The program will mostly consist of two tracks. The first track is for mathematicians and computer scientists and the second track is for physicists and astronomers. If no track is specified, the program will be with all participants. Please note that the program can change at all times. If you have any suggestions, feel free to send an email to us. The abstracts of the lectures will be shown on the abstracts page.

# Saturday, 30th of April

We will land at 17:15 in Copenhagen. In the evening the students can explore Copenhagen at their own will.

# Sunday, 1st of May

This day will have a cultural program, visiting the key historical and cultural sites of Copenhagen.

# Monday, 2nd of May

At Monday we will visit Copenhagen University, the oldest university and research institution of Denmark. It was founded in 1479, just two years after Uppsala University, making it the second oldest education institution in Scandinavia.

*Mathematics and Computer Science*

In the morning we will visit the Computer Science department of Copenhagen University. During our visit we will have three lectures from Yevgeny Seldin, Christian Igel and Sune Darkner. The main theme of the lectures is Machine Learning.

At first we will meet Yevgeny Seldin. Yevgeny Seldin is assistant professor at Copenhagen University and researches Machine Learning, Online Learning, PAC-Bayesian analysis, Reinforcement Learning, Information Theory and Statistics. His lecture will be about *Online Machine Learning*.

After that Christian Igel will speak to us. Christian Igel is professor and researches Machine Learning, in particularly support vector machines and other kernel-based methods, evolution strategies for single- and multi-objective optimization and reinforcement learning, and deep neural networks and stochastic neural networks. He will provide us with a lecture titled: *Machine Learning Meets Image Analysis: From looking inside ourselves to gazing at the stars*.

The last speaker of the morning will be Sune Darkner. Sune Darkner is assistant professor and researches Image Registration, Segmentation and Classification of Medical Image Data, where neuron-imaging data such as MRI and PET are his main focus. His lecture is about *Neuroanatomy and computer science*.

After the lunch the program will take place at the Mathematics Department of Copenhagen University. There Sho Tanimoto, Dustin Clausen and Jérémy Sok will provide three lectures.

Firstly Sho Tanimoto gives a lecture. Sho Tanimoto is postdoctoral researcher who received his Ph.D. from the New York University. His research interests lie in the field of algebraic and arithmetic geometry and Diophantine geometry in particular. Sho Tanimoto’s lecture will be *an introduction to Diophantine geometry, with problems as existence of rational points and it’s relation to projective geometry*.

Secondly Dustin Clausen will be present. Dustin Clausen is postdoctoral researcher who completed his PhD at MIT three years ago. Dustin Clausen mainly researches algebraic topology and number theory. His lecture will be about *the Hopf map*, which is a basic example of many phenomena in topology.

Jérémy Sok is the last speaker of the day. He is a postdoctoral researcher who received his PhD from the Université Paris-Dauphine. His research interests are non-linear analysis, variational methods and mathematical physics, especially relativistic quantum theory. His lecture will be *an introduction to mathematical physics*.

*Physics and Astronomy*

We will start of the morning with a lecture from Niels Ober. He will welcome us and tell us more about the research that is done at the Niels Bohr Institute, where he is the vice-institute leader of research. Furthermore he will talk about his own research which consists of *string theory, black holes and gravity correspondence.*

Afterwards, we will have lecture given by Martin Bizzaro or a member of his research group. Martin is specialized in Cosmochemistry and his research focuses on understanding the earlies evolution of our solar system through the use of high-precision isotope ratio measurements in extra-terrestrial materials. We will be getting a lecture about *Chemistry in the Universe*. We will have more physics and astrophysics related lectures this day.

David Rapetti will tell us more about *the Observational and Theoretical Cosmology*. Rapetti works at the university observatory of Munschen. He does research on dark energy and matter, observable mass and clustering of galaxies and clusters.

In the afternoon we will be welcomed by Jesper Nygård. He is specialized in nano-electronics and solid state physics. His work is based on advanced nano-fabrication, electrical measurements, and experiments at ultra low temperatures. Furthermore he is the co-founder of the Center for Quantum Devices of the Niels Bohr Institute.

# Tuesday, 3rd of May

On Tuesday we will travel from Copenhagen to Stockholm by train. While passing through Lund, we will visit the MAX IV laboratory. This laboratory is a particle accelerator that is a part of Lund University. The research at MAX IV is mostly based on high intensity and quality X-ray beams.

During the visit the group will be split in two. Both groups will get a tour through the lab. The tour of the mathematicians and computer scientists will pass through IT & Control and the tour of the physicists and astronomers will pass through ongoing experiments. During the tour there will be plenty of time to ask questions and start academical discussions.

