© 2005 - N M Romão
Nuno
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Nuno M. Romão


e-mail: Nuno's e-mail

 
welcome
 
Aarhus Universitet
Welcome to my personal homepage. I am a researcher at the Hausdorff Research Institute for Mathematics in Bonn, Germany. My research in mathematical physics has mainly been concerned with objects called topological solitons, which I am sometimes challenged to explain to non-experts. I come originally from Portugal and hold a PhD from the University of Cambridge, UK. You can read below about my education and previous employment, as well as about several of the things I have been up to. My contact details are listed at the end.

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Skis
education and employment
 
 
I studied at Instituto Superior Técnico, Lisbon and graduated in Engineering Physics in 1997; this included spending one semester (1996) at Hanover as an ERASMUS student. In 1997/98, I moved to Cambridge to do Part III of the Mathematical Tripos at DPMMS and stayed on to do a PhD at DAMTP, which I completed in 2002. In Cambridge, I was a member of Queens' College. My thesis supervisor was Prof. Nicholas S. Manton, FRS; you can check out my rather distinguished mathematical genealogy here.

I worked as a post-doc at the Max Planck Institute for Mathematics in the Sciences in Leipzig during 2002/03, and then moved to the Max Planck Institute of Mathematics in Bonn. In April 2004, I joined the School of Pure Mathematics at the University of Adelaide to work as an ARC Research Associate (with Prof. Michael Murray). I spent 2006/07 as a Visiting Scholar in Pure Mathematics at MIT, Boston. From August 2007 to July 2009, I was a Post-Doc at CTQM (Center for the Topology and Quantization of Moduli Spaces), Aarhus University; I have also been more or less officially associated to CTQM's new avatar QGM (Centre for Quantum Geometry of Moduli Spaces). From August 2009 to November 2010, I was a Marie Curie Fellow at the Institute of Mathematics of the Jagiellonian University in Cracow, and then worked for the Department of Algebra and Geometry of the University of Barcelona during the first half of 2011.

Since October 2011, I have been back in Bonn to work at the Max Planck Institute for Mathematics and at the Hausdorff Center for Mathematics, which supports the Cluster of Excellence in mathematical sciences at the University of Bonn. From September to December 2012, I was the leader of the group "Geometry of Gauged Vortices" in the Junior Hausdorff Trimester Program "Mathematical Physics" at the Hausdorff Research Institute for Mathematics.

teaching
 
 
As a student, I was an Undergraduate Teaching Assistant at IST (Department of Mathematics), and also gave supervisions for several courses of the Mathematical Tripos at Cambridge; in 2000/01, I was awarded a Munro scholarship from Queens' College for my teaching performance.
In January 2006, I gave a course on Algebraic Curves (joint with Emma Carberry) at the ICE-EM/AMSI Summer School held at RMIT, Melbourne; some material for my lectures can be downloaded here.
I volunteered to lecture Mathematics 1A for the School of Mathematical Sciences at Adelaide in Semester 1 of 2006.
In the Spring Term of 2008, I taught the PhD course Geometric Quantum Field Theory at CTQM, which provided an introduction to the methods of QFT and some of their applications in geometry and topology, tailored to a mathematical audience; click here to access the course webpage at AULA. At Aarhus, I also taught Matematik-Laboratoriet on several first-year courses.
In the Second Semester of 2009/10, I taught the course Symplectic Geometry for MSc and PhD students of Mathematics and Physics at the Jagiellonian University.

seminars/workshop
 
 
In the 1st Semester of 2012/13, I ran a Vortex Seminar and co-organised a Trimester Seminar as part of the JHTP "Mathematical Physics" at the Hausdorff Research Institute for Mathematics (HIM), University of Bonn.
I also organised the workshop Geometry of the Vortex Equations at HIM from the 27th to the 30th of November 2012.

In 2009/10 I started up a Mathematical Physics Seminar at the Jagiellonian University. I also co-organised the conference "Geometry and Physics in Cracow", which took place at UJ from the 21st to the 25th of September 2010.

research interests
 
 

  • Topological solitons in gauge theories (in particular monopoles and vortices): their moduli spaces, dynamics, supersymmetric extensions and approaches to quantisation.
  • Aspects of differential, symplectic and algebraic geometry in mathematical physics: Kähler geometry, geometric quantisation, integrable systems, localisation phenomena, geometric phases.
collaborators
 
 
Indranil Biswas, Tata Institute of Advanced Research, Mumbai, India
Marcel Bökstedt, Aarhus University, Denmark
Mike Eastwood, University of Adelaide, Australia
Conor Houghton, Trinity College, Dublin, Ireland
Nick Manton, DAMTP, University of Cambridge, UK
Paul Norbury, University of Melbourne, Australia
Martin Speight, University of Leeds, UK

publications
 
 
Refereed journal articles:

