6th INTERNATIONAL
SUMMER SCHOOL ON MATHEMATICAL FINANCE
A week-long advanced intensive course in modern mathematical finance delivered by renowned international and Russian experts
For senior and postgraduate students
AUGUST 22-29, 2025 KALUGA
Mathematics of Finance -
a set of mathematical methods applied to the modeling of financial markets
About the school
Key topic – Decentralized
Finance (DeFi)
A week of hardcore mathematics (lectures on DeFi, algorithms, cryptography) and live interaction with world-class specialists.
01
Mini-courses by authors of widely cited scientific papers and practitioners who create new financial services with their own hands.
02
In-depth analyses of complex topics – seminar leaders will help you grasp the details.
03
A chance to join the Vega scientific community (if you haven’t already).
04
Participants from all over Russia – networking on the level of “I will later say we studied together.”
05
06
Presentation of scientific results takes place in the format of concise, idea-rich talks. Participation is by invitation.
The school's program:
  • Decentralized Finance;
  • Cryptography: ZK proofs & FHE;
  • Distributed systems and consensus algorithms;
  • Hedging in incomplete markets;
  • Virtual machine and smart contracts;
  • Smart contracts and blockchain data;
  • Tropical mathematics.
School Lecturers
Masaaki Fukasawa
Osaka University
Japan
One of the leaders of the Japanese school of probability theory and stochastic analysis, an expert in stochastic volatility models.
Masaaki Fukasawa
Osaka University
Japan
One of the leaders of the Japanese school of probability theory and stochastic analysis, an expert in stochastic volatility models.
Agostino Capponi
Columbia University
USA
A researcher with a wide range of interests — from systemic risk and market microstructure models to decentralized finance and machine learning. In addition, Professor Capponi devotes much effort to consulting — his clients include major public and private financial institutions. At the school, he will speak about the microstructure of the decentralized market compared to the classical order book.
Agostino Capponi
Columbia University
США
A researcher with a wide range of interests, from systemic risk models and market microstructure to decentralized finance and machine learning. In addition, Professor Capponi devotes a lot of effort to consulting — among his clients are large public and private financial institutions.
Abdel Kenoufi
University of Strasbourg
France
A specialist in tropical mathematics. His work focuses on developing new approaches in theoretical physics and applied mathematics. Co-author of the book Tropical Mathematics and Applications to Theoretical Physics and Scientific Computing. Holds Master’s and PhD degrees from the University of Strasbourg. In his research, he combines abstract algebraic structures with applied problems in analysis and computation.
Abdel
Kenoufi
University
of Strasbourg
France
Specialist in the field of tropical mathematics. His work is aimed at developing new approaches in theoretical physics and applied mathematics. Co-author of the book Tropical Mathematics and Applications to Theoretical Physics and Scientific Computing. He received his Master's and PhD degrees from the University of Strasbourg. In his research, he combines abstract algebraic structures with applied problems of analysis and computation.
Yuri Yanovich
Skoltech
Russia
Lecturer at leading Moscow universities since 2017, author of over 100 research papers on blockchain, and head of the Moscow Blockchain Seminar. At the school, he will speak about blockchain network architecture and consensus algorithms
Yuri Yanovich
Skoltech
Russia
He has been a lecturer at leading Moscow universities since 2017, is the author of more than 100 scientific papers on blockchain, and also directs the Moscow Blockchain Seminar. He will tell the school about the structure of blockchain networks and consensus algorithms.
Rostislav Berezovsky
Vega Institute Foundation
Russia
Lecturer and head of the research group on optimal control in decentralized finance. At the school, he will discuss the structure of the DeFi market, models of key decentralized financial services, and recent published results in this field.
Rostislav Berezovsky
Vega Institute Foundation
Russia
Lecturer, head of the scientific group on optimal management in decentralized finance. During the school, he will talk about the DeFi market structure, the operating models of key decentralized financial services, and recent published results in this area.
Anatoly Krestenko
ITMO
Russia
He will give lectures on the Ethereum Virtual Machine and Solidity language, and conduct a practical session on developing smart contracts.
Anatoly Krestenko
Россия
He will give lectures on the Ethereum virtual machine and the Solidity language, and conduct a practical lesson on developing smart contracts.
ITMO
Andrey Seoyev
MEV-X
Russia
Developer and researcher in the field of on-chain trading and MEV. In his lecture, he will give an overview of MEV (Maximum Extractable Value): its definition, classification, and assessment; causes of MEV; methods of extracting and protecting against MEV; as well as the main stages, history, and prospects of MEV.
Andrey Seoyev
MEV-X
Россия
Developer and researcher in the field of blockchain trading and MEV. At the lecture, he will review the topic of MEV (Maximum Extractable Value): the definition, classification and evaluation of MEV, the causes of its occurrence, ways to extract MEV and protect against MEV, as well as the main stages of the history of MEV development and prospects.
