Group Members

We are looking for new PhD students, Postdocs, and Master students to join the team (see openings) !

Principal Investigator

Michael Melgaard

Professor of Mathematics, Head of Department
email: m.melgaard@sussex.ac.uk

Subject Chair in Analysis and Partial Differential Equations

Light CV

Current PhD students

V. J. J. Syrjanen

Ph.D. student since October 2016 (Extension due to Covid19 pandemic)

  • MSc Mathematics, University of Warwick, 2016
  • BA Honours Mathematics, University of Cambridge, 2015.

M. Almusawa

Ph.D. student since January 2017

  • MSc in Applied and Computational Mathematics, University of Massachusetts Lowell, U.S.A., 2015
  • BSc in Mathematics, Jazan University, Saudi Arabia, 2012.

W. Hamali

Ph.D. student since May 2017.

  • MSc in Mathematics, Murray State University, U.S.A., 2015
  • BSc in Mathematics, King Abdul-Aziz University, Jeddah, Saudi Arabia, 2008.

M. D. Chan

Ph.D. student since April 2019. Awarded the Chancellor’s International Research Scholarship

  • MSc in Mathematics, University of Sussex, 2018
  • BSc in Mathematics, Universidad Autonoma de Yucatan, Mexico, 2017

Former PhD students

Bobby Cheng

Member of the group from 2015 to 2019, now an assistant manager at Deloitte (City of London)
Role: Ph.D. student funded by EPSRC, University of Sussex, Great Britain.

  • Title of Ph.D. thesis (2020) "Trace formulas for Dirac operators with applications to resonances"
  • MSc in Applied Mathematics, Imperial College London, 2012.
  • BSc in Physics with Theoretical Physics, University of Manchester, 2011.

Jimmy Kungsman

Member of the group from 2008 to 2014. He works as a system developer at Saab, Stockholm, Sweden.
Role: Ph.D. student, Uppsala University, Sweden.

Jimmy co-authored 4 papers with Prof. Melgaard.

  • Title of Ph.D. thesis (2014) "Resonances for the Dirac operator"
  • MSc in Mathematics, Uppsala University, 2008.

Frederic Zongo

Member of the group from 2008 to 2013. Frederic is a lecturer in Mathematics at the Institut Des Sciences, Ouagadougou, Burkina Faso.
Role: Ph.D. student, jointly Uppsala University, Sweden and Universite de Ouagadougou, Burkina Faso.

  • Title of Ph.D. thesis (2013) "Etudes de problemes anisotropiques nonlineaires et d'equations quasirelativisties de type Choquard"

Carlos Argáez

Member of the group from 2009 to 2013, now a post-doctoral fellow at the Science Institute, University of Iceland.
Role: Ph.D. student funded by SFI Research Frontier programme, Science Foundation Ireland, Dublin Institute of Technology, Repulic of Ireland.

Carlos has co-authored 4 papers with Prof. Melgaard. He has held several post-doctoral positions since he earned his Ph.D. and his expertise includes analysis and PDEs, quantum chemistry, dynamical systems, numerical analysis, and scientific computing.

  • Title of Ph.D. thesis (2013) "Rigorous results on nonlinear equations arising in Quantum Chemistry"
  • B.Sc. in Physics (2007), National Autonomous University of Mexico, Mexico City, Mexico.

Mattias Enstedt

Member of the group from 2005 to 2011.
Role: Ph.D. student, Uppsala University, Sweden.

Mattias has co-authored 4 papers with Prof. Melgaard. After he earned his Ph.D., he has worked in the private sector.

  • Title of Ph.D. thesis (2011) "Selected Topics in Partial Differential Equations"
  • M.Sc. in Applied Physics and Electrical Engineering (2005), Linköping University, Linköping, Sweden.

Former master students

Mariana D. Chan

Master student, University of Sussex, 2018.

Mariana was awarded the Chancellor’s International Research Scholarship and she is currently pursuing her Ph.D. under Prof. Melgaard’s supervision.

  • Title of MSc dissertation "Low-energy scattering for Schrödinger operators".

Chukwudi Ogadinma

Master student, University of Sussex, 2016.

  • Title of MSc dissertation "Existence of resonance for three-dimensional Schrödinger operator"

Nigel Orr

Master student, Dublin Institute of Technology, Ireland, 2013.

Nigel did his MSc while he was in full-time employment. He is currently pursuing a PhD at Dublin Institute of Technology (once again part-time since he is working full-time). His research interests are Camassa-Holm equations.

  • Title of MSc dissertation "Perturbations of embedded eigenvalues for Schrödinger operators with matrix potentials".

