Prof. Dr. Daniel Robertz

Office:	Pontdriesch 14/16, room 102
e-mail:
Telephone:	+49 (0)241 80 94543
Telephone (Secretary):	+49 (0)241 80 94542
Mail address: Lehrstuhl für Algebra und Zahlentheorie RWTH Aachen University D-52056 Aachen Germany

Current Seminars:

Joint Algebra Seminar (RWTH Aachen University)

Kolchin Seminar in Differential Algebra (online/New York)

Diff.-Equations and Singularities Seminar (online)

Publications / software: MathSciNet / Zentralblatt / arxiv / Digital Bibliography & Library Project / ACM Digital Library / HAL

Differential Algebra / Difference Algebra / Computer Algebra

Discrete Geometry / Simplicial Surfaces

Group Theory / Invariant Theory

Algebraic Systems Theory

Editorial Work

Abstracts

Workshops

Differential Algebra / Difference Algebra / Computer Algebra
 
Maple packages Janet, Involutive, JanetOre and LDA
 
Publications

• D. Robertz, M. Seiß arxiv journal
  Normal Forms in Differential Galois Theory for the Classical Groups
  Communications in Algebra 51:4 (2023), pp. 1492-1516
  
  
• J. Cano, S. Falkensteiner, D. Robertz, J. R. Sendra arxiv journal
  Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables
  Journal of Symbolic Computation 114 (2023), pp. 1-17
  
  
• M. Lange-Hegermann, D. Robertz arxiv chapter
  On boundary conditions parametrized by analytic functions
  in: F. Boulier, M. England, T. M. Sadykov, E. V. Vorozhtsov (eds.), Computer Algebra in Scientific Computing — 24th International Workshop, CASC 2022, Gebze, Turkey, August 22-26, 2022, Proceedings, Lecture Notes in Computer Science, Vol. 13366, Springer, 2022, pp. 225-245
  
  
• M. Lange-Hegermann, D. Robertz, W. M. Seiler, M. Seiß arxiv journal
  Singularities of Algebraic Differential Equations
  Advances in Applied Mathematics 131 (2021), Paper No. 102266
  
  
• A. Hashemi, T. Izgin, D. Robertz, W. M. Seiler journal
  An Involutive GVW Algorithm and the Computation of Pommaret Bases
  Mathematics in Computer Science 15:3 (2021), pp. 419-452
  Extended Abstract in: Computer Algebra in Scientific Computing, 22nd International Workshop CASC 2020, pp. 23-26
  
  
• V. P. Gerdt, D. Robertz arxiv proceedings
  Algorithmic Approach to Strong Consistency Analysis of Finite Difference Approximations to PDE Systems
  in: R. Bradford (ed.), Proceedings of the 2019 International Symposium on Symbolic and Algebraic Computation, Beihang University, Beijing, China, 2019, pp. 163-170
  
  
• V. P. Gerdt, M. Lange-Hegermann, D. Robertz arxiv journal
  The MAPLE package TDDS for computing Thomas decompositions of systems of nonlinear PDEs
  Computer Physics Communications 234 (2019), pp. 202-215
  
  
• D. Robertz lecture notes
  Formal methods for systems of partial differential equations
  Les cours du CIRM 6:1 (2018), pp. 1-37 (Journées Nationales de Calcul Formel (2018))
  
  
• D. Robertz proceedings
  Formal Algorithmic Elimination for PDEs
  in: M. Rosenkranz (ed.), Proceedings of the 2016 International Symposium on Symbolic and Algebraic Computation, Waterloo, Ontario, Canada, pp. 19-22
  
  
• V. P. Gerdt, D. Robertz arxiv journal
  Lagrangian Constraints and Differential Thomas Decomposition
  Advances in Applied Mathematics 72 (2016), pp. 113-138
  
  
• D. Robertz book
  Formal Algorithmic Elimination for PDEs
  Lecture Notes in Mathematics, Volume 2121, Springer, 2014
  
  
• A. Quadrat, D. Robertz HAL journal
  A constructive study of the module structure of rings of partial differential operators
  Acta Applicandae Mathematicae 133:1 (2014), pp. 187-234
  
