Dr. Timo de Wolff, Visiting Assistant Professor
I am a Visiting Assistant Professor at the Department of Mathematics at the Texas A&M University. My mentors here are Frank Sottile and Maurice Rojas.
Before I came to Texas, I was a postdoctoral researcher in the group of Hannah Markwig at the Institute of Mathematics of the Saarland University in Saarbücken, Germany. Before I finished my PhD under supervision of Thorsten Theobald at the Goethe University in Frankfurt am Main, Germany in 2013.
Here you can find my CV.
Address
Department of Mathematics
Texas A&M University
College Station, TX 778433368
USA
Office: Blocker Building, 601D [Campus Map]
Phone: none (please contact me via email, mail, or in person)
Office hours: Monday and Wednesday 5:306:15 pm.
NOTE:
 You can always come by my office during office hour without prior notice.
 If you are unable to see me during my official office hours or if you would like to discuss a delicate matter like grades or a potential Qdrop, then please send me an email to arrange an individual appointment.
email: dewolff(AT)math.tamu.edu.
News
 07/20/2016: Mareike Dressler, Sadik Iliman, and I finished our article "A Positivstellensatz for Sums of Nonnegative Circuit Polynomials".
 02/21/2016: Mareike Dressler, Sadik Iliman, and I finished our article "An Approach to Constrained Polynomial Optimization via Nonnegative Circuit Polynomials and Geometric Programming".
 02/11/2016: My article "Intersections of Amoebas" (joint with Martina JuhnkeKubitzke) has been accepted for a poster presentation on FPSAC '16.
 02/08/2016: This is a really nice day. Thorsten Jörgens, Thorsten Theobald, and I finished our article "Imaginary Projections of Polynomials". Also, my article "Lower Bounds for Polynomials with Simplex Newton Polytopes Based on Geometric Programming" (joint with Sadik Iliman) has been accepted by the SIAM Journal on Optimization today.
 10/28/2015: After three years of work (with some breaks in between) Martina JuhnkeKubitzke and I finally finished our article Intersections of Amoebas.
 10/22/2015: My article "Norms of Roots of Trinomials" (joint with Thorsten Theobald) has been accepted by Mathematische Annalen. Recently, my article "Amoebas, Nonnegative Polynomials and Sums of Squares Supported on Circuits", (joint with Sadik Iliman) has been accepted by Research in the Mathematical Sciences.
 09/23/2015: The first alpha version of our software "
Viro.sage
" for using Viro Patchworking in SAGE
went online today. This is joint work with Chris O'Neill and Emma Owusu Kwaakwah. The development will go on and new features will be added soon.
Research Interests
My research interest is pretty broad. I am mainly interested in combinatorial, geometrical, and computational aspects of real and complex systems of polynomial equations and their varieties. Or, summarized, I do mainly combinatorial, real, and computational algebraic geometry. Specifically, I am working on
 Nonnegativity of real polynomials and sums of squares (real algebraic geometry).
 Amoeba theory (dealing with complex algebraic varieties under norm constraints),
These topics have natural connections to other fields in math, which I am also interested in and working on. These are particularly:
 Semidefinite and Polynomial Optimization,
 Combinatorics, particularly Discrete Geometry,
 Tropical Geometry.
Moreover, I am interested in potential connections to subjects in science and engineering.
Teaching
Texas A&M University, College Station
 Fall 16:
 Lecture: MATH 304  Linear Algebra (Sections 505 and 506).
 Spring 16:
 Fall 15:
 Spring 15:
 Fall 14:
Saarland University, Saarbrücken
 Summer term 14:
 Winter term 13/14:
Goethe University, Frankfurt / Main

Winter term 12/13:

Summer term 11:

Summer term 10:

Winter term 09/10:

