If you want to participate as a listener or give a talk then please inform us by writing an email to yaliyev@ada.edu.az
Refail Alizade "Coloring Method for Solving Mathematical Olympiad Problems"
Abstract: The coloring method is mostly used in solving mathematical Olympiad problems to prove that some operations or some situations are not impossible. Recently this method has been used in counting problems to eliminate some cases and thus speed up counting. We will discuss both applications of the method.
Short Bio
Professor Refail Alizade graduated from high school in Jabrayil, Azerbaijan. He holds BS, MS and PhD degrees in Mathematics from Lomonosov Moscow State University. He served as a Scientific Researcher and Math Professor at the following Universities and Research Centers:
• Institute of Mathematics and Mechanics of Azerbaijan Academy of Sciences (1986-1990),
• Baku State University, Faculty of Mechanics and Mathematics (1990-1993),
• Dokuz Eylul University (1994-2000),
• Izmir Institute of Technology (2001-2010)
• Yasar University (since 2010).
Professor Alizade is an author of lots of papers and textbooks on Homological Algebra, Module and Ring Theory, Abelian Groups and Olympiad Problems. He got one gold and two silver medals in Azerbaijan Mathematical Olympiads when he was a high school student. Professor Alizade is one of the educators of the Turkish Mathematics Olympiad team for the International Olympiads and was a team leader of Turkish team in some competitions. He has been running the column “Problems and Solutions” in the journal “Matematik Dünyası” since 2001 and gave numerous seminars and interviews in various universities and high schools for popularization of Mathematics.
Yagub Aliyev "Apollonius problem and Cayley’s centro-surface, Caustics"
Abstract: In the we will discuss the monumental result by Apollonius about the number of normal to an ellipse from a given point and then we will try to generalize it to 3 and higher dimensions. Cayley's centro-surface or Caustics of an Ellipsoid and many attempts to draw it, including two of ours using GeoGebra and Maple, will be discussed as well. The talk contains many colorful images.
About the speaker:
Yagub Aliyev is Assistant Professor at ADA University. His research interests include Sturm-Liouville theory, 3x+1 Problem, History of Mathematics, Number theory, Euclidean Geometry, Inequalities etc. He is also very interested in problem-solving activities. He encourages his students to solve hard problems published in problems column of various popular math journals and to participate in mathematical Olympiads.
Imran Talib: "Applicability of the Spectral methods for solving ordinary fractional derivative differential equations"
Abstract: Spectral methods are efficient, reliable and stable numerical tools to solve classical and fractional derivative differential equations. The framework of these methods is based on fractional-order derivative operational matrices or fractional-order integral operational matrices of orthogonal polynomials. Two important classes of spectral methods are: spectral Tau method and spectral collocation method. However, these methods have certain numerical difficulties in applying: in spectral tau method, the residual function must be expanded as a series of orthogonal polynomials and then the initial or boundary conditions are applied as constraints; whereas in spectral collocation method, the requirement of the choice of the suitable collocation points are necessary and fractional derivative differential equations (FDDEs) must be satisfied exactly at these points. So the prime objective of this talk is to present a numerical method that is independent of both; the choice of suitable collocation points and computing the residual functions. The proposed method can be named as, "Operational Matrices Approach" that is one of the variants of the Spectral methods. The proposed method is capable of reducing the FDDEs into the Sylvester type matrix equations that are easy to solve by using any computational software. The applicability and efficiency of the proposed method will be tested by solving various fractional order problems and then comparing the results obtained otherwise in the literature.
Short bio:
Dr. Imran Talib is a Lecturer at the Department of Mathematics, Virtual University of Pakistan. He completed his PhD in applied and computational mathematics from one of the prestigious institutions, University of Management and Technology, Lahore, Pakistan. His research interests include, Fractional calculus, Spectral Methods, Orthogonal Polynomials, Fixed Point Theory, Numerical solutions of Fractional ordinary and partial differential equations. He has published 22 research articles in international peer reviewed journals. He has supervised the research of seven MS students and co-supervising the research of two PhD’s students. Currently, he is working on the development of efficient numerical methods to solve fractional derivative differential equations.
https://eu.bbcollab.com/recording/18dd9fdca7df4e33b17e6ad7ea5fc4b8
Ruslan Muslumov: "Applying 19th-century Algebra to Ancient Problems of Geometry"
Abstract: The Greek mathematicians were fascinated by geometrical constructions. Using only an unmarked ruler and a pair of compasses, they bisected angles, trisected line segments, and constructed squares with the same area as a given polygon. But there were three types of construction that defeated them:
1. Doubling a cube,
2. Trisecting an angle,
3. Squaring the circle.
These problems all date from the 4th-century B.C., and throughout the next two millennia valid constructions were sought without success.