  
• V. P. Gerdt, D. Robertz arxiv journal
  Computation of Difference Gröbner Bases
  Computer Science Journal of Moldova 20:2 (59) (2012), pp. 203-226
  
  
• T. Bächler, V. P. Gerdt, M. Lange-Hegermann, D. Robertz arxiv journal
  Algorithmic Thomas Decomposition of Algebraic and Differential Systems
  Journal of Symbolic Computation 47:10 (2012), pp. 1233-1266
  
  
• T. Bächler, V. P. Gerdt, M. Lange-Hegermann, D. Robertz arxiv chapter
  Thomas Decomposition of Algebraic and Differential Systems
  in: V. P. Gerdt, W. Koepf, E. W. Mayr, E. V. Vorozhtsov (eds.), Computer Algebra in Scientific Computing, 12th International Workshop, CASC 2010, Tsakhadzor, Armenia,
  Proceedings Series: Lecture Notes in Computer Science, Vol. 6244, Springer, 2010, pp. 31-54
  
  
• W. Plesken, D. Robertz journal
  Linear Differential Elimination for Analytic Functions
  Mathematics in Computer Science 4:2-3 (2010), pp. 231-242
  
  
• V. P. Gerdt, D. Robertz proceedings
  Consistency of Finite Difference Approximations for Linear PDE Systems and its Algorithmic Verification
  in: S. M. Watt (ed.), Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, TU München, Germany, 2010, pp. 53-59
  
  
• D. Robertz journal
  Noether normalization guided by monomial cone decompositions
  Journal of Symbolic Computation 44:10 (2009), pp. 1359-1373
  
  
• M. Barakat, D. Robertz arxiv journal
  conley: Computing connection matrices in Maple
  Journal of Symbolic Computation 44:5 (2009), pp. 540-557
  
  
• W. Plesken, D. Robertz journal
  Elimination for coefficients of special characteristic polynomials
  Experimental Mathematics 17:4 (2008), pp. 499-510
  
  
• M. Barakat, D. Robertz arxiv journal
  homalg: A meta-package for homological algebra
  Journal of Algebra and Its Applications 7:3 (2008), pp. 299-317
  
  
• A. Quadrat, D. Robertz HAL journal
  Computation of bases of free modules over the Weyl algebras
  Journal of Symbolic Computation 42:11-12 (2007), pp. 1113-1141
  
  
• W. Plesken, D. Robertz chapter
  Some Elimination Problems for Matrices
  in: V. G. Ganzha, E. W. Mayr, E. V. Vorozhtsov (eds.), Computer Algebra in Scientific Computing, 10th International Workshop, CASC 2007, Bonn, Germany,
  Proceedings Series: Lecture Notes in Computer Science, Vol. 4770, Springer, 2007, pp. 350-359
  
  
• D. Robertz chapter
  Janet Bases and Applications
  in: M. Rosenkranz, D. Wang (eds.), Groebner Bases in Symbolic Analysis, Radon Series on Computational and Applied Mathematics 2, de Gruyter, 2007, pp. 139-168
  
  
• B. Corves, D. Abel, W. Plesken, F. Harmeling, D. Robertz, J. Maschuw
  Methoden und Werkzeuge zum Entwurf mechatronischer Bewegungssysteme mit ungleichmäßig übersetzenden Getrieben
  in: VDI Berichte, vol. 1963, VDI-Verlag, 2006, pp. 557-573
  
  
• V. P. Gerdt, D. Robertz
  Computation of Gröbner Bases for Systems of Linear Difference Equations
  Computeralgebra-Rundbrief 37 (2005), pp. 8-16
  
  
• V. P. Gerdt, D. Robertz arxiv journal
  A Maple Package for Computing Gröbner Bases for Linear Recurrence Relations
  Nuclear Instruments and Methods in Physics Research, A 559:1 (2006), pp. 215-219 (Proceedings of ACAT 05)
  
  
• W. Plesken, D. Robertz journal
  Janet's approach to presentations and resolutions for polynomials and linear pdes
  Archiv der Mathematik 84:1 (2005), pp. 22-37
  
