PD Dr. Andreas Paffenholz
Some Slides of Recent Talks
(1) Polyhedral Adjunction and Finiteness of the Q-Codegree Spectrum
3C in G Workshop on Computational Algebra at King's College, Cambridge', April 21, 2017
(2) Classifications of Lattice Polytopes
Computational Commutative Algebra and Convex Polytopes at RIMS Kyoto, August 02, 2016
(3) Gitterpunkte, Polytope und torische Geometrie
Antrittsvorlesung TU Darmstadt, December 10, 2014
(4) Finiteness of the polyhedral Q-codegree spectrum
AMS Western Sectional meeting San Francisco, October 26, 2014
(5) Polyhedral Adjunction Theory
Graduate School Methods of Discrete Structures, November 25, 2013
(6) Fano Polytopes with Many Vertices
Jahrestagung SPP 1489, Konstanz, March 20, 2013
(7) Polyhedral Adjunction Theory
Algebra Seminar, U Sydney, November 15, 2012
(8) Permutation, Marginal, and Cut Polytopes
ISMP 2012, Berlin, August 28, 2012
(9) Polyhedral Adjunction Theory
Jahrestagung des SPP 1489, Hannover, February 28, 2012
(10) Defect Polytopes and Dual Defective Toric Varieties
Emerging Developments in Real Algebraic Geometry, February 21, 2012
(11) Permutation Polytopes
Geometry Seminar,
Universität Bielefeld, , December 05, 2012
(12) Defect Polytopes and Counter-Examples with polymake
ISSAC 2011, June 08, 2011
Preprints
(1) Permutation Polytopes of Cyclic Groups, (joint with Barbara Baumeister, Christian Haase, and Benjamin Nill )
Preprint, TU Darmstadt, September 2011, 15 pages.
Publications
(2) Smooth Polytopes with negative Ehrhart Coefficients, (joint with Federico Castillo, Fu Liu, and Benjamin Nill )
Preprint, TU Darmstadt, June 2017, 16 pages.
To appear in: Journal of Combinatorial Theory, Series A , 160:316-331, November 2018.
(3) Existence of regular unimodular triangulations --- Positive Results, (joint with Christian Haase, Lindsay Piechnik, and Francisco Santos )
Preprint, TU Darmstadt, November 2018, 82 pages.
To appear in: Memoirs of the AMS , 2018.
(4) Toric Geometry in Polymake, (joint with Lars Kastner, Benjamin Lorenz, and Anna-Lena Winz )
Preprint, TU Darmstadt, June 2017, 4 pages.
Appeared in: ACM Communications in Computer Algebra , 51 ( 3 ): 92 - 94 , 2017.
(5) polyDB - A database for polytopes and related objects,
Preprint, TU Darmstadt, 2018, 14 pages.
Appeared in: Springer 533 - 547 , 2018 .
(6) polymake in Linear and Integer Programming , (joint with Benjamin Assarf , Ewgenij Gawrilow, Katrin Herr, Michael Joswig, Benjamin Lorenz, and Thomas Rehn )
Preprint, TU Darmstadt, August 2014, 31 pages.
To appear in: Mathematical Programming Computation .
(7) Faces of Birkhoff Polytopes,
Preprint, FU Berlin.
Appeared in: Electronic Journal of Combinatorics , 22:#P1.67, 2015.
(8) Finiteness of the polyhedral Q-codegree spectrum,
Preprint, TU Darmstadt, January 2013, 9 pages.
To appear in: Proc. AMS , 2014.
(9) Finitely smooth d-polytopes with N lattice points, (joint with Tristram Bogart , Christian Haase, Milena Hering , Benjamin Lorenz , Benjamin Nill, Günter Rote, Francisco Santos, and Hal Schenck )
Preprint, FU Berlin, October 2010, 24 pages.
Appeared in: Israel Journal of Mathematics , 2015.
(10) On the equality case in Ehrhart's volume conjecture, (joint with Benjamin Nill )
Preprint, TU Darmstadt, May 2012, 6 pages.
Appeared in: Advances in Geometry , 14 ( 4 ): 579 - 586 , 2014 .
(11) Smooth Fano Polytopes with Many Vertices, (joint with Benjamin Assarf and Michael Joswig )
Preprint, TU Darmstadt, September 2014, 36 pages.
Appeared in: Discrete and Computational Geometry , 52 ( 2 ): 153 - 194 , 2014 .
(12) Polyhedral Adjunction Theory, (joint with Sandra DiRocco, Christian Haase, and Benjamin Nill )
Preprint, Mittag-Leffler-Report, May 2011, 25 pages.
Appeared in: Algebra and Number Theory , 7 ( 10 ): 2417 - 2446 , 2013 .