Summer term 09:
Upcoming Events
 July 25th  29th, 2016: "XXI Coloquio Latinoamericano de Álgebra", Buenos Aires, Argentina.
 November 12th  13th, 2016: AMS Session on "Applied Algebraic Geometry", Raleigh, NC, USA.
 November 13th  16th, 2016: "INFORMS Annual Meeting", Nashville, TN, USA.
 November 27th  December 2nd, 2016: "Seminar on Algorithms and Effectivity in Tropical Mathematics and Beyond", Schloss Dagstuhl, Germany.
 June 12th  16th, 2017: "MEGA 2017", Nice, France.
 July 10th  19th, 2017: "FoCM '17", Barcelona, Spain.
Publications
Articles
 "A Positivstellensatz for Sums of Nonnegative Circuit Polynomials" (joint with M. Dressler and S. Iliman), see ArXiv 1607.06010.
 "An Approach to Constrained Polynomial Optimization via Nonnegative Circuit Polynomials and Geometric Programming" (joint with M. Dressler and S. Iliman), see ArXiv 1602.06180.
 "Imaginary Projections of Polynomials" (joint with T. Jörgens and T. Theobald), see ArXiv 1602.02008.
 "Intersections of Amoebas", (joint with M. JuhnkeKubitzke), submitted for publication, ArXiv 1510.08416. Is accepted for a poster presentation on FPSAC '16.
 "A Sharp Upper Bound for the Complexity of Labeled Oriented Trees", (joint with M. Christmann), submitted for publication, ArXiv 1412.7257.
 "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.
 "Lower Bounds for Polynomials with Simplex Newton Polytopes Based on Geometric Programming", (joint with S. Iliman), to appear in SIAM J. Optim.; see also ArXiv 1402.6185.
 "Norms of Roots of Trinomials", (joint with T. Theobald), Math. Ann., 2015, DOI: 10.1007/s0020801513238; see also ArXiv 1411.6552. Was accepted for a talk on "MEGA 2015".
 "Amoebas, Nonnegative Polynomials and Sums of Squares Supported on Circuits", (joint with S. Iliman), Res. Math. Sci. 3(1) (2016), 135; see also ArXiv 1402.0462. Was accepted for a talk on "MEGA 2015".
 "Separating Inequalities for Nonnegative Polynomials that Are not Sums of Squares", (joint with S. Iliman), J. Symbolic Comput. 68 (2015), part 2, 181194 (special issue for "MEGA 2013"); see also
ArXiv 1201.4061. Was accepted for a talk on "MEGA 2013".
 "Approximating Amoebas and Coamoebas by Sums of Squares", (joint with T. Theobald), Math. Comp. 84 (2015), 455473; see also ArXiv 1101.4114. Was accepted for a poster presentation on "MEGA 2011".
 "Amoebas of Genus at Most One", (joint with T. Theobald), Adv. Math. 239 (2013), 190213; see also ArXiv 1108.2456.
Surveys
 "Amoebas, Nonnegative Polynomials and Sums of Squares Supported on Circuits", an extended abstract for the correspondent article; Oberwolfach Report, no. 23, 2015, 5356.
 "Amoebas and their Tropicalizations  a Survey", submitted for publication.
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).
Software
Talks & Posters
 TBA
 "FoCM '17", Barcelona, Canada, July 10th19th, 2017.
 AMS Session on "Applied Algebraic Geometry", Raleigh, NC, November 12th, 2016.
 "Intersections of Amoebas"
 "FPSAC '16", Simon Fraser University, Vancouver, Canada, July 4th5th, 2016 (poster presentation; download the Poster as PDF).
 Algebraic Geometry and Number Theory Seminar, Clemson University, Clemson, SC, April 8th, 2016 (seminar talk).
 "TAGS 2016", University of Texas at Austin, TX, April 2nd, 2016 (poster presentation; download the Poster as PDF).
 Algebra and Combinatorics Seminar, Texas A&M University, College Station, TX, January 29th, 2016 (seminar talk).
 "New Certificates for Nonnegativity via Circuit Polynomials and Geometric Programming"
 "INFORMS Annual Meeting", Nashville, TN, USA, November 13th16th, 2016.
 "Eighth Discrete Geometry and Algebraic Combinatorics Conference", South Padre Island, TX, May 46th, 2016.
