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Currently there are two major mathematical challenges in theoretical physics: understanding the origins of elementary particles, and understanding cosmology. The standard model of particle physics as well as the standard model of cosmology are successful theories that correctly describe a vast amount of data. Within the Mathematical Foundations we are interested in various kinds of theoretical models like, dark energy, dark matter, teleparallel gravity, modified gravity, Einstein-Cartan theory, brane-world models, inflation and loop quantum gravity. We are also working in classical general relativity and cosmology.

Dark Energy -- is a way to model the observed accelerated expansion of the universe with scalar fields or other forms of vacuum energy. One of our main interest is how we can learn more about dark energy with observations. We are also a member of the Dark Energy Survey (DES) team.

Modified Gravity -- Dark Energy is not the only possibilty to explain the observed accelerated expansion of the Universe. Modifactions to Einstein's general relativity on large scales could be a valid explanation for the observations. We are investigating how to constrain such theories and how to distinguish them from Dark Energy with observations. We are a member of the COSMOS supercomputing consortium and are using this machine to test comsological models.

Quantum Field Theory -- The Standard Model of particle physics is based on the quantum field theories QCD, describing the strong force, and the electroweak theory which contains QED. We work on application of QCD to the physics at particle colliders, in particular on the Large Hadron Collider (LHC) recently turned on at CERN, with special emphasis on the theoretical understanding of quark and gluon distributions and implications for collider experiments.


Links and connections

Current projects

  • geometrical understanding of the Weyl Lagrangian
  • exact solutions in f(R) modified gravity
  • dark spinors in cosmology and gravitation
  • anisotropic inflation models
  • the interior of a black hole in loop quantum gravity
  • dynamical dark energy models
  • brane-world models and classical tests
  • dark matter as a Bose-Einstein condensate
  • large scale analysis of collider data to verify QCD descriptions and
    extract parton distributions
  • resummations of perturbation theory at high energies
  • study of the effects of mass for quark distributions


If you are interested in any of these projects and would like to get involved, please contact either Dmitri Vassiliev or Christian Boehmer of the Department of Mathematics, or Robert Thorne of the High Energy Physics group of the Department of Physics & Astronomy.

Recent Papers


Dark energy with dark spinors
Christian G. Boehmer and James Burnett
0906.1351 [gr-qc]

Bounds on 2m/r for static objects with a positive cosmological constant
Hakan Andreasson and Christian G. Boehmer
Classical and Quantum Gravity 26 (2009) 195007
0904.2497 [gr-qc]

Stability of the Einstein static universe in modified Gauss-Bonnet gravity
Christian G. Boehmer and Francisco S. N. Lobo
Physical Review D79 (2009) 067504
0902.2982 [gr-qc]

Massless Dirac equation as a special case of Cosserat elasticity
Olga Chervova and Dmitri Vassiliev
0902.1268 [gr-qc]

Stability analysis of Newtonian polytropes
Christian G. Boehmer and Tiberiu Harko
0902.1054 [math-ph]

Weyl's Lagrangian in teleparallel form
James Burnett and Dmitri Vassiliev
0901.1070 [gr-qc]

Einstein static universes are unstable in generic f(R) models
Sanjeev S. Seahra and Christian G. Boehmer
Physical Review D79 (2009) 064009
0901.0892 [gr-qc]


Dirac equation as a special case of Cosserat elasticity
James Burnett, Olga Chervova, Dmitri Vassiliev
0812.3948 [gr-qc]

Dark spinors with torsion in cosmology
Christian G. Boehmer and James Burnett
Physical Review D 78 (2008) 104001
0809.0469v3 [gr-qc]

Stability of the Schwarzschild Interior in Loop Quantum Gravity
Christian G. Boehmer and Kevin Vandersloot
Physical Review D78 (2008) 067501
0807.3042 [gr-qc]

Dark spinor inflation -- theory primer and dynamics
Christian G. Boehmer
Physical Review D 77 (2008) 12353
0804.0616 [astro-ph]

Dynamics of dark energy with a coupling to dark matter
Christian G. Boehmer, Gabriela Caldera-Cabral, Ruth Lazkoz and Roy Maartens
Physical Review D 78 (2008) 023505
0801.1565 [gr-qc]

Solar system tests of brane world models
Christian G. Boehmer, Tiberiu Harko and Francisco S.N. Lobo
Classical and Quantum Gravity 25 (2008) 045015
0801.1375 [gr-qc]


Dark Energy: back to Newton?
Lucy Calder and Ofer Lahav
Astronomy & Geophysics journal of the Royal Astronomical Society 49 (2008) 1.13-1.18
0712.2196 [astro-ph]

CMB Anisotropies and Inflation from Non-Standard Spinors
Christian G. Boehmer, David F. Mota
Physics Letters B 663 (2008) 168
0710.2003 [astro-ph]

Loop Quantum Dynamics of the Schwarzschild Interior
Christian G. Boehmer and Kevin Vandersloot
Physical Review D76 (2007) 104030
0709.2129 [gr-qc]

Dark matter as a geometric effect in f(R) gravity
Christian G. Boehmer, Tiberiu Harko, Francisco S. N. Lobo
Astroparticle Physics 29 (2008) 386
0709.0046 [gr-qc]

Update of Parton Distributions at NNLO
A. D. Martin, W. J. Stirling, R. S. Thorne and G. Watt
Physics Letters B652 (2007) 292
0706.0459 [hep-ph]

Can dark matter be a Bose-Einstein condensate?
Christian G. Boehmer, Tiberiu Harko
JCAP 06 (2007) 025
0705.4158 [astro-ph]

Nonparametric determination of the redshift evolution index of dark energy
Haouri Ziaeepour
Modern Physics Letters A22 (2007) 1569


A global fit to scattering data with NLL BFKL resummations
C. D. White and R. S. Thorne
Physical Reviews D75 (2007) 034005

Probing Modified Gravity by Combining Supernovae and Galaxy Cluster Surveys J. Tang, J. Weller and A. Zablocki

A teleparallel model for the neutrino
Dmitri Vassiliev
Physical Review D75 (2007) 025006

A variable-flavour number scheme for NNLO
R. S. Thorne
Physical Review  D73 (2006) 054019

The Cosmological Parameters 2006
Ofer Lahav and Andrew R Liddle
Journal of Physics G33 (2006) 1

This page was last modified 9 February 2009 by Christian Boehmer