(13) Polytopes Associated to dihedral groups, (joint with Barbara Baumeister, Christian Haase, and Benjamin Nill )
Preprint, TU Darmstadt, August 2011, 9 pages.
Appeared in: Ars Mathematica Contemporanea , 7 ( 1 ): 30 - 38 , 2014 .
(14) Examples of non-symmetric Kähler-Einstein toric Fano manifolds associated to reflexiv polytopes, (joint with Benjamin Nill )
Preprint, FU Berlin, May 2009, 7 pages.
Appeared in: Beiträge zur Algebra und Geometrie , 52 ( 2 ): 297 - 304 , 2011 .
(15) Quadratic Gröbner Bases for Smooth 3x3 Transportation Polytopes, (joint with Christian Haase )
Preprint, FU Berlin, June 2006, 11 pages.
Appeared in: Journal of Algebraic Combinatorics , 30 ( 4 ): 477 - 489 , 2009 .
(16) On Permutation Polytopes, (joint with Barbara Baumeister, Christian Haase, and Benjamin Nill )
Preprint, FU Berlin, September 2007, 22 pages.
Appeared in: Advances in Mathematics , 222 : 431-452 , 2009 .
(17) Lattice Points in Minkowski Sums, (joint with Christian Haase, Benjamin Nill, and Francisco Santos )
Preprint, FU Berlin, 2007, 5 pages.
Appeared in: Electronic Journal of Combinatorics , 15:#N11, 2008.
(18) On Fanos and Chimneys, (joint with Christian Haase )
Preprint, FU Berlin, 2007, 3 pages.
Appeared in: Oberwolfach Reports, in Report 39/2007 by Ben Howard:2303-2306.
(19) Constructions for 4-Polytopes and the Cone of Flag Vectors, (joint with Axel Werner )
Preprint, FU Berlin, November 2005, 20 pages.
Appeared in: Contemporary Mathematics , 423 : 283 - 303 , 2006 .
(20) New polytopes from products,
Preprint, December 2005, 23 pages.
Appeared in: Journal of Combinatorial Theory, Series A , 113 : 1396 - 1418 , 2006 .
(21) Bier spheres and posets, (joint with Anders Björner, Jonas Sjöstrand, and Günter M. Ziegler )
Preprint, November 2003, 15 pages.
Appeared in: Discrete and Computational Geometry , 34 ( 1 ): 71 - 86 , 2005 .
(22) The Et-construction for lattices, spheres, and polytopes, (joint with Günter M. Ziegler )
Preprint, April 2003, 21 pages.
Appeared in: Discrete and Computational Geometry , 32 ( 4 ): 601 - 621 , 2004 .
Conference Proceedings (refereed)
(23) Defect Polytopes and Counter-Examples With polymake, (joint with Michael Joswig )
extended abstract for ISSAC 2011, June 9-11, 2011, San Jose, CA (USA)
Preprint, TU Darmstadt, May 2011, 4 pages.
Appeared in: ACM Communications in Computer Algebra , 45 ( 3/4 ): 177-179 , 2011.
(24) Cyclic Permutation Polytopes, (joint with Barbara Baumeister, Christian Haase, and Benjamin Nill )
Preprint, TU Darmstadt, August 2012.
Appeared in: DMTCS Proceedings of FPSAC 2012 , AK : 421 - 532 , 2012 .
(25) Generating Smooth Lattice Polytopes, (joint with Christian Haase and Benjamin Lorenz )
Preprint, FU Berlin, July 2010.
Appeared in: Proceedings of the Third International Congress on Mathematical Software 2010, Lecture Notes in Computer Science , 6327 : 315 - 328 , 2010 .
(26) polymake and Lattice Polytopes, (joint with Michael Joswig and Benjamin Lorenz )
Preprint, FU Berlin, February 2009.
Appeared in: DMTCS Proceedings of FPSAC 2009 , AK : 491 - 502 , 2009 .
Lecture Notes
(27) Elementargeometrie,
Lecture Notes, FU Berlin, August 2007.
(28) Lattice Polytopes, (joint with Christian Haase and Benjamin Nill )
Lecture Notes, TU Darmstadt, December 2012.
(29) Polyhedral Geometry and Linear Optimization,
Lecture Notes, FU Berlin, July 2010.
Theses
(30) Constructions for Posets, Lattices, and Polytopes,
Dissertation, TU Berlin, May 2005.
(31) Geodätische Flüsse und Starrheit auf Flächen,
Diplomarbeit, Universität Bonn, September 2001.
(32) The Selberg Trace Formula and Determinants of the Laplacian,
Part III Essay, University of Cambridge (GB), June 1999.