2020. She was postdoctoral fellow in Middle East Technical Univer
sity\, in charge of Ferruh Özbudak between July 2021 and April 2023. Her
research area includes coding theory\, curves over finite fields.\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ilmar Gahramanov (Boğaziçi University)
DTSTART:20261125T113000Z
DTEND:20261125T123000Z
DTSTAMP:20261026T012920Z
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://master.researchseminars.org/talk/MathEngSeminars/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ali Demirci (Istanbul Technical University)
DTSTART:20261202T113000Z
DTEND:20261202T123000Z
DTSTAMP:20261026T012920Z
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://master.researchseminars.org/talk/MathEngSeminars/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ferruh İlhan (Turkish-German University)
DTSTART:20261209T113000Z
DTEND:20261209T123000Z
DTSTAMP:20261026T012920Z
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://master.researchseminars.org/talk/MathEngSeminars/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Saliha Demirbüken (Gebze Technical University)
DTSTART:20261216T113000Z
DTEND:20261216T123000Z
DTSTAMP:20261026T012920Z
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://master.researchseminars.org/talk/MathEngSeminars/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fatma Zürnacı Yetiş (Istanbul Technical University)
DTSTART:20261223T113000Z
DTEND:20261223T123000Z
DTSTAMP:20261026T012920Z
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://master.researchseminars.org/talk/MathEngSeminars/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Göksu Oruç (University of Ulm)
DTSTART:20261230T113000Z
DTEND:20261230T123000Z
DTSTAMP:20261026T012920Z
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://master.researchseminars.org/talk/MathEngSeminars/12/
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