Scheiblechner Peter HSLU T&A

Dr. Peter Scheiblechner Peter Scheiblechner

Lecturer

Scheiblechner Peter HSLU T&A

Lucerne School of Engineering and Architecture

Room E543
Technikumstrasse 21
6048 Horw


Institute of Natural Sciences and Humanities ING

Lecturer

+41 41 349 35 13

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Biography

Education

  • Ph. D. Mathematics, University of Paderborn, Germany, October 2007
  • Master Mathematics (minor subject: Physics), Albert-Ludwigs University Freiburg, Germany
  • Bachelor Mathematics (minor subject: Physics), Philipps-University Marburg, Germany, September 1993
  • High School Martin-Luther-Schule Marburg, Germany, 1991

Academic Experience

  • 09/2012 - today: Lecturer for Mathematics, Lucerne University of Applied Sciences and Arts, School of Engineering and Architecture
  • 05/2011 - 08/2012: Postdoc, Hausdorff Center for Mathematics, Bonn University, Germany
  • 01/2010 - 05/2011: Visiting Assistant Professor (Research Assistant Professor), Purdue University, USA
  • 09/2008 - 12/2009: Postdoctoral Fellow, Purdue University, USA
  • 09/2003 - 08/2008: Research Assistant, University of Paderborn, Germany

Business Experience

  • 07/1999 - 08/2003: Software developer (Smalltalk) and IT-Consultant at ClassWare GmbH, Freiburg (Brsg.), Germany
  • 10/2000 - 03/2001: Software developer (Smalltalk) at UBS, Zurich, Switzerland
  • 05 - 08/2000: Software developer (C++ and VB) at LexWare GmbH, Freiburg (Brsg.), Germany
  • 06/1998 - 06/1999: IT-Consultant and Software developer (SAP) at LITEF GmbH,  Freiburg (Brsg.), Germany

Grant/Awards

  • DFG (German Research Foundation) research fellowship SCHE 1639/1-1 (09/2008 - 02/2010)
  • 3rd price on the first level of the math competition of Germany, 1991
  • Champion on school and county level in the mathematics competition of the state government of Hessen, 1985/86

Research Interests

Computational Algebra, Geometry, and Topology, Algebraic and Classical Complexity Theory, Data Analysis, and Machine Learning

Subjects
  • Mathematics

Projects

Research projects

  • ENFLATE: ENabling FLexibility provision by all Actors and sectors through markets and digital TEchnologies
  • Bewertungs-Tool für die Web-Recherche
  • Leuchtdioden Überwachung für Notleuchten
  • Topologische Datenanalyse
  • Topologische Datenanalyse

Publications and presentations

Publications and presentations - Book/catalogue

  • Scheiblechner, Peter (2008). Complexity of Counting Components of Algebraic Varieties: Irreducible and Connected Components, Betti Numbers. Saarbrücken: VDM Verlag.

