© 2005 - N M Romão
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Nuno M. Romão

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G-A-Universitaet Goettingen
Welcome to my personal homepage. I am a Scientific Associate at the Mathematical Institute of the University of Göttingen, 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.

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; after that, I was still 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, then I worked for the Department of Algebra and Geometry of the University of Barcelona during the first half of 2011, before moving back to 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.

Since October 2013, I have been a Scientific Associate at the Mathematical Institute of the University of Göttingen, Germany.

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.

At the University of Göttingen, I have been teaching:
  • WS 13/14: Analytische Geometrie und Lineare Algebra I (Saalübung);
  • SS 13/14: Differential- und Integralrechnung II (LA) + Mehrdimensionale Analysis für Physiker (Saalübung + Praktikum);
  • WS 14/15: Differential- und Integralrechnung III;
information for students is managed at the local Stud.IP server.

meetings organised
research interests

  • Topological solitons in gauge theories (in particular monopoles and vortices): their moduli spaces, dynamics, supersymmetric extensions, approaches to quantisation, dualities.
  • Aspects of differential, symplectic and algebraic geometry in mathematical physics: Kähler geometry, geometric quantisation, integrable systems, localisation phenomena, geometric phases.
Indranil Biswas, Tata Institute of Fundamental 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

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
[10] On the curvature of vortex moduli spaces
(with M Bökstedt)
Math. Z. 277 (2014) 549-573
[11] A no-go theorem for nonabelionic statistics in gauged linear sigma-models
(with I Biswas)
Adv. Theor. Math. Phys. (to appear)

Refereed conference proceedings:

[12] 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
[13] 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)
[14] 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


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

Submitted preprints:

[16] Pairs of pants, Pochhammer curves and L2-invariants
(with M Bökstedt)
recent/scheduled talks

  • 08.07.2015: Asymptotic geometry in moduli of nonlinear Abelian vortices, Informal Geometric Analysis Seminar, MPIM, Bonn, Germany
  • 23.04.2015: Geometry and topology of toric gauged sigma-models, Oberseminar Differentialgeometrie, Leibniz University of Hanover, Germany
  • 07.04.2015: Divisor braids and gauge theory, Mathematical Physics Seminar, DAMTP, University of Cambridge, UK
  • 02.02.2015: Divisor braids and gauge theory II, Gauge Theory Seminar, University of Göttingen, Germany
  • 26.01.2015: Divisor braids and gauge theory I, Gauge Theory Seminar, University of Göttingen, Germany
  • 17.11.2014: Pairs of pants, Pochhammer curves and quantum vortices, Gauge Theory Seminar, University of Göttingen, Germany
  • 26.10.2014: Quantum vortices on closed surfaces and L2-invariants, QGM Nielsen Retreat 2014, Sandbjerg Gods, Denmark
  • 20.08.2014: Quantum vortices on closed surfaces and L2-invariants, Topology and Geometry Seminar, NUS, Singapore
  • 07.07.2014: Quantum vortices on closed surfaces and L2-invariants, Gauge Theory Seminar, University of Göttingen, Germany
  • 11.04.2014: L2-invariants of vortex moduli, Seminari de Geometria Algebraica, University of Barcelona, Spain
  • 15.01.2014: L2-invariants of vortex moduli, Oberseminar Geometrie und Topologie, University of Bielefeld, Germany
  • 13.01.2014: Supersymmetric quantum mechanics on moduli spaces, Gauge Theory Seminar, University of Göttingen, Germany
  • other talks
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

GuardianUnlimited, The Independent, The New York Times
Público, Visão
Die Welt, Die Zeit, Der Spiegel
Libération, Le Nouvel Observateur

General interest:
Wikipedia, the free online encyclopedia
Weather in Göttingen, Germany
xe.com, the universal currency converter
LEO, online dictionaries for German and other languages
Ordbogen.com, online Danish dictionaries
Urban Dictionary
Oneness: learn exotic languages online (e.g. Polish or Portuguese)
Linux project
LaTeX resources online
Alphabetical list and map of commemorative plaques in Göttingen

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

contact information
Dr Nuno Romão
Mathematisches Institut
Universität Göttingen
Bunsenstraße 3-5
D-37073 Göttingen

Office: N32
Tel.: +49-551-39-7816
Fax: +49-551-39-22985

Nuno's e-mail

<http://www.uni-math.gwdg.de/nromao/>, © N M Romão, last updated 30.03.2015 or later