Gammalt

ANVÄNDBARA LÄNKAR

Vår Forskning

Den huvudsakliga inriktningen av forskningen på vår avdelning är Kvantfältteori och Strängteori. Målet med forskningen är att förbättra vår förståelse av hur olika kvantfältteorier och strängteorier fungerar. I framtiden kommer detta förhoppningsvis hjälpa oss att lösa många fundamentala problem i vår beskrivning av naturen, såsom en kvantmekanisk teori för gravitation och teorier för att beskriva starkt interagerande system. Nedan hittar ni en lista över ämnen som vår forskning behandlar med länkar till kortfattade beskrivningar, användbara referenser samt en lista över våra medarbetare som forskar i respektive ämne.

 

Gruppmedlemmar

Fakultet: Paolo di Vecchia (Nordita), Henrik Johansson, Oliver Schlotterer
Long-term researcher: Marco Chiodaroli
Post.Doc. Fellows: Francesco Alessio (Nordita), Sourav Sarkar, Ingrid Vazquez-Holm, Sam Wikeley
Doktorander: Maor Ben-Shahar, Lucile Cangemi, Lucia Garozzo, Carlos Gustavo Rodriguez Fernandez, Yoann Sohnle
Former group members:

 

Seminarier

Andra årets masterstudenter rekommenderas närvara vid våra Seminarier, där de kan höra om aktuell forskning i teoretisk fysik. Det drivs även en mer pedagogisk Journalklubb, där doktorander och post-docs möts och presenterar samt diskuterar klassiska artiklar och intressanta ämnen relaterade till vår forskning. Aktivt deltagande i journalklubben (dvs. att närvara samt presentera något ämne) kan vid behov räknas som en kurs.

Tidigare Medlemmar

Här hittar du en lista över alla tidigare medlemmar och långvariga besökare till vår avdelning.