Ben Li

Master student, Uppsala University, Sweden, 2012.

Ben Li went on to earn a PhD in Mathematics from Case Western Reserve University in 2018. He then joined Tel Aviv University as a postdoctral researcher. Ben works on convex geometry, Banach space theory, and their application to Quantum information theory.

  • Title of MSc dissertation "Solutions to the Muller model in Quantum Chemistry".

Stefan Hellander

Master student, Uppsala University, Sweden, 2008.

Stefan went on to achieve a Ph.D. in Scientific Computing from Uppsala University in 2013, with the thesis “Stochastic Simulation of Reaction-Diffusion Processes”, advised by Prof. Em. Per Lötstedt. He then went on to work as a postdoc in the lab of Prof. Linda Petzold at UCSB, until returning to Uppsala in August of 2017. His research interests include microscopic and mesoscopic modeling and simulation of reaction-diffusion systems, as well as multiscale modeling with the aim of accurately integrating the different scales. Today he is working as a Machine Learning Engineer at Scaleout (Uppsala, Sweden).

  • Title of MSc dissertation "A geometric approach to stability of Matter".

Jimmy Kungsman

Master student, Uppsala University, Sweden, 2008.

Jimmy earned a Ph.D. in Mathematics from Uppsala University in 2014, with the thesis “Resonances for the Dirac operator”, advised by Prof. M. Melgaard. He works as a system developer at Saab, Stockholm, Sweden.

  • Title of MSc dissertation "Approximating resonances with the Complex Absorbing Potential method".

Tomas Johnson

Master student, Uppsala University, Sweden, 2005.

As a spin-off of this MSc thesis, Tomas published a paper with Prof M. Melgaard entitled “On the maximal ionization for the atomic Pauli operator” (Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 2005). Subsequently, Tomas earned a Ph.D. in Mathematics from Uppsala University in 2009, with the thesis “Computer-aided Computation of Abelian Integrals and Robust Normal Forms”. He held several post-doctoral postions from 2010 to 2013 (e.g., spending 1 year at Cornell University) before he took up a position as Applied Researcher at the Fraunhofer-Chalmers Centre for Industrial Mathematics, Gothenburg, Sweden. To date, he has published more than 20 papers, primarily on dynamical systems and ergodic theory, fluid mechanics and numerical analysis.

  • Title of MSc dissertation "Maximal ionization of atoms and molecules in external magnetic fields"

Christophe Lacave

Master student, Uppsala University, Sweden, 2004.

Christophe earned a Ph.D. in Mathematics from Université Claude Bernard (Lyon) in 2009, with the thesis “Fluides autour d’obstacles minces”, advised by Dragos Iftimie. He is currently a Senior Lecturer at Institut Fourier, Université Grenoble Alpes. He has published more than 25 papers on mathematical fluid mechanics.

  • Title of MSc dissertation "Geometrical approach to inverse quantum scattering".

Camille Illand

Master student, Uppsala University, Sweden, 2004.

Camille later earned a Ph.D. in Mathematics (Probability and Finance) from Université Pierre et Marie Curie. He works as a quantitative analyst at AXA Investment Managers, Paris, France.

  • Title of MSc dissertation "Functional calculus"

Aurélien Monteillet

Master student, Uppsala University, Sweden, 2004.

Aurélien went on to earn a Ph.D. in Mathematics from Université de Brest, France, in 2008, with the thesis “Contribution à l’étude d’équations de propagations de fronts locales et non-locales”, advised by Pierre Cardaliaguet. In his doctoral thesis he proves integral formulations of the eikonal equation, equivalent to the notion of viscosity solution in the framework of the set-theoretic approach to front propagation problems. He applies these integral formulations to investigate the regularity of the front.

  • Title of MSc dissertation "Atomic Schrödinger operator"

Former long-term visitors, BSc/ MSc students

Visitors

Frederic Zongo, 2017, 2018

Meiyue Jiang, Peking University, 2015.

Wenming Zou, Tsinghua University, 2015

Daphne Gilbert, Spring 2014

Master students

M. D. Chan, 2018

C. O. Chikwendu, 2016

N. Orr, 2013

B. Li, 2012

S. Hellander, 2008

J. Kungsman, 2008

T. Johnson, 2005

C. Lacave, 2004

C. Illand, 2004

A. Monteillet, 2004

Bachelor Students

Ying Sung, 2019

Syazana M. Diaz, 2019

Richard Widdowson, 2017

Candice Curran, 2014

Hazhar Ghaderi, 2011

Samuel Edwards, 2011

Pär Mattsson, 2011