Alexey Karasev
MIPT
Russia
In his lectures, he will provide a detailed explanation of zero-knowledge proofs (ZKP) and the STARK protocol, highlighting their importance for ensuring privacy and scalability in blockchain systems. Alexey will also explain the principles of fully homomorphic encryption (FHE) and its potential for creating secure computations in decentralized applications.
Alexey Karasev
MIPT
Russia
During the lectures, he will talk in detail about zero-knowledge proofs (ZKP) and the STARK protocol, revealing their importance for ensuring confidentiality and scalability of blockchain systems. Alexey will also explain the principles of fully homomorphic encryption (FHE) and its potential for creating secure computing in decentralized applications.
Dmitry Kramkov
Carnegie Mellon University
USA
Former Head of Research and Product Development at Tokyo-Mitsubishi International. An expert who combines industrial experience with a successful academic career. At the school, he will speak about hedging and option pricing in incomplete markets.
Dmitry
Kramkov
Carnegie Mellon University
USA
Formerly Head of Research and Product Development, Tokyo-Mitsubishi International. An expert combining industrial experience and a successful academic career. At school, he will talk about hedging and pricing options in incomplete markets.
SEMINAR LEADERS
Help you understand the most difficult material.
Daria Korobkina
I work in DeFi and am part of a research group that studies DeFi, so at the school I will help you understand what it is and how it works :) I try to live my best active life, so I attend music school and, in my spare time, try to study music theory.
Artur Sidorenko
I study stochastic analysis and optimal control. I love postmodern literature (Eco), the gym, and, of course, having engaging conversations with you.
Postgraduate student at the Faculty of Mechanics and Mathematics, Moscow State University
Anna Majdanik
I study in a joint specialization of the Faculty of Mechanics and Mathematics of Moscow State University and Vega, work in a research group on DeFi, and, outside of mathematics, spend my days drawing architecture and portraits, love literature and study languages.
Andrey Urusov
I will help you understand current issues in decentralized finance. A specialist with more than 7 years of experience in the financial sector, passionate about research in DeFi, including liquidity management and modeling processes in DEX pools.
Postgraduate student at the Faculty of Mechanics and Mathematics, Moscow State University
Student of the Faculty of Mechanics and Mathematics, Moscow State University
Postgraduate student at the Faculty of Applied Mathematics, Computer Science, and Information Technologies, Chuvash State University
Daria
Korobkina
I work at DeFi, I'm a member of the scientific group that deals with DeFi, so at school I'll help you figure out what it is and what it's eaten with:) I'm trying to live my best active life, so I go to music school and try to study music theory at my leisure.
Graduate of the MSU of MechMath
Anna Majdanik
I study at the joint specialization of the Moscow State University Faculty of Mechanics and Mathematics and Vega, I work in a DeFi research group, and if I don't do math, I spend my days painting architecture and portraits, I love literature and I study languages.
Student of the MSU of MechMath
Artur Sidorenko
I study stochastic analysis and optimal control. I love postmodern (Eco) creativity, the gym, and, of course, talking to you about juicy topics.
Graduate student of the MSU of MechMath
Andrey Urusov
I will help you understand the current issues of decentralized finance. A specialist with more than 7 years of experience in the financial sector, passionate about research in the field of DeFi, including liquidity management and process modeling in DEX pools.
Postgraduate student of FPMFiIT CSU
PARTICIPANTS' FEEDBACK
Participants of the schools in 2019–2024
My acquaintance with Vega began with participating in the summer school in Pushkin. I remember how I tried to understand all the mat...
The 5th International Vega Summer School gave me both a wealth of positive emotions from interacting with numer...
The Fourth International Summer School on Financial Mathematics from the Vega Institute Foundation divided my life...
The Vega Institute schools have become a special part of my life and have undoubtedly influenced it, allowing me to fully immerse...
Nina Badulina
MSU
Artyom Golenishchev
SFedU
Elizabeth Ivanova
RUDN University
Postgraduate student at the Faculty of Mechanics and Mathematics, Moscow State University
Konstantin Baltsat
ITMO
PARTICIPANTS' FEEDBACK
Participants of the schools in 2019–2024
My acquaintance with Vega began with participating in the summer school in Pushkin. I remember how I tried to understand all the mat...
The 5th International Vega Summer School gave me both a wealth of positive emotions from interacting with numer...
The Fourth International Summer School on Financial Mathematics from the Vega Institute Foundation divided my life...
The Vega Institute schools have become a special part of my life and have undoubtedly influenced it, allowing me to fully immerse...
Nina Badulina
MSU
Artyom Golenishchev
SFedU
Elizabeth Ivanova
RUDN University
Konstantin Baltsat
ITMO
My acquaintance with Vega began with participating in the summer school in Pushkin. I remember how I tried to understand all the material, staying up late at night to figure it out. At the next school, in Diyevo-Gorodishche, we already began to gather together, explaining to each other what we managed to understand.