Fakultet

Thomas Van Riet

***

Konstantin Zarembo

Giuseppe Dibitetto

Monica Guica

Andreas Gustafsson

**

Örjan Dammert

Paul Howe

*

Alexios Polychronakos

Poul Damgaard

*Gästprofessor vår 2005

**

Gästprofessor vår 2018

***

Gästprofessor höst 2020 och vår 2021

Forskarassistenter

Per Sundell

Thomas Klose

Post docs

Kays Haddad

Zhewei Yin

Max Guillen

Andrea Manenti

Martijn Hidding

Carlo Heissenberg

Vladimir Bashmakov

Bram Verbeek

Luca Cassia

Paul-Konstantin Oehlmann

Nicolò Piazzalunga

Rodolfo Panerai

Usman Naseer

Parijat Dey

Yong Zhang

Vladimir Procházka

Yongchao Lu

Marjorie Schillo

Emtinan Elkhidir

Arash Arabi Ardehali

Tobias Hansen

Adam Bzowski

Fei Teng

Antonio Pittelli

Gustav Mogull

Souvik Banerjee

Achilleas Passias

Aleksandr Popolitov

Luca Visinelli

Andrei Constantin

Fabrizio Nieri

Thales Azevedo

Gang Chen

Pietro Longhi

Yiwen Pan

Oluf Engelund

Rak-Kyeong Seong

Si Chen

Adam Sieradzan

Amit Dekel

Till Bargheer

Gabriele Tartaglino-Mazzucchelli

Susha Parameswaran

Amjad Ashoorioon

Andrey Krokhotin

Thomas van Riet

Manuela Kulaxizi

Diego Chialva

Thomas Klose

Egor Babaev

James Gregory

Josef Kluson

Madoka Nishimura

Laura Tamassia

Marcel Vonk

Lärarassistenter

Åsa Nordström

Doktorander

Paolo Pichini

Giulia Fardelli

Simon Ekhammar

Alexander Söderberg

Matthew Magill

Filippo Balli

**

Lorenzo Ruggeri

Robin Schneider

Rebecca Lodin

Konstantina Polydorou

Anastasios Gorantis

Suvendu Giri

Gregor Kälin

Alessandro Georgoudis

Erik Widén

Daniel Medina Rincon

Sergio Vargas Avila

Luigi Tizzano

Tianheng Wang

*

Xinyi Chen-Lin

Raul Pereira

Jacob Winding

Xubiao Peng

Johan Blåbäck

Shuang-Wei Hu

Malin Göteman

Kasper Larsen

Johan Källén

Martin Lundgren

Joel Ekstrand

Olof Ohlsson

Sergey Slizovskiy

Valentina Giangreco Marotta Puletti

Niklas Johansson

Magdalena Larfors

Luis Melo Dos Santos

Jonas (Persson) Kronander

Andreas Bredthauer

Daniel Domert

Kristel Torokoff

Martin Olsson

Johan Engquist

Martin Lübcke

Peter Rajan

Keizo Matsubara

Lisa Freyhult

Mikael Smedbäck

Fredric Kristiansson

Alexei Kotov

Egor Babaev

Alexei Sevostianov

Vadim Cheianov

Pär Stjernberg

Topi Kärki

*

 

Gästdoktorand vår 2018

**

 

Gästdoktorand 2021/2022

 

 

 

Maxim Zabzine

This is me at work.

Research Interests

Cool stuff with manifolds and geometry.

Current interests are

Teaching

I have taught the following three courses

Fysikens Matematiska Metoder

Mathematical Methods of Physics II

Geometrical Methods in Theoretical Physics

Physics

Information resources

News online

Books on-line

Contact

Maxim Zabzine
Department of Physics and Astronomy
Uppsala University
Box 516
SE-75120 Uppsala
Sweden

phone: +46(0)18 471 3247
fax: +46(0)18 471 5999
e-mail: maxim.zabzine@physics.uu.se

 

Fysikens Matematiska Metoder

Gamla tentamina

Här finns tentamina från tidigare år

Gamla inlämningsuppgifter

Användbara anteckningar och länkar

Fysikens matematiska metoder II

This is an upper level course in mathematical methods of physics. The course consists of 30 hours of lectures. At the end of the course there will be a 5 hour exam. In addition, there will be three homeworks in which you may turn in your solution, but this is voluntary.

The main topics covered in the course include the elements of functional analysis, some bits of abstract algebra and the group theory and finally the elements of topology and differential geometry. The different examples and applications from physics will be discussed through the course.

SPRING 2016

The course plan can be found here and the schedule can be consulted in the following link.

The following homeworks should be handed in:

The exam will be on the 22nd of March, from 9 am till 2 pm in the room Å4004. You can bring any notes and books to the exam. You are not allowed to use any electronic devices.

OLD EXAMS

  • Exam from March 2014
  • Exam from March 2013
  • Exam from March 2012
  • Exam from March 2011

OLD HOMEWORKS

  • Summary of functional analysis notes.pdf
  • The notes by Joseph Minahan from the previous years, notes.pdf
  • “Mathematical Methods in Quantum Mechanics”, by
    Gerald Teschl, homepage
  • “An Elementary Introduction to Groups and Representations”, by Brian C. Hall, notes

Geometriska metoder i teoretisk fysik

The course provides an introduction to geometrical and topological tools used in modern theoretical physics. The prerequisite for taking the course is basic knowledge in differential geometry and group theory. This course is intended for advanced MSc students and PhD-students. For the Master students the course code is 1FA153.

AUTUMN 2015

The course plan can be found here and the schedule can be consulted in the following link.

The following homeworks should be handed in by 5pm on the 15th of January 2016:

OLD HOMEWORKS

  • A. Hatcher, Algebraic Topology, Cambridge University Press, 2002. on-line version
  • P. B. Gilkey, Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem, on-line version
  • T. Eguchi, P. B. Gilkey and A. J. Hanson,
    “Gravitation, Gauge Theories And Differential Geometry”, Phys. Rept. 66 (1980) 213 (it can be downloaded only within the University), on-line version from Science Direct
  • The lecture notes on “Geometry of Vector Bundles and an Introduction to Gauge Theory”
  • The lecture notes by David A. Cox on the algebraic and toric geometry his homepage
  • The lectures by Matthias Blau on the application of Mathai-Quillen formalism with the discussion of supersymmetric quantum mechanics the link

 

Joseph Minahan

Address
Joseph Minahan
Department of Physics and Astronomy
Uppsala university
Box 516
SE-75120 Uppsala
Sweden

phone: +4618-471 3291
e-mail: joseph.minahan@physics.uu.se

Teaching

Lecture notes for various courses I have taught can be found here.