I will try to sketch how the 19th-century hapless French mathematician Galois work is the fundamental tool to be able to give the proper answer to these questions.
Short bio:
Since childhood I have always been energetic and eager to learn new mathematical ideas. I competed twice in the International Mathematic Olympiads and won bronze medals. I am also winner of the Science Olympiad of Azerbaijan Republic. I have a PhD degree in Mathematics from Boğaziçi University. My main research interest is the representation theory of finite groups, especially functorial methods in representation theory. Application of functorial methods in the algebraic number theory is also one of my area of interests. I am currently an assistant professor of mathematics in the School of Business at ADA university. My door is always open to anyone who wants to talk math.
Nicat Aliyev "Subspace method for the estimation of large-scale structured real stability radius"
Abstract: We consider the autonomous dynamical system x′ = Ax, with A ∈ R^{n×n}. This linear dynamical system is asymptotically stable if all of the eigenvalues of A lie in the open left-half of the complex plane. In this case, the matrix A is said to be Hurwitz stable or shortly a stable matrix. In practice, the stability of a system can be violated because of perturbations such as modeling errors. In such cases, one deals with the robust stability of the system rather than its stability. The system above is said to be robustly stable if the system, as well as all of its perturbations from a certain perturbation class, are stable. To measure the robustness of the system subject to perturbations, a quantity of interest is the stability radius or in other words the distance to instability. In this paper, we focus on the estimation of the structured real stability radius for large-scale systems. We propose a subspace framework to estimate the structured real stability radius and prove that our new method converges at a quadratic rate in theory. Our method benefits from a one-sided interpolatory model order reduction technique, in the sense that the left and the right subspaces are the same. The quadratic convergence of the method is due to the certain Hermite interpolation properties between the full and reduced problems. The proposed framework estimates the structured real stability radius for large-scale systems efficiently. The efficiency of the method is demonstrated on several numerical experiments.
Subspace method for the estimation of large-scale structured real stability radius (springer.com)
Short bio:
Dr. Nicat Aliyev is a research scientist at Czech Technical University and founder of Datalogue Consulting and Training.
He received his PhD in January 2018 at Koç University, Istanbul. During his PhD studies in 2017, he visited Max Planck Institute in Magdeburg for 6 months (joined to the research group of Prof. Peter Benner) and Berlin TU for one week as a visiting researcher.
After his PhD, he started to work as an assistant professor at Istanbul Zaim University. Then, he moved back to his home country Azerbaijan, and in 2019 started to work as a research scientist at Azerbaijan National Academy of Sciences, Institute of Mathematics and Mechanics in Baku, Azerbaijan. In September 2020, he worked as an assistant professor at University French-Azerbaijan. From January 2021 to December 2021, he worked as a postdoctoral research scientist at Charles University department of Numerical Mathematics. From January 2022 till now he works as a research scientist at Czech Technical University.
Carsten Trunk: "Chip-Redesign via Perturbations of Differential-Algebraic Equations"
Abstract: Electrical circuits are often described via differential algebraic equations: (Es − A)x = b, s ∈ C, where A and E are n×n-matrices and E is singular. It is the aim to increase the bandwith, i.e. to change the behaviour of the modulus of the transfer function along the imaginary axis by adding additional capacities to the electrical circuit. Adding a capacity corresponds to a rank one perturbation of the matrix E.
Short bio:
Dr. Casten Trunk is professor for Applied Functional Analysis at the University of Technology Ilmenau. His research interests include differential equations, spectral and perturbation theory. The University of Technology Ilmenau is highly specialized on electrical engineering and computer science and it is the only university of technology in the federal state of Thuringia. Carsten Trunk serves as a coordinator for the EU-projekt "Spectral Optimization: From Mathematics to Physics and Advanced Technology (SOMPATY)" which is a project funded by the European Uninion within the frame "Research and Innovation Staff Exchange MSCA-RISE-2019, Horizon 2020" with 7 partners from different countries (including Azerbaijan). Moreover he was the chair for the annual meeting of the "Gesellschaft für Angewandte Mathematik und Mechanik (GAMM)" in Weimar, Germany, 2017 with about 1,000 participants. He will also be the chair of the annual meeting of the German Mathematical Society in Ilmenau 2023.
https://eu.bbcollab.com/recording/8f40f522b8f44c77b5889a4e4500e618
This is a joint work with Oren Yerushalmi.
