Preprints
2022
A Magnetic Pseudodifferential Calculus for Operator-Valued and Equivariant Operator-Valued Symbols
with Giuseppe De Nittis & Marcello Seri
pp. 1-137
arXiv:2210.05731
2020
On Choosing a Physically Meaningful Topological Classification for Non-Hermitian Systems and the Issue of Diagonalizability
pp. 1-41
arXiv:2010.09261
Books
2022
A Mathematical Journey Through Differential Equations of Physics
text book on ordinary and partial differential equations
ISBN: 978-981-122-537-6
World Scientific Publishing
2018
Macroscopic Limits of Quantum Systems: Munich, Germany, March 30–April 1, 2017
Editors: Daniela Cadamuro, Maximilian Duell, Wojciech Dybalski & Sergio Simonella
Taking Inspiration from Quantum-Light Analogies — Recent Results for Photonic Crystals
pp. 215-242
ISBN: 978-3-030-01601-2
Springer Proceedings in Mathematics & Statistics 270, Springer-Verlag
2017
Linear Response Theory — An Analytic-Algebraic Approach
with Giuseppe De Nittis
ISBN: 978-3-319-56731-0
Springer Briefs in Mathematical Physics 21, Springer-Verlag
(arxiv:1612.01710)
Accepted for publication
2022
A Calculus for Magnetic Pseudodifferential Super Operators
with Gihyun Lee
to appear in Journal of Mathematical Physics
pp. 1–80
Published articles
2020
Erratum: “Exponentially localized Wannier functions in periodic zero flux magnetic fields”
with Giuseppe De Nittis
Journal of Mathematical Physics 61, issue 11, pp. 112103
Symmetry Classification of Topological Photonic Crystals
with Giuseppe De Nittis
Advances in Theoretical and Mathematical Physics 23, number 6, pp. 1467–1531
(arxiv:1710.08104)
Equivalence of Electric, Magnetic and Electromagnetic Chern Numbers for Topological Photonic Crystals
with Giuseppe De Nittis
Journal of Mathematical Physics 61, issue 2, p.~022901
Selected as Editor's Pick for the issue
(arxiv:1806.07783)
2019
Topological Non-Hermitian Origin of Surface Electromagnetic and Acoustic Waves
with Konstantin Y. Bliokh, Daniel Leykam & Franco Nori
Optics and Photonic News, December 2019, p. 57
The Krein-Schrödinger Formalism of Bosonic BdG and Certain Classical Systems and Their Topological Classification
with Koji Sato
Physical Review B 100 No. 7, p. 075414
(arxiv:1903.06354)
Topological non-Hermitian origin of surface Maxwell waves
with Konstantin Y. Bliokh, Daniel Leykam & Franco Nori
Nature Communications 10, issue 1, article 580
(arxiv:1901.00346)
2018
Taking Inspiration from Quantum-Light Analogies — Recent Results for Photonic Crystals
to appear in Macroscopic Limits of Quantum Systems — Munich, Germany, March 20–April 1, 2017, Springer Proceedings in Mathematics and Statistics
(arxiv:1804.01234)
2017
The Schrödinger Formalism of Electromagnetism and Other Classical Waves — How to Make Quantum-Wave Analogies Rigorous
with Giuseppe De Nittis
Annals of Physics 396, pp. 579–617, 2018
(arxiv:1710.10148)
2015
Derivation of Ray Optics Equations in Photonic Crystals Via a Semiclassical Limit
with Giuseppe De Nittis
Annales Henri Poincaré 18, issue 5, pp. 1789–1831, 2017
(arxiv:1502.07235)
2014
On the Role of Symmetries in the Theory of Photonic Crystals
with Giuseppe De Nittis
Annals of Physics 350, pp. 568–587, 2014
(arxiv:1403.5984)
2013
Effective Light Dynamics in Perturbed Photonic Crystals
with Giuseppe De Nittis
Communications in Mathematical Physics 332, issue 1, pp. 221–260, 2014
(arxiv:1307.1642)
The Perturbed Maxwell Operator as Pseudodifferential Operator
with Giuseppe De Nittis
Documenta Mathematica 19, pp. 63–101, 2014
(arxiv:1302.1956)
Semiclassics for particles with spin via a Wigner-Weyl-type calculus
with Omri Gat and Stefan Teufel
Annales Henri Poincaré 15, no. 10, pp. 1967–1991, 2014
(arxiv:1307.8068)
Topological Polarization in Graphene-like Systems
with Giuseppe De Nittis
Journal of Physics A 46, no. 38, p. 385001, 2013
(arxiv:1304.7478)
Resonance phenomena in the interaction of a many-photon wave packet and a qubit
with Omri Gat and Stefan Teufel
Journal of Physics A 46, no. 31, p. 315301, 2013
(arxiv:1303.5256)
2012
Semi- and Non-relativistic Limit of the Dynamics with External Fields
with Martin L. R. Fürst
Annales Henri Poincaré 14, no. 5, pp. 1305–1347, 2013
(arxiv:1204.3489)
2011
Exponentially localized Wannier functions in zero-flux periodic magnetic fields
with Giuseppe De Nittis
Journal of Mathematical Physics 52, no. 11, p. 112103, 2011 (arxiv:1108.5651)
2010
Applications of Magnetic ΨDO Techniques to Space-adiabatic Perturbation Theory
with Giuseppe De Nittis
Reviews of Mathematical Physics 23, no. 3, pp. 233–260, 2011 (arXiv:1006.3103)
Magnetic twisted actions on general abelian C-algebras*
with Fabian Belmonte and Marius Măntoiu
Journal of Operator Theory 69, no. 1, pp. 33–58, 2013
(arXiv:1006.3221)
2009
Magnetic pseudodifferential operators with coefficients in C-algebras*
with Marius Măntoiu and Serge Richard
Publication RIMS Kyoto University 46, no. 4, pp. 755–788, 2010 (arXiv:0901.3704)
2008
Two-parameter Asymptotics in Magnetic Weyl Calculus
Journal of Mathematical Physics 51, p. 123519, 2010 (arxiv:0809.3199)
Theses
Semiclassical Dynamics and Magnetic Weyl Calculus
PhD thesis
thesis advisor: Herbert Spohn
Technische Universität München, Germany, submitted October 2010
A Dynamical Approach To Piezocurrents In Slowly Deformed Crystals
diploma thesis
thesis advisor: Herbert Spohn
submitted November 2005, Technische Universität München, Germany
Lecture Notes
Oscillatory Integrals and Pseudodifferential Operators
3rd-year course winter semester 2021/2022
Tohoku University, Sendai, Japan
Oscillatory Integrals and Pseudodifferential Operators
3rd-year course winter semester 2020/2021
Tohoku University, Sendai, Japan
Foundations of Quantum Mechanics
4th-year course winter semester 2014
University of Toronto, Canada
Differential Equations of Mathematical Physics
4th-year course academic year 2013/2014
University of Toronto, Canada
Weyl Quantization and Semiclassics
4th-year course winter semester 2009/2010
Technische Universität München, Germany