Research interests

My main research interests are in string theory and quantum field theory. Over the last several years I have been studying the AdS/CFT duality beyond the supergravity limit. More specifically, this research is centred on using integrability and localization to find exact results for supersymmetric theories.

Joseph Minahan's Lecture Notes

These are lecture notes for various courses I have taught over the years. Comments are always welcome.

“I hate writing, I love having written.”
-- Dorothy Parker

 

Henrik Johansson

 

Henrik Johansson
Department of Physics and Astronomy
Uppsala university, Box 516
SE-75120 Uppsala
Sweden

phone: +4618-471 3220
e-mail: henrik.johansson@physics.uu.se

RESEARCH

My research interests are in quantum field theory and supergravity, with a focus on formal aspects of scattering amplitudes in these theories. Scattering amplitudes can be used as a powerful tool to understand hidden symmetries and remarkable relations between different classes of theories. My work has led to the realization that a generic gravity theory can be formally understood as a product of two gauge theories.

KAW project – From Scattering Amplitudes to Gravitational Waves

This project will develop new methods for precise calculations at the forefront of theoretical physics, ranging from scattering processes in quantum field theory to gravitational wave emission, by using the Bern-Carrasco-Johansson (BCJ) double-copy framework, that connects gauge, gravity and string theories. The project will involve cooperation between the Division of Theoretical Physics at Uppsala University, and the Nordic Institute for Theoretical Physics (Nordita) that is located in Stockholm.

The project consists of five semi-independent parts:

  • Develop new methods for gauge, gravity and string theory scattering amplitudes
  • Simplify perturbative GR: potentials, black-hole mergers and gravitational waves
  • Advance integration techniques for loop amplitudes and classical gravity
  • Understand the origins of color-kinematics duality and the double copy
  • Extend the double copy to curved spaces

Background: In one of my papers from 2008, we introduce the notion of a duality between kinematical quantities (spacetime quantities) and color quantities (internal space quantities). In this framework gauge theories are organized as a specific product of two copies of Lie algebras, one for the color degrees of freedom and one for the kinematical degrees of freedom. Gravitational theories are analogously organized as a double copy of the kinematical Lie algebras. This is most transparent for S-matrix elements, where this powerful structure has been used for amplitude calculations up to the fifth loop order in certain supersymmetric gauge and gravity theories.

There is by now a growing list of theories where the duality and double-copy structures have been observed; it includes: pure (super-)Yang-Mills theories, pure (super)gravities, QCD and its supersymmetric extensions, Yang-Mills-Einstein (super)gravities, the nonlinear sigma model (NLSM), Born-Infeld theories and also string theory. Gauge and gravity theories are now more closely linked to each other than ever before, but even effective theories that have no gauge symmetry fit into the new picture. New connections to string theory have also emerged out of this structure: heterotic/closed string theories obey color-kinematics duality and open string theories are double copies of simpler objects.

When the LIGO experiment in September 2015 discovered the first gravitational waves from binary black holes—which awarded them the 2017 Nobel Prize in Physics—a new window for observations of the universe opened up. In order to fully utilize this new opportunity, both theoretical calculation methods and experiments are expected to undergo significant upgrades in the future. Recent initial studies have convincingly demonstrated that the BCJ double-copy method is able to reproduce low-order binary black-hole dynamics and associated gravitational-wave emissions at significantly reduced computational cost compared to standard methods, and as such it has the potential to revolutionize analytical calculations of gravitational waves.

TEACHING

Fysikens matematiska metoder QNV VT-15

Exam with Solution

The final exam will be on the 20th of March, 8:00-13:00 at Bergsbrunnagatan 15, Sal 1. You can bring Mathematics Handbook and Physics Handbook only.

Please, fill out the course evaluation at studentportalen

Course Description

Reading Instructions

Homework assignments (strictly voluntary)

  • Course page in studentportalen.
  • Vektoranalys. Kompendium, PDF, 12 569 kb.
  • The home page with the exams and homeworks from the previous years.