Publications and presentations - Article, review; peer reviewed

  • Bilski, Marcin & Scheiblechner, Peter (2022). Effective approximation of the solutions of algebraic equations. Journal of Symbolic Computation, 109 (2022), 144-176. doi: 10.1016/j.jsc.2021.08.002
  • Koehler, Jana; Bürgler, Josef; Fontana, Urs; Fux, Etienne; Herzog, Florian; Pouly, Marc; Saller, Sophia; Salyaeva, Anastasia; Scheiblechner, Peter & Waelti, Kai (15.06.2021). Cable Tree Wiring - Benchmarking Solvers on a Real-World Scheduling Problem with a Variety of Precedence Constraints. Springer Constraints, 2021, 1-51. doi: https://doi.org/10.1007/s10601-021-09321-w
  • Scheiblechner, Peter (2018). Effective de Rham Cohomology - The General Case. Communications in Contemporary Mathematics, 1-36. doi: 10.1142/S0219199718500670
  • Mittmann, Johannes; Saxena, Nitin & Scheiblechner, Peter (14.03.2014). Algebraic Independence in Positive Characteristic: A p-adic Calculus. Transactions of the American Mathematical Society, 2014(366(7)), 3425-3450. doi: 10.1090/S0002-9947-2014-06268-5
  • Scheiblechner, Peter (31.05.2012). Castelnuovo-Mumford Regularity and Computing the de Rham Cohomology of Smooth Projective Varieties. Foundations of Computational Mathematics, 2012(12(5)), 541-571. doi: 10.1007/s10208-012-9123-y
  • Scheiblechner, Peter (22.06.2010). On a Generalization of Stickelberger`s Theorem. Journal of Symbolic Computation, 2010(45(12)), 1459-1470. doi: 10.1016/j.jsc.2010.06.020
  • Bürgisser, Peter & Scheiblechner, Peter (24.02.2010). Counting Irreducible Components of Complex Algebraic Varieties. Computational Complexity (CC), 2010(1), 1-35. doi: 10.1007/s00037-009-0283-3
  • Bürgisser, Peter & Scheiblechner, Peter (13.02.2009). On the Complexity of Counting Components of Algebraic Varieties. Journal of Symbolic Computation, 2009(44(9)), 1114-1136. doi: 10.1016/j.jsc.2008.02.009
  • Scheiblechner, Peter (20.04.2007). On the Complexity of Deciding Connectedness and Computing Betti Numbers of a Complex Algebraic Variety. Journal of Complexity, 2007(23(3)), 359-379. doi: 10.1016/j.jco.2007.03.008

Publications and presentations - Report/working paper

  • Koehler, Jana; Bürgler, Josef; Fontana, Urs; Fux, Etienne; Herzog, Florian; Pouly, Marc; Saller, Sophia; Salyaeva, Anastasia; Scheiblechner, Peter & Waelti, Kai (2020). Cable Tree Wiring - Benchmarking Solvers on a Real-World Scheduling Problem with a Variety of Precedence Constraints (Bericht).

Publications and presentations - Theses (Bachelor/Master/Dissertation/Habilitation)

  • Scheiblechner, Peter (2007). On the Complexity of Counting Irreducible Components and Computing Betti Numbers of Algebraic Varieties. Dissertation, University of Paderborn., Germany.
  • Scheiblechner, Peter (1997). Eine C++-Bibliothek für verschiedene algebraische Strukturen (nicht veröffentlichte Master-/Lizentiats-/Diplomarbeit). Albert-Ludwigs-Universität Freiburg i. Br., Deutschland.

Publications and presentations - Presentation (conference/report/lectures)

  • Koehler, Jana; Bürgler, Josef; Fontana, Urs; Fux, Etienne; Herzog, Florian; Pouly, Marc; Saller, Sophia; Salyaeva, Anastasia; Scheiblechner, Peter & Waelti, Kai (05.07.2021). Cable Tree Wiring - Benchmarking Solvers on a Real-World Scheduling Problem with a Variety of Precedence Constraints. 18th International Conference on the Integration of Constraint Programming, Artificial Intelligence, and Operations Research, Vienna.
  • Scheiblechner, Peter (22.07.2012). Effective de Rham Cohomology: The Hypersurface Case. Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation, Grenoble, France.
  • Scheiblechner, Peter (23.09.2010). On Lower Bounds for Algebraic Decision Trees over the Complex Numbers. 12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, Timisoara, Romania.
  • Scheiblechner, Peter (17.02.2010). Comparison of Complexity over the Real vs. Complex Numbers. Logical Approaches to Barriers in Computing and Complexity, Greifswald, Germany.
  • Bürgisser, Peter & Scheiblechner, Peter (29.07.2007). Differential Forms in Computational Algebraic Geometry. ISSAC `07: Proceedings of the 2007 International Symposium on Symbolic and Algebraic Computation, Waterloo, Ontario, Canada.