Giovanni Barbero: Analysis of the dielectric response of a hydrogel by means of the time-fractional approach to the electrochemical impedance.
An extension of the Poisson-Nernst Planck model in terms of fractional time derivative is proposed. A new form of the displacement current is derived. The model is tested on the experimental data obtained on cells containing hydrogels of hydroxyethylcelluose.
Giovanni Barbero currently is professor of Physics of Politecnico di Torino, member of the Italian Council of Research (CNR), and member of MEPhI University in Moscow. His main collaborations for Research are with Athens University (Kapodistryian University), Sao Paulo University (Brazil), Maringa University (Brazil), and Bucharest University.
https://eu.bbcollab.com/recording/81df2f1a5bba40c68cf66e73bd5f700c
Igor G. Tsarkov: "Mach disks and caustic reflections, caustics, application to astrophysics "
Abstract: An important part of a special set is caustic. Dynamically, the body of a certain shape seeks to change its shape to the caustic of this form (in the absence or disparaging small forces of interaction). This explains the evolution of Elliptical (ellipsoid-shaped) galaxies, as younger ones, to Spiral and to Spiral with a jumper (Spiral barred) galaxies. It also explains the existence of galaxies with a polar ring. In short, caustics is the law of evolution of forms. It should be noted that the idea of forms of galaxies as caustics, generated by gravitational waves, belongs to Ya. B. Zeldovich.
We will consider stable structures (the reflection caustics) in the dynamical process of reflection of waves, which, in our opinion, are nothing else than the well-known Mach disks (rhombuses, or diamonds). We construct models in which the medium internal velocity and/or its distribution inside the medium is allowed.
The reflection law underlying the construction of the corresponding models was put forward in paper ( I. G. Tsar'kov Smooth solutions of the eikonal equation and the behaviour of local minima of the distance function. Izv. Math. 2019.V. 83 (6). P. 1234—1258).
We will consider a domain whose boundary separates two media. In this case, a special position of boundary points generates excitation waves, which when passing through the domain have multiple reflections from its boundary inside this domain.
We will study the caustic of this process, i.e., the spot of matter compression inside the domain (usually, in the case of gases) or of pressure elevation (usually, for liquids).
We will give an algorithm for construction of such a set, which will be called the reflection caustic.
As examples of such sets, we mention the Mach disks, which appear in various natural phenomena:
plasma plumes of jet-propelled engines, jets of water downstream pipes or water taps, rock avalanches, and in many other natural and anthropogenic phenomena.
Igor. G. Tsar’kov is a professor of mathematics -
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia,
Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia.
His interests are in theory of approximations, smooth approximations, extension of maps and in theory of differential equations.
Academic degree: Doctor of Physical and Mathematical Sciences (1995). Academic title: Professor (2003).
https://eu.bbcollab.com/recording/62b85dff78a143d1917544ff1672c627
Different time: 13:00 Baku time
Vugar Musayev: "Lattice based Cryptography"
Abstract: Most public key cryptosystems are based on the difficulty of factoring large numbers and finding discrete logarithm in a finite group. Considering the post-quantum cryptography requirements, hard problems in the theory of lattices are promising for public key cryptosystems. The Shortest Vector Problem (SVP) and the Closest Vector Problem (CVP) will be discussed as the main hard problems for lattice-based cryptosystems.
https://eu.bbcollab.com/recording/8f45295d61c145adb59d4e2e30a73bd4
Virtual University of Pakistan, Pakistan
ADA University, Azerbaijan
Czech Technical University, Czechia
Yasar University, Türkiye
University of Auckland, New Zealand
Karamanoglu Mehmetbey University, Türkiye
University of Technology Ilmenau, Germany
Moscow State University, Russia
Technion - Israel Institute of Technology, Israel
University of Toronto, Canada
Politecnico di Milano, Italy
Kazakh-British Technical University, Kazakistan
University of Lethbridge, Canada
Nazarbayev University, Kazakistan
Federation University, Australia
Federation University, Australia
ADA University
ADA University
ADA University
ADA University
We are a university with four Schools. Our School of Public and International Affairs, School of Business, School of IT and Engineering, School of Education offer both graduate and undergraduate degrees.
Ours is a community of academic excellence, accountability, shared governance, honor, integrity, transparency, diversity, collaboration, communication and social responsibility that empowers individuals to challenge conventional thinking in pursuit of new ideas.