Research



Research interests

Singularity Theory, the monodromy conjecture, toric geometry and Newton polyhedra, Poincaré series, combinatorics, clusters of infinitely near points.


Publications

  • W. Castryck, D. Ibadula and A. Lemahieu, The holomorphy conjecture for nondegenerate surface singularities (pdf), Nagoya Math. J. (2016), p. 1-29. doi: 10.1017/nmj.2016.51.
  • M. Gonzalez Villa and A. Lemahieu, The monodromy conjecture for plane meromorphic germs, Bull. of the London Math. Soc. (2014) 46 (3): 441-453 doi:10.1112/blms/bdt098 (pdf)
  • A. Campillo and A. Lemahieu, Poincaré series for filtrations defined by discrete valuations with arbitrary center, J. Algebra 377 (2013) 66-75 (pdf)
  • A. Lemahieu, Poincaré series of embedded filtrations, Math. Res. Letters Vol.18, Issue 5 (2011), 815-825 (pdf)
  • A. Lemahieu and L. Van Proeyen, The holomorphy conjecture for ideals in dimension two, Proc. Amer. Math. Soc. 139 (2011), 3845-3852 (pdf)
  • A. Lemahieu and L. Van Proeyen, Monodromy conjecture for nondegenerate surface singularities, Trans. of the A.M.S. 363 (2011), 4801-4829 (pdf)
  • A. Lemahieu and L. Van Proeyen, Poles of the topological zeta function for plane curves and Newton polyhedra, C. R. Ac. Sci. 347 (2009), 637-642 (pdf)
  • A. Lemahieu and W. Veys, Zeta functions and monodromy for surfaces that are general for a toric idealistic cluster, International Mathematics Research Notices, Vol. 2009, No. 1, 11-62 (pdf)
  • A. Lemahieu and W. Veys, On monodromy for a class of surfaces, C. R. Ac. Sci. 345/11 (2007), 633-638 (pdf)
  • A. Lemahieu, Poincaré series of a toric variety, J. Algebra 315/2 (2007), 683-697 (pdf)
  • A. Lemahieu, D. Segers and W. Veys, On the poles of topological zeta functions, Proceedings of the AMS, 134 (2006), 3429-3436 (pdf)


Preprints

  • A. Esterov, A. Lemahieu and K. Takeuchi, On the monodromy conjecture for non-degenerate hypersurfaces (pdf)


Ph.D. Thesis

I did my Ph.D. studies under supervision of Prof. Dr. Antonio Campillo (Universidad de Valladolid, Spain) and of Prof. Dr. Wim Veys (Katholieke Universiteit Leuven). I defended my Ph.D. thesis titled `Poincaré Series and Zeta Functions- on March 2nd, 2007 (pdf).