Teacher

Henrik Johansson, 018-4713243, henrik.johansson@physics.uu.se

Exercise classes

Luigi Tizzano, 018-4713248, luigi.tizzano@physics.uu.se

Exam with Solution

Final exam: 12th of October, 8:00-13:00, at Polacksbacken, Skrivsalen. You can bring Mathematics Handbook and Physics Handbook only.

Please, fill out the course evaluation at studentportalen. Thank you in advance!

Course Description and Instructions

HOMEWORK ASSIGNMENTS

  • Homework 1 to be handed in before 5 p.m., September 9.
  • Homework 2 to be handed in before 5 p.m., September 20.
  • Homework 3 to be handed in before 5 p.m., September 29.

TEACHERS

 

Fysikens matematiska metoder F VT-16

Exam with Solution

Final exam: 30th of May, 14:00-19:00, at Bergsbrunnagatan 15, Sal 1. You can bring Mathematics Handbook and Physics Handbook only.

Please, fill out the course evaluation at studentportalen

Course Description

Reading Instructions

HOMEWORK ASSIGNMENTS (STRICTLY VOLUNTARY)

TEACHER

Henrik Johansson, 018-4713243, henrik.johansson@physics.uu.se

EXERCISE CLASSES

A: Johan Nilsson, 070-1679333, johan.nilsson@physics.uu.se
B,C: Luigi Tizzano, 018-4713248, luigi.tizzano@physics.uu.se

Exam with Solution

Final exam: 18th of October, 8:00-13:00, at Bergsbrunnagatan 15, Sal 2. You can bring Mathematics Handbook and Physics Handbook only.

Please, fill out the course evaluation at studentportalen. Thank you in advance!

Course Description and Instructions

HOMEWORK ASSIGNMENTS

  • Homework 1 to be handed in before 5 p.m., September 12.
  • Homework 2 to be handed in before 5 p.m., September 21.
  • Homework 3 to be handed in before 5 p.m., October 3.

TEACHERS

Analytical Mechanics HT-19

Final Exam and Solution

Final exam: 25th of October, 8:00-13:00, at Fyrislundsgatan 80, Sal 1. You can bring Mathematics Handbook and Physics Handbook only.

Please fill out the course evaluation at Studentportalen. Thank you in advance!

Schedule

Course Description and Instructions

HOMEWORK ASSIGNMENTS

  • Homework 1 to be handed in before 5 p.m., September 16. Solution 1
  • Homework 2 to be handed in before 5 p.m., September 26. Solution 2
  • Homework 3 to be handed in before 5 p.m., October 16. Solution 3

TEACHERS

 

Analytical Mechanics HT-19

Final Exam and Solution

Final exam: 25th of October, 8:00-13:00, at Fyrislundsgatan 80, Sal 1. You can bring Mathematics Handbook and Physics Handbook only.

Please fill out the course evaluation at Studentportalen. Thank you in advance!

Schedule

Course Description and Instructions

HOMEWORK ASSIGNMENTS

  • Homework 1 to be handed in before 5 p.m., September 16. Solution 1
  • Homework 2 to be handed in before 5 p.m., September 26. Solution 2
  • Homework 3 to be handed in before 5 p.m., October 16. Solution 3

TEACHERS

Analytical Mechanics HT-18

Final Exam and Solution

Final exam: 19th of October, 8:00-13:00, at Polacksbacken, Skrivsalen. You can bring Mathematics Handbook and Physics Handbook only.

Please, fill out the course evaluation at studentportalen. Thank you in advance!

Schedule

Course Description and Instructions

HOMEWORK ASSIGNMENTS

  • Homework1 to be handed in before 5 p.m., September 18.
  • Homework 2 to be handed in before 5 p.m., September 25.
  • Homework 3 to be handed in before 5 p.m., October 10.

TEACHERS

 

Oliver Schlotterer

 

Oliver Schlotterer
Department of Physics and Astronomy
Uppsala university, Box 516
SE-75120 Uppsala
Sweden

e-mail: oliver.schlotterer@physics.uu.se

RESEARCH INTERESTS

My research is centered on the rich physical implications and mathematical structures of string scattering amplitudes. First, I am studying the point-particle limit and low-energy expansion of string amplitudes to reveal striking connections between gauge theories, gravity and effective field theories. Second, I am using string amplitudes as a mathematical laboratory for integration on Riemann surfaces of different genera. In this way, string theory greatly facilitates the construction and organization of iterated integrals and modular forms which find applications in particle physics and inspire new mathematical research in number theory and algebraic geometry.