  
• Y. A. Blinkov, C. F. Cid, V. P. Gerdt, W. Plesken, D. Robertz
  The MAPLE Package "Janet": I. Polynomial Systems. II. Linear Partial Differential Equations
  in: V. G. Ganzha, E. W. Mayr, E. V. Vorozhtsov (eds.), Proceedings of the 6th International Workshop on Computer Algebra in Scientific Computing (CASC 2003), Passau, Germany, 2003, pp. 31-40 and 41-54

• R. Akpanya, T. Goertzen, Y. Liu, S. Stüttgen, D. Robertz, Y. M. Xie, A. C. Niemeyer
  Constructing Topological Interlocking Assemblies Based on an Aperiodic Monotile
  in: Philippe Block, Giulia Boller, Catherine DeWolf, Jacqueline Pauli, Walter Kaufmann (eds.), Proceedings of the IASS 2024 Symposium (Redefining the Art of Structural Design), August 26-30, 2024, Zurich, Switzerland
  
  
• V. Caruso, G. Kikis, C. Krüger, F. Liebold, D. Macek, L. Mester, J. Platen, S. Ritzert, S. Stüttgen, M. Kaliske, S. Klinkel, S. Loehnert, H.-G. Maas, S. Reese, D. Robertz journal
  Ansätze für numerische Methoden zur Inspiration, Analyse und Bewertung neuartiger Carbonbetonstrukturen
  Bauingenieur 98:11 (2023), pp. 368-377
  
  
• S. Stüttgen, R. Akpanya, B. Beckmann, R. Chudoba, D. Robertz, A. C. Niemeyer journal
  Modular Construction of Topological Interlocking Blocks — an Algebraic Approach for Resource-Efficient Carbon-Reinforced Concrete Structures
  Buildings 13:10 (2023), 2565
  
  
• D. Robertz, H. Spartali, W. Plesken, R. Chudoba, A. C. Niemeyer proceedings
  Semi-symmetric origami waterbomb cell kinematics and tessellation for the design of thin-walled folded shells
  in: Su-duo Xue, Jin-zhi Wu, Guo-jun Sun (eds.), IASS/APCS 2022: Annual Symposium of the International Association for Shell and Spatial Structures (IASS 2022), affiliated with 13th Asian-Pacific Conference on Shell and Spatial Structures (APCS 2022), pp. 2314-2324
  
  
• D. Robertz
  Symmetric embeddings of the icosahedron
  Computeralgebra-Rundbrief 71 (2022), pp. 10-14
  
  
• R. Chudoba, A. Niemeyer, H. Spartali, D. Robertz, W. Plesken proceedings
  Description of the origami waterbomb cell kinematics as a basis for the design of thin-walled oricrete shells
  in: S. A. Behnejad, G. A. R. Parke, O. A. Samavati (eds.), IASS2020/21-SURREY7: Annual Symposium of the International Association for Shell and Spatial Structures (IASS2020/21) and the 7th Surrey International Conference on Spatial Structure, pp. 2681-2689
  
  
• K.-H. Brakhage, A. C. Niemeyer, W. Plesken, D. Robertz, A. Strzelczyk arxiv journal
  The icosahedra of edge length 1
  Journal of Algebra 545 (2020), pp. 4-26
  accompanying web page

• M. J. Craven, D. Robertz journal
  A parallel evolutionary approach to solving systems of equations in polycyclic groups
  Groups Complexity Cryptology 8:2 (2016), pp. 109-125
  
  
• W. Plesken, D. Robertz journal
  The average number of cycles
  Archiv der Mathematik 93:5 (2009), pp. 445-449
  
  
• W. Plesken, D. Robertz journal
  Representations, commutative algebra, and Hurwitz groups
  Journal of Algebra 300:1 (2006), pp. 223-247
  
  
• W. Plesken, D. Robertz journal
  Constructing Invariants for Finite Groups
  Experimental Mathematics 14:2 (2005), pp. 175-188

