Contact

Manuel González Villa
Department of Mathematics
University of Wisconsin
480 Lincoln Dr.
Madison, WI 53706-1325
phone: 608-263-6272
fax: 608-263-8891

Email: villa at math.wisc.edu

Teaching

Research

- (with P.D. González-Pérez) Motivic Milnor fiber of a quasi-ordinary hypersurface. J. Reine Angew. Math. 687 (2014), 159-205. See also Preprint at arXiv
- (with N. Budur and P.D. González-Pérez) Log canonical thresholds of quasi-ordinary hypersurface singularities. Proc. of the AMS. 140 (2012) 4075-4083. See also Preprint at arXiv.
- Newton process and semigroups of irreducible quasi-ordinary power series. Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM 108 (2014), no. 1, 259-279.
- Inner Jumping Numbers of Non Degenerate Polynomials. Math. Z. August 2013, Volume 274, Issue 3-4, pp 1113-1118.
- (with A. Lemahieu) The Monodromy Conjecture for Plane Meromorphic germs. Bull. Lond. Math. Soc. 46 (2014), no. 3, 441-453. See also Preprint at arXiv.
- (with A. Libgober and L. Maxim) Motivic infinite cyclic covers Advances in Mathematics, Volume 298, 6 August 2016, Pages 413-447. See also Preprint at arXiv.
- (with A. Libgober and L. Maxim) Motivic zeta functions and infinite cyclic covers, to appear at Proceedings of the Conference "Ein60: Local and Global Methods in Algebraic Geometry", UIC, May 2016. N. Budur, R. Docampo, T. de Fernex, and K. Tucker (Eds.). To appear in Contemp. Math. AMS (2017). Preprint at arXiv
- (with G. Kennedy and L. McEwan) A recursive formula for the motivic Milnor fiber of a plane curve, 12 pages, submitted for publication.

Activities

Singularities Seminar at Wisconsin

To Talk at the Sesion Paralela on Aspectos Topologicos, Geometricos y Algebraicos de la Teoria de Singularidades at the 4 Congreso de Jovenes Investigadores, Real Sociedad Matematica Espanola Universitat de Valencia, September 4-8, 2017.

To talk at the Singularity Theory Conference, East China Normal University Shanghai, China, July 10-14, 2017

Singularities in the Midwest IV, (with Laurentiu Maxim and Botong Wang) University of Wisconsin-Madison, Madison, WI, March 17-19, 2017.

To give two talks at the Mini conference on singularities and motivic integrationUniversity of California, Davis, November 7-10, 2016

To talk at Focus Program on Topology, Stratified Spaces and Particle Physics, The Fields Institute for Research in Mathematical Sciences, Toronto, Canada, August 8 - 26, 2016.

Singularities in the Midwest III, (with Laurentiu Maxim) University of Wisconsin-Madison, Madison, WI, March 21-24, 2016.

AMS Special Session on SINGULARITIES IN ALGEBRA, GEOMETRY AND TOPOLOGY at the Central Fall Sectional Meeting, (with Laurentiu Maxim) Loyola University Chicago, Chicago, IL, October 3-4, 2015.