 "Meeting on Algebraic Geometry for Applications", Clemson University, SC, USA, April 9th, 2016.
 Scientific and Statistical Computing Seminar, University of Chicago, IL, February 11th, 2016 (seminar talk).
 Joint FRAGMENT and Poisson Geometry Seminar, University of Colorado at Boulder, CO, February 3rd, 2016 (seminar talk).
 "An Introduction to Amoeba Theory and Intersections of Amoebas"
 Algebra Seminar, Universidad de Los Andes, Bogotá, Colombia, March 16th, 2016 (seminar talk).
 FRAGMENT Seminar, Colorado State University, Fort Collins, CO, February 4th, 2016 (seminar talk).
 "An Introduction to Tropical Geometry"
 Junior Algebra & Geometry Seminar, Texas A&M University, College Station, TX, February 16th, 2016 (seminar talk).
 Student Working Seminar in Discrete Mathematics, Texas A&M University, College Station, TX, September 23rd, 2014 (seminar talk).
 "Nonnegative Polynomials and Sums of Squares Supported on Circuits"
 "Joint Mathematics Meeting", Algebraic Geometry section, Seattle, WA, January 9th, 2016.
 "Postdoc Colloqium", Texas A&M University, College Station, TX, October 19th, 2015.
 Algebraic Geometry and Number Theory seminar, Rice University, Houston, TX, September 15th, 2015 (seminar talk).
 Number Theory Seminar, University of Texas at Austin, February 19th, 2015 (seminar talk).
 FU Berlin, June 5th, 2014 (seminar talk).
 "Norms of Roots of Trinomials"
 "TGTC 2015", Rice University, Houston, TX, Nov. 7th, 2015 (poster presentation; download the Poster as PDF).
 "MEGA 2015", University of Trento, June 18th, 2015.
 "TAGS 2015", Texas A&M University, College Station, TX, April 11th, 2015 (poster presentation; download the Poster as PDF).
"Roots of Trinomials from the Viewpoint of Amoeba Theory"
 Algebra & Number Theory seminar, Emory University, Atlanta, GA, October 6th, 2015 (seminar talk).
 "SIAM Conference on Applied Algebraic Geometry", NIMS & KAIST, Deajon (South Korea), August 4th, 2015.
 Oberseminar Algebraische Geometrie, Universität Augsburg, June 11th, 2015 (seminar talk).
 "Postdoc Colloqium", Texas A&M University, College Station, October 9th, 2014 (seminar talk).
 "ÖMGDMV 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).
 PhilippsUniversität, Marburg, May 23rd, 2012 (seminar talk).
 "Amoebas, Nonnegative Polynomials and Sums of Squares Supported on Circuits"
 Algebra seminar, Georgia Tech, Atlanta, GA, October 5th, 2015 (seminar talk).
 "MEGA 2015", University of Trento, June 15th, 2015.
 Workshop "Tropical Aspects in Geometry, Topology and Physics", MFO in Oberwolfach, May 2nd, 2015.
 Algebraic Geometry Seminary at the Texas A&M University, College Station, September 29th, 2014 (seminar talk).
 Workshop "Tropical Dibbelabbes" at the Saarland University, Saarbrücken, June 27th, 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).
 "An Introduction to Amoeba Theory"
 Universität Osnabrück, Osnabrück, June 26th, 2015 (seminar talk).
 Student Working Seminar in Discrete Mathematics at the Texas A&M University, College Station, September 30st, 2014 (seminar talk).
 Research Group "Polyhedral Surfaces", TUBerlin, January 28th, 2014 (seminar talk).
 DoktorandenSeminar, GoetheUniversity, Frankfurt / Main, October 29th, 2012 (seminar talk).
 "Computing Amoebas"
 "Workshop on NonLinear Algebra", Berlin, May 29th, 2015.
 "A Sharp Upper Bound for the Complexity of Labeled Oriented Trees"
 Algebra and Combinatorics Seminar, Texas A&M University, College Station, March 6th, 2015 (seminar talk).
 "The Boundary of Amoebas"
 Geometry Seminar, Texas A&M University, College Station, TX, February 16th, 2015 (seminar talk).
 Goethe University, Frankfurt / Main, January 27th, 2014 (seminar talk).
 Universität des Saarlandes, Saarbrücken, December 5th, 2013 (seminar talk).