• M. Lange-Hegermann, D. Robertz arxiv chapter
  Thomas Decomposition and Nonlinear Control Systems
  in: A. Quadrat and E. Zerz (eds.), Algebraic and Symbolic Computation Methods in Dynamical Systems, Advances in Delays and Dynamics, Vol. 9, Springer, 2020, pp. 117-146
  
  
• D. Robertz journal
  Recent Progress in an Algebraic Analysis Approach to Linear Systems
  Multidimensional Systems and Signal Processing 26:2 (2015), pp. 349-388
  
  
• A. Quadrat, D. Robertz HAL proceedings
  Stafford's reduction of linear partial differential systems
  in: Proceedings of the IFAC Joint Conference: 5th Symposium on System Structure and Control, 11th Workshop on Time-Delay Systems, and 6th Workshop on Fractional Differentiation and Its Applications, Grenoble, France, 2013, pp. 309-314
  
  
• M. Lange-Hegermann, D. Robertz arxiv proceedings
  Thomas decompositions of parametric nonlinear control systems
  in: Proceedings of the IFAC Joint Conference: 5th Symposium on System Structure and Control, 11th Workshop on Time-Delay Systems, and 6th Workshop on Fractional Differentiation and Its Applications, Grenoble, France, 2013, pp. 291-296
  
  
• A. Quadrat, D. Robertz proceedings
  Controllability and differential flatness of linear analytic ordinary differential systems
  in: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), Budapest, Hungary, 2010
  also in: E. Zerz (ed.), Algebraic Systems Theory, Behaviors, and Codes, Shaker, 2010, pp. 23-30
  
  
• A. Quadrat, D. Robertz HAL
  Baer's extension problem for multidimensional linear systems
  in: Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2008), Virginia Tech, Blacksburg, Virginia (USA), 2008
  
  
• F. Chyzak, A. Quadrat, D. Robertz chapter
  OreModules: A symbolic package for the study of multidimensional linear systems
  in: J. Chiasson, J.-J. Loiseau (eds.), Applications of Time-Delay Systems, Lecture Notes in Control and Information Sciences, Vol. 352, Springer, 2007, pp. 233-264
  
  
• A. Quadrat, D. Robertz
  Constructive computation of flat outputs of a class of multidimensional linear systems with variable coefficients
  in: Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto, Japan, 2006, pp. 583-595
  
  
• A. Quadrat, D. Robertz
  On the Monge problem and multidimensional optimal control
  in: Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto, Japan, 2006, pp. 596-605
  
  
• M. Barakat, D. Robertz
  Computing Invariants of Multidimensional Linear Systems on an Abstract Homological Level
  in: Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto, Japan, 2006, pp. 542-559
  
  
• F. Chyzak, A. Quadrat, D. Robertz HAL journal
  Effective algorithms for parametrizing linear control systems over Ore algebras
  Applicable Algebra in Engineering, Communication and Computing 16:5 (2005), pp. 319-376
  
  
• A. Quadrat, D. Robertz proceedings
  On the blowing-up of stably free behaviours
  in: Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, Seville, Spain, 2005, pp. 1541-1546
  
  
• A. Quadrat, D. Robertz proceedings
  Parametrizing all solutions of uncontrollable multidimensional linear systems
  in: Proceedings of the 16th IFAC World Congress, Prague, Czech Republic, 2005
  
  
• F. Chyzak, A. Quadrat, D. Robertz
  OreModules: A symbolic package for the study of multidimensional linear systems
  in: Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2004), Katholieke Universiteit Leuven, Belgium, 2004
  
  
• F. Chyzak, A. Quadrat, D. Robertz proceedings
  Linear control systems over Ore algebras: Effective algorithms for the computation of parametrizations
  in: Proceedings of the IFAC Workshop on Time-Delay Systems 2003, INRIA Rocquencourt, France, 2003

Editorial work

• Editorial Board of Mathematics in Computer Science
  
  
• D. Robertz, W. M. Seiler
  Special Issue in Honor of Vladimir Gerdt
  Special Issue of Mathematics in Computer Science, Vol. 16, Issue 4, December 2022
  
  
• M. Beaudin, T. Dana-Picard, I. Kotsireas, C. Koutschan, A. Levin, D. Robertz
  Applications of Computer Algebra (ACA 2017, Jerusalem)
  Special Issue of Mathematics in Computer Science, Vol. 13, Issue 1-2, June 2019
  