Now for me, the Vega summer school is a great way to join the new academic year, communicate with highly motivated guys, adopt the experience of leading experts and learn something that may predetermine the direction of my development this year.
The 5th International Vega Summer School gave me both a wealth of positive emotions from interacting with numerous enthusiastic like-minded people and a substantial amount of new knowledge, which I am still processing and organizing in my mind to this day.

The lectures by renowned professors and the intense homework sessions were perfectly interspersed with engaging and active leisure.
I am very grateful to Vega for this unique event that allowed me to spend part of my summer vacation in such a meaningful way!
The Fourth International Summer School on Financial Mathematics from the Vega Institute Foundation divided my life into before and after. It was an experience that changed me not only as a student, but also as a person.

The guys and I constantly discussed mathematics, so knowledge flowed continuously and easily, and thanks to these conversations, many complex concepts became clearer and more accessible.

During the week of the summer school, many things became clearer and more understandable, so in the first year of the master's program, it was much more interesting for me to study and do science. Moreover, the knowledge I gained and further training on Vega courses during the academic year helped me find my place in the industry and get a job at a top company.

The organization of the school was impeccable: every lesson, every moment of the cultural program was carefully thought out. I was especially impressed by the environment - enthusiastic and incredibly smart guys, sincere and responsible curators, as well as talented lecturers - true masters of their craft, who skillfully and structuredly conveyed non-trivial material.

Every day was filled with warmth and attention to each of us. I am infinitely grateful to all the participants and organizers for their sincere smiles and the atmosphere that made this week unforgettable.
The Vega Institute schools have become a special part of my life and have undoubtedly influenced it, allowing me to fully immerse myself in the professional field of financial mathematics and see how it might fit me personally.

I first took part in the Summer School in Pushkin in 2022 and realized that I had entered an environment of peers and senior colleagues who were on a whole other level — and that I had a lot to learn. It was challenging and cognitively demanding.

