Institute of Electronics and Mathematics

Since its founding in 1962, MIEM has been one of the leading Russian technical universities conducting top-level research in applied mathematics, physics, electronics, IT and robotics.

Internships are offered in the following areas:

#1. Laboratory "Quantum Potonic Integrated Circuits"

 Possible supervisors for research interns: Professors G. N. Goltsman and A. A. Korneev

Although the quantum optics research was for long performed in free space and involved the use of cumbersome equipment, it is now absolutely clear that going over to full-scale applications and getting “quantum supremacy” are not possible without an integrated circuit on chip housing hundreds or thousands of components. This quantum photonic integrated circuit (QPIC) will have three fundamental blocks: a block of single-photon emitters, a logic block, and a block of single-photon detectors.

In order to facilitate the implementation of the QPIC scalable technology we will conduct a series of fundamental and applied research including the research of multi-photon processes detecting in superconducting single-photon detectors and non-linear properties of waveguide materials. We are going to come up with a technology of controlled positioning of nano-components on the QPIC and packaging of QPICs and instruments with a QPIC core. As a result, we are going to obtain both fundamental knowledge concerning interaction of semiconducting and superconducting nano-wire components with near infrared photons and new applications which might be made marketable over a short term.

The authors of the project are the inventors of a breakthrough technology of superconducting nano-wire single-photon detecting which has no alternative for creation of QPIC, and acknowledged experts in nanophotonics and integrated optics with publications in high-impact journals (Nature Photonics, Nature Communications, Physical Review Letters, Nano Letters, Optics Express, Applied Physics Letters, and some others). They have experience in creating new successful laboratories, training competent personnel, and setting up efficient commercial enterprises (Scontel Limited Company and Tinfotonics Limited Company), whose quantum optics products are in high demand in the global high-tech market. Such a combination of fundamental and applied research is unique. Successful realisation of this research, and creation of a scalable straight-through processing QPIC technology is an interesting and important task.

#2. Laboratory of Telecommunication Systems

The focus of the Laboratory is on theoretical and experimental studies in the field of Telecommunication systems, including such areas of research as coding/communication theory, network protocols, optical and wireless information transmission, cryptography and information security. Our research team has rich experience in the following topics: LDPC codes, convolutional codes, multiple access channels, algebraic codes.

Possible supervisors for research interns: Prof. Eugenii Krouk, Ass.Prof. Alexey Kreschuk, Pavel Rybin, Fedor Ivanov

Example projects include:

• Locally recoverable codes.

This theme is related to designing and theoretical and practical (applying simulation analysis) investigation of codes with local properties. This property means that in order to recover one symbol only a few number of other symbols are required. This is important in such practical fields as distributed databases, cloud computing and disk arrays in data storages.

• Light-weight cryptography based on McEliece cryptosystem

This theme is devoted to a problem of secured data transmission for low-power devices such as RFID (Radio Frequency IDentification) tags or some other devices for Internet of Things (IoT) for which low power consumption plays significant role. In fact, the privacy aspect involved with technology of RFID and IoT could become a major issue in the perspective of a global adoption. We will consider McEliece cryptosystems as a major security element of small and low-power devices.

• Multiple access systems based on Product codes

At present one of the most important features of the wireless networks evolution process is a sharp increase of the number of active users in the system due to the development of IoT (Internet of Things) and Smart House concepts. In this case the level of the mutual interference becomes extremely high. At the same time, the requirements on the data rate and the probability of successful transmission become more strict. In this project we will consider an issues of designing and theoretical/practical evaluation of the systems for multiple access that allow a large number of users/devices to work simultaneously in one communication channel.

#3. Laboratory for Modeling and Design of Electronic Components and Devices

Possible supervisors for research interns: Prof. Konstantin Petrosyants, Prof. Igor Kharitonov, Assoc. Prof. Lev Sambursky

Areas of interest and possible projects:

• Modeling and design of radiation- and temperature-resistant electronic components, including development of process&device (TCAD) and electrical compact (SPICE) models and methods for extraction of their parameters for bipolar, MOSFETs, BiCMOS, IGBT, SiGe, etc., transistors of various power
• Methods and means of measuring the properties of materials and devices in electronics and photonics

#4. International Laboratory for Supercomputer Atomistic Modelling and Multi-scale Analysis

The research agenda of the Laboratory is based on three pillars:

• Development of new mathematical methods and algorithms for atomistic-based multiscale modelling and simulation.
• Implementation of these methods using novel supercomputer technologies.
• Using these tools to solve actual interdisciplinary scientific and technological problems: water-based biomolecular systems; minerals, clays and cements; gas hydrates; filtration processes in porous media; glassy and amorphous states; polymer materials; radiation damage of materials etc.