  
• S. Linton, D. Robertz, K. Yokoyama
  Proceedings of the 40th International Symposium on Symbolic and Algebraic Computation (ISSAC), University of Bath, United Kingdom, 2015
  Association for Computing Machinery, New York, NY, USA, 2015

Abstracts

• D. Robertz
  Applying Thomas decomposition and algebraic analysis to certain nonlinear PDE systems (joint with Thomas Cluzeau, Alban Quadrat)
  in: Mathematisches Forschungsinstitut Oberwolfach Report No. 25/2013, 2013, pp. 1521-1522
  
  
• D. Robertz
  Parametrizing linear systems (joint with Frédéric Chyzak, Alban Quadrat)
  in: Mathematisches Forschungsinstitut Oberwolfach Report No. 50/2009, 2009, pp. 2755-2758
  
  
• D. Robertz
  The Auslander-Buchsbaum-Serre theorem
  in: Mathematisches Forschungsinstitut Oberwolfach Report No. 50/2009, 2009, pp. 2750-2751
  
  
• D. Robertz
  Representations, commutative algebra, and Hurwitz groups (joint with Wilhelm Plesken)
  in: Mathematisches Forschungsinstitut Oberwolfach Report No. 30/2006, 2006, pp. 1842-1843

Workshops

• Symposium on Sparsity and Singular Structures (M. Bachmayr, M. Dolbeault, C. Melcher, H. Rauhut, D. Robertz, M. Westdickenberg, L. Zhang), SFB1481, RWTH Aachen University, 26.-29.02.2024
  
  
• Computational differential and difference algebra and its applications (A. Levin, A. Ovchinnikov, D. Robertz), Applications of Computer Algebra (ACA) 2023, Warsaw, Poland, 17.-21.07.2023
  
  
• Botanical and mathematical principles for inspiring design of carbon fibre reinforced concrete (A. Niemeyer, D. Robertz), Advance AEC Autumn School 2022, Cluster of Excellence intCDC, University of Stuttgart, 11.10.2022
  
  
• Computational differential and difference algebra and its applications (A. Levin, A. Ovchinnikov, D. Robertz), Applications of Computer Algebra (ACA) 2022, Gebze Technical University, Turkey, 15.-19.08.2022
  
  
• Computational differential and difference algebra and its applications (R. La Scala, A. Levin, D. Robertz), Applications of Computer Algebra (ACA) 2021, online, 23.-27.07.2021
  
  
• Workshop in Honor of Vladimir Gerdt, pre-conference workshop at International Symposium on Symbolic and Algebraic Computation (ISSAC) 2021, St. Petersburg, Russia, 18.07.2021
  
  
• LMS Women in Mathematics Day 2021 (N. Broomhead, C. Christopher, D. Robertz, Y. Wei), University of Plymouth, United Kingdom, 24.03.2021
  
  
• Computational differential and difference algebra (V. P. Gerdt, A. Levin, D. Robertz), Applications of Computer Algebra (ACA) 2018, Santiago de Compostela, Spain, 18.-22.06.2018
  
  
• Computer differential and difference algebra and its applications (V. P. Gerdt, A. Levin, D. Robertz), Applications of Computer Algebra (ACA) 2017, Jerusalem, Israel, 17.-21.07.2017
  
  
• Difference computer algebra and its applications (V. P. Gerdt, R. La Scala, A. Levin, D. Robertz), Applications of Computer Algebra (ACA) 2016, Kassel, Germany, 01.-04.08.2016
  
  
• South West and South Wales Regional Meeting of the London Mathematical Society, Workshop on Differential Algebra, Centre for Mathematical Sciences, Plymouth University, United Kingdom, 17.-19.12.2014
  
  
• Rings of Differential and Integral Operators, Centre for Mathematical Sciences, Plymouth University, United Kingdom, 05.06.2014
  
  
• Mini-Symposium Symbolic methods in multidimensional systems theory (A. Quadrat, D. Robertz), 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto, Japan, 24.07.2006