Six months later, I attended the wonderful Black Sea School in Sirius in 2022 with my peers. This time, already familiar with the material and somewhat prepared, I managed to win 3rd place in the final Quantathon together with my team — and I became convinced that all the effort and preparation were absolutely worth it!
For whom
Undergraduate (from 4th year) and specialist students, master’s students, and postgraduate students in the following fields:
Mathematics
and related specialties
Information Technologies
and related disciplines
Physics
and related specialties
Economics majors
with an advanced mathematical background
Other disciplines with an advanced mathematical background, relevant work experience, and motivation
We expect from you
Knowledge of probability theory, random processes, optimal control methods, and group theory;
Understanding of the operation of the stock exchange and the structure of basic derivatives;
Ability to use Jupyter Notebook for Python and readiness to quickly learn to write code in Solidity.
Participation is
free of charge
The organizers pay for accommodation, meals, as well as a transfer from Moscow to the school venue
and back.
Accommodation, meals, and transportation from Moscow to the school venue and back are covered
SCHOOL LANGUAGES
Russian and English
Code of Ethics
All school participants must comply with the Funds's Code of Ethics.
Important
Participation in all educational activities of the school is mandatory.
School Language
School materials and some lectures will be in English.
Application Deadline
Assignment of the entrance assignment
End of application submission
End of application submission
Selection results
Start of the school
Preparation for the school (online)
Preparation for the entrance assignment (online)
Acceptance of the entrance assignment
from July 28 to August 1 inclusive
by 11:59 p.m. on August 1
by August 11 inclusive
August 22
from 12 to 18 August
from July 28 to August 2
by August 3 inclusive
Application Deadline
Assignment of the entrance assignment
End of application submission
Selection results
Start of the school
Preparation for the school (online)
Preparation for the entrance assignment (online)
Acceptance of the entrance assignment
from July 28 to August 1 inclusive
by 11:59 p.m. on August 1
by August 11 inclusive
August 22
from 12 to 18 August
from July 28 to August 2
by August 3 inclusive
HOW TO PARTICIPATE
Step 2
Fill out the registration form
Step 7
Get ready for the School
Step 1
Read the selection procedure
Step 6
Attend classes to prepare for the school program
Step 3
Step 4
Complete the entrance assignment
Step 5
Wait for the selection results
Attend open classes to prepare for selection
We evaluate applications in accordance with the Basic Conditions and Principles of selection.

The selection process is conducted remotely and consists of two parts:
1. Motivation assessment – up to 40 points
Recommended template for motivation letter

2. Technical skills assessment – up to 60 points
Learn more about the selection criteria.
The form can be filled out until August 1 inclusive.
During the classes, you will be able to refresh your knowledge and fill in the gaps in order to successfully write the entrance assignment.
The entrance assignment is assigned starting July 28.
You can submit your solution until August 3 inclusive.

Maximum score — 50.

*You can earn up to 10 additional points by attending classes to prepare for the entrance assignment.

The entrance assignment will include problems in probability theory and differential equations, group theory, and Python programming.
We will send the results by email up to and including August 11.
The classes are aimed at helping participants better understand the school materials.

Attendance is mandatory for participants who have passed the competitive selection for the school.
Get ready to spend the best week of this summer with “Vega”!
FAQ
Is attendance at all school lectures mandatory?
By becoming a participant of the school, you agree to mandatory attendance of the entire school curriculum.

Exemption from participation in any event is granted for valid reasons and discussed individually.

We reserve the right to exclude from the list of school participants anyone who violates the school rules.
The following rules apply during the school:

1. Participation in all educational activities, including preparatory classes for the school, lectures, and seminars, is mandatory. Absences are allowed only for valid reasons and must be agreed upon with the organizers. Participation in non-educational activities (entertainment, cultural) is optional, except for team-building events (for example, the welcome evening, school opening/closing ceremonies).

2. All participants must comply with the Fund’s Code of Ethics.

3. Violation of the rules may result in disciplinary action, including deprivation of the right to participate in the school without compensation for any expenses, damages, or losses arising from this (for example, exclusion from the school without reimbursement for the return ticket).
Will recorded lectures be available?
Video recordings of lectures will not be available. The school is held exclusively in an in-person format.
Can I become a seminarian at my next school?
We select seminar instructors from among the Fund’s scholarship recipients and participants who have actively demonstrated and established themselves in our projects.

Please write to info@vega-institute.org to express your interest in becoming a seminar instructor.
How can I become an ambassador of the Foundation?
We are very glad that you are with us! Becoming a Fund Ambassador is simple: write to us about your interest at info@vega-institute.org or on Telegram @thanks_PR.
HOW IT WAS
PAST SCHOOLS
5th International Summer
School — village of Emmaus
3rd International School
— Pushkin
2nd International Summer School — village of Krasnovidovo
August 23-30, 2024
August 23-30, 2023
4th International Summer School — village of Dievo-Gorodishche
August 21-28 , 2022
August 23-27, 2021
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If you still have questions about the school