© 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 Post-Doc associated to QGM (Centre for Quantum Geometry of Moduli Spaces), Aarhus University, Denmark, now working at the Max Planck 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.

directions
 
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 am still more or less officially associated to CTQM and its 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 will be leading 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.

seminar/workshop
 
 
In the 1st Semester of 2012/13, I will be running a Vortex Seminar as part of the JHTP "Mathematical Physics" at the Hausdorff Research Institute for Mathematics (HIM), University of Bonn.
I am also organising the workshop Geometry of the Vortex Equations, which will take place 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

Refereed conference proceedings:

[9] 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
[10] 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)

Thesis:

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

Current preprints:

[12] On the curvature of vortex moduli spaces
       (with M Bökstedt)

[13] Moduli of vortices and Grassmann manifolds
       (with I Biswas)

[14] Singularities of Abel-Jacobi maps and geometry of dissolving vortices

recent/scheduled talks
 
 

  • 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
  • 08.12.2011: Geometry of gauged vortices, Oberseminar, Max Planck Institute for Mathematics, Bonn, Germany
  • 11.07.2011: Complex geometry of dissolving vortices, Gauge Theory and Complex Geometry, University of Leeds, UK
  • 27.05.2011: Moduli of vortices and Grassmann manifolds, Seminario de Geometría y Física, Complutense University of Madrid, Spain
  • 19.05.2011: Singularities of Abel-Jacobi maps and geometry of dissolving vortices, IMPAN Workshop on Singularities in Geometry and Applications, Będlewo, Poland
  • 08.03.2011: Moduli of vortices and Grassmann manifolds, Mathematical Physics Seminar, DAMTP, University of Cambridge, UK
  • 02.03.2011: L2-geometry of gauged vortices II, Grup de Recerca en Geometria i Topologia Algebraica, University of Barcelona, Spain
  • 24.02.2011: L2-geometry of gauged vortices I, Grup de Recerca en Geometria i Topologia Algebraica, University of Barcelona, Spain
  • 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
Max-Planck-Institut für Mathematik
Vivatsgasse 7
D-53111 Bonn
Germany

Office: 312
Tel.: +49-228-402-332
Fax: +49-228-402-277


Dr Nuno Romão
QGM - Centre for Quantum Geometry of Moduli Spaces
Aarhus Universitet
Ny Munkegade 118, bygn. 1530
DK-8000 Århus C
Denmark

Office: A 317 (Building 1530)
Tel.: +45-8942-3461
Fax: +45-8613-1769

e-mail: Nuno's e-mail

<http://home.imf.au.dk/nromao/>, © N M Romão, last updated 01.01.2012