"Contemporary Key Problems in Amoeba Theory"
 Goethe University, Frankfurt / Main, July 12th, 2013 (seminar talk).
 Université de Genève, February 1st, 2012; (seminar talk).

"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).

"Tropical Approaches to Amoebas Supported on a Circuit"
 DMVJahrestagung, Univ. d. Saarlandes, Saarbrücken, September 18th, 2012.

"The Configuration Space of Amoebas"
 Workshop "Tropical Geometry", ICMS, Edinburgh, April 2nd, 2012 (Poster presentation; download the Poster as PDF).

"The Configuration Space of Amoebas with Barycentric Simplex Newton Polytope"
 "4th PhD Students Conference on Tropical Geometry", Technical University, Kaiserslautern, July 30th, 2011
 Goethe University, Frankfurt / Main, July 5th, 2011 (seminar talk).

"Approximation of Amoebas and Coamoebas by Sums of Squares"
 "MEGA 2011", Stockholm University, May 31st, 2011 (Poster presentation; download the Poster as PDF).

"Polytopes with Special Simplices"
 "Kolkom 2010", Max Planck Institut Informatik, Saarbrücken, November 12th / 13th, 2010.
 "DMVStudierendenkonferenz", Ruhr University, Bochum, October 2nd, 2009.

"(Co)Amoebas: Different Aspects of Approximation, Boundary and Homotopy"
 Courant Research Centre, Göttingen, October 27th, 2010; (seminar talk).

"Amoebas of Genus at most one"
 Goethe University, Frankfurt / Main, December 18th, 2009 (seminar talk).
 "1st PhDstudents Conference on Tropical Geometry", Technical University, Berlin, December 11th, 2009.
Some Past Events
 July 4th  8th, 2016: Conference "FPSAC '16" at the Simon Fraser University, Vancouver, Canada.
 May 4th  6th, 2016: "Eighth Discrete Geometry and Algebraic Combinatorics Conference", South Padre Island, TX, USA.
 April 9th, 2016: "Meeting on Algebraic Geometry for Applications", Clemson University, SC, USA.
 April 2nd  3rd, 2016: "TAGS 2016" at the The University of Texas at Austin, TX, USA.
 November 6th  8th 2015: "The 2015 Fall Texas Geometry and Topology Conference" at Rice University, TX, USA.
 August 3rd  7th, 2015: "SIAM Conference on Applied Algebraic Geometry" at NIMS & KAIST, Daejon, South Korea (Organizer of Minisymposium "Real Algebraic Geometry and Optimization").
 June 15th  19th 2015: Conference "MEGA 2015" at the University of Trento, Italy.
 May 28th  30th 2015: "Workshop on NonLinear Algebra" at the Academy of Sciences and Humanities in Berlin, Germany
 April 26th  May 2nd 2015: Workshop "Tropical Aspects in Geometry, Topology and Physics" at the MFO in Oberwolfach, Germany.
 April 10th  12th 2015: "The Texas Algebraic Geometry Symposium" at the Texas A&M University in College Station, TX, USA.
 February 27th  March 1st 2015: "The 2015 Spring Texas Geometry and Topology Conference" at the University of Houston, TX, USA.
 May 9th10th, 2014: Conference "Symposium Diskrete Mathematik" at the Goethe University, Frankfurt / Main, Germany.
 November 12th  16th, 2013: "GeoLMI 2013" at the Centre International de Rencontres Mathématiques (CIRM) in MarseilleLuminy, France.
 June 3rd  7th, 2013: Conference "MEGA 2013" at the Goethe University in Frankfurt / Main, Germany (Member of the local organizer committee).
 March 7th 2013: "Math across the Main" at the TU Darmstadt, Germany (Organizer).
 September 17th  20th 2012: "DMVJahrestagung" at the Univ. d. Saarlandes in Saarbrücken, Germany.
 April 2nd  6th 2012: Workshop "Tropical Geometry" at the ICMS in Edinburgh, Scotland.
 July 29th  31th 2011: "4th PhD Students Conference on Tropical Geometry" at the Technical University in Kaiserslautern, Germany.
 May 30th  June 3rd 2011: Conference "MEGA 2011" in Stockholm, Sweden.
 May 5th  7th 2011: Workshop: "Discrete, Tropical and Algebraic Geometry" at the Goethe University in Frankfurt / Main (Coorganizer), Germany.
 January 28th  30th 2011: "3rd PhD Students Conference on Tropical Geometry" at the CRCG in Göttingen, Germany.
 November 12th / 13th 2010: "Colloqium on Combinatorics 2010" at the MPI in Saarbrücken, Germany.
 July 16th / 17th 2010: "2nd PhD Students Conference on Tropical Geometry" at the Goethe University in Frankfurt / Main (Organizer), Germany.
 May 31th  June 4th 2010: EIDMA Minicourse "Algebraic Optimization and Semidefinite Programming" at the CWI in Amsterdam, Netherlands.
 December 11th / 12th 2009: "1st PhD Students Conference on Tropical Geometry" at the Technical University in Berlin, Germany.
 August 24th  28th 2009: "Introductory Workshop: Tropical Geometry" at the MSRI in Berkeley, USA.
Last Update: July 20th, 2016