[1] On the constraints defining BPS monopoles
(with C J Houghton and N S Manton)
Commun. Math. Phys. 212 (2000) 219-243
[2] Quantum Chern-Simons vortices on a sphere
J. Math. Phys. 43 (2001) 3445-3469
[3] Slow Schrödinger dynamics of gauged vortices
(with J M Speight)
Nonlinearity 17 (2004) 1337-1355
[4] Dynamics of CP1 lumps on a cylinder
J. Geom. Phys. 54 (2005) 42-76
[5] Gauged vortices in a background
J. Phys. A: Math. Gen. 38 (2005) 9127-9144
(also at IoP Select)
[6] A combinatorial formula for homogeneous moments
(with M G Eastwood)
Math. Proc. Camb. Phil. Soc. 142 (2007) 153-160
[7] Spectral curves and the mass of hyperbolic monopoles
(with P Norbury)
Commun. Math. Phys. 270 (2007) 295-333
[8] Vortices and Jacobian varieties
(with N S Manton)
J. Geom. Phys. 61 (2011) 1135-1155
[9] Moduli of vortices and Grassmann manifolds
(with I Biswas)
Commun. Math. Phys. 320 (2013) 1-20

Refereed conference proceedings:

[10] First-order Bogomol'nyi vortices on a sphere
in: Proceedings of the Workshop on Integrable Theories, Solitons
and Duality, IFT, São Paulo, 2002,
JHEP proceedings PRHEP-unesp2002/043
[11] Slow dynamics of CP1 lumps on a cylinder
in: J.C. Mourão, J.P. Nunes, R. Picken, J.-C. Zambrini (Eds.): Prospects in Mathematical Physics (Lisbon 2003), Contemporary Mathematics 437, American Mathematical Society, 2007 (pp. 209-221)
[12] Singularities of Abel-Jacobi maps and geometry of dissolving vortices
in: P. Giblin, S. Janeczko, C. Romero-Fuster (Eds.): Proceedings of the Workshop on Singularities in Geometry and Applications (Będlewo 2011), J. Singul. 6 (2012) 146-157

Thesis:

[13] Classical and Quantum Aspects of Topological Solitons
PhD Thesis, University of Cambridge, 2002

Current preprints:

[14] On the curvature of vortex moduli spaces
       (with M Bökstedt)
recent/scheduled talks
 
 

  • 19.06.2013: TBA, Oberseminar Algebra und Geometrie, University of Leipzig, Germany
  • 21.05.2013: Supersymmetric quantum mechanics on vortex moduli spaces, Seminar on Algebra, Geometry and Physics, MPIM, Bonn, Germany
  • 10.05.2013: Spectral curves of hyperbolic monopoles, Integrability and Hyperbolic Monopoles, ICMS, University of Edinburgh, UK
  • 09.05.2013: Supersymmetric quantum mechanics on vortex moduli spaces, Geometry Seminar, University of Edinburgh, UK
  • 07.05.2013: Supersymmetric quantum mechanics on vortex moduli spaces, Mathematical Physics Seminar, DAMTP, University of Cambridge, UK
  • 06.03.2013: Supersymmetric quantum mechanics on vortex moduli spaces, Yorkshire and Durham Geometry Day, University of Leeds, UK
  • 26.11.2012: Some geometry of the vortex equations, Trimester Seminar, HIM, University of Bonn, Germany
  • 22.11.2012: Geometry of vortex moduli spaces, Geometry Seminar, École Polytechnique Fédérale de Lausanne, Switzerland
  • 04.09.2012: The vortex equations, Vortex Seminar, HIM, University of Bonn, Germany
  • 03.05.2012: Vortices and Jacobian varieties, Instituto Superior Técnico, Lisbon, Portugal
  • 10.02.2012: Vortex equations and their geometry V+VI, "Topological Methods in Nonlinear Analysis" Seminar, Gdańsk University of Technology, Poland
  • 09.02.2012: Vortex equations and their geometry III+IV, "Topological Methods in Nonlinear Analysis" Seminar, Gdańsk University of Technology, Poland
  • 08.02.2012: Vortex equations and their geometry I+II, "Topological Methods in Nonlinear Analysis" Seminar, Gdańsk University of Technology, Poland
  • other talks
conferences
 
 
some links
 
 
Maths and Physics:
Preprint arXiv (German mirror)
MathSciNet publications database and Mathematical Reviews
Eric Weisstein's MathWorld, an electronic encyclopedia of mathematics
SPIRES HEP research database
math-jobs.com, MathJobs.Org, current jobs in mathematics worldwide

News:
GuardianUnlimited, The Independent, The New York Times
Público, Visão
Die Welt, Die Zeit, Der Spiegel
Libération, Le Nouvel Observateur
Politiken.dk

General interest:
Wikipedia, the free online encyclopedia
Weather in Aarhus, Denmark
xe.com, the universal currency converter
LEO, online German dictionaries
Ordbogen.com, online Danish dictionaries
Urban Dictionary
Oneness: learn exotic languages online (e.g. Polish or Portuguese)
Linux project
LaTeX resources online

60 seconds with... me (interview for IoP)

contact information
 
 
Dr Nuno Romão
Hausdorff Research Institute for Mathematics
University of Bonn
Poppelsdorfer Allee 82
D-53115 Bonn
Germany

Office: 1005
Tel.: +49-228-73-62133
Fax: +49-228-73-4423

e-mail: Nuno's e-mail

<http://home.imf.au.dk/nromao/>, © N M Romão, last updated 15.03.2013