ERC-StG PROJECT UNISCAMP 2019-2023

My research during the period January 2019 to December 2023 was funded through the ERC Starting- Grant project UNISCAMP – The unity of scattering amplitudes: gauge theory, gravity, strings and number theory. During this 60-month funding period, up to 5 simultaneous team members produced a total of 45 research papers including the following research highlights:

  • the long-sought-for explicit construction of polylogarithm functions on Riemann surfaces of arbitrary genus in arXiv:2306.08644
  • relating the modular graph forms in genus-one string amplitudes to equivariant iterated Eisenstein integrals in the algebraic-geometry literature arXiv:2209.06772
  • new synergies between conventional string theories and the more recent ambitwistor and chiral models, informing string interactions of infinitely many modes from field-theory methods
  • understanding and exposing the double-copy structure of gravitational amplitudes through a fusion of string-theory, field-theory and Lie-algebra methods

REVIEWS

My group coauthored three White Papers within the Snowmass community planning exercise:

Moreover, I recently published a comprehensive review together with C. Mafra, Tree-level amplitudes from the pure spinor superstring, Phys. Rept. 1020 (2023), arXiv:2210.14241. We review the supersymmetric computation of multiparticle tree-level amplitudes of massless superstring excitations as well as their interplay with the gravitational double copy and multiple zeta values.

REVIEW MATERIAL THAT YOU CANNOT FIND ON THE ARXIV

TEACHING

I am teaching a doublet of master courses on string theory from fall 2023 to spring 2024, the lecture notes including homework problems can be found in the following pdf.

Moreover, you can find the notes of Max Guillen's extra lectures on ‘‘Advanced Topics in String Theory’’ (March 2021) in the following pdf.

Dmytro Volin

Address
Dmytro Volin
Department of Physics and Astronomy
Uppsala university
Box 516
SE-75120 Uppsala
Sweden

phone:
e-mail: dmytro.volin@physics.uu.se

For the period 2018-2022, also holds a Nordic Assistant Professor position at Nordita, Stockholm

RESEARCH INTERESTS

I conduct research in mathematical physics, less conventional “physical mathematics” would be even a better wording. The research of past years was focused on the AdS/CFT integrability, quantum spectral curve, non-compact Young diagrams and Bethe equations, representation theory of supersymmetric algebras, and separation of variables.

TEACHING

Taught Statistical Physics I & II, and Advanced Classical Mechanics II in 2013-2018, at Trinity College Dublin (TCD). Also served as a TP course director in 2016-2018 at TCD.

TCD Provost's Teaching Award in 2018.

No ongoing teaching duties, until September 2020.

FUTURE PLANS AND OPPORTUNITIES FOR COLLABORATION

Until September 2020, I won't have teaching load save for potential supervision of projects and some short cycles of lectures. I plan to do research more intensively during this period and to address the following two directions. One strand is to link/contrast the AdS/CFT integrability with a rich world of quantum integrable systems, this would be strongly related to developing of representation theory of relevant quantum algebras, and hence this is a more mathematically-oriented research. The other more physical strand is to use (AdS/CFT) integrable systems as a tool in the computation challenges of quantum field theory, for instance in conformal bootstrap and scattering amplitudes.

To reach these goals, I am currently open for creation of new collaborations. Also, interested young researches (of postdoctoral, PhD, or undergraduate level) are welcome to contact me, we can discuss possible research/project/internship options.

At this moment, there are two related jobs:

  • A postdoctoral position at Nordita for 2019-2021 – already filled
  • A PhD position at Uppsala commencing in fall 2019: https://inspirehep.net/record/1718719 – application deadline is 01/03/2019

RECENT PUBLICATIONS

See inspirehep.net

Gordon Research Conference on String Theory and Cosmology 2017

Chair: Ulf Danielsson

Venue: Renaissance Tuscany Il Ciocco Lucca (Barga), Italy

Website: https://www.grc.org/programs.aspx?id=16939331

Kontakt

  • Programansvarig professor och avdelningsföreståndare
  • Maxim Zabzine

Senast uppdaterad:

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