*Mathematics and Computer Science*

The mathematicians will be greeted with two lectures. Mirjam Lindberg and Vincent Hardion will talk about the control software of the entire lab. Mirjam will also show us some live demonstrations. Galina Skripka will give us a lecture about the heavy duty simulation code she made for her experiment.

*Physics and Astronomy*

We will get a lab-tour in the MAX IV and will learn more about the type of research which is done here, but we will also learn more about the machine itself. Furthermore we will get a few lectures about the experiments in this lab and its results.

Henrik Hartman will tell us about his *measurements at the Synchrotron MAX IV lab*, which he uses the spectral lines, which are created, to compare them with the spectral lines we receive from outer space.

We will also get a lecture from Alexei Praobraje about *graphene*, which is material that consists of one layer of carbon atoms. It is also two hundred times less breakable than steel.

# Wednesday, 4th of May

At the third day of our scientific program we will visit the KTH Royal Institute of Technology, from now on called the KTH Institute. The KTH Institute, that is also a university, accounts for one-third of the technical research and engineering education capacity in Sweden at university level. The institute as a whole is highly respected worldwide, notably in the domains of natural and technology sciences.

*Mathematics and Computer Science*

The program in the morning will be focused on our computer scientists. At first we are greeted by Thomas Sjöland, currently head of the department Software and Computes Sciences. He will talk about the institute and provide us an insight in the research areas of the institute. After that Anders Västberg takes over, head of the Undergraduate Education department of KTH University. He will give a short talk about studying at the institute as a foreign student.

Then Christian Schulte provides us with a lecture. Christian Schulte is professor at the KTH institute and researches constraint programming, programming systems and distributed systems. His lecture is titled: *Constraint programming for fun: How to solve challenging optimization problems that matter!*

After Christians lecture we will visit the Electrum laboratory. This laboratory is committed to research on semiconductors and transistors. Per-Erik Hellström will receive us with an introduction to the laboratory, followed by a guided tour from Nils Nordell, head of the laboratory. The group will be split in two to make room for more interaction and questions.

In the afternoon the program will focus on dynamical systems viewed by mathematicians. There are at three lectures.

Firstly we will meet Kristian Bjerklöv, a docent at the KTH Institute. His main research interests are in smooth dynamical systems. He will provide us with a lecture on *dynamics of quasi-periodically driven systems*. If an irrational rotation on the circle is used to drive another dynamical system many surprising things can occur. He will give examples of such coupled systems and present results about their dynamics. These differential equations also arise when analyzing differential equations with quasi-periodic coefficients like the quasi-periodic Schrödinger equation that has for example been studied by recent Fields medalist Artur Avilla.

Secondly Maria Saprykina will give a talk. Maria Saprykina is a university lecturer and docent. Her talk will be titled: *What behaviour can one expect in a system of interacting pendulums?*. She will mainly concern KAM-theory and Arnold diffusion.

The last lecturer is Danijela Damjanovic. Danijela Damjanovic is an assistant professor at the KTH Institute and her lecture is titled: *Dynamical systems with mutidimensional time*.

*Physics and Astronomy*

We will start with a lecture from Egor Babaev about *Superfluids*. Babaev has received the Göran Gustafsson Prize in Physics from the Royal Swedish Academy of Sciences in 2015 for his work on condensed matter. He also proposed that there is a type of superconductor that didn’t fall inside of the traditional classification of superconductors.

This lecture will be followed by Mats Wallin who will give a lecture about *Phase Transitioning in Classical and Quantum mechanics*. He is professor of theoretical physics and also teaches quantum physics at the KTH Royal Institute of Technology.

In the afternoon the (astro)physics group will get a lecture from Val Zwiller. Val did research in the field of nano-structures at single photon scale at the Technical University of Delft. She will also give us a lab-tour in her research lab. The lecture will be about: *Quantum Optics at nano-scale.* More lectures will follow.

Afterwards we will get a lecture from Oscar Larson about *Particle Astrophysics*. Larson is part of the research group of ESA astronaut Christer Fuglesang. He has taken a leading role in KTH’s space activities. His research includes radiation on space stations, as well as particle physics.

## Afternoon

We plan to have an arrangement with a local study association, which will enable us to meet the local students.

# Thursday, 5th of May

This day the student will visit the Uppsala University. This university is the oldest university in all the Nordic countries, including Denmark, Sweden, Norway, Finland and Iceland. Many Swedish academical cultures originate from Uppsala, such as the white student cap and the first Swedish woman with an academical degree graduated at Uppsala University.

