Dr. Timo de Wolff, M.A.
I am a postdoctoral researcher in the group of Hannah Markwig at the Institute of Mathematics of the Universität des Saarlandes. Recently, I finished my PhD under supervision of Thorsten Theobald at the Goethe University in Frankfurt am Main.
Here you can find my CV.
Address
Universität des Saarlandes,
Fachrichtung Mathematik,
Postfach 151150,
66041 Saarbrücken,
Germany
Office: Campus Gebäude E2 4, 3.04
Phone: +49 (0)681 302-3297
e-mail: dewolff(AT)math.uni-sb.de
Research Interests
I am mainly interested in algebraical, geometrical, topological and computational aspects of real and complex systems of polynomial equations and their varieties. Or, summarized under one (very) generic term, I do algebraic geometry. Specifically, I am working on
- Amoeba theory (dealing with complex algebraic varieties under norm constraints),
- Nonnegativity of real polynomials and sums of squares.
These topics have natural connections to and use methods from a couple of other fields in math, which I am also interested in and working on. Particularly,
- Discrete and algorithmic geometry,
- (Semidefinite and Polynomial) Optimization,
- Tropical geometry.
Teaching
Saarland University, Saarbrücken
- Summer term 14:
- Winter term 13/14:
Goethe University, Frankfurt
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Winter term 12/13:
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Summer term 11:
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Summer term 10:
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Winter term 09/10:
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Summer term 09:
Upcomming Events
Publications
Articles
- "Lower Bounds for Polynomials with Simplex Newton Polytopes Based on Geometric Programming" (joint with S. Iliman), submitted for publication, ArXiv 1402.6185.
- "Amoebas, Nonnegative Polynomials and Sums of Squares Supported on Circuits" (joint with S. Iliman), submitted for publication, ArXiv 1402.0462.
- "The Boundary of Amoebas" (joint with F. Schroeter) submitted for publication, ArXiv 1310.7363.
- "Low Dimensional Test Sets for Nonnegativity of Even Symmetric Forms" (joint with S. Iliman), submitted for publication, ArXiv 1303.4241.
- "Polytopes with Special Simplices", submitted for publication, ArXiv 1009.6158.
- "Separating Inequalities for Nonnegative Polynomials that Are not Sums of Squares" (joint with S. Iliman), to appear in J. Symbolic Comput. (special issue for "MEGA 2013"); see also ArXiv 1201.4061.
- "Approximating Amoebas and Coamoebas by Sums of Squares", (joint with T. Theobald), to appear in Math. Comp.; see also ArXiv 1101.4114.
- "Amoebas of Genus at Most One", (joint with T. Theobald), Adv. Math. 239 (2013), 190-213; see also ArXiv 1108.2456.
Theses
- PhD thesis for mathematics (Dissertation): "On the Geometry, Topology and Approximation of Amoebas", 2013, download as PDF.
- Master thesis for philosophy (Magisterarbeit): "Goodmans "New Riddle of Induction" - Eine Analyse auf mathematischer Grundlage", 2010.
- Master thesis for mathematics (Diplomarbeit): "Polytope mit speziellen Simplizes", 2008, download as PDF (German).
Talks & Posters
- "Amoebas, Nonnegative Polynomials and Sums of Squares Supported on Circuits"
- Workshop "Tropical Dibbelabbes" at the Saarland University, June 26th, 2014.
- Annual conference of the DFG priority project SPP 1489 "Algorithmic and experimental methods
in algebra, geometry, and number theory", Bad Boll, March 5th, 2014
- Universität zu Köln, January 15th, 2014 (seminar talk)
- "Nonnegative Polynomials and Sums of Squares Supported on Circuits"
- FU Berlin, June 5th, 2014 (seminar talk)
- "An Introduction to Amoeba Theory"
- Research Group "Polyhedral Surfaces", TU-Berlin, January 28th, 2014 (seminar talk)
- Doktoranden-Seminar, Goethe-University, Frankfurt / Main, October 29th, 2012 (seminar talk)
- "The Boundary of Amoebas"
- Goethe University, Frankfurt / Main, January 27th, 2014 (seminar talk)
- Universität des Saarlandes, Saarbrücken, December 5th, 2013 (seminar talk)
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"Roots of Trinomials from the Viewpoint of Amoeba Theory"
- "ÖMG-DMV Congress 2013", Innsbruck, September 25th, 2013
- "Tropical Geometry and Topology", MPI in Bonn, September 3rd, 2013
- Goethe University, Frankfurt / Main, June 27th, 2012 (seminar talk)
- Université Pierre et Marie Curie (Paris 6), Paris, June 6th, 2012 (seminar talk)
- Philipps-Universität, Marburg, May 23rd, 2012 (seminar talk)
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"Contemporary Key Problems in Amoeba Theory"
- Goethe University, Frankfurt / Main, July 12th, 2013 (seminar talk)
- Université de Genève, February 1st, 2012; (seminar talk)
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"Separating Inequalities for Nonnegative Polynomials that Are not Sums of Squares"
- "MEGA 2013", Goethe University, Frankfurt / Main, June 5th, 2013
- CWI, Amsterdam, June 8th, 2012 (seminar talk)
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"Tropical Approaches to Amoebas Supported on a Circuit"
- DMV-Jahrestagung, Univ. d. Saarlandes, Saarbrücken, September 18th, 2012
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"The Configuration Space of Amoebas"
- Workshop "Tropical Geometry", ICMS, Edinburgh, April 2nd, 2012 (Poster presentation; download Poster as PDF)
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"The Configuration Space of Amoebas with Barycentric Simplex Newton Polytope" (Talk as PDF (English))
- "4th PhD Students Conference on Tropical Geometry", Technical University, Kaiserslautern, July 30th, 2011
- Goethe University, Frankfurt / Main, July 5th, 2011 (seminar talk)
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"Approximation of Amoebas and Coamoebas by Sums of Squares"
- "MEGA 2011", Stockholm University, May 31st, 2011 (Poster presentation; download Poster as PDF)
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"(Co)Amoebas: Different Aspects of Approximation, Boundary and Homotopy"
- Courant Research Centre, Göttingen, October 27th, 2010; (seminar talk)
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"Amoebas of Genus at most one" (Talk as PDF (English))
- Goethe University, Frankfurt / Main, December 18th, 2009 (seminar talk)
- "1st PhD-students Conference on Tropical Geometry", Technical University, Berlin, December 11th, 2009
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"Polytopes with Special Simplices"
- "Kolkom 2010", Max Planck Institut Informatik, Saarbrücken, November 12th / 13th, 2010
- "DMV-Studierendenkonferenz", Ruhr University, Bochum, October 2nd, 2009
Some Past Events
Last Update: May 11th, 2014