Possible project themes and supervisors:

• Molecular dynamics simulations of biomembranes (Prof. Roman Efremov)
• Rheological properties of hydrocarbons from atomistic models (Prof. Vasily Pisarev)
• Parallel graph pattern mining algorithms for anti-money laundering (Prof. Alexander Semenov)
• Properties of ice from GPU-accelerated molecular dynamics (Prof. Vladimir Stegailov)
• Particle simulation methods for complex plasmas (Prof. Alexei Timofeev)

#5. Research group “Statistical Mechanics of Complex Systems”

The focus of the research group is on:

• theoretical and computational studies of collective phenomena in many-body systems
• development of algorithms for numerical simulation and modeling of emergent behavior in many-body and multi-agent systems
• applying ideas and methods of computational physics in other research fields

Possible supervisors for research interns: Professors Lev Shchur, Evgeni Burovski.

Example projects include:

• Aging of spin clusters. Prof. Lev Shchur

The dynamics of the spin systems driven by the cluster algorithms (eg., Swenden-Wang algorithm or Wolff single-flip algorithm) different from those of the local algorithms (eg., Metropolis algorithm or heat-bath algorithm). One can expect that the aging will be different  in the two cases, and it is instructive to look for the phenomena of the aging of the cluster as the whole.

• Network simulation using PDES. Prof. Lev Shchur

Parallel discrete event simulation (PDES) is a powerfull tool for the large-scale simulations. THe available ROSS simulator can be used on the HSE supercomputing facilities for the simulation of the network efficiency. The number of the network configuration planned for the investigation.

• Superconductivity of disordered fermions. Evgeni Burovski

This project is devoted to studying the interplay of disorder and interactions in many-body fermionic systems. We will use diagrammatic Monte Carlo simulations to study the effect of diagonal (and possibly off-diagonal) disorder on the transition to the superfluid phase in the unitary quantum gas, and make contact with current experiments with ultracold atoms.

• Low-dimensional quantum fluids. Evgeni Burovski

Quantum effects are enhanced by low dimensions. This project involves large-scale numerical simulations of spinful fermionic fluids in quasi-one-dimensional geometries using matrix product states.

• Open source development of data science fundamentals. Evgeni Burovski

This project involves developing and implementing state-of-the-art numerical algorithms (e.g. linear algebra), using Python, Cython and C++ programming languages, and sending pull requests to foundational libraries of the PyData/SciPy ecosystem of open source software.

#6. Laboratory of  IP-based Real Time Video Production

Possible supervisors: Prof. Denis Korolev, Ph.D. St. Pyetr Rybakov

Possible project themes:

• Television equipment for RTSP thin-stream video, remote linear video editing, monitoring, streaming and recording. 
• Online services and hardware solutions for automation of camera and editor’s work. Full-auto multi-camera video production including AI human tracking and camera switching.
• Video stream and signal monitoring, automation of expo/chroma correction for multicamera systems, flow control, etc.
• Lecture captire systems, integration to information environment of the university.

#7. Learning Tools and Digital Footprint System For Students

Possible supervisor for research interns: Prof. Sergey Slastnikov

Infrastructure for individualization of higher education; digital fingertip and digital portfolio. LTI and EdX ExternalGrader automatic grading tools for teacherless teaching and grading.

Keywords:

• big data storing and processing
• software architecture
• big data analytics
• digital portfolio and CV

#8. Internet technologies and services Lab

Possible supervisor: Ass. Prof. A. Ovchinikov

Possible project theme: "Object oriented design patterns for common situations"

Nowadays many of popular software frameworks and libraries tend to be called object-oriented, but their design most of the time violates one of the basic OOP principle - encapsulation. This prevents creating maintainable and testable applications.

The main objective of the work is development of new "true" object-oriented patterns for some common situations and demonstrate their use with simple application examples.

Such common tasks are:

•  GUI;
•  Web-UI;
•  File I/O;
•  Access to remote network resources;
•  Async operations.

Requirements for applicants:

•  practical experience in software development
•  practical experience with any object-oriented programming language (Java is preferable)
•  knowledge of UML

#9. The laboratory of 3D Imaging and Computer Graphics     

Possible supervisor: Alexey Rolich, Head of Laboratory

The laboratory conducts a wide range of research and design work in the field of virtual, augmented, mixed realities (VAMR), Internet of things, sensor technologies and 3D printing.