*Mathematics and Computer Science*

There is two lectures on Thursday.

The first is from Maciej Klimek. Maciej Klimek is a professor at Uppsala University and researches mostly multidimensional complex analysis, series analysis and financial mathematics. He will present a lecture titled *what is financial mathematics?*.

The second one is from Takis Konstantopoulos. Takis Konstantopoulos is professor at Uppsala University. His lecture is titled: *Brownian motion and limit theorems in probability theory*.

From there we will visit the lectures of physics and astronomy. The lectures will be given by Andreas Korn and Olle Björneholm.

*Physics and Astronomy*

In the morning will Ilka Engelhardt tell us about her research in the field of *Plasma’s and Dust around Icy Moons and Comets.* Ilka has studied Astrophysics and Physics in Leiden and is currently doing her PhD at Uppsala University.

After a short break we will visit Ernst van Groningen. He studied in Leiden and is now Program Director of the *International Science Program*. This organization aims at assisting developing countries to strengthen their domestic research capacity within science. ISP focuses on least developed countries.

In the afternoon we will get a lecture from Andreas Korn. Korn will tell us more about *The Chemical Revolution of the Cosmos*. In Gaia’s Coordination Unit 8 he coordinates the computation of synthetic stellar spectra and works on improving the level of realism in the modeling of solar-type stars. This has as goal the construction of self-consistent hydrodynamic model atmospheres.

Afterwards we will receive a lecture from Olle Björneholm. His talk is titled *From molecules to rain*. Björneholm leads the Division of Molecular and Condensed Matter Physics at the Department of Physics and Astronomy. Here they conduct research on light–matter interactions at the atomic level. The acquired knowledge of the electronic properties is used to develop important applications within energy and environmental science, as well as new functional materials.

## Free afternoon

In the late afternoon, at around 15:00, there will be no program to let students discover the beautiful city of Uppsala.

## Afternoon

We plan to have an arrangement with a local study association in order to meet the local students.

# Friday, 6th of May

The last day of the academical program will concern a Swedish company and the Univeristy of Stockholm. The University of Stockholm is one of the largest universities in Scandinavia. The first lectures started in 1878 and one notable historical fact is that Sofia Kvalevskaya was appointed a chair in the mathematics department in 1889, to be the third female professor in Europe. The University of Stockholm was granted its university status in 1960, making it the fourth oldest Swedish university.

*Mathematics and Computer Science*

In the morning this group will visit a Swedish company that concerns computer scientists. There is no confirmation from a Swedish company yet. We want to visit a corporation such as Spotify, Mohjang, Skype, IKEA, Scania or something else. If you have contacts within a Swedish company, please contact us.

In the afternoon we will have lectures at Stockholm University. Mia Deijfen, Pieter Trapman and Mathias Lindholm from the Mathematics Department will receive us.

Mia Deijfen is a professor in mathematical statistics at Stockholm University. She is also the director of graduate studies in mathematical statistics. Her research area is discrete probability theory, with emphasis on spatial structures and random graphs. Her lecture will mainly focus spatial structures or random graphs.

Pieter Trapman is currently university docent at Stockholm University and also provided us with a lecture the last time we visited Stockholm. Due to the success of his lecture, we would like to hear from him again.

Mathias Lindholm is the last speaker of he whole trip. He researches applied probability theory and teaches life insurance mathematics. His lecture is titled *an overview of mathematical techniques in insurance*.

*Physics and Astronomy*

First we will start with a talk from Alexis Brandeker about *The Ninth Planet. *Brandeker will tell us about the possibility of an yet unknown ninth planet which might be in our solar system.

In the afternoon we will visit Marcus Dahlström at Stockholm University. His research interests in Strong-field Laser Physics and Optics and Non-linear X-ray processes in Matter. The lecture will be about *Attosecond Laser Physics*, which is about very short laser pulses. One Attosecond is equal to 10^-18 seconds.

Furthermore, Nathalie de Ruette and Anders Källberg will give us a lecture and a lab-tour at the DESIREE facility. This facility consist of ion storage rings with one common ion-beams merging section. Here research is done in the field of interactions between atoms, molecules and/or clusters of ions.

Also we will get a lecture from Chad Finley about his research with *IceCube*. IceCube is a Neutrino detector at the South Pole. Neutrino’s which are produced at violent astronomical events like exploding stars are researched.

# Saturday, 7th of May

Cultural program and the flight home.